Variational Inequalities with Applications [electronic resource] : A Study of Antiplane Frictional Contact Problems /
Sofonea, Mircea.author.
Matei, Andaluzia.author.
This book is motivated by stimulating problems in contact mechanics, emphasizing antiplane frictional contact with linearly elastic and viscoelastic materials. It focuses on the essentials with respect to the qualitative aspects of several classes of variational inequalities (VIs). Clearly presented, easy to follow, and well-referenced, this work treats almost entirely VIs of the second kind, with much of the material being state-of-the-art. Applied mathematicians and advanced graduate students wishing to enter the field of VIs would benefit from this work as it sets out in detail basic features and results in the mathematical theory of contact mechanics. Researchers interested in applications of numerical analysis pertaining to VIs would also find the work useful. Assuming a reasonable knowledge of functional analysis, this volume is a must for graduate students, practitioners, and engineers engaged in contact mechanics.
Description based upon print version of record.
Includes bibliographical references (p.219-226) and index.
Background on Functional Analysis -- Preliminaries -- Function Spaces -- Variational Inequalities -- Elliptic Variational Inequalities -- Evolutionary Variational Inequalities with Viscosity -- Evolutionary Variational Inequalities -- Volterra-type Variational Inequalities -- Background on Contact Mechanics -- Modeling of Contact Processes -- Antiplane Shear -- Antiplane Frictional Contact Problems -- Elastic Problems -- Viscoelastic Problems with Short Memory -- Viscoelastic Problems with Long Memory.
This book is motivated by stimulating problems in contact mechanics, emphasizing antiplane frictional contact with linearly elastic and viscoelastic materials. It focuses on the essentials with respect to the qualitative aspects of several classes of variational inequalities (VIs). Clearly presented, easy to follow, and well-referenced, this work treats almost entirely VIs of the second kind, with much of the material being state-of-the-art. Applied mathematicians and advanced graduate students wishing to enter the field of VIs would benefit from this work as it sets out in detail basic features and results in the mathematical theory of contact mechanics. Researchers interested in applications of numerical analysis pertaining to VIs would also find the work useful. Assuming a reasonable knowledge of functional analysis, this volume is a must for graduate students, practitioners, and engineers engaged in contact mechanics.
Calculus of variations.
Mathematical analysis.
Calculus.
Mechanics.
Mechanics, Applied.
Global analysis (Mathematics).
Manifolds (Mathematics).
Operator theory.
Partial differential equations.
Calculus of Variations and Optimal Control; Optimization.
Analysis.
Solid Mechanics.
Global Analysis and Analysis on Manifolds.
Operator Theory.
Partial Differential Equations.
Advances in mechanics and mathematics