Variational–Hemivariational Inequalities with Applications, 2nd Edition

Variational-Hemivariational Inequalities with Applications, Second Edition represents the outcome of the cross-fertilization of nonlinear functional analysis and mathematical modeling, demonstrating its application to solid and contact mechanics. Based on the authors' original results, the book illustrates the use of various functional methods (including monotonicity, pseudomonotonicity, compactness, penalty, and fixed-point methods) in the study of various nonlinear problems in analysis and mechanics. The classes of history-dependent operators and almost history-dependent operators are exposed in a large generality. A systematic and unified presentation contains a carefully selected collection of new results on variational-hemivariational inequalities with or without unilateral constraints. A wide spectrum of static, quasistatic, and dynamic contact problems for elastic, viscoelastic, and viscoplastic materials illustrate the applicability of these theoretical results. Written for mathematicians, applied mathematicians, engineers, and scientists, this book is also a valuable tool for graduate students and researchers in nonlinear analysis, mathematical modeling, mechanics of solids, and contact mechanics. New to the second edition Convergence and well-posedness results for elliptic and history-dependent variational-hemivariational inequalities Existence results on various optimal control problems with applications in solid and contact mechanics Existence, uniqueness, and stability results for evolutionary and differential variational-hemivariational inequalities with unilateral constraints Modeling and analysis of static and quasistatic contact problems for elastic and viscoelastic materials with looking effect Modeling and analysis of viscoelastic and viscoplastic dynamic contact problems with unilateral constraints.