87 citations · 1.4k across the 71 of their papers we have counts for
9 papers · 1 filter
Nonlinear extension of Kolosov-Muskhelishvili stress function formalism
Oran Szachter, Eytan Katzav, Mokhtar Adda-Bedia +1
The method of stress-function in elasticity theory is a powerful analytical tool with applications to a wide range of physical systems, including defective crystals, fluctuating me…
Thermal fracture as a framework for quasi-static crack propagation
F. Corson, M. Adda-Bedia, H. Henry +1
We address analytically and numerically the problem of crack path prediction in the model system of a crack propagating under thermal loading. We show that one can explain the inst…
Roughness of moving elastic lines - crack and wetting fronts
E. Katzav, M. Adda-Bedia, M. Ben Amar +1
We investigate propagating fronts in disordered media that belong to the universality class of wetting contact lines and planar tensile crack fronts. We derive from first principle…
Fracture surfaces of heterogeneous materials: a 2D solvable model
E. Katzav, M. Adda-Bedia, B. Derrida
Using an elastostatic description of crack growth based on the Griffith criterion and the principle of local symmetry, we present a stochastic model describing the propagation of a…
Theory of dynamic crack branching in brittle materials
E. Katzav, M. Adda-Bedia, R. Arias
The problem of dynamic symmetric branching of an initial single brittle crack propagating at a given speed under plane loading conditions is studied within a continuum mechanics ap…
Roughness of tensile crack fronts in heterogenous materials
E. Katzav, M. Adda--Bedia
The dynamics of planar crack fronts in heterogeneous media is studied using a recently proposed stochastic equation of motion that takes into account nonlinear effects. The analysi…