ELASTO-PLASTIC FINITE ELEMENT MODEL ON THIN-WALLED SPATIAL BEAMS
Based on the theories of Bemoulli-Euler beams and Vlasovs thin-walled members, a new elasto-plastic finite element model is presented in the paper. With independent interpolation of bending rotations and warp in the element, coupling between flexure and torsion, effect of shear deformation and warp generated by nonuniform torsion and second-order shear stress are all considered. The element material is assumed to complywith Von Mises yield criterion and Prandtl-Reuss incremental relationship. Finite segment method is employed with certain Guass points distributed along the beam axis and in the cross section to track plastic deformation development. By numerical integration, tangential elastoplastic stiffness matrix is implicitly deduced. Nonlinear equations are solved by Newton-Raphson combined with explicitly spherical arc-length method.According to the model established above, a finite element program is developed by C#.NET.Examples given in the paper demonstrate validity and credibility of the model.
Spatial beams Thin-walled beams Elastoplastic Finite element Stiffness matrix
Xiao-Feng Wang Qing-Shan Yang
School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, P.R. China
国际会议
第十届国际结构工程青年学者研讨会(The Tenth International Symposium on Structural Engineering for Young Experts)
长沙
英文
1039-1044
2008-10-19（万方平台首次上网日期，不代表论文的发表时间）