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Title: Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body
Authors: Mikhailov, SE
Keywords: Non-linear elasticity
Variable coefficients
Direct formulation
Integro-differential equation
Mesh-based discretization
Mesh-less discretization
Publication Date: 2005
Publisher: Elsevier
Citation: Engineering Analysis with Boundary Elements. 29 (11): 1008-1015, Nov 2005
Abstract: A static mixed boundary value problem (BVP) of physically nonlinear elasticity for a continuously inhomogeneous body is considered. Using the two-operator Green-Betti formula and the fundamental solution of an auxiliary linear operator, a non-standard boundary-domain integro-differential formulation of the problem is presented, with respect to the displacements and their gradients. Using a cut-off function approach, the corresponding localized parametrix is constructed to reduce the nonlinear BVP to a nonlinear localized boundary-domain integro-differential equation. Algorithms of mesh-based and mesh-less discretizations are presented resulting in sparsely populated systems of nonlinear algebraic equations.
Appears in Collections:Mathematical Science
Dept of Mathematics Research Papers

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