改进的键基正交各向异性近场动力学模型

An improved bond-based peridynamic orthotropic model

针对经典的键基近场动力学(bond-based peridynamic,BPD)模型受固定泊松比限制的问题,提出一种改进BPD模型。该模型可解除泊松比限制,并可用于分析正交各向异性单向板的变形和裂纹扩展问题。在改进BPD模型中,每根键受到轴向和横向成对力的作用,额外增加的节点转动可消除由横向力引起的附加弯矩,从而确保该模型满足角动量守恒条件。仿真结果验证所提出的改进BPD模型的精度,并展示其预测碳纤维复合材料变形和裂纹扩展的能力。

As to the problem that the classical bond-based peridynamic(BPD)model is limited by the fixed Poisson′s ratio,an improved BPD model is proposed,which removes the limitation of Poisson′s ratio and can be used to analyze the deformation and crack propagation of orthotropic anisotropic plates.In the improved BPD model,each bond is subjected to axial and transverse forces in pairs,and the additional rotation of particles can eliminate the additional bending momentum caused by transverse forces,so that the balance of angular momentum can be ensured.The simulation results can verify the accuracy of the improved BPD model,and show its ability to predict the deformation and crack propagation in carbon fiber composite material.