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9780521349352

Non-Classical Continuum Mechanics: Proceedings of the London Mathematical Society Symposium, Durham, July 1986

by
  • ISBN13:

    9780521349352

  • ISBN10:

    0521349354

  • Format: Paperback
  • Copyright: 1987-09-25
  • Publisher: Cambridge University Press

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Summary

This volume contains a selection of the invited papers presented at a LMS Durham Symposium on modern developments in nonclassical continuum mechanics. A major aim was to bring together workers in both the abstract and practical aspects of the subject in order to achieve enhanced appreciation of each others' approach and hence of the mathematical techniques and physical intuition essential for successful research in this field. As a result, the present collection consists of a series of concise articles which are introductions to, and succinct accounts of, current activity in many branches of non-classical continuum mechanics. Research workers in applied mathematics, physics, theoretical mechanics, and structural and aeronautical engineering will find much of interest in this collection.

Table of Contents

Principal Lectures
Pulse Reflection by a Random Medium
Shape Memory Alloys-Phenomenology and Simulation
Relativistic Extended Thermodynamics
Spectra of Singularly Perturbed Operators
Conservation Laws in Continuum Mechanics
On Geometric and Modeling Perturbations in Partial Differential Equations
The Appearance of Oscillations in Optimization Problems
Single Invited Lectures
Some Mathematical Problems Arising From the Oil Service Industry
Randomly Diluted Inhomogeneous Elastic Networks near the Percolation Threshold
Adaptive Anisotropy: An Example in Living Bone
Stability of Elastic Crystals
Optimal Bounds for Conduction in Two-Dimensional, Two-Phase, Anisotropic Media
Rapid Flows of Granular Materials
The Constrained Least Gradient Problem
The Fusion of Physical and Continuum-Mechanical Concepts in the Formulation of Constitutive Relations for Elastic-Plastic Materials
Singularities in Elliptic Non-Smooth Problems. Applications to Elasticity
Solitons in Elastic Solids Exhibiting Phase Transitions
On the Dynamics of Structural Phase Transitions in Shape Memory Alloy
On the Homogenization of Some Free Boundary Problems
The Point Interaction Approximation, Viscous Flow Through Porous Media, and Related Topics
The Vanishing Viscosity-Capillarity Approach to The Riemann Problem for a Van Der Waals Fluid
Table of Contents provided by Publisher. All Rights Reserved.

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