Wave propagation and localization in a rate-dependent cracked medium-model formulation and one-dimensional examples

Localization Strain Propagation Model Mechanical Discretization Finite element Waves Initial value problems Convergence Cracking Civil Wave reflection Wave propagation Rate dependence Softening Crack Mesh refinement Stresses Internal length scale Wave-propagation A4630N Fracture mechanics, fatigue, and cracks A0230 Function theory, analysis Initial value problem Finite element discretization Smeared crack model A4630M Vibrations, aeroelasticity, hydroelasticity, mechanical waves, and shocks Crack edge stress field analysis Crack strain rate Localization zone One dimensional localization Rate dependent cracked medium Softening function