Mooney-Rivlin棒中振动的非线性声波

IF 2.5 4区综合性期刊 Q2 CHEMISTRY, MULTIDISCIPLINARY

Applied Sciences-Basel Pub Date : 2023-09-06 DOI:10.3390/app131810037

A. Karakozova, Sergey Kuznetsov

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引用次数: 0

摘要

基于Mooney-Rivlin状态方程的半无限不可压缩超弹性一维棒中的谐波激发揭示了在初始谐波的快、慢运动部分之间产生的激波锋面的形成和传播。观测到的激波锋面导致运动较慢的部分坍塌，被运动较快的部分吸收;因此，随着相应的热生成，动能和弹性应变能的衰减。采用显式Lax-Wendroff数值时间积分格式结合空间离散化有限元方法求解几何和物理非线性运动方程。

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Oscillating Nonlinear Acoustic Waves in a Mooney–Rivlin Rod

Harmonic wave excitation in a semi-infinite incompressible hyperelastic 1D rod with the Mooney–Rivlin equation of state reveals the formation and propagation of the shock wave fronts arising between faster and slower moving parts of the initially harmonic wave. The observed shock wave fronts result in the collapse of the slower moving parts being absorbed by the faster parts; hence, to the attenuation of the kinetic and the elastic strain energy with the corresponding heat generation. Both geometrically and physically nonlinear equations of motion are solved by the explicit Lax–Wendroff numerical tine-integration scheme combined with the finite element approach for spatial discretization.

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来源期刊

Applied Sciences-Basel CHEMISTRY, MULTIDISCIPLINARYMATERIALS SCIE-MATERIALS SCIENCE, MULTIDISCIPLINARY

CiteScore

5.30

自引率

11.10%

发文量

10882

期刊介绍： Applied Sciences (ISSN 2076-3417) provides an advanced forum on all aspects of applied natural sciences. It publishes reviews, research papers and communications. Our aim is to encourage scientists to publish their experimental and theoretical results in as much detail as possible. There is no restriction on the length of the papers. The full experimental details must be provided so that the results can be reproduced. Electronic files and software regarding the full details of the calculation or experimental procedure, if unable to be published in a normal way, can be deposited as supplementary electronic material.