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http://bura.brunel.ac.uk/handle/2438/3370
Title: | Localized direct boundary-domain integro-differential formulations for incremental elasto-plasticity of inhomogeneous body |
Authors: | Mikhailov, SE |
Keywords: | Incremental elasto-plasticity; Functionally graded materials; Variable coefficients; United formulation; Partly segregated formulation; Integro-differential equation; Localization; Mesh-based discretization; Mesh-less discretization |
Issue Date: | 2006 |
Publisher: | Elsevier |
Citation: | Engineering Analysis with Boundary Elements. 30 (3) 218-226 |
Abstract: | A quasi-static mixed boundary value problem of incremental elasto-plasticity for a continuously inhomogeneous body is considered. Using the two-operator Green–Betti formula and the fundamental solution of a reference homogeneous linear elasticity problem, with frozen initial or tangent elastic coefficients, a boundary-domain integro-differential formulation of the elasto-plastic problem is presented, with respect to the displacement rates and their gradients. Using a cut-off function approach, the corresponding localized parametrix of the reference problem is constructed to reduce the elasto-plastic 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. |
URI: | http://www.elsevier.com/wps/find/journaldescription.cws_home/
422920/description#description http://bura.brunel.ac.uk/handle/2438/3370 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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