Numerical solution of a contact problem with unilateral constraint and history-dependent penetration

作者：Barboteu Mikael; Han Weimin; Sofonea Mircea

来源：Journal of Engineering Mathematics, 2016, 97(1): 177-194.

DOI：10.1007/s10665-015-9804-z

• Augmented Lagrangian method
• Finite element scheme
• History-dependent stiffness coefficient
• Normal compliance
• Numerical simulations
• Unilateral constraint

A numerical method is presented for a mathematical model which describes the frictionless contact between a viscoplastic body and an obstacle, the so-called foundation. The process is quasistatic, and the contact is modeled with normal compliance and unilateral constraint, in such a way that the stiffness coefficient depends on the history of the penetration. A solution algorithm is discussed and implemented. Numerical simulation results are reported, illustrating the mechanical behavior related to the contact condition.

• 出版日期2016-4