Numerical Calculations Models for Physical-Mechanical Systems

On the application of the Newton-Kantorovich method to the solution of the problem of stress distribution in a body with elastic inclusions for finite strains

K. M. Zingerman

Tver State University, Tver

Abstract: The plane problem of origination of a circular elastic inclusion (region with other properties) in a pre-loaded infinite isotropic elastic body is solved using an approximate analytical technique. The problem is formulated on the foundation of the theory of repeated superposition of large deformations. The Newton–Kantorovich method is used for solution. The solution of linearized problems is found using the complex variable theory.

Keywords: nonlinear elasticity, finite strains, plane problem, elastic inclusions, the Newton–Kantorovich method.

UDC: 539.3

Received: 14.04.2008
Revised: 26.04.2008

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