Non-Classical Continuum Mechanics : Proceedings of the London Mathematical Society Symposium, Durham, July 1986
R. J. Knops
Bok Engelsk 1987 · Electronic books.
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| Utgitt | Cambridge : Cambridge University Press , 1987
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| Omfang | 1 online resource (349 p.)
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| Opplysninger | Description based upon print version of record.. - Cover; Title; Copyright; Foreword; Contents; PART I PRINCIPAL LECTURES; Pulse Reflection by a Random Medium; 1. Introduction; 2. Formulation and Scaling; 3. Statement of the main results; 4. Calculation of Power Spectral Density.; Appendix A. Limit Theorem for a Stochastic Differential Equation.; Acknowledgement; References; Shape Memory Alloys-Phenomenology and Simulation; 1 PHENOMENOLOGY; 2 THE MODEL; 3 Static Theory (Statistical Mechanics); 4 Kinetic Theory (Activated Processes); Acknowledgements and References; Relativistic Extended Thermodynamics; 1. INTRODUCTION. - 1. SETTING OF THE PROBLEM. - 2. THERMODYNAMIC PROCESSES3. PRINCIPLES OF THE CONSTITUTIVE THEORY; 4. RESULTS; 5. THE SPECTRUM OF PROPERTIES OF AN IDEAL GAS; Spectra of Singularly Perturbed Operators; ABSTRACT; 1. ASYMPTOTIC EXPANSIONS FOR EIGENVALUES AND EIGENFUNCTIONS OF THE STURM-LIOUVILLE PROBLEM WITH RAPIDLY OSCILLATING PERIOD COEFFICIENTS; 2. HOMOGENIZATION OF STRATIFIED STRUCTURES; 3 HOMOGENIZATION OF EIGENVALUES AND EIGENFUNCTIONS OF BOUNDARY VALUE PROBLEMS IN PERFORATED DOMAINS FOR ELLIPTIC EQUATIONS AND THE ELASTICITY SYSTEM WITH NON-UNIFORMLY OSCILLATING COEFFICIENTS. - 4 ON VIBRATION OF SYSTEMS WITH CONCENTRATED MASSES.REFERENCES; Conservation Laws in Continuum Mechanics; Preface.; 1. Conservation Laws of Partial Differential Equations.; 2. Symmetries and Noether's Theorem.; 3. Finite Elasticity.; 4. Linear Planar Elasticity.; References; On Geometric and Modeling Perturbations in Partial Differential Equations; I. INTRODUCTION; II GEOMETRIC AND MODELING ERRORS IN STANDARD PROBLEMS; Ill STABILIZING AGAINST GEOMETRICAL ERRORS IN ILL POSED PROBLEMS; IV CONTINUOUS DEPENDENCE ON MODELING: SOME EXAMPLES; BIBLIOGRAPHY. - Randomly Diluted Inhomogeneous Elastic Networks near the Percolation ThresholdAbstract; REFERENCES; Adaptive Anisotropy: An Example in Living Bone; Abstract; Introduction; Adaptive Anisotropy in Cancellous Bone Tissue; The Fabric Tensor for Cancellous Bone Tissue; The Relationship Between the Fabric Tensor and the Elasticity Tensor; Wolff's Law at Remodeling Equilibrium; ACKNOWLEDGEMENT; REFERENCES; Stability of Elastic Crystals; 1. INTRODUCTION; 2. VARIATIONAL PROBLEMS AND RELAXATION; REFERENCES; Optimal Bounds for Conduction in Two-Dimensional, Two-Phase, Anisotropic Media; INTRODUCTION. - The Appearance of Oscillations in Optimization Problems1 AN OPTIMAL DESIGN PROBLEM; 2 AN EASY MODEL PROBLEM; 3 A FEW GENERAL REMARKS ON MINIMIZATION PROBLEMS; 4 OPTIMAL DESIGN REVISITED; 5 CHARACTERIZATION OF ALL COMPOSITE MATERIALS; 6 SHARP NECESSARY CONDITIONS AND EXPLICIT SOLUTIONS; 7 CONCLUDING REMARKS; Acknowledgements.; Reference list.; PART II SINGLE INVITED LECTURES; Some Mathematical Problems Arising From the Oil Service Industry; 1 INTRODUCTION; 2 OIL WELL TESTING; 3 THE GENERATION OF AXIAL VIBRATIONS BY A ROLLER CONE BIT; REFERENCES. - This volume contains a selection of the invited papers presented at a LMS Durham Symposium on modern developments in non-classical continuum mechanics.
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| ISBN | 0521349354
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