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 second volume, which we present to the reader, contains a systematic study of special problems of fracture mechanics, among which are the effects of hydrogen-containing environment, the corrosion in presence of electromagnetic fields, thermal and dynamical loadings, electromagnetic interaction in piezoelectrical bodies, and others. The solution of these problems is entailed with considerable mathematical difficulties. For this reason, a high level of mathematical knowledge is required. The first volume, published as a separate book, contains the main criteria and methods of elastic and elastic-plastic 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.
FOREWORD
CHAPTER SIX. ENVIRONMENTAL EFFECTS UPON CRACK GROWTH
41. Crack growth in metals affected by hydrogen
42. Effects of corrosive environment on crack resistance of steel and alloys
CHAPTER SEVEN. THERMAL PROBLEMS IN FRACTURE MECHANICS
43. Principal relations of the theory of heat conduction and thermoelasticity of bodies with cracks
44. Reduction of problems of heat conduction and thermoelasticity to integral equations
45. Thermoelastic state of a body with strip-shaped and penny-shaped cracks
46. Axisymmetric thermoelastic problem for a cylinder with a cut
47. Quasi-stationary problem of thermoelasticity for a plane containing semi-infinite and infinite slits
CHAPTER EIGHT. MECHANICS OF FRACTURE IN PRESENCE OF ELECTROMAGNETIC FIELDS
48. Arbitrarily oriented crack in piezoelectric media
49. Composite bodies. A crack on the interface between the piezoelectric and elastic conductor
50. Piezoelectric medium containing a crack in the plane of symmetry
CHAPTER NINE. DYNAMIC PROBLEMS OF FRACTURE MECHANICS
51. Variation equation for solutions of dynamic problems in fracture mechanics
52. Velocity of post-critical crack propagation
53. Maximum principle in the crack theory
54. Post-critical propagation velocity in a strip under tension
APPENDIX REFERENCES
SUPPLEMENTAL REFERENCES INDEX