Continuum Mechanics Modeling of Material Behavior

by Martin H. Sadd Ph.D.

Overview

Continuum Mechanics Modeling of Material Behavior offers a uniquely comprehensive introduction to topics like RVE theory, fabric tensor models, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Contemporary continuum mechanics research has been moving into areas of complex material microstructural behavior. Graduate students who are expected to do this type of research need a fundamental background beyond classical continuum theories. The book begins with several chapters that carefully and rigorously present mathematical preliminaries: kinematics of motion and deformation; force and stress measures; and general principles of mass, momentum and energy balance.

The book then moves beyond other books by dedicating several chapters to constitutive equation development, exploring a wide collection of constitutive relations and developing the corresponding material model formulations. Such material behavior models include classical linear theories of elasticity, fluid mechanics, viscoelasticity and plasticity. Linear multiple field problems of thermoelasticity, poroelasticity and electoelasticity are also presented. Discussion of nonlinear theories of solids and fluids, including finite elasticity, nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic materials are also given. Finally, several relatively new continuum theories based on incorporation of material microstructure are presented including: fabric tensor theories, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics.

Product Details

ISBN-13:	9780128114742
Publisher:	Elsevier Science
Publication date:	03/28/2018
Pages:	432
Product dimensions:	7.50(w) x 9.25(h) x (d)

About the Author

Martin H. Sadd is Professor Emeritus of Mechanical Engineering at the University of Rhode Island. He received his Ph.D. in mechanics from the Illinois Institute of Technology and began his academic career at Mississippi State University. In 1979 he joined the faculty at Rhode Island and served as department chair from 1991 to 2000. Professor Sadd’s teaching background is in the area of solid mechanics with emphasis in elasticity, continuum mechanics, wave propagation, and computational methods. He has taught elasticity at two academic institutions, in several industries, and at a government laboratory. Professor Sadd’s research has been in computational modeling of materials under static and dynamic loading conditions using finite, boundary, and discrete element methods. Much of his work has involved micromechanical modeling of geomaterials including granular soil, rock, and concretes. He has authored more than 75 publications and has given numerous presentations at national and international meetings.

Table of Contents

1. Introduction
2. Mathematical Preliminaries
3. Kinematics of Motion and Deformation Measures
4. Force and Stress
5. General Conservation or Balance Laws
6. Constitutive Relations and Formulation of Classical Linear Theories of Solids and Fluids
7. Constitutive Relations and Formulation of Theories Involving Multiple Constitutive Fields
8. General Constitutive Relations and Formulation of Nonlinear Theories of Solids and Fluids
9. Constitutive Relations and Formulation of Theories Incorporating Material Microstructure

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From the Publisher

Concise presentation of the basic formulations, classical theories and recent applications of multi-phase, multi-field and multi-length scale material behavior