A COMPARISON OF SOLUTIONS FOR ADIABATIC SHEAR BANDING BY FORWARD-DIFFERENCE AND CRANK-NICOLSON METHODS

被引:6
作者
BATRA, RC [1 ]
WRIGHT, TW [1 ]
机构
[1] USA,BALLIST RES LABS,ABERDEEN PROVING GROUND,MD 21005
来源
COMMUNICATIONS IN APPLIED NUMERICAL METHODS | 1988年 / 4卷 / 06期
关键词
Mathematical Techniques--Numerical Methods - Stresses--Shear - Viscoplasticity;
D O I
10.1002/cnm.1630040607
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A set of non-linear and coupled equations governing the thermomechanical deformations of a viscoplastic body undergoing simple shearing deformations is integrated in time by using the forward-difference Galerkin finite-element (FDGFE) method and the Crack-Nicolson-Galerkin finite-element (CNGFE) method. In the latter scheme the number of unknown functions is increased so that the governing equations contain only first-order spatial derivatives. It is shown that the solutions obtained by the two methods agree qualitatively; however, the CNGFE method seems to introduce some damping into the system for non-polar materials, but none for dipolar materials.
引用
收藏
页码:741 / 748
页数:8
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