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Erschienen in:

2019 | OriginalPaper | Buchkapitel

11. A Unified Treatment of Nonlinear Viscoelasticity and Non-equilibrium Dynamics

verfasst von : H. Berjamin, G. Chiavassa, N. Favrie, B. Lombard, C. Payan

Erschienen in: Nonlinear Ultrasonic and Vibro-Acoustical Techniques for Nondestructive Evaluation

Verlag: Springer International Publishing

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Abstract

This chapter introduces bases of nonlinear mesoscopic elasticity and presents a novel approach to model and numerically simulate the dynamical behavior of this class of material. Under dynamical solicitation, these so-called nonclassical materials exhibit two different time-dependent nonlinear mechanisms termed “fast” (nonlinear elasticity) and “slow” (loss of elastic properties and relaxation). A unified model of one-dimensional continuum is presented, which combines all of these phenomena as well as viscoelastic attenuation often neglected. The final set of partial differential equations is a system of conservation laws with relaxation described by a reduced number of parameters to account for all the effects. A numerical scheme based on finite-volume methods is presented which reproduces well the key experimental observations made in Dynamic Acousto Elasticity (DAE) and Nonlinear Resonant Ultrasound Spectroscopy (NRUS) type of experiments.

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Vorheriges Kapitel Subharmonic Phased Array for Crack Evaluation (SPACE)

Nächstes Kapitel Cement-Based Material Characterization Using Nonlinear Single-Impact Resonant Acoustic Spectroscopy (NSIRAS)

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Titel: A Unified Treatment of Nonlinear Viscoelasticity and Non-equilibrium Dynamics
verfasst von: H. Berjamin
G. Chiavassa
N. Favrie
B. Lombard
C. Payan
Verlag: Springer International Publishing
Buch: Nonlinear Ultrasonic and Vibro-Acoustical Techniques for Nondestructive Evaluation
Print ISBN: 978-3-319-94474-6

Electronic ISBN: 978-3-319-94476-0

Copyright-Jahr: 2019
DOI: https://doi.org/10.1007/978-3-319-94476-0_11

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