publication . Part of book or chapter of book . 2006

Incremental localized boundary-domain integro-differential equations of elastic damage mechanics for inhomogeneous body

Mikhailov, SE;
Open Access English
  • Published: 01 Jan 2006
  • Publisher: Tech Science Press
  • Country: United Kingdom
Copyright @ 2006 Tech Science Press 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 int...
free text keywords: Elasticity, Damage, Inhomogeneous material, Variable coefficients, Direct formulation, Integro-differential equation, Localization, Mesh-based discretization, Mesh-less discretization
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