应用数学和力学2024，Vol.45Issue(2)：127-143,17.DOI:10.21656/1000-0887.440251
接触与大变形问题的光滑有限元分析
Smoothed Finite Element Analysis of Contact and Large Deformation Problems
摘要
Abstract
Rubber material is widely used in practical engineering due to its good seismic and energy absorption effect.However,the collision of hyperelastic materials is a strong nonlinear problem.It is of great significance to analyze the contact collision and large deformation of hyperelastic materials to improve the buffering per-formance of the device.The smoothed finite element method(S-FEM)is a weak form of numerical calculation method.Compared with the traditional finite element method,the smoothed finite element method has low re-quirements on the mesh quality,allows the element to undergo large deformation during the calculation process,where the construction of the smooth domain is more flexible.The S-FEM has high accuracy without additional degrees of freedom.Based on the S-FEM,the double potential method was applied to contact calcu-lation,with both advantages of the S-FEM in calculating large deformation problems and advantages of the double potential method in solving contact force fully used.In comparison with the numerical results of finite el-ement software MSC.Marc,the results of the proposed algorithm were verified with high accuracy and good energy conservation,and the effects of the friction coefficient on the collision body were analyzed.关键词
接触/大变形/超弹性材料/光滑有限元法/双势方法Key words
contact/large deformation/hyperelastic material/smoothed finite element method/bi-potential theory分类
力学引用本文复制引用
范亚杰,李燕,李中潘,陈荟键,冯志强..接触与大变形问题的光滑有限元分析[J].应用数学和力学,2024,45(2):127-143,17.基金项目
国家自然科学基金(12002290) （12002290）
