TY - JOUR
T1 - Modeling longitudinal wave propagation in nonlinear viscoelastic solids with softening
AU - Berjamin, Harold
AU - Lombard, Bruno
AU - Chiavassa, Guillaume
AU - Favrie, Nicolas
N1 - Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2018/6/1
Y1 - 2018/6/1
N2 - 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.
AB - 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.
KW - Nonlinear acoustics
KW - Numerical methods
KW - Softening
KW - Viscoelasticity
UR - https://www.scopus.com/pages/publications/85042389214
U2 - 10.1016/j.ijsolstr.2018.02.009
DO - 10.1016/j.ijsolstr.2018.02.009
M3 - Article
AN - SCOPUS:85042389214
SN - 0020-7683
VL - 141-142
SP - 35
EP - 44
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
ER -