考虑剪切作用的梁元几何非线性损伤分析

Geometrically Nonlinear Damage Mechanics Analysis of Beam Element Considering Shear Deformation Effect

为了分析考虑材料退化的梁的几何非线性受力性能,引入相关文献的损伤力学框架.推导出损伤前后的弹性模量和泊松比之间的关系,定义了基于位移函数的损伤演化方程.在考虑剪切作用情况下,结合梁的几何非线性的更新Lagrange法,编制了几何非线性损伤程序.数值例子有效地验证了材料损伤对荷载位移曲线的影响,以及梁端位移受所定义损伤阈值的影响.

A framework of damage mechanics in a related literature was introduced to geometric nonlinear analysis for the mechanical performance of beam considering material degradation.The relationships of elastic modulus and Poisson ratio before and after damage were derived,and the damage evolution equations based on the displacement function were proposed. Computer programs were developed to analyze geometrically nonlinear damage behavior of beam with update Lagrange method considering shear deformation effect. Numerical example demonstrated the damage effect on load-displacement curve and the effect of the damage threshold on the displacement of beam end.