Problems of Mixed Mode Crack Propagation

ISBN-13: 9789400961913 / Angielski / Miękka / 2011 / 204 str.

E. E. Gdoutos

Opis

This is not just another book on fracture mechanics. In recent years, there have been many books published on this subject in an attempt to assess the state of the art and its applications. The majority of the work dealt with energy release rate or critical stress intensity factor and is applicable only to fracture toughness testing. The main reason for this restriction is that the energy release concept cannot easily be extended to mixed mode fracture that occurs in practice as the rule rather than the exception. Cracks will normally curve or turn because the direction of loading can change as a function of time. Their directions of growth cannot be assumed as an a priori and must be determined from a pre-assumed criterion. Analysts are still perplexed with selecting an appropriate fracture criterion because it requires much discernment and judgement. Criteria which often appeared valid for idealized situations are quickly dis credited when encountering more complex physical phenomena. Moreover, the claim of generality cannot be justified on the basis of agreement between theory and experiment for a few simple examples."

Spis treści

1. The strain energy density criterion.- 1.1. Introductory remarks.- 1.2. The strain energy density concept.- 1.3. Basic hypotheses of the theory.- 1.4. Fracture trajectories.- References.- 2. The general two-dimensional crack problem.- 2.1. Introduction.- 2.2. Strain energy density theory for the two-dimensional crack problem.- 2.3. The infinite plate with an inclined crack under uniform uniaxial stress.- 2.4. Finite width effects on the crack extension angle.- 2.5. The cracked plate subjected to a concentrated force or moment.- References.- 3. Branched cracks.- 3.1. Introduction.- 3.2. The symmetrically branched crack.- 3.3. The asymmetrically branched crack.- 3.4. The bent crack.- 3.5. Crack branches emanating from an elliptical crack.- References.- 4. Interacting cracks.- 4.1. Introduction.- 4.2. Two equal skew-parallel cracks.- 4.3. Two equal symmetrically inclined cracks.- 4.4. Two equal inclined cracks.- 4.5. X-formed arrays of cracks.- References.- Chapters 5. Arc-shaped cracks.- 5.1. Introduction.- 5.2. The circular crack under uniform stress.- 5.3. A periodic array of circular cracks.- 5.4. A star-shaped array of circular cracks.- References.- 6. Cracks emanating from holes and rigid inclusions.- 6.1. Introduction.- 6.2. Two equal cracks emanating from a circular hole.- 6.3. An array of surface cracks emanating from a circular hole.- 6.4. Fracture of a plate with a rigid inclusion having cuspidal points.- 6.5. Fracture of a plate with a rigid fiber inclusion.- References.- 7. Composite materials.- 7.1. Introduction.- 7.2. A bimaterial plate with a crack arbitrarily oriented to the interface.- 7.3. A three-layered composite with cracks.- 7.4. A bimaterial plate with a circular crack.- 7.5. A bimaterial plate with a crack along the interface.- 7.6. Interaction between a crack and a circular inclusion.- References.- 8. Plates and shells.- 8.1. Introduction.- 8.2. A cracked bent plate with an inclined crack.- 8.3. A cracked cylindrical shell with semispherical heads.- References.- 9. Three-dimensional crack problems.- 9.1. Introduction.- 9.2. The elliptical crack.- References.- Author index.