1983•Journal of Applied PhysicsRequires access

On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves

A. Cemal Eringen

Open publisher page 4,820 citations

Abstract

Integropartial differential equations of the linear theory of nonlocal elasticity are reduced to singular partial differential equations for a special class of physically admissible kernels. Solutions are obtained for the screw dislocation and surface waves. Experimental observations and atomic lattice dynamics appear to support the theoretical results very nicely.

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What this paper is about

Integropartial differential equations of the linear theory of nonlocal elasticity are reduced to singular partial differential equations for a special class of physically admissible kernels. Solutions are obtained for the screw dislocation and surface waves. Experimental observations and atomic lattice dynamics appear to support the theoretical results very nicely.

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Available abstract

Integropartial differential equations of the linear theory of nonlocal elasticity are reduced to singular partial differential equations for a special class of physically admissible kernels. Solutions are obtained for the screw dislocation and surface waves. Experimental observations and atomic lattice dynamics appear to support the theoretical results very nicely.

Key concepts: Elasticity (physics), Dislocation, Partial differential equation, Mathematical analysis, Differential equation, Mathematics, Classical mechanics, Physics

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