Micromechanics : overall properties of heterogeneous materials /

A comprehensive overview is given in this book towards a fundamental understanding of the micromechanics of the overall response and failure modes of advanced materials, such as ceramics and ceramic and other composites. These advanced materials have become the focus of systematic and extensive rese...

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Bibliographic Details
Main Authors: Nemat-Nasser, S
Corporate Authors: Elsevier Science & Technology
Group Author: Hori, M. Muneo
Published: North-Holland,
Publisher Address: Amsterdam ; New York :
Publication Dates: 1993.
Literature type: eBook
Language: English
Series: North-Holland series in applied mathematics and mechanics ; volume 37
Subjects:
Online Access: http://www.sciencedirect.com/science/bookseries/01675931/37
Summary: A comprehensive overview is given in this book towards a fundamental understanding of the micromechanics of the overall response and failure modes of advanced materials, such as ceramics and ceramic and other composites. These advanced materials have become the focus of systematic and extensive research in recent times. The book consists of two parts. The first part reviews solids with microdefects such as cavities, cracks, and inclusions, as well as elastic composites. To render the book self-contained, the second part focuses on the fundamentals of continuum mechanics, particularly linear
Carrier Form: 1 online resource (xx, 687 pages) : illustrations.
Bibliography: Includes bibliographical references and indexes.
ISBN: 9781483291512
1483291510
Index Number: TA418
CLC: TB301
Contents: Front Cover; Micromechanics: Overall Properties of Heterogeneous Materials; Copyright Page; PREFACE; Table of Contents; PART: OVERALL PROPERTIES OF HETEROGENEOUS SOLIDS; PREFACE TO PART 1; CHAPTER I. AGGREGATE PROPERTIES AND AVERAGING METHODS; SECTION 1. AGGREGATE PROPERTIES; 1.1. REPRESENTATIVE VOLUME ELEMENT ; 1.2. SCOPE OF THE BOOK; 1.3. DESCRIPTION OF RVE; 1.4. REFERENCES; SECTION 2. AVERAGING METHODS; 2.1. AVERAGE STRESS AND STRESS RATE; 2.2. AVERAGE STRAIN AND STRAIN RATE; 2.3. AVERAGE RATE OF STRESS-WORK; 2.4. INTERFACES AND DISCONTINUITIES; 2.5. POTENTIAL FUNCTION FOR MACRO-ELEMENTS.
2.7. nonmechanical properties2.8. references; chapter ii. elastic solids with microcavities and microcracks; section 3. linearly elastic solids; 3.1. hooke's law and material symmetry; 3.2. reciprocal theorem, superposition, and green'sfunction; 3.3. references; section 4. elastic solids with traction-free defects; 4.1. statement of problem and notation; 4.2. average strain for prescribed macrostress; 4.3. overall compliance tensor for porous elastic solids; 4.4. average stress for prescribed macrostrain; 4.5. overall elasticity tensor for porous elastic solids; 4.6. references.
Section 5. elastic solids with microcavities5.1. effective moduli of an elastic plate containing circular holes; 5.2. effective bulk modulus of an elastic body containing spherical cavities; 5.3. energy consideration and symmetry properties of tensorh; 5.4. cavity strain; 5.5. references; section 6. elastic solids with microcracks; 6.1. overall strain due to microcracks; 6.2. overall compliance and modulus tensors of homogeneous linearly elastic solids with microcracks; 6.3. effective moduli of an elastic solid containing aligned slit microcracks.
6.4. effective moduli of an elastic solid containing randomly distributed slit microcracks6.5. effective moduli of an elastic body containing aligned penny-shaped microcracks; 6.6. effective moduli of an elastic body containing randomly distributed penny-shaped microcracks; 6.7. effective moduli of an elastic body containing penny-shaped microcracks parallel to an axis; 6.8. interaction effects; 6.9. brittle failure in compression; 6.10. references; chapter iii. elastic solids with micro-inclusions; section 7. overall elastic modulus and compliance tensors; 7.1. macrostress prescribed.
7.2. macrostrain prescribed7.3. eigenstrain and eigenstress tensors; 7.4. estimates of overall modulus and compliance tensors: dilute distribution; 7.5. estimates of overall modulus and compliance tensors: self-consistent method; 7.6. energy consideration and symmetry of overall elasticity and compliance tensors; 7.7. references; section 8. examples of elastic solids with elastic micro-inclusions; 8.1. random distribution of spherical micro-inclusions; 8.2. effective moduli of an elastic plate containing aligned reinforcing-fibers.