含圆孔拉伸板的近场动力学数值模拟

首先推导了非普通状态为基础的近场动力学基本方程,引入损伤理论.在对非普通状态为基础的近场动力学基本方程进行离散化后,编制了非普通状态为基础的近场动力学数值分析程序.利用非普通状态为基础的近场动力学理论对圆孔拉伸板的断裂和非断裂问题进行了数值模拟.数值结果表明近场动力学理论不仅能模拟非断裂问题,也能模拟断裂问题,而且该方法不需要借助任何外部断裂准则就能很好地模拟裂纹的扩展和连接过程,相对于其它的数值模拟方法具有很大的优势,同时它也为材料断裂问题提供了一种新方法和新思路.

The numerical simulation of tensile plate with circular hole using peridynamic theory

basic equation of non-ordinary state-based peridynamic theory is deduced at first,then damage theory is introduced, Its numerical program is compiled after the basic equation of non-ordinary state-based peridynamic theory is discretized. The rupture and non-rupture problem of a tensile plate with circular hole is modeled using non-ordinary state-based peridynamic theory. The numerical results show that it can not only model rupture problem but also non-rupture problem by using non-ordinary state-based peridynamic theory. In comparison with the other numerical methods, the propagation and coalescence of cracks can be simulated using non-ordinary state-based peridynamic theory without any outer fracture criterion. Therefore, it has great advantages over other numerical methods. And it also offers a new method and thought to simulate the rupture problem of materials.