Theory of materials failure /

A complete and comprehensive theory of failure is developed for homogeneous and isotropic materials. The full range of materials types are covered from very ductile metals to extremely brittle glasses and minerals.

Bibliographic Details
Main Author:	Christensen, R. M. (Richard M.) (Author)
Format:	eBook
Language:	English
Language Notes:	This edition in English.
Published:	Oxford : Oxford University Press, ©2013.
Edition:	1st ed.
Series:	Engineering case studies online
Subjects:	Fracture mechanics. Materials > Deterioration. Materials > Analysis. Mécanique de la rupture. Matériaux > Détérioration. Matériaux > Analyse. TECHNOLOGY & ENGINEERING > Fracture Mechanics. Fracture mechanics Materials > Analysis Materials > Deterioration Electronic books. General reference.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Cover
Title Page
Copyright Page
Contents
Recognition
Technical Status and Challenges
Chapter 1 The Perspective on Failure and Direction of Approach
1.1 Materials Failure Problem
1.2 Direction and Scope
1.3 Guides for Utility
References
Chapter 2 History, Conditions, and Requirements
2.1 Historical Review
2.2 Conditions and Requirements of Study
References
Chapter 3 Isotropic Baselines
3.1 Failure Characterization
3.2 Stress versus Strain
3.3 Mises and Tresca Failure Criteria
3.4 Drucker-Prager Failure Criterion
3.5 Coulomb-Mohr Failure Criterion
3.6 The Bottom Line
References
Chapter 4 The Failure Theory for Isotropic Materials
4.1 Theoretical and Testing Problems
4.2 Properties or Parameters
4.3 The Organizing Principle
4.4 The Constitutive Equations of Failure, Part A: Polynomial-Invariants Criterion
4.5 The Constitutive Equations of Failure, Part B: Fracture Criterion
4.6 Ductile and Brittle Limits
4.7 Problem Sets Purpose
Problem Areas for Study
References
Chapter 5 Isotropic Materials Failure Behavior
5.1 Failure Behavior in Two Dimensions
5.2 Failure in Principal Stress Space
5.3 Ductile-versus-Brittle Failure
5.4 T and C versus S and D
Problem Areas for Study
References
Chapter 6 Experimental and Theoretical Evaluation
6.1 Evaluation Problem
6.2 Theoretical Assessment
6.3 Experimental Evaluation
6.4 Isotropy Conclusion
Problem Areas for Study
References
Chapter 7 Failure Theory Applications
7.1 Very Ductile Polymers
7.2 Brittle Polymers
7.3 Glasses
7.4 Ceramics
7.5 Minerals
7.6 Geo-Materials
Problem Areas for Study
References
Chapter 8 The Ductile/Brittle Transition for Isotropic Materials
8.1 Introduction
8.2 Conventional Difficulty with Characterizing Ductility.
8.3 The Ductile/Brittle Transition
8.4 The Failure Number for Gauging Ductility Levels
Problem Areas for Study
References
Chapter 9 Defining Yield Stress and Failure Stress (Strength)
9.1 Yield Stress and Strength as Historically and Currently Practiced
9.2 A Rational Definition of Yield Stress
9.3 A Rational Definition of Failure Stress
9.4 Significance and Conclusions
Problem Areas for Study
References
Chapter 10 Fracture Mechanics
10.1 Fracture Mechanics Development
10.2 The Two Distinct Failure Theories
10.3 Fracture Mechanics Example
10.4 Failure Criterion Example
10.5 Assessment
Problem Areas for Study
References
Chapter 11 Anisotropic Unidirectional Fiber Composites Failure
11.1 Transversely Isotropic Polynomial Invariants
11.2 The Matrix-Controlled Failure Criterion
11.3 The Fiber-Controlled Failure Criterion
11.4 Hashin Failure Criterion
11.5 Tsai-Wu Failure Criterion
11.6 Comparisons
Problem Areas for Study
References
Chapter 12 Anisotropic Fiber Composite Laminates Failure
12.1 Introduction
12.2 Progressive Damage in Laminates
12.3 Testing Results
12.4 Polynomial Invariants for Laminates
Problem Areas for Study
References
Chapter 13 Micromechanics Failure Analysis
13.1 General Considerations
13.2 Transverse Shear Strength for Aligned Fiber Composites
13.3 Spherical Inclusion in an Infinite Elastic Medium
13.4 Load Redistribution in Aligned Fiber Composites
Problem Areas for Study
References
Chapter 14 Nanomechanics Failure Analysis
14.1 Graphene Nanostructure
14.2 A Hypothetical Nanostructure
14.3 Comparison and Discussion
14.4 Are the Elements Ductile or Brittle?
14.5 A Ductility Scale for the Elements
Problem Areas for Study
References.
Chapter 15 Damage, Cumulative Damage, Creep and Fatigue Failure
15.1 Damage
15.2 Cumulative Damage
15.3 Four Models
15.4 Residual Strength
15.5 Life Prediction
15.6 Residual Life
15.7 Conclusion
Problem Areas for Study
References
Chapter 16 Probabilistic Failure and Probabilistic Life Prediction
16.1 Variability and Extreme Cases of Variability
16.2 Power-Law Failure Interpretation
16.3 Weibull Distribution Physical Basis
16.4 Kinetic Crack Theory and Life Prediction
16.5 Probabilistic Generalization of Strength and Lifetime Theory
Problem Areas for Study
References
Index.