Analysis and approximation of contact problems with adhesion or damage. (2006)

• Record Type: Book
• Further Information: Note: Mircea Sofonea, Weimin Han, Meir Shillor.
• Other Names: Sofonea, Mircea; Han, Weimin; Shillor, M (Meir)
• Contents: Preface; List of Symbols; Modeling and Mathematical Background ; Basic Equations and Boundary Conditions ; Physical Setting and Evolution Equations; Boundary Conditions; Contact Processes with Adhesion; Constitutive Equations with Damage; Preliminaries on Functional Analysis ; Function Spaces and Their Properties; Elements of Nonlinear Analysis; Standard Results on Variational Inequalities and Evolution Equations; Elementary Inequalities; Preliminaries on Numerical Analysis ; Finite Difference and Finite Element Discretizations; Approximation of Displacements and Velocities; Estimates on the Discretization of Adhesion Evolution; Estimates on the Discretization of Damage Evolution; Estimates on the Discretization of Viscoelastic Constitutive Law; Estimates on the Discretization of Viscoplastic Constitutive Law; Frictionless Contact Problems with Adhesion ; Quasistatic Viscoelastic Contact with Adhesion ; Problem Statement; Existence and uniqueness; Continuous Dependence on the Data; Spatially Semidiscrete Numerical Approximation; Fully Discrete Numerical Approximation; Dynamic Viscoelastic Contact with Adhesion ; Problem Statement; Existence and Uniqueness; Fully Discrete Numerical Approximation; Quasistatic Viscoplastic Contact with Adhesion ; Problem Statement; Existence and Uniqueness for the Signorini Problem; Numerical Approximation for the Signorini Problem; Existence and Uniqueness for the Problem with Normal Compliance; Numerical Approximation of the Problem with Normal Compliance; Relation between the Signorini and Normal Compliance Problems; Contact Problems with Damage ; Quasistatic Viscoelastic Contact with Damage ; Problem Statement; Existence and Uniqueness; Fully Discrete Numerical Approximation; Dynamic Viscoelastic Contact with Damage ; Problem Statement; Existence and Uniqueness; Fully Discrete Numerical Approximation; Quasistatic Viscoplastic Contact with Damage ; Problem Statement; Existence and Uniqueness for the Signorini Problem; Numerical Approximation for the Signorini Problem; Existence and Uniqueness for the Problem with Normal Compliance; Numerical Approximation of the Problem with Normal Compliance; Relation between the Signorini and Normal Compliance Problems; Notes, Comments, and Conclusions ; Bibliographical Notes, Problems for Future Research, and Conclusions; Bibliographical Notes; Problems for Future Research; Conclusions; References ; Index
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2006
• Extent: 1 online resource (xviii, 220 pages)
• Subjects: 620.1/05; Contact mechanics -- Mathematical models; TECHNOLOGY & ENGINEERING -- Material Science; Contact mechanics -- Mathematical models; Electronic books
• Languages: English
• ISBNs: 1420034839; 9781420034837; 9781584885856; 1584885858
• Related ISBNs: 1584885858
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.