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Dislocation pattern formation in finite deformation crystal plasticity

Rajat Arora        Amit Acharya

Stressed dislocation pattern formation in crystal plasticity at finite deformation is demonstrated for the first time. Size effects are also demonstrated within the same mathematical model. The model involves two extra material parameters beyond the requirements of standard classical crystal plasticity theory. The dislocation microstructures shown are decoupled from deformation microstructures, and emerge without any consideration of latent hardening or constitutive assumptions related to cross-slip. Crystal orientation effects on the pattern formation and mechanical response are also demonstrated. The manifest irrelevance of the necessity of a multiplicative decomposition of the deformation gradient, a plastic distortion tensor, and the choice of a reference configuration in our model to describe the micromechanics of plasticity as it arises from the existence and motion of dislocations is worthy of note.

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Stress Recovery in XFEM

Hello all,

I am new to imechanica so pls forgive me if I make a mistake.

I have a coplue of doubts while recovering stresses from XFEM.

My problem statement has an inclusion with some eigen strain, embedded in  an infinite matrix. I have solved the problem for displacements using XFEM. I need to get the stresses at a point close to the interface.

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