Elsevier S & T

Damage Mechanics

Krajcinovic, D.

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Table of contents
  • Table of Contentsvii
  • Prefacev
  • Chapter 1. Introduction1
  • 1.1 Background and Motivation3
  • 1.2 Objective5
  • 1.3 Design Philosophy and Criteria6
  • 1.4 Definitions of Fundamental Concepts10
  • 1.5 Characteristic Lengths22
  • 1.6 Analytical Models25
  • 1.7 Organization of the Book29
  • Chapter 2. Statistical Models33
  • 2.1 Introduction33
  • 2.2 Failure Criteria41
  • 2.3 Parallel Bar Model55
  • 2.4 Lattices103
  • 2.5 Strength of Diluted Networks158
  • 2.6 Brittle to Quasi-Brittle Transition172
  • 2.7 Experimental Results185
  • 2.8 Application of Discrete Models187
  • 2.9 Summary and Conclusions216
  • Chapter 3. Micromechanical Models221
  • 3.1 Introduction221
  • 3.2 Thermodynamical Considerations233
  • 3.3 Relations Between Average Stress and Strain Fields246
  • 3.4 Effective Properties of an Elastic Solid Which Contains a Single Penny Shaped Crack252
  • 3.5 Effective Properties of a Damaged Elastic Solid: Dilute Concentration Limit258
  • 3.6 Effective Properties of a Damaged Elastic Solid: Elastic Percolation Limit312
  • 3.7 Effective Properties of a Damaged Elastic Solid: Cross-Over Regime355
  • 3.8 Process Models361
  • 3.9 Summary of Micromechanical Models408
  • 3.10 Conclusions410
  • Chapter 4. Continuum Models415
  • 4.1 Introduction415
  • 4.2 Microcrack Distribution424
  • 4.3 Damage Variable453
  • 4.4 Scalar Models456
  • 4.5 Rate Theory of Brittle Deformation Processes485
  • 4.6 Brittle-Ductile Deformation Processes - A Finite Strain Rate Theory516
  • 4.7 Failure Modes576
  • 4.8 Summary and Conclusions599
  • Chapter 5. Summary and Conclusions603
  • 5.1 Thermodynamic State604
  • 5.2 Change of Thermodynamic State607
  • 5.3 Conclusions611
  • Appendices617
  • Appendix A. Percolation Theory617
  • Appendix B. Percolation Threshold632
  • Appendix C. Multifractal Formalism651
  • Appendix D. Self-Similarity and Scaling Laws665
  • Appendix E. Hooke's Law and Material Symmetries674
  • Appendix F. Molecular Dynamics680
  • Referenced Literature687
  • Author's Index739
  • Subject Index753
Book details
  • Vendor Elsevier S & T
  • SKU 9780444823496
  • ISBN-13 9780080530246
  • Author Krajcinovic, D.
  • Category Technology & Engineering
  • Subject Mechanical

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This book provides the first truly comprehensive study of damage mechanics. All concepts are carefully identified and defined in micro- and macroscopic scales. In terms of the methods and observation scales, the main part of the book is divided into three chapters. These chapters consider the stochastic models applied to atomistic scale, micromechanical models (for arbitary concentrations of defects) on microscopic scale and continuum models on the macroscopic scale. It is intended for people who are doing or planning to do research in the mechanics and material science aspects of brittle deformation of solids with heterogeneous microstructure.