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Linear form

Submitted by Zhigang Suo on

These notes are part of my notes on linear algebra.  I believe that textbooks of linear algebra give a bad definition of linear form.  The last section of the notes explain why it is bad.  I also give examples of linear form everyday life and from physics.  Given the vector space of distance, both force and electric field are dual spaces of the space of distance.  They are distict dual spaces of the space of distance, and they are not dual spaces to each other.

Finite Eigenstrains in Nonlinear Elastic Wedges

Submitted by arash_yavari on

Eigenstrains are created as a result of anelastic effects such as defects, temperature changes, bulk growth, etc., and strongly affect the overall response of solids. In this paper, we study the residual stress and deformation fields of an incompressible, isotropic, infinite wedge due to a circumferentially-symmetric distribution of finite eigenstrains. In particular, we establish explicit exact solutions for the residual stresses and deformation of a neo-Hookean wedge containing a symmetric inclusion with finite radial and circumferential eigenstrains.

assembly

Submitted by mina rakhshi on

Hi friends;

I want to assemble three volumes with different properties in apdl ansys, but ansys ignore CMGRP command when I use it, what's problem my code? How can I assemble three volumes? please help me.

my code is:

/PREP7

~PARAIN,'Geom','x_t','.\DESKTOP\',SOLIDS,0,0

ET,1,solid186

MPTEMP,,,,,,,,

MPTEMP,1,0

MPDATA,EX,1,,3.013

MPDAtA,PRXY,1,,0.3

MPTEMP,,,,,,,,

MPTEMP,1,0

MPDAtA,DENS,1,,1.092

MPTEMP,,,,,,,,

MPTEMP,1,0

MPDATA,EX,2,,1.65

MPDAtA,PRXY,2,,0.3

MPTEMP,,,,,,,,

Remarks on UMAT for plane stress problem

Submitted by Pu Zhang on

There are a lot of sample UMAT subroutines for plane strain or 3D problems. However, it is difficult to find an example for the plane stress problem online. Even the UMAT manual does not provide enough information. I have tried the UMAT subroutine for the plane stress problem for a while. The following remarks may be useful for collegues who have interest.

1. The stress components σ11, σ22, σ12 should be returned to UMAT.  The other three stress components equal to zero, known as the basic assumption of the plane stress problem.