Transient displacements of a composite medium with defects due to a surface pulse

R.K.N.D. Rajapakse, D. Gross
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Abstract

This paper considers the transient dynamic response of a composite medium with arbitrary shaped voids. A boundary integral equation method is used to compute the displacement histories due to a loading pulse applied to the surface of a composite medium. The present methodology can also be used to study the response of a medium with near-surface cracks and elastic impurities. Numerical solutions are presented for graphite/epoxy, glass/epoxy and isotropic media. The influence of the degree of anisotropy of a medium, orientation and geometry of a void, time history of the loading pulse and the interaction between multiple voids are examined. It is found that the near-field displacements of a damaged medium differ substantially from an undamaged medium. The results reported here can be used for qualitative and quantitative nondestructive evaluations and also for computing the acoustic material signature of a composite medium with defects. The present results are also useful in the validation of inverse solution algorithms developed for material characterization.

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含有表面脉冲缺陷的复合介质的瞬态位移
本文研究了具有任意形状孔洞的复合介质的瞬态动力响应。采用边界积分方程法计算了复合介质表面加载脉冲作用下的位移历史。本方法也可用于研究含有近表面裂纹和弹性杂质的介质的响应。给出了石墨/环氧树脂、玻璃/环氧树脂和各向同性介质的数值解。研究了介质的各向异性程度、空洞的方向和几何形状、加载脉冲的时程以及多个空洞之间的相互作用等因素的影响。研究发现,损伤介质的近场位移与未损伤介质的近场位移有很大的不同。本文所报道的结果可用于定性和定量无损评价,也可用于计算含缺陷复合介质的声材料特征。目前的结果也有助于验证为材料表征而开发的反解算法。
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