Atomistic potentials based energy flux integral criterion for dynamic adiabatic shear banding |
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Affiliation: | 1. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, PR China;2. Center for Applied Physics and Technology, Peking University, Beijing 100871, PR China;1. Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India;2. Department of Physics, D.D.U. College, University of Delhi, Delhi 110015, India;3. Department of Physics, Shyamlal College, University of Delhi, Delhi 110032, India;1. S&V Lab, Department of Engineering Mechanics, Xi’an Jiaotong University, Xi’an 710049, China;2. Xi’an Thermal Power Research Institute Co., Ltd., Xi’an 710032, China;1. Department of Civil and Environmental Engineering, Yonsei University, 50 Yonsei-ro, Seodamun-gu, Seoul 120-749, Republic of Korea;2. Department of Mechanical Engineering, UNIST, 50 UNIST-gil, Ulsan 689-798, Republic of Korea |
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Abstract: | The energy flux integral criterion based on atomistic potentials within the framework of hyperelasticity–plasticity is proposed for dynamic adiabatic shear banding (ASB). System Helmholtz energy decomposition reveals that the dynamic influence on the integral path dependence is originated from the volumetric strain energy and partial deviatoric strain energy, and the plastic influence only from the rest part of deviatoric strain energy. The concept of critical shear banding energy is suggested for describing the initiation of ASB, which consists of the dynamic recrystallization (DRX) threshold energy and the thermal softening energy. The criterion directly relates energy flux to the basic physical processes that induce shear instability such as dislocation nucleations and multiplications, without introducing ad-hoc parameters in empirical constitutive models. It reduces to the classical path independent J-integral for quasi-static loading and elastic solids. The atomistic-to-continuum multiscale coupling method is used to simulate the initiation of ASB. Atomic configurations indicate that DRX induced microstructural softening may be essential to the dynamic shear localization and hence the initiation of ASB. |
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Keywords: | Contour integral Energy flux criterion Adiabatic shear banding Atomistic-to-continuum simulation Hyperelasticity–plasticity |
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