Incremental localized boundarydomain integrodifferential equations of elastic damage mechanics for inhomogeneous body
 Publisher: Tech Science Press

Subject: Elasticity  Damage  Inhomogeneous material  Variable coefficients  Direct formulation  Integrodifferential equation  Localization  Meshbased discretization  Meshless discretization
Copyright @ 2006 Tech Science Press
A quasistatic mixed boundary value problem of elastic damage mechanics for a continuously inhomogeneous body is considered. Using the twooperator GreenBetti formula and the fundamental solution of an auxiliary homogeneous linear elasticity with frozen initial, secant or tangent elastic coe±cients, a boundarydomain integrodifferential formulation of the elastoplastic problem with respect to the displacement rates and their gradients is derived. Using a cutoff function approach, the corresponding localized parametrix of the auxiliary problem is constructed to reduce the problem to a nonlinear localized boundarydomain integrodifferential equation. Algorithms of meshbased and meshless discretizations are presented resulting in sparsely populated systems of nonlinear algebraic equations for the displacement increments.

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