Abstract
A thermodynamically consistent constitutive formulation for the coupled thermomechanical strain gradient plasticity theory is developed based on the finite deformation framework. The developed model is established based on an extra Helmholtz-type partial differential equation, and the nonlocal quantity is calculated in a coupled method based on the equilibrium conditions. This approach is well known for its computational strength; however, it is also commonly accepted that it cannot capture the size effect phenomenon observed in the micro/nanoscale experiments during hardening. To resolve this issue, a modified strain gradient approach that can capture the size effects under the finite deformation is constructed. The simple shear problem is then solved to carry out the feasibility study of the developed model on the size effect phenomenon. Lastly, the uniaxial plane strain tension problem with shear bands is examined to perform the mesh-sensitivity tests of the model during softening.
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