The peridynamic model of a solid is suitable for studying the dynamics of defects in materials.We use the bond-based peridynamic theory to propose a one-dimensional nonlocal continuum model to study a defect in equili...The peridynamic model of a solid is suitable for studying the dynamics of defects in materials.We use the bond-based peridynamic theory to propose a one-dimensional nonlocal continuum model to study a defect in equilibrium and in steady propagation.As the defect propagates,the material particles undergo a transition between two states.By using the Wiener–Hopf method,an explicit analytical solution of the problem is obtained.The relation between the applied force and the propagation speed of the defect is determined;our results show that the defect does not propagate if the applied force is less than a critical value,whereas propagation occurs when the force exceeds that value.The energy properties of the system are investigated.展开更多
基金the support of the National Natural Science Foundation of China under Grant Nos.12002010 and 11872075.
文摘The peridynamic model of a solid is suitable for studying the dynamics of defects in materials.We use the bond-based peridynamic theory to propose a one-dimensional nonlocal continuum model to study a defect in equilibrium and in steady propagation.As the defect propagates,the material particles undergo a transition between two states.By using the Wiener–Hopf method,an explicit analytical solution of the problem is obtained.The relation between the applied force and the propagation speed of the defect is determined;our results show that the defect does not propagate if the applied force is less than a critical value,whereas propagation occurs when the force exceeds that value.The energy properties of the system are investigated.
