Formulation for tangent stiffness matrix of 3-D smeared rotating crack concrete model
Considerable work has been done for the modeling of concrete cracking in finite element methods. Of all cracking models in concrete for the time being probably the smeared cracking procedure became most popular. However, most of previous workings concentrated on the 2-D plane-stress situation and conventionally employed a secant material stiffness matrix for the nonlinear FE iteration procedure. Following Crisfield and Wills formulation for 2-D rotating crack model, a tangent stiffness matrix of 3-D concrete for nonlinear FE analysis of RC structures is described and derived in this paper. The formulation stems from the assumption that the directions of 3-D principal stress and principal strain coincide and that the crack direction rotates in relation to current direction of the principal strain. The transformation matrix, i. e. the relationship between the current 3-D strain/stress and its principal strain/stress is then established by strain/stress analysis. Further manipulation for the differentiation of transformation matrix with respect to space strain finally leads to the determination of the tangent stiffness matrix of rotating crack concrete model. Which is more numerically efficient to be implemented in nonlinear FE computation and generally results in a better convergence in conjunction with Newton-Raphson iteration procedure.
Rotating crack model Tangent stiffness matrix Reinforced concrete Numerical implementation
Songbai Cai B. A. Izzuddin A. Elghazouli P. Shen
College of Resources and Environment Science, Hunan Normal University, Changsha 410081, China Department of Civil Engineering, Imperial College, London SW7 2BU, United Kingdom College of Civil Engineering, Hunan University, Changsha 410082, China
国际会议
国际断裂力学2007年会(Fracture Mechanics and Applications 2007)
长沙
英文
169-172
2007-11-01（万方平台首次上网日期，不代表论文的发表时间）