On homogenization of a variational inequality for an elastic body with periodically distributed fissures
Journal Article
·
· Sbornik. Mathematics
- Moscow State Institute of Radio Engineering, Electronics and Automatics - Technical University, Moscow (Russian Federation)
We study the problem of small deformations of an elastic body with periodically distributed fissures, where one-sided constraints are imposed on the sides of the fissures; this problem is equivalent to a variational inequality. We prove that if the linear size of the period of the distribution of the fissures tends to zero, then the solutions of this problem converge in the L{sup 2}-norm to the solution of the homogenized problem, which is a non-linear boundary-value problem of elasticity theory for a domain without fissures.
- OSTI ID:
- 21202915
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 2 Vol. 191; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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