Fracture of quasibrittle materials such as concrete, rock, ice, tough ceramics and various fibrous or particulate composites, exhibits complex size effects. An asymptotic theory of scaling governing these size effects is presented, while its extension to fractal cracks is left to a companion paper [1] which follows. The energy release from the structure is assumed to depend on its size D, on th...

Analytical integrations, in the framework of linear elastic problems modelled by means of boundary integral equations, have been considered in a previous publication (Int. J. Numer. Methods Eng. 2002; 53(7):1695–1719): the present note aims at extending the subject to linear elastic fracture mechanics. In such a context, special shape functions have been recently proposed (SIAM J. Appl. Math. 1...

In this paper, we’ll answer several abstract, formal questions about the nature of crack growth and nucleation. Bringing a field theory point of view to fracture illuminates things in what I hope will be an entertaining way. Formally, what is the crack nucleation rate? Fracture is an instability of elastic theory under tension. For thermally nucleated cracks, there is an analogy with supercoole...

We study a class of models for brittle fracture: elastic theory models that allow for cracks but not for plastic flow. We show that these models exhibit, at all finite temperatures, a transition to fracture under applied load similar to the first-order liquid-gas transition. We study this transition at low temperature for small tension. Using the complex variable method in a two-dimensional ela...

Metallic glasses are amorphous materials that possess unique mechanical properties, such as high tensile strengths and good fracture toughnesses. Also, since they are amorphous, metallic glasses exhibit a glass transition, and at temperatures above this glass transition, they soften dramatically and are therefore amenable to net-shape thermoplastic forming processes. This combination of superio...

This paper proposes a method for quantitative integration of seismic (elastic) anisotropy attributes with reservoir performance data as an aid in characterization of systems of natural fractures in hydrocarbon reservoirs. This method is demonstrated through application to history matching of reservoir performance using synthetic test cases. Discrete Feature Network (DFN) modeling (Dershowitz et...

Even though friction affects everyday life in many ways, it is still one of the biggest mysteries of physics. Friction is a truly multi-scale phenomenon with a large variety of processes acting at various length and time scales. In recent years, much attention was paid to the microand nano-scale properties of frictional interfaces in order to uncover the origins of friction. The structural aspe...

1. Problem formulation. The processes governing the fracture of brittle solids are, at present, much less illuminated than those related to plastic deformations. The reason is that it is very difficult to observe the detailed fracture process directly. All one can determine is the load, which acted immediately before fracture started, and the path and nature of the fracture surface. Because dur...

In linear elastic fracture mechanics the stress and strain magnification at crack tip is characterized by intensity factors which have been obtained for a large variety of loading specimen geometries course mode II test included. this paper not only different kinds boundary conditions contact surfaces will be discussed but plastic one. The rotation center line also discussed. results show power...