XUAN Zhao-cheng, LI Xing-si. Unilateral Contact Problems Using Quasi-Active Set Strategy[J]. Applied Mathematics and Mechanics, 2002, 23(8): 811-818.
 Citation: XUAN Zhao-cheng, LI Xing-si. Unilateral Contact Problems Using Quasi-Active Set Strategy[J]. Applied Mathematics and Mechanics, 2002, 23(8): 811-818.

# Unilateral Contact Problems Using Quasi-Active Set Strategy

• Rev Recd Date: 2002-04-01
• Publish Date: 2002-08-15
• The unilateral contact problem can be formulated as a mathematical programming with inequality constraints.To resolve the difficulty in dealing with inequality constraints,a quasi-active set strategy algorithm was presented.At each iteration,it transforms the problem into one without contact in terms of the solution obtained in last iteration and initiates the current iteration using the solution of the transformed problem,and updates a group of contact pairs compared with Lemke algorithm that uqdates only one pair of contact points.The present algorithm greatly enhances the efficiency and numerical examples demonstrate the effectiveness and robustness of the proposed algorithm.
•  [1] Bisbos C D. A Cholesky condensation method for unilateral contact problems[J]. Solid Mechanics Archives,1985,11(1):1-23. [2] Panagiotopoulos P D. A nonlinear programming approach to the unilateral contact and friction boundary value problem in the theory of elasticity[J]. Ingenieur Archiv,1974,44(3):421-432. [3] Kikuchi N, Oden J T. Contact Problems in Elasticity: A Study of Variational Inequalities and FEM[M]. Philadelphia:SIAM,1988. [4] Zhong W X, Sun S M. A parametric quadratic programming approach to elastic contact problems with friction[J]. Comput & Structures,1989,32(1):37-43. [5] Xuan Z C, Li X S, Sui Y K. Surrogate dual problem of quadratic programming and the algorithm[J]. Chinese J Numer Math Appl,1999,21(1):45-53. [6] Rosen J B, Suzuki S. Construction of nonlinear programming test problems[J]. Comm of the ACM,1965,8(2):113. [7] Simunovic S, Saigal S. A linear programming formulation for incremental contact analysis[J]. Internat J Numer Methods Engrg,1995,38(16):2703-2725.

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142