Deformable Body Mechanics

Boundary Integral Equation Method for Holomorphic Vector for Problems Monitoring Elasticity Field

A. A. Schwab

Lab. of Static Strength, M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk

Abstract: Consideration is given to a class of non-classical problems in elasticity theory which concerns the restoration of a full tensor of stresses in a body in the case where for one part of the body surface the loading vector and the displacement vector are prescribed, for other parts vector of displacements or vector of loads is known and for some parts of the body surface (its measure is not equal zero) the conditions are unknown. For solving of this problem boundary integral equations method for the holomorphic vector is proposed. It is shown that this method is efficient and can be applied to the non-classical problems of mechanics.

Keywords: boundary integral equation, non-classical problems in elasticity, monitoring problems, elasticity fields.

UDC: 539.3

MSC: 35Q74

Original article submitted 08/XII/2009
revision submitted – 03/III/2010

DOI: 10.14498/vsgtu747

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