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1973•ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und MechanikRequires access

Some Two‐Dimensional Exterior Problems in a Linear Elastic Solid of Grade Two

N. N. Eshel, Gerald Rosenfeld

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Abstract

Abstract Solutions are given to four two‐dimensional exterior problems in a linear, mechanically homogeneous, isotropic and centrosymmetric elastic solid of grade two (Toupin [1], p. 87). bounded internally by a circular cylindrical cavity. The solutions are found to be size dependent and to exhibit boundary layer effects. The results are compared to the corresponding results in classical elasticity, couple‐stress theory and micropolar elasticity.

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What this paper is about

Abstract Solutions are given to four two‐dimensional exterior problems in a linear, mechanically homogeneous, isotropic and centrosymmetric elastic solid of grade two (Toupin [1], p. 87). bounded internally by a circular cylindrical cavity. The solutions are found to be size dependent and to exhibit boundary layer effects. The results are compared to the corresponding results in classical elasticity, couple‐stress theory and micropolar elasticity.

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Available abstract

Abstract Solutions are given to four two‐dimensional exterior problems in a linear, mechanically homogeneous, isotropic and centrosymmetric elastic solid of grade two (Toupin [1], p. 87). bounded internally by a circular cylindrical cavity. The solutions are found to be size dependent and to exhibit boundary layer effects. The results are compared to the corresponding results in classical elasticity, couple‐stress theory and micropolar elasticity.

Key concepts: Elasticity (physics), Linear elasticity, Isotropy, Homogeneous, Mathematical analysis, Mathematics, Bounded function, Geometry

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