Frictionless contact problems for elastic hemitropic solids: Boundary variational inequality approach
Copyright policy )Frictionless contact problems for elastic hemitropic solids: Boundary variational inequality approach
The frictionless contact problems for two interacting hemitropic solids with different elastic properties is investigated under the condition of natural impenetrability of one medium into the other. We consider two cases, the so-called coercive case (when elastic media are fixed along some parts of their boundaries), and the semicoercive case (the boundaries of the interacting elastic media are not fixed). Using the potential theory we reduce the problems to the boundary variational inequalities and analyse the existence and uniqueness of weak solutions. In the semicoercive case, the necessary and sufficient conditions of solvability of the corresponding contact problems are written out explicitly.
Polar materials, Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators, Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators, Cosserat solids, PDEs in connection with mechanics of deformable solids, hemitropic solids, frictionless contact, Contact in solid mechanics, Equations and inequalities involving linear operators, with vector unknowns, boundary variational inequality
Polar materials, Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators, Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators, Cosserat solids, PDEs in connection with mechanics of deformable solids, hemitropic solids, frictionless contact, Contact in solid mechanics, Equations and inequalities involving linear operators, with vector unknowns, boundary variational inequality
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