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.Quasi-static friction problems. We are interested here in considering the case in which the applied (tangential) forces vary with time, although in such a manner that we are able to neglect the linearized acceleration term d2u/df2 in the equationanbsp;...
|Title||:||Contact Problems in Elasticity|
|Author||:||N. Kikuchi, J. T. Oden|
|Publisher||:||SIAM - 1988|