This book, comprising two volumes, presents current research and original investigations in the theory of large cracks capable of propagating and initiating partial or complete fracture in deformable solids. The book covers a wide variety of problems relating to the behavior of bodies with cracks, and ranges from crack extension criteria to the solution of complex problems of fracture mechanics. Also, the authors consider critical and subcritical states of equilibrium under single, multiple, thermal and dynamic loadings in elastic, viscoelastic, elastic-plastic and piezoelectrical bodies with cracks. Experimental methods for the determination of crack-resistance characteristics of materials are exposed.
The first volume, which we present to the reader, is dedicated to the main criteria and methods of elastic and elastic-plastic fracture mechanics. Using real examples, the authors show the result of applying different fracture criteria for determining the critical and permissible length of a fracture under static or cyclic loadings. The second volume, published as a separate book, contains a systematic study of special problems of fracture mechanics.
The book is intended for scientists and practicing engineers working in the field of fracture mechanics and also for post-graduates and senior students specializing in solid mechanics and strength of machine parts.
Vladimir Zalmanovich Parton (1936-2001)
Prof. V.Z.Parton was Head of Department of Higher Mathematics at the Institute of Chemical Engineering of Moscow. He was a well-known specialist in elasticity theory and fracture mechanics. He was a co-author of the books "Mathematical methods of the theory of elasticity" (1981), "Dynamics of brittle fracture" (1988), as well as the author of "Fracture Mechanics: from theory to practice" (1990; second edition, URSS, 2007).
Evgenii Mikhailovich Morozov
Prof. E M.Morozov works at the Department of Strength Physics of the Moscow Institute of Physics and Engineering. He is a recognized specialist in fracture mechanics and strength of solid bodies. Also, he was one of the pioneers of fracture mechanics in Russia. Prof. Morozov received the award of the Council of Ministers of the Soviet Union and the title of Honoured Worker of Science of the Russian Federation. E. M. Morozov's name has been included in various Russian and English "Who's who" handbooks. He is the author of many books and manuals on fracture mechanics.
CHAPTER ONE. MECHANISMS OF CRACK FORMATION AND GROWTH
1. Fracture mechanics and strength of solid bodies
2. Stress and displacement fields in the vicinity of a crack tip
3. The Griffith-Orowan-Irwin concept. Steady and unsteady crack development
4. The integral variational principle in the crack theory
5. Modified Griffith criterion
6. Variation of the total energy of the system with small increments of the crack length
7. Model of a crack with a thin plastic zone (deltak-model)
8. Invariant J-integral
9. Invariant Ã-integrals
10. Conditions for local fracture of piezoelectrics (ÏÊ-criteria)
11. Some alternative criteria of crack development
CHAPTER TWO. STRESS INTENSITY FACTOR
12. The stress intensity factor as a fundamental characteristic of a crack containing material
13. Finite element approach in fracture mechanics
14. Method of the boundary integral equations in fracture mechanics
15. Examples of computation of stress intensity factors by both finite element method and method of boundary integral equation
16. Method of sections for an approximate calculation of the stress intensity factor
17. Some properties of materials characterizing resistance to crack propagation
CHAPTER THREE. CRACKS IN ELASTIC PLASTIC BODIES
18. Solutions of selected plane and three-dimensional problems
19. Torsion and tension of a cylinder containing an external annular crack
20. Structural means for crack arrests (stiffening ribs)
21. Structural methods for crack arrest (repair patches, load relief holes)
22. Crack systems
23. Composite elastic bodies
24. Methods of crack trajectory analysis
CHAPTER FOUR. CRACKS IN ELASTIC-PLASTIC BODIES
25. Experimental study of the plastic zone at the slit-crack tip
26. The plastic zone analysis
27. Critical state of crack-containing plane and space
28. Eastic-plastic problem for a plane containing rectilinear slits
29. Prior-to-critical crack growth
30. Low-cyclic fatigue life
31. Experimental results of single and cyclic loading
32. Life analysis of structural elements based on number of cycles
33. Toughness limit
34. Stress analysis based on the toughness limit
35. Examples of strength analysis with allowance for a crack
CHAPTER FIVE. CRACKS IN LINEAR VISCOELASTIC SOLIDS
36. Viscoelastic analogue to Griffith--Sack problems
37. Viscoelastic-plastic analogues to Griffith and Sack problems
38. Material sensitivity to rate and frequency of load application
39. Delayed fracture of polymer materials
40. Study of crack growth in polymers under tension
APPENDIX REFERENCES
SUPPLEMENTAL REFERENCES INDEX
Mechanics of Elastic-plastic Fracture: Special Problems of Fracture Mechanics
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