The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes.This chapter is concerned with the study of a class of contact problems with friction in linear elastostatics assuming ... for the existence and uniqueness of solutions, the approximation of such problems by finite elements, the derivation of aanbsp;...
|Title||:||Contact Problems in Elasticity|
|Author||:||N. Kikuchi, J. T. Oden|
|Publisher||:||SIAM - 1988|