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Articles

Quasistatic evolution of damage in an elastic body with random inputs

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Pages 1416-1431 | Received 20 Apr 2017, Accepted 24 Sep 2017, Published online: 07 Oct 2017
 

Abstract

A model for the quasistatic evolution of the motion of an elastic body which is subject to material damage is presented and analyzed. The model takes the form of an elliptic system for the displacements coupled with a parabolic inclusion for the damage field. In both the system and the inclusion the coefficient and input functions that are present are assumed to be stochastic processes dependent on a random variable. The existence of a weak solution to the model is established using a sequence of approximate problems and passage to a limit. Moreover, the weak solution is shown to be product measurable.

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Notes

No potential conflict of interest was reported by the authors.

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