Modes of failure in disordered solids

Nonlinear plastic modes in disordered solids.

We propose a theoretical framework within which a robust micromechanical definition of precursors to plastic instabilities, often termed soft spots, naturally emerges. They are shown to be collective displacements (modes) z[over ̂] that correspond to local minima of a barrier function b(z[over ̂]), which depends solely on inherent structure information. We demonstrate how some heuristic searches ...

Nucleation versus percolation: Scaling criterion for failure in disordered solids.

One of the major factors governing the mode of failure in disordered solids is the effective range R over which the stress field is modified following a local rupture event. In a random fiber bundle model, considered as a prototype of disordered solids, we show that the failure mode is nucleation dominated in the large system size limit, as long as R scales slower than L(ζ), with ζ=2/3. For a f...

Spin Dynamics in Disordered Solids

Main specifics of the theory of spin dynamics in disordered solids results from the fact, that calculation of observable values must start from the solution of equation of motion, and then they should be averaged over random distribution of spins in the sample. Nominally any problem in statistical physics looks analogously, but content of existing text books is formed by much more simple bypass...

Disordered Quantum Solids

Due to the peculiar non-fermi liquid of one dimensional systems, disorder has particularly strong effects. We show that such systems belong to the more general class of disordered quantum solids. We discuss the physics of such disordered interacting systems and the methods that allows to treat them. In addition to, by now standard renormalization group methods, We explain how a simple variation...

Simulation of Characteristic of Linear Degradation with Failure Modes