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An investigation of the stability of numerical solutions of the equations of viscoelasticity

✍ Scribed by J. R. Booker; J. C. Small

Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
429 KB
Volume
11
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

In this paper the correspondence principle is used to reduce the equations of viscoelasticity to the equations of elasticity by means of a Laplace transform.

The finite element technique is used to approximate these equations in Laplace transform space. The approximating equations are then inverted to obtain a set of simultaneous Volterra integral equations. It is then shown how the introduction of certain auxiliary variables can be used to develop an integration scheme which considerably reduces computer storage requirements.

The conditions under which this integration scheme is conditionally stable and unconditionally stable are both investigated and illustrated by means of examples.

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