From df81a15142f3ccd7639a1a29ccc70c38799e530b Mon Sep 17 00:00:00 2001
From: Christophe Geuzaine <cgeuzaine@uliege.be>
Date: Thu, 11 Mar 2021 19:33:57 +0100
Subject: [PATCH] typo
---
Elasticity/wrench2D.pro | 42 ++++++++++++++++++++---------------------
1 file changed, 21 insertions(+), 21 deletions(-)
diff --git a/Elasticity/wrench2D.pro b/Elasticity/wrench2D.pro
index cd70662..c09f02b 100644
--- a/Elasticity/wrench2D.pro
+++ b/Elasticity/wrench2D.pro
@@ -14,24 +14,24 @@
Run (button at the bottom of the left panel)
------------------------------------------------------------------- */
-/*
+/*
Particularities of linear elasticity in GetDP:
- Instead of a vector field "u = Vector[ ux, uy, uz ]", the displacement field
- is regarded as two (2D case) or three (3D case) scalar fields.
- Unlike conventional formulations, GetDP formulation is then written in terms
- of the gradient "grad u" of the displacement field, which is a non-symmetric
- tensor, and the needed symmetrization (to define the strain tensor and relate
- it to the stress tensor) is done via the constitutive relationship (Hooke law).
- This unusual formulation allows to take advantage of the powerful geometrical
+ Instead of a vector field "u = Vector[ ux, uy, uz ]", the displacement field
+ is regarded as two (2D case) or three (3D case) scalar fields.
+ Unlike conventional formulations, GetDP formulation is then written in terms
+ of the gradient "grad u" of the displacement field, which is a non-symmetric
+ tensor, and the needed symmetrization (to define the strain tensor and relate
+ it to the stress tensor) is done via the constitutive relationship (Hooke law).
+ This unusual formulation allows to take advantage of the powerful geometrical
and homological GetDP kernel, which relies on the operators grad, curl and div.
-
+
The "grad u" formulation entails a small increase of assembly work but makes
in counterpart lots of geometrical features implemented in GetDP (change of
coordinates, function spaces, etc...) applicable to elastic problems
out-of-the-box, since the scalar fields { ux, uy, uz } have exactly the same
geometrical properties as, e.g. an electric scalar potential or a temperature
- field.
+ field.
*/
Include "wrench2D_common.pro";
@@ -65,18 +65,18 @@ Group {
}
Function {
- /*
+ /*
Material coefficients
No need of regionwise definition ( E[{Wrench}] = ... ; )
- as this model comprises only one region.
- If there is more than one region and coefficients are not particularised,
- the same value holds for all of them.
+ as this model comprises only one region.
+ If there is more than one region and coefficients are not particularised,
+ the same value holds for all of them.
*/
E[] = Young;
nu[] = Poisson;
- /*
+ /*
Volume force components applied to the region "Vol_Force_Mec"
- Gravity could be defined here as well ( force_y[] = 7000*9.81; ) ;
+ Gravity could be defined here as well ( force_y[] = 7000*9.81; ) ;
*/
force_x[] = 0;
force_y[] = 0;
@@ -103,7 +103,7 @@ Function {
EPD: a[] = lambda + 2 mu b[] = mu c[] = lambda
3D: a[] = lambda + 2 mu b[] = mu c[] = lambda
- respectively for the 2D plane strain (EPD), 2D plane stress (EPS) and 3D cases.
+ respectively for the 2D plane strain (EPD), 2D plane stress (EPC) and 3D cases.
*/
Function {
@@ -155,14 +155,14 @@ Constraint {
are less naturally accounted for within the "grad u" formulation; but they
could be easily implemented with e.g. a Lagrange multiplier.
- The finite element shape (e.g. triangles or quadrangles in 2D) has no influence
+ The finite element shape (e.g. triangles or quadrangles in 2D) has no influence
in the definition of the FunctionSpaces. The appropriate shape functions
are determined by GetDP at a much lower level on basis of the information
contained in the *.msh file.
- Second order elements are hierarchically implemented by adding to the first
- order node-based shape functions a set of second order edge-based functions
- to complete a basis for 2D order polynomials on the reference element.
+ Second order elements are hierarchically implemented by adding to the first
+ order node-based shape functions a set of second order edge-based functions
+ to complete a basis for 2D order polynomials on the reference element.
*/
// Domain of definition of the "ux" and "uy" FunctionSpaces
--
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