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Principles of Fracture Mechanics
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In this paper, the authors present a comprehensive overview of brittle fracture mechanics and their application in the design of fracture-tolerant materials.Most chapters include an Introduction, Summary, References and Exercises.Abstract:
Most chapters include an Introduction, Summary, References and Exercises. 1. Introduction to Fracture Mechanics. Historical Overview of Brittle Fracture. Elementary Brittle-Fracture Theories. Crack Extension Behavior. 2. Elements of Solid Mechanics. Concepts of Stress and Strain. Equations of Elasticity in Cartesian Coordinates. Equations of Elasticity in Polar Coordinates. Solution of the Biharmonic Equation. The Problem of the Elliptical Hole. 3. Elasticity of Singular Stress Fields. Overview. The Williams Problems. The Generalized Westergaard Approach. The Central Crack Problem. Single-Ended Crack Problems. The Effect of Finite Boundaries. Determining the Geometric Stress Intensity Factor. The Three-Dimensional Crack Problem. 4. Numerical Methods for K Determination. Boundary Collocation. The Finite Element Method. 5. Experimental Methods for K Determination. Overview. Classical Photoelesatic Methods. The Method of Caustics. Strain Gages. Multi-Parameter Full-Field Methods: Local Collocation. Interference Patterns. Moire Patterns. Photoelasticity. 6. A Stress Field Theory of Fracture. The Critical Stress-State Criterion. Crack-Tip Plasticity. The Effect of Variables on Fracture Toughness. R-Curves. 7. The Energy of Fracture. Griffith's Theory of Brittle Fracture. A Unified Theory of Fracture. Compliance. 8. Fracture Toughness Testing. Fracture Toughness Standards. Nonstandard Fracture-Toughness Tests. 9. Fatigue. Stages of Fatigue Crack Growth. Mathematical Analysis of Stage II Crack Growth. The Effects of Residual Stress on Crack Growth Rates. Life Prediction Computer Programs. Measuring Fatigue Properties: ASTM. 10. Designing against Fracture. Fracture Mechanics in Conventional Design. The Role of NDE in Design. U.S. Air Force Damage-tolerant Design Methodology. Designing by Hindsight: Case Studies. 11. Elastoplastic Fracture. Nonlinear Elastic Behavior. Characterizing Elastoplastic Behavior. Comments on the J-Integral in Elastoplastic Fracture Mechanics. Appendix A: Comprehensive Exercises. General Comments. Appendix B: Complex Variable Method in Elasticity. Complex Numbers. Complex Functions. Appendix C: An Abbreviated Compendium of Westergaard Stress Functions. Appendix D: Fracture Properties of Engineering Materials. Appendix E: NASGRO 3.0 Material Constants for Selected Materials. Index.read more
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Journal ArticleDOI
An Energy-Based Approach in Predicting Failure of the Glazing Systems Subjected to Blast Loads
TL;DR: In this paper, the authors studied the glass failure dynamics using energy methods and brittle failure theories combined with finite element simulations and techniques, and employed explicit nonlinear finite element methods with analytical energy methods to model the brittle failure of conventional building glazing systems.
Proceedings ArticleDOI
Hydraulic Fracture Propagation Modeling in a Homogeneous Elastic Media with Leakoff
Dissertation
Characterization of Nonlinear Material Damage Behavior Using Vibration Response Functions
TL;DR: This paper presents a meta-modelling framework that automates the very labor-intensive and therefore time-heavy and therefore expensive process of modeling damage in the discrete-time domain.
Journal ArticleDOI
The construction of a model of the growth of a defect for finite strains : Non-local criteria
TL;DR: In this paper, a model of the growth of a defect (an inclusion or cracks of non-zero opening) is presented, where the axiomatic of the mechanics of a deformable solid is used, as well as the idea of a zone of pre-existing imperfection as part of the body.
On the plastic zone size and shape dependence on the nominal stress in fracture mechanics
TL;DR: In this paper, it is verified that the traditional estimates of the position of the elastoplastic border significantly underestimate the influence of the nominal stress on the stress field, and it is worthwhile to generate better estimates ahead for the plastic zones of the cracks, which are presented in this work.