Dynamics and Instabilities of Planar Tensile Cracks in Heterogeneous Media
Sharad Ramanathan, Daniel S. Fisher
Abstract
The dynamics of tensile crack fronts restricted to advance in a plane are studied. In an ideal linear elastic medium, a propagating mode along the crack front with a velocity slightly less than the Rayleigh wave velocity, is found to exist. But the dependence of the effective fracture toughness Γ(v) on the crack velocity is shown to destabilize the crack front if (dΓ)/(dv)<0. Short wavelength radiation due to weak random heterogeneities leads to this instability at low velocities. The implications of these results for the crack dynamics are discussed.
Create a lesson
Related papers
Optical Ceiling on Polaron Mobility in Disordered Molecular Semiconductors: Lessons from Eumelanin
Alvan Hunt
Glauber dynamics of the Sherrington--Kirkpatrick spin-glass model: a dynamical cavity method
Grzegorz Szamel
Generative diffusion in long-range correlated landscapes: Speciation cascade and the foam structure of the score
Jerome Garnier-Brun, Giulio Biroli, Marc Mézard et al.
A Clifford-index approach connecting boundary Dirac fermions to sigma-model topological terms in the periodic table of topological insulators and superconductors
Y. X. Zhao
Exact solution of the dynamic pseudogap model: Fock-space formalism for Gaussian fluctuations
Michael V. Sadovskii
Covariance-dependent participation scaling of Comtet disorder on open hyperbolic lattices
Wei Li, Yong Cheng