Modeling longitudinal wave propagation in nonlinear viscoelastic solids with softening

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:141

Article

Berjamin, Harold¹  Lombard, Bruno¹  Chiavassa, Guillaume²  Favrie, Nicolas³ 

[1] Aix Marseille Univ, Cent Marseille, CNRS, LMA, Marseille, France

[2] Aix Marseille Univ, Cent Marseille, CNRS, UMR 7340 M2P2, F-13451 Marseille 20, France

[3] Aix Marseille Univ, Polytech Marseille, CNRS, UMR 7343,IUSTI, F-13453 Marseille 13, France

关键词: Nonlinear acoustics;    Softening;    Viscoelasticity;    Numerical methods;   

DOI  :  10.1016/j.ijsolstr.2018.02.009

来源: Elsevier

【 摘 要 】

A model for longitudinal wave propagation in rocks and concrete is presented. Such materials are known to soften under a dynamic loading, i.e. the speed of sound diminishes with forcing amplitudes. Also known as slow dynamics, the softening of the material is not instantaneous. Based on continuum mechanics with internal variables of state, a new formulation is proposed, which accounts for nonlinear Zener viscoelasticity and softening. A finite-volume method using Roe linearization is developed for the system of partial differential equations so-obtained. The method is used to carry out resonance simulations, and its performance is assessed in the linear viscoelastic case. Qualitative agreement with experimental results of nonlinear ultrasound spectroscopy (NRUS) and dynamic acousto-elastic testing (DAET) is obtained. (C) 2018 Elsevier Ltd. All rights reserved.

【 授权许可】

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