Mindlin’s Problem for a Halfspace Indented by a Flexible Plate
Source abstract
Abstract
The paper deals with a contact problem for an isotropic elastic halfspace indented by a flexible circular plate and simultaneously subjected to a Mindlin-type axial force. The approach adopted is to solve the contact problem for the flexible circular plate and the elastic halfspace; this serves as the auxiliary solution to examine, via the Maxwell-Betti reciprocal theorem, the influence of the internal Mindlin force. The contact between the flexible plate and the elastic halfspace is solved using a variational approach. The net displacement of the flexible circular plate and the internal Mindlin force can be evaluated in analytical form. The result has applications to the in situ evaluation of the deformability characteristics of geologic media.
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Research context
OpenAlex topics: Contact Mechanics and Variational Inequalities · Numerical methods in engineering · Tunneling and Rock Mechanics
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References (22)
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