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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 |
URI: | http://www.osti.gov/eprints/topicpages/documents/record/114/2578865.html http://bura.brunel.ac.uk/handle/2438/7241 |
ISBN: | 0971788022 9780971788022 |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
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