论文标题
与不稳定力的准进化
Quasistatic Evolution with Unstable Forces
论文作者
论文摘要
我们考虑负载控制的准静脉演化。建立了与植物动力学相关的非局部连续体模型的良好姿势结果。我们显示了源于稳定关键点的负载路径的局部存在和唯一性。这些点可以与属于材料强度域的一组变形集中的局部能量最小值有关。然而，位移的演变不受限制地位于材料强度域内。载荷控制的演化显示出表现出能量平衡。
We consider load controlled quasistatic evolution. Well posedness results for the nonlocal continuum model related to peridynamics are established. We show local existence and uniqueness of quasistatic evolution for load paths originating at stable critical points. These points can be associated with local energy minima among the convex set of deformations belonging to the strength domain of the material. The evolution of the displacements however is not constrained to lie inside the strength domain of the material. The load-controlled evolution is shown to exhibit energy balance.
