Matematika i Matematičeskoe Modelirovanie (Jan 2015)

Mathematical Modeling of Contact Problems of Elasticity Theory with Continuous Unilateral Contact

  • I. V. Stankevich

Journal volume & issue
Vol. 0, no. 5
pp. 83 – 96

Abstract

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The work [1] presents the formulation and numerical solution of the problem concerning the unilateral discrete contact interaction of an elastic body and a rigid half-space. However, many parts and components of engineering structures have a pronounced continuous contact within a given surface [2, 3]. In this paper we consider a special case of this option of contact interaction when, the elastic body of finite size, subjected to external forces, is based on a rigid half-space. Contact occurs through a dedicated contact surface, which in general can change their sizes.Developed to solve this problem, a numerical algorithm is a further adaptation and development of the approaches described in [1]. The paper shows results of solving the model problem of the elasticity theory with and without taking friction into account. In the latter case, were additionally obtained numerical data characterizing the convergence of the solution.

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