započeta konstrukcija naprave za smik

potrebno napraviti poglavlje o jigu za smik
2025-08-23 14:32:25 +02:00 · 2025-08-21 16:41:57 +02:00
37 changed files with 4859 additions and 730 deletions
--- a/CAD/EPRUVETA_VLAK.20250820-200039.FCBak
+++ b/CAD/EPRUVETA_VLAK.20250820-200039.FCBak
--- a/CAD/EPRUVETA_VLAK.FCStd
+++ b/CAD/EPRUVETA_VLAK.FCStd
--- a/CAD/V-NOTCH_SHEAR/V_NOTCH_SHEAR_JIG.20250821-170356.FCBak
+++ b/CAD/V-NOTCH_SHEAR/V_NOTCH_SHEAR_JIG.20250821-170356.FCBak
--- a/CAD/V-NOTCH_SHEAR/V_NOTCH_SHEAR_JIG.FCStd
+++ b/CAD/V-NOTCH_SHEAR/V_NOTCH_SHEAR_JIG.FCStd
--- a/CAD/V-NOTCH_SHEAR/imports/DIN912_M6x40.20250821-133804.FCBak
+++ b/CAD/V-NOTCH_SHEAR/imports/DIN912_M6x40.20250821-133804.FCBak
--- a/CAD/V-NOTCH_SHEAR/imports/DIN912_M6x40.FCStd
+++ b/CAD/V-NOTCH_SHEAR/imports/DIN912_M6x40.FCStd
--- a/CAD/V-NOTCH_SHEAR/imports/DIN912_M6x40.step
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--- a/CAD/V-NOTCH_SHEAR/imports/DIN934_M6.20250821-134046.FCBak
+++ b/CAD/V-NOTCH_SHEAR/imports/DIN934_M6.20250821-134046.FCBak
--- a/CAD/V-NOTCH_SHEAR/imports/DIN934_M6.FCStd
+++ b/CAD/V-NOTCH_SHEAR/imports/DIN934_M6.FCStd
--- a/CAD/V-NOTCH_SHEAR/imports/DIN934_M6.STEP
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--- a/CAD/V-NOTCH_SHEAR/imports/EPRUVETA_SMIK.20250821-134731.FCBak
+++ b/CAD/V-NOTCH_SHEAR/imports/EPRUVETA_SMIK.20250821-134731.FCBak
--- a/CAD/V-NOTCH_SHEAR/imports/EPRUVETA_SMIK.FCStd
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 \abx@aux@defaultrefcontext{0}{rods2001diffusion}{nty/global//global/global/global}
+\abx@aux@defaultrefcontext{0}{Stamopoulos2020}{nty/global//global/global/global}
 \abx@aux@defaultrefcontext{0}{sun2008effect}{nty/global//global/global/global}
 \abx@aux@defaultrefcontext{0}{zandi2020mechanical}{nty/global//global/global/global}
-\gdef \@abspage@last{25}
+\gdef \@abspage@last{37}
--- a/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl
+++ b/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl
@@ -730,6 +730,55 @@
      \field{pages}{144\bibrangedash 152}
      \range{pages}{9}
    \endentry
+    \entry{Stamopoulos2020}{article}{}{}
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+           family={Stamopoulos},
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+        {{hash=418a46b0274087acdbdb581e0e5d6fbb}{%
+           family={Genova},
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+        {EDP Sciences}%
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+      \field{labelnamesource}{author}
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+      \field{journaltitle}{Manufacturing Rev.}
+      \field{title}{Assessment of the shear properties of thermoplastic composites using the ±45° tension and the V-notched rail shear methods}
+      \field{volume}{7}
+      \field{year}{2020}
+      \field{pages}{10}
+      \range{pages}{1}
+      \verb{doi}
+      \verb 10.1051/mfreview/2020007
+      \endverb
+      \verb{urlraw}
+      \verb https://doi.org/10.1051/mfreview/2020007
+      \endverb
+      \verb{url}
+      \verb https://doi.org/10.1051/mfreview/2020007
+      \endverb
+    \endentry
    \entry{sun2008effect}{article}{}{}
      \name{author}{4}{}{%
        {{hash=8e935d2e8b401b4d9e64ed1f9a77574d}{%
--- a/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl-SAVE-ERROR
+++ b/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl-SAVE-ERROR
@@ -730,6 +730,55 @@
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      \range{pages}{9}
    \endentry
+    \entry{Stamopoulos2020}{article}{}{}
+      \name{author}{3}{}{%
+        {{hash=fafeace11f32b6cb21f14cd692cbf26b}{%
+           family={Stamopoulos},
+           familyi={S\bibinitperiod},
+           given={Antonios\bibnamedelima G.},
+           giveni={A\bibinitperiod\bibinitdelim G\bibinitperiod}}}%
+        {{hash=418a46b0274087acdbdb581e0e5d6fbb}{%
+           family={Genova},
+           familyi={G\bibinitperiod},
+           given={Luca\bibnamedelimb Glauco\bibnamedelima Di},
+           giveni={L\bibinitperiod\bibinitdelim G\bibinitperiod\bibinitdelim D\bibinitperiod}}}%
+        {{hash=bc9f7b50e0dcf80aa14834055c033af8}{%
+           family={Ilio},
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+           given={Antoniomaria\bibnamedelima Di},
+           giveni={A\bibinitperiod\bibinitdelim D\bibinitperiod}}}%
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+      \list{publisher}{1}{%
+        {EDP Sciences}%
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+      \field{labeltitlesource}{title}
+      \field{journaltitle}{Manufacturing Rev.}
+      \field{title}{Assessment of the shear properties of thermoplastic composites using the ±45° tension and the V-notched rail shear methods}
+      \field{volume}{7}
+      \field{year}{2020}
+      \field{pages}{10}
+      \range{pages}{1}
+      \verb{doi}
+      \verb 10.1051/mfreview/2020007
+      \endverb
+      \verb{urlraw}
+      \verb https://doi.org/10.1051/mfreview/2020007
+      \endverb
+      \verb{url}
+      \verb https://doi.org/10.1051/mfreview/2020007
+      \endverb
+    \endentry
    \entry{sun2008effect}{article}{}{}
      \name{author}{4}{}{%
        {{hash=8e935d2e8b401b4d9e64ed1f9a77574d}{%
--- a/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf
+++ b/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf
@@ -2403,6 +2403,7 @@
    <bcf:citekey order="26" intorder="1">bazjanacNauka1</bcf:citekey>
    <bcf:citekey order="27" intorder="1">bazjanacNauka1</bcf:citekey>
    <bcf:citekey order="28" intorder="1">cojocaru2025dogbone</bcf:citekey>
+    <bcf:citekey order="29" intorder="1">Stamopoulos2020</bcf:citekey>
  </bcf:section>
  <!-- SORTING TEMPLATES -->
  <bcf:sortingtemplate name="nty">
--- a/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf-SAVE-ERROR
+++ b/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf-SAVE-ERROR
@@ -2403,3 +2403,4 @@
    <bcf:citekey order="26" intorder="1">bazjanacNauka1</bcf:citekey>
    <bcf:citekey order="27" intorder="1">bazjanacNauka1</bcf:citekey>
    <bcf:citekey order="28" intorder="1">cojocaru2025dogbone</bcf:citekey>
+    <bcf:citekey order="29" intorder="1">Stamopoulos2020</bcf:citekey>
--- a/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.blg
+++ b/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.blg
@@ -1,17 +1,17 @@
 [0] Config.pm:308> INFO - This is Biber 2.20
 [0] Config.pm:311> INFO - Logfile is 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.blg'
-[49] biber:342> INFO - === Wed Aug 20, 2025, 19:20:50
-[60] Biber.pm:420> INFO - Reading 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf'
-[93] Biber.pm:994> INFO - Found 20 citekeys in bib section 0
-[104] Biber.pm:4463> INFO - Processing section 0
-[111] Biber.pm:4654> INFO - Looking for bibtex file 'literatura.bib' for section 0
-[112] bibtex.pm:1713> INFO - LaTeX decoding ...
+[48] biber:342> INFO - === Sat Aug 23, 2025, 14:16:35
+[59] Biber.pm:420> INFO - Reading 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf'
+[92] Biber.pm:994> INFO - Found 21 citekeys in bib section 0
+[105] Biber.pm:4463> INFO - Processing section 0
+[110] Biber.pm:4654> INFO - Looking for bibtex file 'literatura.bib' for section 0
+[111] bibtex.pm:1713> INFO - LaTeX decoding ...
 [121] bibtex.pm:1519> INFO - Found BibTeX data source 'literatura.bib'
-[211] UCollate.pm:68> INFO - Overriding locale 'hr-HR' defaults 'variable = shifted' with 'variable = non-ignorable'
-[211] UCollate.pm:68> INFO - Overriding locale 'hr-HR' defaults 'normalization = NFD' with 'normalization = prenormalized'
-[211] Biber.pm:4283> INFO - Sorting list 'nty/global//global/global/global' of type 'entry' with template 'nty' and locale 'hr-HR'
-[226] bbl.pm:677> INFO - Writing 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl' with encoding 'UTF-8'
-[230] bbl.pm:780> INFO - Output to ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl
-[230] Biber.pm:131> WARN - Duplicate entry key: 'kuznetsov2018strengthPLA' in file 'literatura.bib', skipping ...
-[230] Biber.pm:131> WARN - legacy year field '1963.' in entry 'bazjanacNauka1' is not an integer - this will probably not sort properly.
-[230] Biber.pm:133> INFO - WARNINGS: 2
+[227] UCollate.pm:68> INFO - Overriding locale 'hr-HR' defaults 'normalization = NFD' with 'normalization = prenormalized'
+[227] UCollate.pm:68> INFO - Overriding locale 'hr-HR' defaults 'variable = shifted' with 'variable = non-ignorable'
+[227] Biber.pm:4283> INFO - Sorting list 'nty/global//global/global/global' of type 'entry' with template 'nty' and locale 'hr-HR'
+[243] bbl.pm:677> INFO - Writing 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl' with encoding 'UTF-8'
+[248] bbl.pm:780> INFO - Output to ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl
+[248] Biber.pm:131> WARN - Duplicate entry key: 'kuznetsov2018strengthPLA' in file 'literatura.bib', skipping ...
+[248] Biber.pm:131> WARN - legacy year field '1963.' in entry 'bazjanacNauka1' is not an integer - this will probably not sort properly.
+[248] Biber.pm:133> INFO - WARNINGS: 2
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-  "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf" 1755712624.24476 110859 94e5bf57c6d455024a9a45dfe4f7bfa8 "pdflatex"
-  "literatura.bib" 1755688924.09158 7875 fc150ea06baf56ac030f0b194add21dd ""
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+  "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf" 1755952331.24557 110930 78500a82cbacb8c6073d8b4b0765071c "pdflatex"
+  "literatura.bib" 1755950408.49282 8363 10f2631a3c522628af031baf6131e8ab ""
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  "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.blg"
  (rewritten before read)
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+["pdflatex"] 1755952329.49209 "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.tex" "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.pdf" "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka" 1755952331.32682 0
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 INPUT ./media/imgs/planiranje_eksperimenta/epruveta_vlak_skica.jpg
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+INPUT ./media/imgs/planiranje_eksperimenta/naprava_smik.jpg
+INPUT ./media/imgs/planiranje_eksperimenta/naprava_smik.jpg
+INPUT ./media/imgs/planiranje_eksperimenta/naprava_smik.jpg
+INPUT ./media/imgs/planiranje_eksperimenta/naprava_smik.jpg
+INPUT ./media/imgs/analiza_podataka/vlak_2d_stojeci.jpg
+INPUT ./media/imgs/analiza_podataka/vlak_2d_stojeci.jpg
+INPUT ./media/imgs/analiza_podataka/vlak_2d_stojeci.jpg
+INPUT ./media/imgs/analiza_podataka/vlak_2d_stojeci.jpg
+INPUT ./media/imgs/analiza_podataka/vlak_2d_stojeci.jpg
+INPUT ./media/imgs/analiza_podataka/vlak_2d_lezeci.jpg
+INPUT ./media/imgs/analiza_podataka/vlak_2d_lezeci.jpg
+INPUT ./media/imgs/analiza_podataka/vlak_2d_lezeci.jpg
+INPUT ./media/imgs/analiza_podataka/vlak_2d_lezeci.jpg
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--- a/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.log
+++ b/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.log
--- a/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.pdf
+++ b/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.pdf
--- a/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.tex
+++ b/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.tex
@@ -19,6 +19,36 @@
 \usepackage{caption}
 \usepackage[backend=biber,style=numeric]{biblatex}
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+\usepackage{listings}
+\usepackage{inconsolata}  % ako želiš lijepi monospaced font
+\usepackage{listings}
+\usepackage{xcolor}
+\usepackage{pdflscape}
+
+\lstdefinestyle{python}{
+    language=Python,
+    basicstyle=\ttfamily\footnotesize,
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+
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 \addbibresource{literatura.bib}
@@ -520,7 +550,7 @@ U ovom radu koristit će se Taguchijeva metoda kako bi se utvrdio utjecaj 5 fakt



-
+\pagebreak
 \section{Planiranje eksperimenta}\label{sec:planiranje_eksperimenta}

 U ovom poglavlju definirani su ispitivani parametri, pripadajuće razine, korištena Taguchijeva matrica, dimenzije i konfiguracija uzoraka te korišteni materijali i 
@@ -1001,6 +1031,180 @@ Geometrija epruveta i njihovih prihvata prikazana je na skicama \ref{fig:epruvet
    \label{fig:epruveta_vlak_skica}
 \end{figure}

+\subsection{Materijali, oprema i postavke} \label{subsec:materijali_i_oprema}
+
+U svrhu eksperimenta korišteni su sljedeći materijali i oprema:
+
+\begin{itemize}
+    \item \textbf{3D Printer}\\
+        \textbf{Bambu Lab P1S} FDM pisač odabran je zbog svoje visoke brzine ispisa te zatvorene komore koja osigurava bolju temperaturnu kontrolu cijelog procesa
+        izrade. Opremljen je \textit{AMS (Automatic Material Station)} sustavom za automatsku izmjenu do četiri filamenta, čime je omogućen (u ovom slučaju)
+        kontinuirani rad pri izmjeni role filamenta.
+    \item \textbf{Slicer program} \\
+        \textbf{Bambu Studio}, službeni program otvorenog koda (open source) tvrtke Bambu Lab, temeljen na PrusaSliceru. Korišten je za definiranje parametara ispisa,
+        orijentacije i generiranje G-koda za svaki pojedini uzorak.
+    \item \textbf{Materijal}\\
+        Odabran je sivi PLA (Polylactide) filament tvrtke AzureFilm promjera 1{,}75\,mm zbog pristupačne cijene i jednostavnosti izrade. Svojstva materijala
+        (definirana od strane proizvođača) prikazana su u tablici \ref{tab:azurefilm_svojstva}, svojstva su dobivena na uzorku s parametrima definiranim u
+        tablici \ref{tab:test_specimens_print_settings}. Preporučeni parametri ispisa definirani od strane proizvođača dani su u tablici \ref{tab:printing_reccomendation}. 
+    \item \textbf{Sušač materijala}\\
+        Kako bi se dobila konzistentnost izrade među uzorcima, uzevši u obzir da je datum proizvodnje različitih rola filamenta nepoznat a samim time i njegova
+        vlažnost, svaka rola filamenta sušena je u sušilici \textit{SUNLU S2 Filament Dryer} na 50°C kroz 8 sati, prema preporuci proizvođača sušilice.
+    \item \textbf{Ispitna oprema}\\
+        Za mehaničko ispitivanje korištena je \textit{MESSPHYSIK BETA 250} univerzalna kidalica s odgovarajućim prihvatima za vlačna i smična ispitivanja.
+\end{itemize}
+
+
+\begin{table}[H]
+\centering
+\caption{Mechanical properties of 3D printed PLA specimens}
+\label{tab:azurefilm_svojstva}
+\begin{tabular}{|l|c|c|}
+\hline
+\textbf{Svojstva 3D printanog uzorka} & \textbf{Test condition} & \textbf{PLA} \\ 
+\hline
+Tensile modulus [GPa]                     & 1 mm/min                & 3.3  \\ 
+\hline
+Tensile strength [MPa]                    & 50 mm/min               & 59.0 \\ 
+\hline
+Strain at break (Tensile) [\%]            & 50 mm/min               & 4.2  \\ 
+\hline
+Strain at tensile strength [\%]           & 50 mm/min               & 3.8  \\ \hline
+Flexural modulus [GPa]                    & 2 mm/min                & 2.8  \\ \hline
+Flexural strength [MPa]                   & 2 mm/min                & 73.6 \\ \hline
+Flexural strain at flexural strength [\%] & 2 mm/min                & 3.3  \\ \hline
+Strain at break (Flexural) [\%]           & 2 mm/min                & 3.3  \\ \hline
+Charpy unnotched [kJ/m$^2$]               & 23 °C                   & 10.4 \\ \hline
+\end{tabular}
+\end{table}
+
+\begin{table}[h!]
+\centering
+\caption{Parametri za izradu uzorka}
+\label{tab:test_specimens_print_settings}
+\begin{tabular}{|l|l|l|}
+\hline
+\textbf{3D printer:} Creality Ender 3 & \textbf{Infill:} 20 \%          & \textbf{Nozzle temperature:} 200~°C \\ \hline
+\textbf{Slicer:} Cura                 & \textbf{Shells:} 2              & \textbf{Bed temperature:} 55~°C     \\ \hline
+\textbf{Nozzle:} 0.4 mm               & \textbf{Layer height:} 0.2 mm   & \textbf{Print speed:} 50 mm/s       \\ \hline
+\end{tabular}
+\end{table}
+
+\begin{table}[h!]
+\centering
+\caption{Preporučene postavke}
+\label{tab:printing_reccomendation}
+\begin{tabular}{|l|l|}
+\hline
+\textbf{Nozzle temperature:} & 200--230~°C \\ \hline
+\textbf{Heated bed:} & Not required (recommended 50--60~°C) \\ \hline
+\textbf{Print speed:} & 50--100 mm/s \\ \hline
+\textbf{Build platform:} & Blue tape, Kapton tape, Glass bed \\ \hline
+\end{tabular}
+\end{table}
+
+\subsection{Postav za ispitivanje smične čvrstoće}\label{subsec:postav_za_ispitivanje_smicne_cvrstoce}
+%---- → UBACITI DIO SA JIGOM ZA SMIK
+Pošto je jedini dostupni stroj za ispitivanje čvrstoće univerzalna kidalica, ispitivanje smične čvrstoće biti će izvedeno uzorkom s V-utorom na linearnim vodilicama.
+Potrebno je iz tog razloga napraviti napravu za univerzalnu kidalicu koji će omogućiti da se razvlačenjem naprave ostvari smik u kritičnom presjeku ispitnog uzorka.
+Po uzoru na \cite{Stamopoulos2020} napravljena je naprava prikazana na slici \ref{fig:naprava_smik} koja pomoću dvije čeljusti steže ispitni uzorak opisan
+u poglavlju \ref{subsubsec:konstrukcija_epruveta} te ju pomoću dvaju linearnih vodilica razvlači na način da u kritičnom presjeku (V-utoru) ostvaruje (gotovo) čisto
+smično naprezanje.\\
+
+\begin{figure}[H]
+    \centering
+    \includegraphics[width=0.7\textwidth]{media/imgs/planiranje_eksperimenta/naprava_smik.jpg}
+    \caption{Prikaz naprave za smično opterečenje epruvete}
+    \label{fig:naprava_smik}
+\end{figure}
+
+\begin{flushleft}
+Pošto obrada odvajanjem čestica nije dostupna na korištenje u ovom radu, naprava će biti izrađena metodom FDM 3D printanja. Iz istog je razloga potrebno voditi
+računa o čvrstoći iste kako ne bi došlo do deformacije naprave u razini u kojoj bi dovela točnost mjerenja pomaka u ispitnom uzorka u pitanje.\\
+
+\end{flushleft}
+
+\pagebreak
+\section{Provedba eksperimenta}\label{sec:provedba_eksperimenta}
+
+\pagebreak
+\section{Analiza podataka}\label{sec:analiza_podataka}
+
+\subsection{Računalna analiza poprečnog presjeka}\label{subsec:racunalna_analiza_poprecnog_presjeka}
+
+Za proračun naprezanja potrebno je odrediti stvarne površine poprečnih presjeka ispitnih uzoraka, koje su ovisne o geometriji ispune (vrsti ispune), širini ekstruzije
+(širini traga), postotku ispune, broju stijenki i orijentaciji slojeva. U tu svrhu napisan je Python alat koji simulira unutarnju strukturu 3D printanog uzorka u 2D
+rasteru. Na temelju navedenih parametara, program generira booleovu masku koja prikazuje raspored materijala u poprečnom presjeku.\\
+\begin{flushleft}
+Alat nakon generiranja booleove maske izračunava:
+\begin{itemize}
+    \item ukupnu površinu presjeka u XY ravnini (pošto je XY ravnina normalna na Z-os ispisa, ova je površina konstantna u 2D ispunama)
+    \item površine presjeka u ravninama paralelnim s XZ i YZ ravninama (što je relevantno za različite orijentacije ispisa)
+\end{itemize}
+
+Primjer vizualizacije presjeka za obije orijentacije potrebne za vlačno testiranje nalazi se na slikama \ref{fig:vlak_2d_stojeci}, \ref{fig:vlak_2d_lezeci}.\\
+
+\end{flushleft}
+
+\begin{figure}[H]
+    \centering
+    \includegraphics[width=0.5\textwidth]{media/imgs/analiza_podataka/vlak_2d_stojeci.jpg}
+    \caption{2D prikaz ispune ispitnog uzorka u orijentaciji uspravnog ispisa.}
+    \label{fig:vlak_2d_stojeci}
+\end{figure}
+
+\begin{figure}[H]
+    \centering
+    \includegraphics[width=0.5\textwidth]{media/imgs/analiza_podataka/vlak_2d_lezeci.jpg}
+    \caption{2D prikaz ispune ispitnog uzorka u orijentaciji ležećeg ispisa.}
+    \label{fig:vlak_2d_lezeci}
+\end{figure}
+
+\begin{flushleft}
+
+Iako 2D ispune ne mijenjaju površinu poprečnog presjeka kroz Z-os, u ostale dvije dimenzije ona se svakako mijenja, kako bi se odredilo koliko se točno mijenja,
+napravljen je graf promjene površine u odnosu na duljinu modela, te automatski proračun površine paralelne sa XZ i YZ ravninama za zadanu x i y dimenziju.
+Na slikama \ref{fig:promjena_povrsine_10x10}, \ref{fig:promjena_povrsine_10x70} prikazane su promjene površina u odnosu na njihove referentne ravnine.\\
+
+\end{flushleft}
+
+\begin{figure}[H]
+    \centering
+    \includegraphics[width=0.6\textwidth]{media/imgs/analiza_podataka/promjena_povrsine_10x10.jpg}
+    \caption{Promjena površine po X i Y osi za bazu 10x10mm.}
+    \label{fig:promjena_povrsine_10x10}
+\end{figure}
+
+\begin{figure}[H]
+    \centering
+    \includegraphics[width=0.6\textwidth]{media/imgs/analiza_podataka/promjena_povrsine_10x70.jpg}
+    \caption{Promjena površine po X i Y osi za bazu 10x70mm.}
+    \label{fig:promjena_povrsine_10x70}
+\end{figure}
+
+Za slučaj potrebe izračuna površine poprečnog presjeka u točnoj koordinati, moguć je upis zasebne visine na x i y osi, te je nakon izvršavanja programa ispisana i
+površina u odnosu na te referentne osi u sljedećem formatu:\\
+
+
+\begin{verbatim}
+==== Grid ispuna 30.0% ====
+XY ukupna povrsina     = 301.7364 mm^2
+  Povrsina ljuski      = 132.4033 mm^2
+  Povrsina ispune      = 169.3331 mm^2
+-- Presjeci kroz Z (uzorak konstantan po Z) --
+Duzina po X @ y=1.000 mm: 4.0801 mm
+Duzina po Y @ x=-2.000 mm: 19.0989 mm
+Povrsina XZ @ y=1.000: 40.8010 mm^2  (Z=10.000 mm)
+Povrsina YZ @ x=-2.000: 190.9887 mm^2  (Z=10.000 mm)
+
+A_xz(y=1mm) = 40.80100125156456 mm^2
+A_yz(x=-2mm) = 190.9887359198926 mm^2
+\end{verbatim}
+
+
+Uzevši u obzir da je Bambu Lab Slicer program otvorenog koda, matematički model i način generiranja mrežaste (Grid) ispune preuzet je iz istog, te prepisan iz
+programskog jezika C++ u programski jezik Python, te dorađen za 2D prikaz. \\
+Izračun površina i geometrijskih momenata presjeka proveden je pomoću vlastitog Python programa izvršavanog u JupyterLab okruženju (vidi Prilog A).

 %---------------------------------------------------------------------
 %----------------------LITERATURA-------------------------------------
@@ -1010,4 +1214,227 @@ Geometrija epruveta i njihovih prihvata prikazana je na skicama \ref{fig:epruvet
 \newpage
 \printbibliography[title={Literatura}]

+
+\pagebreak
+
+\appendix
+\section*{Prilog A – Python skripta za analizu poprečnih presjeka}
+\addcontentsline{toc}{section}{Prilog A – Python skripta za analizu poprečnih presjeka}
+
+Sljedeći kod izvršavan je unutar okruženja \textbf{JupyterLab}, a koristi biblioteku \texttt{NumPy} i \texttt{Matplotlib}. Skripta služi za generiranje simuliranog rasporeda ispune FDM ispisa i izračun površina presjeka i geometrijskih momenata inercije.
+
+\begin{lstlisting}[style=python, caption={Python skripta za analizu poprečnih presjeka.}]
+import numpy as np
+import matplotlib.pyplot as plt
+
+def _udaljenost_mod(u, razmak):
+    r = np.mod(u, razmak)
+    return np.minimum(r, razmak - r)
+
+def _pravocrtna_maska(XX, YY, razmak, sirina_linije, kut_stupnjevi=0.0, faza=0.0):
+
+    th = np.deg2rad(kut_stupnjevi)
+    u =  XX * np.cos(th) + YY * np.sin(th)
+    dist = _udaljenost_mod(u + faza, razmak)
+    return dist <= (sirina_linije / 2.0)
+
+def _razmak_za_gustocu_mreze(sirina_linije, f):
+
+    f = float(np.clip(f, 0.0, 1.0))
+    if f <= 0.0:
+        return np.inf
+    if f >= 1.0:
+        return sirina_linije
+    r = 1.0 - np.sqrt(1.0 - f)
+    return sirina_linije / r
+
+def izracun_povrsine(XX, YY, maska):
+    if not np.any(maska):
+        return {"A": 0.0}
+
+    dx = XX[0, 1] - XX[0, 0]
+    dy = YY[1, 0] - YY[0, 0]
+    dA = dx * dy
+    A = float(np.count_nonzero(maska) * dA)
+    return {"A": A}
+
+def prusa_mreza_ili_pravocrtna(
+    sirina, visina,
+    udio_ispune,
+    sirina_linije=0.42,
+    slojevi_ljuske=2,
+    osnovni_kut_ispune_stupnjevi=45.0,
+    mreza=True,
+    z_visina=0.0,        
+    faza_po_mm=0.0,
+    z_visina_objekta=None,  
+    y_ravnina=0.0,          
+    x_ravnina=0.0,          
+    N=800,
+    graficki_prikaz=True,
+    detaljno=True
+):
+    xs = np.linspace(-sirina/2,  sirina/2,  N)
+    ys = np.linspace(-visina/2, visina/2, N)
+    XX, YY = np.meshgrid(xs, ys)
+
+    shell_mask = np.zeros_like(XX, dtype=bool)
+    for i in range(slojevi_ljuske):
+        off = (i + 0.5) * sirina_linije
+        shell_mask |= np.abs(XX - (-sirina/2  + off)) <= (sirina_linije / 2)
+        shell_mask |= np.abs(XX - ( +sirina/2  - off)) <= (sirina_linije / 2)
+        shell_mask |= np.abs(YY - (-visina/2 + off)) <= (sirina_linije / 2)
+        shell_mask |= np.abs(YY - ( +visina/2 - off)) <= (sirina_linije / 2)
+
+    unutarnji_pomak = slojevi_ljuske * sirina_linije
+    unutarnji_pravokutnik = (
+        (np.abs(XX) <= (sirina/2  - unutarnji_pomak)) &
+        (np.abs(YY) <= (visina/2 - unutarnji_pomak))
+    )
+
+    if udio_ispune <= 0.0:
+        infill_mask = np.zeros_like(XX, dtype=bool)
+    elif udio_ispune >= 1.0:
+        razmak = sirina_linije
+        maske = []
+        kutevi = [osnovni_kut_ispune_stupnjevi] + ([osnovni_kut_ispune_stupnjevi + 90] if mreza else [])
+        faza = faza_po_mm * z_visina
+        for a in kutevi:
+            maske.append(_pravocrtna_maska(XX, YY, razmak, sirina_linije, kut_stupnjevi=a, faza=faza))
+        infill_mask = np.logical_or.reduce(maske) & unutarnji_pravokutnik
+    else:
+        razmak = _razmak_za_gustocu_mreze(sirina_linije, udio_ispune) if mreza \
+                 else sirina_linije / udio_ispune
+        maske = []
+        kutevi = [osnovni_kut_ispune_stupnjevi] + ([osnovni_kut_ispune_stupnjevi + 90] if mreza else [])
+        faza = faza_po_mm * z_visina
+        for a in kutevi:
+            maske.append(_pravocrtna_maska(XX, YY, razmak, sirina_linije, kut_stupnjevi=a, faza=faza))
+        infill_mask = np.logical_or.reduce(maske) & unutarnji_pravokutnik
+
+    konacna_maska = shell_mask | infill_mask
+
+    if graficki_prikaz:
+        plt.figure(figsize=(6, 6))
+        img = np.where(konacna_maska, 1.0, np.nan)
+        plt.imshow(img, origin='lower',
+                   extent=[-sirina/2, sirina/2, -visina/2, visina/2],
+                   interpolation='nearest')
+        naslov = "Grid" if mreza else "Pravocrtna"
+        plt.title(f"{naslov} @ {udio_ispune*100:.1f}%  | ljuske={slojevi_ljuske}*{sirina_linije:.2f} kut={osnovni_kut_ispune_stupnjevi:.0f}deg")
+        plt.xlabel("X (mm)")
+        plt.ylabel("Y (mm)")
+        plt.gca().set_aspect('equal', 'box')
+        plt.grid(True)
+        plt.hlines(y_ravnina, -sirina/2, sirina/2, linestyles='--')
+        plt.vlines(x_ravnina, -visina/2, visina/2, linestyles='--')
+        plt.show()
+
+    total = izracun_povrsine(XX, YY, konacna_maska)
+    ljuske = izracun_povrsine(XX, YY, shell_mask)
+    A_ispuna = total["A"] - ljuske["A"]
+
+    dx = XX[0, 1] - XX[0, 0]
+    dy = YY[1, 0] - YY[0, 0]
+    ys_centered = YY[:, 0]
+    xs_centered = XX[0, :]
+    row = int(np.argmin(np.abs(ys_centered - y_ravnina)))
+    col = int(np.argmin(np.abs(xs_centered - x_ravnina)))
+
+    duzina_x_na_y = float(np.count_nonzero(konacna_maska[row, :]) * dx)
+    duzina_y_na_x = float(np.count_nonzero(konacna_maska[:, col]) * dy)
+
+    povrsina_xz_na_y = None
+    povrsina_yz_na_x = None
+    if z_visina_objekta is not None and z_visina_objekta > 0:
+        povrsina_xz_na_y = duzina_x_na_y * z_visina_objekta
+        povrsina_yz_na_x = duzina_y_na_x * z_visina_objekta
+
+    duzina_x_vs_y = np.count_nonzero(konacna_maska, axis=1) * dx
+    duzina_y_vs_x = np.count_nonzero(konacna_maska, axis=0) * dy
+
+    if z_visina_objekta is not None and z_visina_objekta > 0:
+        povrsina_xz_vs_y = duzina_x_vs_y * z_visina_objekta
+        povrsina_yz_vs_x = duzina_y_vs_x * z_visina_objekta
+        y_oznaka = "Povrsina XZ presjeka (mm^2)"
+        x_oznaka = "Povrsina YZ presjeka (mm^2)"
+    else:
+        povrsina_xz_vs_y = duzina_x_vs_y
+        povrsina_yz_vs_x = duzina_y_vs_x
+        y_oznaka = "Duzina po X (mm)  [postavi z_visina_objekta za povrsinu]"
+        x_oznaka = "Duzina po Y (mm)  [postavi z_visina_objekta za povrsinu]"
+
+    y_os_0_do_H = ys_centered + visina/2.0
+    x_os_0_do_W = xs_centered + sirina/2.0
+
+    if graficki_prikaz:
+        plt.figure(figsize=(7, 3.5))
+        plt.plot(y_os_0_do_H, povrsina_xz_vs_y)
+        plt.xlabel("y od donjeg zida (mm)")
+        plt.ylabel(y_oznaka)
+        plt.title("Varijacija prema y")
+        plt.grid(True)
+        plt.xlim(0, visina)
+        plt.tight_layout()
+        plt.show()
+
+        plt.figure(figsize=(7, 3.5))
+        plt.plot(x_os_0_do_W, povrsina_yz_vs_x)
+        plt.xlabel("x od lijevog zida (mm)")
+        plt.ylabel(x_oznaka)
+        plt.title("Varijacija prema x")
+        plt.grid(True)
+        plt.xlim(0, sirina)
+        plt.tight_layout()
+        plt.show()
+    if detaljno:
+        print(f"==== {('Grid' if mreza else 'Pravocrtna')} ispuna {udio_ispune*100:.1f}% ====")
+        print(f"XY ukupna povrsina     = {total['A']:.4f} mm^2")
+        print(f"  Povrsina ljuski      = {ljuske['A']:.4f} mm^2")
+        print(f"  Povrsina ispune      = {A_ispuna:.4f} mm^2")
+        print(f"-- Presjeci kroz Z (uzorak konstantan po Z) --")
+        print(f"Duzina po X @ y={y_ravnina:.3f} mm: {duzina_x_na_y:.4f} mm")
+        print(f"Duzina po Y @ x={x_ravnina:.3f} mm: {duzina_y_na_x:.4f} mm")
+        if povrsina_xz_na_y is not None:
+            print(f"Povrsina XZ @ y={y_ravnina:.3f}: {povrsina_xz_na_y:.4f} mm^2  (Z={z_visina_objekta:.3f} mm)")
+        if povrsina_yz_na_x is not None:
+            print(f"Povrsina YZ @ x={x_ravnina:.3f}: {povrsina_yz_na_x:.4f} mm^2  (Z={z_visina_objekta:.3f} mm)")
+        print()
+    return {
+        "maska": konacna_maska,
+        "XX": XX, "YY": YY,
+        "dx": dx, "dy": dy,
+        "povrsina_ukupno_xy": total["A"],
+        "povrsina_ljuske_xy": ljuske["A"],
+        "povrsina_ispune_xy": A_ispuna,
+        "duzina_x_na_y": duzina_x_na_y,
+        "duzina_y_na_x": duzina_y_na_x,
+        "povrsina_xz_na_y": povrsina_xz_na_y,
+        "povrsina_yz_na_x": povrsina_yz_na_x,
+        "y_os_mm": y_os_0_do_H,
+        "x_os_mm": x_os_0_do_W,
+        "povrsina_xz_vs_y": povrsina_xz_vs_y,
+        "povrsina_yz_vs_x": povrsina_yz_vs_x,
+    }
+# Konfiguracija
+if __name__ == "__main__":
+    W, H = 10.0, 70.0
+    Z = 10.0 
+    res = prusa_mreza_ili_pravocrtna(
+        sirina=W, visina=H,
+        udio_ispune=0.2,
+        sirina_linije=0.42,
+        slojevi_ljuske=2,
+        osnovni_kut_ispune_stupnjevi=45.0,
+        mreza=True,
+        z_visina_objekta=Z,  
+        y_ravnina=+1.0,     
+        x_ravnina=-2.0,      
+        N=800,
+        graficki_prikaz=True, detaljno=True
+    )
+    print("A_xz(y=1mm) =", res["povrsina_xz_na_y"], "mm^2")
+    print("A_yz(x=-2mm) =", res["povrsina_yz_na_x"], "mm^2")
+\end{lstlisting}
+
 \end{document}
--- a/radno/literatura.bib
+++ b/radno/literatura.bib
@@ -221,4 +221,15 @@
  doi       = {10.5937/fme2502326C},
  note      = {ISSN 1451-2092}
 }
+@article{Stamopoulos2020,
+  author    = {Antonios G. Stamopoulos and Luca Glauco Di Genova and Antoniomaria Di Ilio},
+  title     = {Assessment of the shear properties of thermoplastic composites using the ±45° tension and the V-notched rail shear methods},
+  journal   = {Manufacturing Rev.},
+  volume    = {7},
+  pages     = {10},
+  year      = {2020},
+  publisher = {EDP Sciences},
+  doi       = {10.1051/mfreview/2020007},
+  url       = {https://doi.org/10.1051/mfreview/2020007}
+}

--- a/radno/media/imgs/analiza_podataka/promjena_povrsine_10x10.jpg
+++ b/radno/media/imgs/analiza_podataka/promjena_povrsine_10x10.jpg
--- a/radno/media/imgs/analiza_podataka/promjena_povrsine_10x70.jpg
+++ b/radno/media/imgs/analiza_podataka/promjena_povrsine_10x70.jpg
--- a/radno/media/imgs/analiza_podataka/vlak_2d_lezeci.jpg
+++ b/radno/media/imgs/analiza_podataka/vlak_2d_lezeci.jpg
--- a/radno/media/imgs/analiza_podataka/vlak_2d_stojeci.jpg
+++ b/radno/media/imgs/analiza_podataka/vlak_2d_stojeci.jpg
--- a/radno/media/imgs/planiranje_eksperimenta/epruveta_smik_skica.jpg
+++ b/radno/media/imgs/planiranje_eksperimenta/epruveta_smik_skica.jpg
--- a/radno/media/imgs/planiranje_eksperimenta/naprava_smik.jpg
+++ b/radno/media/imgs/planiranje_eksperimenta/naprava_smik.jpg
--- a/software/.ipynb_checkpoints/GRID_FINAL-checkpoint.ipynb
+++ b/software/.ipynb_checkpoints/GRID_FINAL-checkpoint.ipynb
--- a/software/.ipynb_checkpoints/GRID_OSI-checkpoint.ipynb
+++ b/software/.ipynb_checkpoints/GRID_OSI-checkpoint.ipynb
--- a/software/GRID_FINAL.ipynb
+++ b/software/GRID_FINAL.ipynb
--- a/software/GRID_OSI.ipynb
+++ b/software/GRID_OSI.ipynb
--- a/software/GYROID.ipynb
+++ b/software/GYROID.ipynb
@@ -2,7 +2,7 @@
 "cells": [
  {
   "cell_type": "code",
-   "execution_count": 34,
+   "execution_count": 2,
   "id": "d5e79bb2-9fc5-4a71-82e2-14ce475e7a5d",
   "metadata": {},
   "outputs": [
@@ -358,7 +358,7 @@
  },
  {
   "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 3,
   "id": "8e7aaee9-297a-4965-aa76-aaddb440b105",
   "metadata": {},
   "outputs": [
--- a/software/Untitled.ipynb
+++ b/software/Untitled.ipynb
--- a/software/infill_simulator.ipynb
+++ b/software/infill_simulator.ipynb
@@ -2,7 +2,7 @@
 "cells": [
  {
   "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 1,
   "id": "cbaa6f21-27f8-41d9-8030-78f8b3a587b8",
   "metadata": {},
   "outputs": [
@@ -142,7 +142,11 @@
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def compute_area_moments(XX, YY, mask):\n",
-    "    dx = XX[0, 1] - XX[0, 0]\n",
+    "    dx = XX[0, 1] -.\n",
+    "Suženi struk epruvete daje nam manju površinu poprečnog presjeka kako bi mogli garantirati\n",
+    "da će zona loma stati u suženi dio. Kako ne možemo pouzdano izraditi struk, a opet želimo\n",
+    "dobiti manju površinu poprečnog presjeka u sredini epruvete (zoni loma), možemo napraviti\n",
+    "kompromis sa varijacijom postotka ispune kroz dužinu epruv XX[0, 0]\n",
    "    dy = YY[1, 0] - YY[0, 0]\n",
    "    dA = dx * dy\n",
    "\n",
Author	SHA1	Message	Date
Niko Vujic	35d7dec29a	započeta konstrukcija naprave za smik	2025-08-23 14:32:25 +02:00
Niko Vujic	acd12da62f	potrebno napraviti poglavlje o jigu za smik	2025-08-21 16:41:57 +02:00