CAJ | 학술논문

为提高求解含裂纹压电体的能量释放率的计算效率和精度以及减少程序编写与调试的工作量,针对四节点平面压电单元提出了机电虚拟裂纹闭合法计算公式。基于通用商业有限元软件 ABAQUS,开发了哑节点断裂压电单元,编写用户自定义子程序 UEL,该单元可独立求解总能量释放率分量,对不同材料和裂纹长度的含裂纹压电体的能量释放率分量进行了求解,与理论解作了对比,讨论了不同形式网格对求解精度的影响。数值算例结果表明,哑节点断裂压电单元具有精度高、简单方便和对网格尺寸不敏感等优点。
위제고구해함렬문압전체적능량석방솔적계산효솔화정도이급감소정서편사여조시적공작량,침대사절점평면압전단원제출료궤전허의렬문폐합법계산공식。기우통용상업유한원연건 ABAQUS,개발료아절점단렬압전단원,편사용호자정의자정서 UEL,해단원가독립구해총능량석방솔분량,대불동재료화렬문장도적함렬문압전체적능량석방솔분량진행료구해,여이론해작료대비,토론료불동형식망격대구해정도적영향。수치산례결과표명,아절점단렬압전단원구유정도고、간단방편화대망격척촌불민감등우점。
To improve computational accuracy and efficiency of the energy release rate for piezoelectric body containing a crack and to reduce the workload of program compiling and debugging,a formulation based on the four node piezoelectric element was presented for electromechanical virtual crack closure tech-nique.Based on the proposed formulation,a fracture of piezoelectric element was implemented with ABAQUS user defined subroutine UEL with the idea of dummy nodes.The element can be solved inde-pendently with energy release rate component,which is validated by comparing the analytical solution with the theory of a center cracked piezoelectric with different materials,crack length and mesh for energy re-lease rates.Numerical examples show that this new fracture piezoelectric element is easy to use with high precision and is insensitive to the mesh size.