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|Title:||Localized direct boundary-domain integro-differential formulations for incremental elasto-plasticity of inhomogeneous body|
|Keywords:||Incremental elasto-plasticity; Functionally graded materials; Variable coefficients; United formulation; Partly segregated formulation; Integro-differential equation; Localization; Mesh-based discretization; Mesh-less discretization|
|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.|
|Appears in Collections:||Mathematical Science|
Dept of Mathematics Research Papers
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