Modelling and Analysis of a Class of Metal–Forming Problems  

作　　者：T.A.Angelov 

机构地区：[1]Institute of Mechanics,Department of Solid Mechanics,Acad.G.Bonchev Street,Block 4,Sofia 1113,Bulgaria

出　　处：《Advances in Applied Mathematics and Mechanics》2010年第6期722-745,共24页应用数学与力学进展（英文）

摘　　要：A class of steady-state metal-forming problems,with rigid-plastic,incompressible,strain-rate dependent material model and nonlocal Coulomb’s friction,is considered.Primal,mixed and penalty variational formulations,containing variational inequalities with nonlinear and nondifferentiable terms,are derived and studied.Existence,uniqueness and convergence results are obtained and shortly presented.A priori finite element error estimates are derived and an algorithm,combining the finite element and secant-modulus methods,is utilized to solve an illustrative extrusion problem.

关 键 词：Steady-state metal-forming rigid-plastic material nonlocal friction variational formulations weak solutions secant-modulus method FE analysis 

分 类 号：O17[理学—数学]