A Mathematical Programming Method for Design of Elastic Bodies in Contact

Abstract

This study deals with the development of a programming procedure for the analysis and design of general problems of elastic bodies in contact. The procedure utilizes a simplex-type algorithm. The technique is applied to Hertzian-type contacts, and contacts of beams on elastic foundations. The selection of initial separations in the latter case for the optimal load distribution is considered as an example for the design scheme. The technique gives an effective and relatively inexpensive means of treating this class of problems.

Development of a new mechano-chemical model in boundary lubrication

“…There have been many attempts at simulating the contact of rough surfaces in contact mechanics [23][24][25][26][27][28][29][30][31][32][33][34][35]. The contact mechanics model developed by Tian and Bhushan [36] which considers the complementary potential energy will be used in this work.…”

RETRACTED: Canonical dual approach for contact mechanics problems with friction

“…Early research focused on frictionless contact between two or more bodies [2,3], where a quadratic programming optimization problem or a variational inequality (like in [4]) is solved. However, in most cases, this formulation does not completely reflect the physical reality.…”

Solution of contact optimization problems of cylindrical bodies usinghp‐FEM

“…The contact pressure optimization was investigated for elastic punch and rigid target problem in the case of linear elasticity in References [18][19][20][21]. In many earlier works [22][23][24] the maximum contact pressure was chosen as the objective function, but it was not di erentiable. Articles [17-19; 25] are using the total potential energy as a cost function and the integral of the gap function as the isoparametric constraint.…”