Homogenization of a contact problem for a system of densely situated punches. (English) Zbl 0996.74061
Summary: We investigate a linear contact problem an elastic half-space with rigid punches \(\varepsilon\)-periodically situated on a bounded part of the boundary of the elastic solid. Using the homogenization theory and the method of matched asymptotic expansions, we construct the leading terms of asymptotic solution as \(\varepsilon\to 0\). We examine the general capacity of the contact zone, and describe some its properties.
MSC:
74Q05 | Homogenization in equilibrium problems of solid mechanics |
74M15 | Contact in solid mechanics |