Systems of Inclusions in a Spatial Elastic Wedge

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Abstract

Contact problems are considered for two identical thin rigid elliptic inclusions in a three-dimensional elastic wedge of two-sided angle outer faces of which are subjected to rigid or sliding support. The problems are reduced to integral equations with symmetric kernels. Two dimensionless geometric parameters are introduced to characterize location of the inclusions in the bisecting half-plane of the wedge. Assuming linear connection between the parameters, the regular asymptotic method is used to solve the problems. The asymptotic for two inclusions is compared with corresponding solutions for unit inclusion in the wedge as well as for a periodic chain of inclusions the axis of which is parallel to the wedge edge.

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About the authors

E. D. Pozharskaya

Don State Technical University

Email: pozharda@rambler.ru
Russian Federation, Rostov-on-Don

D. A. Pozharsky

Don State Technical University

Author for correspondence.
Email: pozharda@rambler.ru
Russian Federation, Rostov-on-Don

B. V. Sobol

Don State Technical University

Email: pozharda@rambler.ru
Russian Federation, Rostov-on-Don

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2. Fig. 1. Elliptical inclusions in the wedge

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3. Fig. 2. Self-equilibrated system of two parallel periodic chains of inclusions in elastic space

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