Functional and numerical methods in viscoplasticity
著者
書誌事項
Functional and numerical methods in viscoplasticity
(Oxford mathematical monographs)
Oxford University Press, 1993
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This book presents some mathematical methods used in the study of initial and boundary problems for Bingham fluids and rate-depedent viscoplasticity. Existence and uniqueness results are presented and the behaviour of the solution with respect to the data is also studied. For some problems, the numerical approximation of the solution is also given and numerical results are presented. Elliptic variational inequalities, convex functions, monotone operators,
semigroups of operators, and nonlinear evolution equations are used as mathematical instruments. The book presents a sudy of some problems of viscoplasticity using various and different mathematical methods, the mathematical results are interpreted from a mathematical point of view, and the theory is
developed to deal with numerical results from possible applications in industry and technology.
目次
- CHAPTER 1. PRELIMINARIES ON MECHANICS OF CONTINUOUS MEDIA
- CHAPTER 2. FUNCTIONAL SPACES IN VISCOPLASTICITY
- CHAPTER 3. QUASISTATIC PROCESSES FOR RATE-TYPE VISCOPLASTIC MATERIALS
- CHAPTER 4. DYNAMIC PROCESSES FOR RATE-TYPE ELASTIC-VISCOPLASTIC MATERIALS
- CHAPTER 5. THE FLOW OF THE BINGHAM FLUID WITH FRICTION
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