论文标题
存在原子系统的准静态裂纹演变
Existence of quasi-static crack evolution for atomistic systems
论文作者
论文摘要
我们认为原子系统由与原子晶格中排列的相互作用颗粒组成，其准静态演化是由时间依赖性边界条件驱动的。颗粒的相互作用是通过经典相互作用势建模的，在经典的相互作用电位中，我们实施了适当的不可逆性条件，以建模原子键的破裂。这会导致延迟微分方程，具体取决于前来的变形的完整历史记录。我们证明了解决方案的存在，并为预测粒子系统中准静态裂纹生长的预测提供了数值测试。
We consider atomistic systems consisting of interacting particles arranged in atomic lattices whose quasi-static evolution is driven by time-dependent boundary conditions. The interaction of the particles is modeled by classical interaction potentials where we implement a suitable irreversibility condition modeling the breaking of atomic bonding. This leads to a delay differential equation depending on the complete history of the deformation at previous times. We prove existence of solutions and provide numerical tests for the prediction of quasi-static crack growth in particle systems.
