裂纹梁动力学仿真的有限元模型

针对弥散裂缝模型对裂纹影响区域没有定义的不足,基于应变能等效原则,提出了一种确定裂纹单元长度的计算方法,使这种传统、粗糙的建模方法更加实用.得出了裂纹影响区域相对裂纹深度的变化规律,当量纲一裂纹深度为0.4时,裂纹影响区域最大,约为0.443倍梁高.算例表明,采用改进模型的仿真结果和试验结果吻合较好.

An Improved Finite Element Model for Dynamic Simulation of Cracked Beam

Because of no definition given to the smeared crack model in crack influencing zone,a calculation method based on the principle of equivalence of strain energy is proposed to determine the crack element length,thus enabling the conventional rough modeling process to be more practical and finding out the dependence of crack depth on crack influencing zone.It is found that the crack influencing zone becomes maximum when the dimensionless crack depth is 0.4 which is 0.443 times as large as the beam height.A numerical example is given and shows that the simulation results by use of the improved model is basically in conformity to testing results.