Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5018333 | Journal of the Mechanics and Physics of Solids | 2016 | 12 Pages |
Abstract
It is shown that the quasi-static response under a loading path is a solution of an evolution variational inequality as in classical plasticity. The rate problem and the rate minimum principle are revisited. A time-discretization by the implicit scheme of the evolution equation leads to the increment problem. An increment of the response associated with a load increment is a solution of a variational inequality and satisfies also a minimum principle if the energy potential is convex. The increment minimum principle deals with stables solutions of the variational inequality. Some numerical methods are discussed in view of the numerical simulation of the quasi-static response.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Quoc-Son Nguyen,