Numerical analysis of the problems of contact of three elastic bodies by the domain decomposition methods

作者：Prokopyshyn I I^*; Dyyak I I; Martynyak R M

来源：Materials Science, 2013, 49(1): 45-58.

DOI：10.1007/s11003-013-9581-7

• contact of elastic bodies
• variational inequalities
• penalty method
• iterative methods
• domain decomposition methods
• finite-element method

We study the domain decomposition methods for the numerical solution of the problems of frictionless unilateral contact of many elastic bodies of finite sizes. By using the finite-element approximations, we solve the problems of the unilateral contact of three elastic bodies compressed by rigid plates and the contact of three fixed bodies one of which is subjected to the action of an external load. The distributions of normal contact and equivalent stresses in the bodies are analyzed.

• 出版日期2013-7