Problems of dynamic fracture mechanics without contact of the crack faces
The basic principles of the fracture mechanics of solids containing cracks are set forth in the fundamental works of Griffith and Irwin (GI), in which energy and force criteria are formulated for the fracture of brittle and quasibrittle solids with cracks. In this survey the authors refer to the fracture mechanics of deformable solids containing cracks, based on the concepts of GI as classical fracture mechanics. Today classical (static) fracture mechanics is formulated primarily as the science of the strength and fracture of solids. In this area the basic criteria of fracture have been formulated, mathematical models (analytical and numerical) have been developed, and solutions have been obtained for various problems of theoretical and practical importance. Significantly fewer reliable facts, established criteria, and solved problems are found in dynamic fracture mechanics. The category of problems tractable by dynamic fracture mechanics is considerably broader in scope. In problems of this kind it is necessary to take into account the inertia of the material due to the effects of dynamic loading and (or) crack propagation. It is required to solve dynamic elasticity problems in the presence of additional boundary conditions at the crack front. These additional boundary conditions are fracture criteria. The formulation of such criteria is one of the most complicated problems of dynamic fracture mechanics. It includes the formulation of criteria of the initiation, movement, branching, and arrest of cracks, as well as the determination of the law governing the motion of transient cracks. In this, the first part, the authors discuss the results obtained in dynamic fracture mechanics without regard for contact interaction of the crack faces, including problems of the dynamic fracture mechanics of initially stressed materials. In the second part they give results obtained by dynamic fracture mechanics with contact interaction of the crack faces taken into account.
- OSTI ID:
- 379119
- Journal Information:
- International Applied Mechanics, Journal Name: International Applied Mechanics Journal Issue: 10 Vol. 30; ISSN IAMEEU; ISSN 1063-7095
- Country of Publication:
- United States
- Language:
- English
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