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Title: Incremental localized boundary-domain integro-differential equations of elastic damage mechanics for inhomogeneous body
Authors: Mikhailov, SE
Keywords: Elasticity;Damage;Inhomogeneous material;Variable coefficients;Direct formulation;Integro-differential equation;Localization;Mesh-based discretization;Mesh-less discretization
Issue Date: 2006
Publisher: Tech Science Press
Citation: Sladek, J; Sladek, V (Ed(s)), Advances in meshless methods: pp. 105 - 123, 2006
Abstract: A quasi-static mixed boundary value problem of elastic damage mechanics for a continuously inhomogeneous body is considered. Using the two-operator Green-Betti formula and the fundamental solution of an auxiliary homogeneous linear elasticity with frozen initial, secant or tangent elastic coe┬▒cients, a boundary-domain integro-differential formulation of the elasto-plastic problem with respect to the displacement rates and their gradients is derived. Using a cut-off function approach, the corresponding localized parametrix of the auxiliary problem is constructed to reduce the problem 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 for the displacement increments.
Description: Copyright @ 2006 Tech Science Press
ISBN: 0971788022
Appears in Collections:Publications
Dept of Mathematics Research Papers
Mathematical Sciences

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