✦ LIBER ✦
Quasistatic and dynamic problems in viscoplasticity theory—non-linearities with power growth
✍ Scribed by Waldemar Pompe
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 159 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.531
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✦ Synopsis
Abstract
We find a common abstract formulation of the quasistatic and dynamic problems from viscoplasticity theory. Based on this formulation we show existence and uniqueness of the solution to this abstract problem by choosing appropriate spaces and by reducing the problem to an evolution equation, which can be treated by the general theory of monotone operators in Hilbert space. Our proof is valid for non‐linearities in the constitutive equation with power law growth. Copyright © 2004 John Wiley & Sons, Ltd.