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PLENARY LECTURES AND VIP GUESTS
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Chengzhi Qi
Beijing University of Civil Engineering and Architecture
Elasto-plastic Model Of Quasi-brittle Material Based On Gauge And Phase Transition Theories
Aifantis International Symposium (2nd Intl. symp. on Multiscale Material Mechanics in the 21st Century)[Gradient Plasticity ]
Back to Plenary Lectures »
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Abstract:
In this paper the gauge and phase transition theories are used to construct the elasto-plastic model of quasi-brittle material with dissipation. Displacements, plastic distortion tensor are selected as the independent variables. The initial Lagrangian is constructed by the requirement of invariance of the Lagrangian with respect to translation transformation. In order to take into account the phase transition effect of plastic deformation fourth and sixth power terms of distortion tensor are added to the initial Lagrangian. The differential motion equations of the material are obtained by Euler-Lagrange equation with dissipation.The generalized HookĄ¯s laws are obtained on the basis of kinematic variational principle.Several special cese are discussed.
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