toc

.gitignore

@@ -18,3 +18,6 @@ distorted*.png
 pipe-linearized.html
 pipe-linearized.tex
 pipe-linearized.pdf
+nafems4.html
+nafems4.tex
+nafems4.pdf

make.sh

@@ -114,7 +114,7 @@ for format in ${formats}; do
 
   echo "md -> ${format}"
   
-  flags="--number-sections --toc --syntax-definition=wasora.xml --syntax-definition=fino.xml"
+  flags=""
   if [[ "${format}" == "pdf" ]] || [[ "${format}" == "tex" ]]; then
     template_file="${template}.tex"
     flags="${flags} --listings --pdf-engine=xelatex"

meta.yaml

@@ -1,10 +1,11 @@
 ---
-title: Case Study Number 4: Fatigue Analysis in Nuclear Piping
+title: Fatigue Analysis in Nuclear Piping
 subtitle: A journey from college theory to an actual engineering problem
 author: Jeremy Theler
 authoremail: jeremy@seamplex.com
 fontsize: 11pt
 lang: en-US
+number-sections: true
 bibliography: references.bib
 biblatexoptions: sorting=none
 link-citations: true

nafems4.md

@@ -1,10 +1,125 @@
-We will dig into some math. If you do not like equations, just ignore them for now. Read the text skipping them. It is fine (for now).
 
-We will need your imagination. Equations, numbers, plot, schematics, 3d views, interactive rotable 3d models... but still, when the theory says "thermal expansion produces linear stresses" you have to picture in your head three little arrows pulling away from the same point in three directions.
+
+
 
 If you do not know what a Gauss point is, pause here, grab a classical FEM book and resume when you do.
 
 FEM is like magic to me. I can follow the whole derivation, from the strong, the weak and varitionals formulations down to the algebraic multigrid preconditioner for the inversion of the stiffness matrix passing through Sobolev spaces and the grid generatoin. Then I can sit down and code all these steps, including shape funcions, matrix assembly and computation of derivatives^{This is a task that if you can, you definitely have to do. Your time and effort will be highly rewarded in the not-so-far-away future.}. Yet, the fact that all these a-priori unconnected steps once gets a pretty picture that resembles reality is astonishing.
 
 
-tomen este cpitulo como una charla - imginacion! ecuaciones numeros plot 3d drawing intrctive 3d model, but still you have to imagine dericatives nd stress tensors... "thermal expansion gives normal stresses" and then picture out three arrows pulling away
+tomen este cpitulo como una charla de café - imginacion! ecuaciones numeros plot 3d drawing intrctive 3d model, but still you have to imagine dericatives nd stress tensors... "thermal expansion gives normal stresses" and then picture out three arrows pulling away
+
+
+
+
+# Background and introduction
+
+Take this as a chat between you an me, i.e. an average engineer that have already taken the path from college to actual engineering.
+
+Imagination! Try to picture how the results converge, and what they actually mean besides the pretty-colored figures.
+We will need your imagination. Equations, numbers, plot, schematics, 3d views, interactive rotable 3d models... but still, when the theory says "thermal expansion produces linear stresses" you have to picture in your head three little arrows pulling away from the same point in three directions.
+
+
+We will dig into some math. If you do not like equations, just ignore them for now. Read the text skipping them. It is fine (for now).
+
+ Practice math! prsctise math! hace diferencia de cuadrados una vez por mes como si hicieras crucigramas, buscá los libros de analisis y de fisica y hacé los ejercicios
+
+
+# Solid mechanics, or what we are taught at college
+
+An infinite pipe subject to uniform internal pressure
+
+ecuación diferencial 1D -> appendix
+
+# Finite elements, or solving an actual engineering problem
+
+## The name of the game
+
+FEM, FVM and FDM
+
+Simulation
+
+## Why do you want to do FEA?
+
+five whys
+
+## Computers, those little magic boxes
+
+https://www.springfieldspringfield.co.uk/view_episode_scripts.php?tv-show=the-simpsons&episode=s05e03
+
+ENIAC
+
+### A brief review of history
+
+FEM, Computers
+
+graphics cards
+
+### Hardware
+
+### Software
+
+FOSS
+
+Avoid black boxes
+
+Reflections on trusting trust
+
+UNIX, scriptability, make programs to make programs (here a program is a calculation)
+
+front and back
+
+avoid monolithic
+
+# Nuclear-grade piping and ASME
+
+## The infinite pipe revisited
+
+3D full
+
+Quarter
+
+2 grados
+
+2D axysimmetric
+
+1D collocation
+
+
+struct vs unstruct
+
+1st vs 2nd
+
+complete vs incomplete (hexa)
+
+## Linearity of displacements and stresses
+
+cantilever beam, principal stresses, linearity of von mises
+
+### ASME stress linearization
+
+
+
+### The relativity of wrong
+
+citar a asimov y al report de convergencia
+
+errors and uncertainties: model parameters (is E what we think? is the material linear?), geometry (does the CAD represent the reality?) equations (any effect we did not have take account), discretization (how well does the mesh describe the geometry?)
+
+## Two (or more) materials
+
+### Young and Poisson
+
+two cubes
+
+## A parametric tee
+
+## Temperature
+
+# Fatigue
+
+## In air
+
+## In water
+
+# Conclusions