Modeling the Contact Interaction between a Nonuniform Foundation and a Rough Punch


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Abstract

A contact problem for a double foundation and a rigid punch is considered. It is assumed that the surface nonuniformity of the thin upper layer and the shape of the punch base can be described by complex rapidly changing functions. A projection method is developed that allows us to accurately solve the equation, which is not possible by the known methods. An algorithm of the numerical-analytical calculation is described. A model example is presented.

About the authors

A. V. Manzhirov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Bauman Moscow State Technical University; National Research Nuclear University MEPhI; Moscow Technological University (MIREA)

Author for correspondence.
Email: manzh@inbox.ru
Russian Federation, Moscow; Moscow; Moscow; Moscow

K. E. Kazakov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Bauman Moscow State Technical University

Email: manzh@inbox.ru
Russian Federation, Moscow; Moscow

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