基于内聚力理论的二维二次界面单元在ABAQUS中的UEL程序实现

The finite element formulation for a 2D quadratic cohesive element and its program implementation of UEL in ABAQUS

依据有限元理论,结合内聚力模型法则,推导出二维二次粘结界面单元在大位移情况下的数值格式,得到用形函数表示的单元位移模式、载荷向量和刚度矩阵,并进行了离散化。基于ABAQUS软件的自定义扩展模块,编制了相应的用户单元子程序UEL,通过数值算例验证了该程序的准确性和有效性。这一成果能为在ABAQUS软件中开展相关数值研究,以及开发其他类型的内聚力界面有限单元提供思路和参考。

Based on the standard finite element theory,and by employing the intrinsic cohesive zone modeling approach,a new 2D quadratic interface element is formulated to take into account large displacements.The displacement mode,force vector and stiffness matrix represented by shape functions have been obtained.Correspondingly,this element is programmed as a UEL subroutine in ABAQUS software.Several computational examples are investigated to verify the element implementation,and numerical results show its validity and accuracy.This can provide references for conducting simulation works or developing other interface element related to cohesive zone model in ABAQUS package.