Contact problem in a quarter plane with a rigid stamp as the basis of problems with a deformable stamp
UDC
539.3DOI:
https://doi.org/10.31429/vestnik-20-3-80-85Abstract
The paper considers the contact problem of the action of an absolutely rigid stamp in the form of a quarter plane on a multilayer medium. This problem is the initial one for solving the contact problem under consideration, but already with a deformable stamp. Methods of solving the resulting there is no integral equation of the contact problem, either by numerical or analytical approaches. In this paper, it is developed using a universal modeling method developed by the authors earlier. The method made it possible to transform an integral equation posed in a quarter plane to a differential one, and then reduce it to a factorization problem. This made it possible to construct an exact solution to the contact problem in the quarter plane. This result, then, after constructing the solution of the boundary problem in a quarter plane, it turns out to be possible to use it to solve the contact problem with a deformable stamp. The article provides another representation of the solution of the integral equation, valid for more general properties of the kernel of the integral equation.
Keywords:
contact problem, absolutely rigid stamp, block element method, integral equationAcknowledgement
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Copyright (c) 2023 Mukhin A.S., Evdokimova O.V., Uafa S.B., Bushueva O.A., Khripkov D.A.
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