【摘 要】
：
研究膨胀波和畸变波在含缺陷粘弹性材料中传播的衰减规律.首先,假设材料的本构关系用标准线性固体模型来描述,然后采用Laplace变换方法得到膨胀波和畸变波的波动方程,最后采
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研究膨胀波和畸变波在含缺陷粘弹性材料中传播的衰减规律.首先,假设材料的本构关系用标准线性固体模型来描述,然后采用Laplace变换方法得到膨胀波和畸变波的波动方程,最后采用分离变量法求得了方程的稳态解,并且导出了当粘弹性材料含损伤时膨胀波和畸变波的衰减系数的表达式.根据衰减系数的表达式,验证了衰减系数与波的频率、材料的松弛时间、材料损伤度以及对应线弹性材料的波速等参量有关.并发现膨胀波和畸变波的波速随损伤度的增长而单调递减,膨胀波和畸变波的衰减系数随损伤度的增长而单调递增,膨胀波和畸变波的衰减系数之比,仅反比于对应线弹性材料中的波速比,它与频率、初始模量及松弛时间无关,并且材料的Poisson比是粘弹性波衰减的非敏感参数.
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