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首页> 外文期刊>Japanese journal of applied physics >A Finite-Difference Time-Domain Technique for Nonlinear Elastic Media and Its Application to Nonlinear Lamb Wave Propagation
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A Finite-Difference Time-Domain Technique for Nonlinear Elastic Media and Its Application to Nonlinear Lamb Wave Propagation

机译：非线性弹性介质的时域有限差分技术及其在非线性兰姆波传播中的应用

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摘要

A finite-difference time-domain technique for nonlinear elastic media is proposed, which can be applied to analyze finite amplitude elastic waves in solids. The kinematic and the material nonlinearities are considered, employing a general expression for the strain energy of an isotropic solid containing the second- and third-order terms of the strain components. The accuracy of the proposed technique is demonstrated by comparison with the analytical solution for the plane longitudinal wave propagation with finite amplitude. Two-dimensional simulations are performed to demonstrate the effectiveness of this formulation for Lamb waves. First, numerical simulations without the nonlinear effects are carried out, and the spectral peaks obtained from the calculated waveforms are shown to agree well with the theoretical dispersion curves of Lamb waves. As an example with the nonlinear effects, the harmonic generation in Lamb wave propagation is also demonstrated. The results show that the growth of the second-harmonic mode occurs for an incident-wave frequency selected in accordance with the analytical phase matching condition.
机译：提出了一种非线性弹性介质的时域有限差分技术，可用于分析固体中的有限振幅弹性波。考虑运动学和材料非线性，采用包含应变分量的二阶和三阶项的各向同性固体的应变能的一般表达式。通过与有限幅平面纵波传播的解析解进行比较，证明了所提技术的准确性。进行了二维模拟，以证明该配方对兰姆波的有效性。首先，进行了没有非线性影响的数值模拟，并且显示了从计算波形获得的光谱峰值与兰姆波的理论色散曲线非常吻合。以非线性效应为例，还演示了兰姆波传播中的谐波产生。结果表明，根据分析相位匹配条件选择的入射波频率会出现二次谐波模式的增长。

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  • 来源
    《Japanese journal of applied physics》 |2012年第7issue2期|p.07GB14.1-07GB14.7|共7页
  • 作者

    Naoki Matsuda; Shiro Biwa;

  • 作者单位

    Department of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University, Kyoto 606-8501, Japan;

    Department of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University, Kyoto 606-8501, Japan;

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