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Mechanical properties estimation of functionally graded materials using surface waves recorded with a laser interferometer

机译:使用激光干涉仪记录的表面波估算功能梯度材料的机械性能

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摘要

ABSTRACT An approach is presented here to invert surface wave dispersion and attenuation relative to the depth-dependence of the visco-elastic parameters of functionally graded materials (FGMs). The particularity of this method lies in allowing visco-elastic parameters to vary continuously with depth and in properly incorporating the continuous nature of these variations into both the forward problem (the calculation of dispersion and attenuation) and the inverse problem (evaluation of visco-elastic parameters). The forward problem solves the equation of elastic motion using a Runge-Kutta integration scheme, while the inverse problem is solved with the nonlinear solution for continuous inverse problems developed by Tarantola and Valette (1982) [32]. Viscoelasticity is treated as a first-order perturbation to the elastic structure. Testing on a synthetic example shows that the procedure is able to closely reproduce the S-wave velocity and attenuation profiles. As expected, the variations in P-wave velocity are not resolved, yet they do not introduce any significant bias into the S-wave velocity profile. The Rayleigh wave phase velocity and attenuation, measured by laser ultrasonic experiments, are used to infer the depth-dependence of S-wave velocity and of attenuation on mortar samples. This depth-dependence compares well with the depth-dependence derived from the sample density inferred from gamma-densitometry.
机译:摘要本文介绍一种相对于功能梯度材料(FGM)的粘弹性参数的深度依赖性来反转表面波色散和衰减的方法。该方法的特殊性在于允许粘弹性参数随深度连续变化,并将这些变化的连续性质适当地纳入正向问题(色散和衰减的计算)和反问题(粘弹性的评估)中参数)。正向问题使用Runge-Kutta积分方案求解弹性运动方程,而反问题则由Tarantola和Valette(1982)提出的针对连续反问题的非线性解进行求解[32]。粘弹性被视为对弹性结构的一阶扰动。在一个合成示例上进行的测试表明,该程序能够精确再现S波速度和衰减曲线。不出所料,P波速度的变化没有得到解决,但是它们并未在S波速度剖面中引入任何明显的偏差。通过激光超声实验测量的瑞利波相速度和衰减被用于推断灰浆样品上S波速度和衰减的深度相关性。这种深度相关性与从伽马密度法推断的样品密度得出的深度相关性很好。

著录项

  • 来源
    《NDT & E international》 |2011年第2期|p.169-177|共9页
  • 作者单位

    Institute of Geophysics, China Earthquake Administration, Beijing 100081, China Laboratoire Central des Ponts et Chaussees, Route de Bouaye BP4129 44341 Bouguenais Cedex, Nantes, France;

    Laboratoire Central des Ponts et Chaussees, Route de Bouaye BP4129 44341 Bouguenais Cedex, Nantes, France Laboratoire de Caracterisation Non Destructive, Universite de la Mediterrannee, 13625 Aix en Provence, France;

    Laboratoire Central des Ponts et Chaussees, Route de Bouaye BP4129 44341 Bouguenais Cedex, Nantes, France;

    Department of Geosciences, University of Oslo, P.O. Box 1047, Blindern, 0316 Oslo, Norway;

    Laboratoire Central des Ponts et Chaussees, Route de Bouaye BP4129 44341 Bouguenais Cedex, Nantes, France;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    surface waves; fgm; inversion; mortar;

    机译:表面波;fgm;反演;砂浆;

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