Comparison Of Solutions For Adiabatic Shear Banding By Forward-difference And Crank-Nicolson Methods

Author

R. C. Batra, Missouri University of Science and Technology
T. W. Wright

Abstract

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.

Recommended Citation

R. C. Batra and T. W. Wright, "Comparison Of Solutions For Adiabatic Shear Banding By Forward-difference And Crank-Nicolson Methods," Communications in Applied Numerical Methods, vol. 4, no. 6, pp. 741 - 748, Wiley, Jan 1988.

The definitive version is available at https://doi.org/10.1002/cnm.1630040607

Department(s)

Mechanical and Aerospace Engineering

International Standard Serial Number (ISSN)

0748-8025

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Wiley, All rights reserved.

Publication Date

01 Jan 1988