Wave Propagation in a Nonlocal Strain-Softening Continuum

by Gilles Pijaudier-Cabot, CNRS, Cachan, France,
Antonio Huerta, CNRS, Cachan, France,



Document Type: Proceeding Paper

Part of: Engineering Mechanics

Abstract:

The problem of wave propagation in a nonlocal strain softening solid is first discussed analytically. It is demonstrated that 'loading' waves can still propagate in the strain softening regime, studying the admissible solutions of the equation of motion by a standard dispersion analysis. The error due to a discretization into finite elements is also derived in a one dimensional setting using the previous analytical result. The influence of the computation of nonlocal terms is illustrated.



Subject Headings: Equations of motion | Finite element method | Load factors | Wave equations | Errors (statistics) | Computing in civil engineering | Constitutive relations | Strain hardening and softening

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