NON-LOCAL ELASTO-VISCOPLASTIC MODELS WITH DISLOCATIONS AND NON-SCHMID EFFECT

作者：Cleja Tigoiu Sanda^*; Pascan Raisa

来源：Discrete and Continuous Dynamical Systems - Series S, 2013, 6(6): 1621-1639.

DOI：10.3934/dcdss.2013.6.1621

• Finite elasto-viscoplastic models
• non-local behaviour
• dislocations
• non-Schmid effect

We propose a non-local model with dislocation densities and non-Schmid effect in the finite elasto-plasticity framework, which accounts for the dissipation postulate formulated through a principle of the free energy imbalance. Our goal is to characterize the scalar plastic velocities and activation condition in order to be compatible with the principle of the imbalanced free energy. The activation condition is expressed in terms of the generalized resolved stress, which is dependent not only on the Mandel stress measure, but also on the gradient of the scalar dislocation density. We analyze numerically how the model behaves for a simple shear problem into a layer when only one slip system is activated.

• 出版日期2013-12