Metals and Metal Matrix Composites With an Introduction to Fabric Tensors.
George Z Voyiadjis
Burlington
Elsevier Science
2010
(741 pages)
Front Cover; Title Page; Copyright Page; Table of Contents; Preface to the Second Edition; Preface to the First Edition; Chapter 1: Introduction; 1.1 Brief History of Continuum Damage Mechanics; 1.2 Finite-Strain Plasticity; 1.3 Mechanics of Composite Materials; 1.4 Scope of the Book; 1.5 Notation; PART I: Isotropic Damage Mechanics --; Scalar Formulation; Chapter 2: Uniaxial Tension in Metals; 2.1 Principles of Continuum Damage Mechanics; 2.2 Assumptions and The Equivalence Hypothesis; 2.3 Damage Evolution; 2.4 Separation of Damage due to Cracks and Voids. Chapter 3: Uniaxial Tension in Elastic Metal Matrix Composites3.1 Stresses; 3.2 Strains; 3.3 Constitutive Relations; 3.4 Damage Evolution; Chapter 4: Uniaxial Tension in Elasto-Plastic Metal Matrix Composites: Vector Formulation of the Overall Approach; 4.1 Preliminaries; 4.2 Effective Stresses and the Yield Function; 4.3 Effective Strains and the Flow Rule; 4.4 Effective Constitutive Relation; 4.5 Stresses in the Damage Composite System; 4.6 Damage Evolution; 4.7 Elastic Constitutive Relation in the Damaged Composite System. 4.8 Elasto-Plastic Constitutive Relation in the Damaged Composite System4.9 Numerical Implementation --; Example; PART II: Anisotropic Damage Mechanics --; Tensor Formulation; Chapter 5: Damage and Elasticity in Metals; 5.1 General States of Damage; 5.2 Damage Evolution; 5.3 Finite Element Formulation; 5.4 Application to Ductile Fracture --; Example; Chapter 6: Damage and Plasticity in Metals; 6.1 Stress Transformation Between Damaged and Undamaged States; 6.1.1 Effective Stress Tensor; 6.1.2 Effective Backstress Tensor; 6.2 Strain Rate Transformation Between Damaged and Undamaged States. 6.2.1 Effective Elastic Strain6.2.2 Effective Plastic Strain Rate; 6.3 The Damage Effect Tensor M; 6.4 Constitutive Model; 6.4.1 Damage Evolution; 6.4.2 Plastic Deformation; 6.4.3 Coupling of Damage and Plastic Deformation; 6.5 Application to Void Growth --; Gurson's Model; 6.6 Effective Spin Tensor; 6.7 Application to Ductile Fracture --; Example; Chapter 7: Metal Matrix Composites --; Overall Approach; 7.1 Preliminaries; 7.2 Characterization of Damage; 7.3 Yield Criterion and Flow Rule; 7.4 Kinematic Hardening in the Damaged Composite System; 7.5 Constitutive Model. Chapter 8: Metal Matrix Composites --; Local Approach8.1 Assumptions; 8.2 Stress and Strain Concentration Factors; 8.3 Matrix and Fiber Damage Analysis; 8.4 Yield Criterion and Flow Rule; 8.5 Kinematic Hardening; 8.6 Constitutive Model; Chapter 9: Equivalence of the Overall and Local Approaches; 9.1 Elastic Behavior of Composites; 9.1.1 Overall Approach; 9.1.2 Local Approach; 9.1.3 Equivalence of the Two Approaches; 9.2 Plastic Behavior of Composites; 9.2.1 Overall Approach; 9.2.2 Local Approach; 9.2.3 Equivalence of the Two Approaches. Chapter 10: Metal Matrix Composites --; Local and Interfacial Damage.
The book presents the principles of Damage Mechanics along with the latest research findings. Both isotropic and anisotropic damage mechanisms are presented. Various damage models are presented coupled with elastic and elasto-plastic behavior. The book includes two chapters that are solely dedicated to experimental investigations conducted by the authors. In its last chapter, the book presents experimental data for damage in composite materials that appear in the literature for the first time.· Systematic treatment of damage mechanics in composite materials· Includes special and advanced topics· Includes basic principles of damage mechanics· Includes new experimental data that appears in print for the first time· Covers both metals and metal matrix composite materials· Includes new chapters on fabric tensors· Second edition includes four new chapters.