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dc.contributor.authorMikhailov, SE-
dc.identifier.citationEngineering Analysis with Boundary Elements. 29 (11): 1008-1015, Nov 2005en
dc.description.abstractA 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.en
dc.format.extent219784 bytes-
dc.subjectNon-linear elasticityen
dc.subjectVariable coefficients-
dc.subjectDirect formulation-
dc.subjectIntegro-differential equation-
dc.subjectMesh-based discretization-
dc.subjectMesh-less discretization-
dc.titleDirect localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous bodyen
dc.typeResearch Paperen
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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