Abstract
A mesh-independent finite difference method for elastoplastic boundary value problems with strain softening is proposed. The regularization of the problem is achieved by introducing the second-order gradient of the plastic multiplier in the yield function. The addition of a gradient term in the material failure criterion preserves ellipticity or hyperbolicity conditions and consequently removes mesh dependency after the strain-softening regime has been entered. The method is extended to the Mohr–Coulomb material model and the implementation of the gradient-dependent plasticity theory to finite difference codes is discussed. Copyright © 2000 John Wiley & Sons, Ltd.
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