Variational-Hemivariational Inequalities with Applications (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) [Hardcover] Sofonea, Mircea and Migorski, Stanislaw

Book Details:

• Book Title: Nonlinear Analysis and Mathematical Modelling: Applications to Solid and Contact Mechanics

• Author: Mircea Sofonea

• Edition: 1

• Binding: Hardcover

• ISBN: 9781498761581

• Pages: 328

• Release Date: 13-10-2017

• Language: English

About the Book:

This research monograph explores the intersection of nonlinear functional analysis and mathematical modelling, specifically its applications to solid and contact mechanics. Drawing on the author’s original research, the book introduces a general fixed-point principle and applies it to various nonlinear problems in analysis and mechanics. It includes a comprehensive treatment of history-dependent and almost history-dependent operators, presented with a focus on their generality.

The book systematically presents new results on variational-hemivariational inequalities, both with and without unilateral constraints. Through a series of static, quasistatic, and dynamic contact problems, the applicability of these theoretical results is illustrated in relation to elastic, viscoelastic, and viscoplastic materials.

This work serves as an essential reference for mathematicians, applied mathematicians, engineers, and scientists, and is also valuable for graduate students and researchers in nonlinear analysis, mathematical modelling, and mechanics.

Key Features:

• A comprehensive study of nonlinear functional analysis and its applications in solid and contact mechanics.

• Introduction of a general fixed-point principle and its application to nonlinear analysis problems.

• Focus on variational-hemivariational inequalities with and without unilateral constraints.

• Includes applications to a wide range of static, quasistatic, and dynamic contact problems involving elastic, viscoelastic, and viscoplastic materials.

• Written for mathematicians, engineers, and scientists, making it a valuable resource for both theory and application in nonlinear analysis and mechanics.