TY  - BOOK
AU  - Matei,Andaluzia
AU  - Sofonea,Mircea
ED  - SpringerLink (Online service)
TI  - Variational Inequalities with Applications: A Study of Antiplane Frictional Contact Problems 
T2  - Advances in Mechanics and Mathematics,
SN  - 9780387874609
PY  - 2009///
CY  - New York, NY
PB  - Springer New York
KW  - MATHEMATICS
KW  - GLOBAL ANALYSIS
KW  - OPERATOR THEORY
KW  - DIFFERENTIAL EQUATIONS, PARTIAL
KW  - MATHEMATICAL OPTIMIZATION
KW  - MATERIALS
KW  - PARTIAL DIFFERENTIAL EQUATIONS
KW  - GLOBAL ANALYSIS AND ANALYSIS ON MANIFOLDS
KW  - CONTINUUM MECHANICS AND MECHANICS OF MATERIALS
KW  - CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-0-387-87460-9
ER  -