Aboudi Mechanics of Composite Materials

A Unified Micromechanical Approach
1. Auflage 2013
ISBN: 978-1-4832-9099-7
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band Volume 29, 341 Seiten, Web PDF

Reihe: Studies in Applied Mechanics

In the last decade the author has been engaged in developing a micromechanical composite model based on the study of interacting periodic cells. In this two-phase model, the inclusion is assumed to occupy a single cell whereas the matrix material occupies several surrounding cells. A prominent feature of the micromechanical method of cells is the transition from a medium, with a periodic microstructure to an equivalent homogeneous continuum which effectively represents the composite material. Of great importance is the significant advantage of the cells model in its capability to analyze elastic as well as nonelastic constituents (e.g. viscoelastic, elastoplastic and nonlinear elastic), thus forming a unified approach in the prediction of the overall behaviour of composite material. This book deals almost exclusively with this unified theory and its various applications.

Jacob Aboudi is a Professor Emeritus at the School of Mechanical Engineering, Tel Aviv University, Israel. He was formerly Head of the University's Department of Solid Mechanics, Materials and Structures, and Dean of their Faculty of Engineering. He has held visiting appointments at the University of Strathclyde,?Northwestern?University, Virginia Tech, and the University of Virginia, and has over 45 years of research experience. He has written over 300 journal articles and 2 prior books.

Autoren/Hrsg.

Aboudi, Jacob

Inhaltsverzeichnis

1;Front Cover;1
2;Mechanics of Composite Materials: A Unified Micromechanical Approach;4
3;Copyright Page;5
4;Table of Contents;10
5;Dedication;6
6;Preface;8
7;CHAPTER 1. FUNDAMENTALS OF THE MECHANICS OF COMPOSITES;14
7.1;1.1 INTRODUCTION;14
7.2;1.2 REPRESENTATIVE VOLUME ELEMENT;16
7.3;1.3 VOLUMETRIC AVERAGING;17
7.4;1.4 HOMOGENEOUS BOUNDARY CONDITIONS;17
7.5;1.5 AVERAGE STRAIN THEOREM;17
7.6;1.6 AVERAGE STRESS THEOREM;19
7.7;1.7 EFFECTIVE ELASTIC MODULI;20
7.8;1.8 RELATIONS BETWEEN AVERAGES - DIRECT APPROACH;21
7.9;1.9 RELATIONS BETWEEN AVERAGES - ENERGY APPROACH;23
7.10;REFERENCES;26
8;CHAPTER 2. BASIC MODELS IN THE MECHANICS OF COMPOSITES;27
8.1;2.1 INTRODUCTION;27
8.2;2.2 THE VOIGT APPROXIMATION;28
8.3;2.3 THE REUSS APPROXIMATION;28
8.4;2.4 HILL'S THEOREM;29
8.5;2.5 THE DILUTE APPROXIMATION;31
8.6;2.6 THE COMPOSITE SPHERES MODEL;34
8.7;2.7 THE SELF-CONSISTENT SCHEME;35
8.8;2.8 THE GENERALIZED SELF-CONSISTENT SCHEME;37
8.9;2.9 THE DIFFERENTIAL SCHEME;39
8.10;2.10 THE MORI-TANAKA THEORY;41
8.11;2.11 ESHELBY EQUIVALENT INCLUSION METHOD;45
8.12;REFERENCES;47
9;CHAPTER 3. THE MICROMECHANICAL METHOD OF CELLS;48
9.1;3.1 INTRODUCTION;48
9.2;3.2 THE METHOD OF CELLS FOR FIBER-REINFORCED MATERIALS;49
9.3;3.3 COEFFICIENTS OF THERMAL EXPANSION;79
9.4;3.4 HILL'S RELATIONS;84
9.5;3.5 THERMAL CONDUCTIVITIES;84
9.6;3.6 SPECIFIC HEATS;86
9.7;3.7 THE METHOD OF CELLS FOR SHORT-FIBER COMPOSITES;89
9.8;3.8 RANDOMLY REINFORCED MATERIALS;108
9.9;3.9 PERIODICALLY BILAMINATED MATERIALS;120
9.10;3.10 CONCLUSIONS;122
9.11;REFERENCES;124
10;CHAPTER 4. STRENGTH AND FATIGUE FAILURE;125
10.1;4.1 INTRODUCTION;125
10.2;4.2 MICROMECHANICS PREDICTION OF COMPOSITE FAILURE;126
10.3;REFERENCES;135
11;CHAPTER 5. VISCOELASTIC BEHAVIOR OF COMPOSITES;137
11.1;5.1 INTRODUCTION;137
11.2;5.2 LINEARLY VISCOELASTIC COMPOSITES;137
11.3;5.3 THERMOVISCOELASTIC BEHAVIOR OF COMPOSITES;148
11.4;5.4 NONLINEAR VISCOELASTIC BEHAVIOR OF COMPOSITES;167
11.5;REFERENCES;177
12;CHAPTER 6. NONLINEAR BEHAVIOR OF RESIN MATRIX COMPOSITES;178
12.1;6.1 INTRODUCTION;178
12.2;6.2 MACROMECHANICAL ANALYSIS;179
12.3;6.3 MICROMECHANICAL ANALYSIS;181
12.4;REFERENCES;190
13;CHAPTER 7. INITIAL YIELD SURFACES OF METAL MATRIX COMPOSITES;191
13.1;7.1 THE INITIATION OF YIELDING IN ISOTROPIC MATERIALS;191
13.2;7.2 INITIAL YIELDING OF METAL MATRIX COMPOSITES;193
13.3;7.3 INVESTIGATION OF THE CONVEXITY OF INITIAL YIELD SURFACES;211
13.4;REFERENCES;225
14;CHAPTER 8. INELASTIC BEHAVIOR OF METAL MATRIX COMPOSITES;226
14.1;8.1 INTRODUCTION;226
14.2;8.2 CONSTITUTIVE EQUATIONS OF PLASTICITY;227
14.3;8.3 UNIFIED THEORIES OF VISCOPLASTICITY;228
14.4;8.4 BODNER-PARTOM VISCOPLASTIC EQUATIONS;229
14.5;8.5 INELASTIC BEHAVIOR OF LAMINATED MEDIA;238
14.6;8.6 INELASTIC BEHAVIOR OF FIBROUS COMPOSITES;243
14.7;8.7 MATRIX MEAN-FIELD AND LOCAL-FIELD;258
14.8;8.8 SUBSEQUENT YIELD SURFACES PREDICTION OF METAL MATRIX COMPOSITES;266
14.9;8.9 METAL MATRIX COMPOSITE LAMINATES;274
14.10;8.10 SHORT-FIBER METAL-MATRIX COMPOSITES;292
14.11;REFERENCES;295
15;CHAPTER 9. IMPERFECT BONDING IN COMPOSITES;297
15.1;9.1 INTRODUCTION;297
15.2;9.2 GENERAL CONSIDERATIONS;299
15.3;9.3 THE FLEXIBLE INTERFACE IMPERFECT BONDING MODEL;305
15.4;9.4 PERIODICALLY BILAMINATED MATERIALS;306
15.5;9.5 FIBER-REINFORCED MATERIALS;311
15.6;9.6 SHORT-FIBER AND PARTICULATE COMPOSITES;323
15.7;9.7 THE COULOMB FRICTIONAL LAW FOR THE MODELING OF INTERFACIAL DAMAGE IN COMPOSITES;327
15.8;REFERENCES;335
16;INDEX;336