Propagation of polarization in elastodynamics with residual stress and travel times

Propagation of polarization in elastodynamics with residual stress and travel times
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具有残余应力和传播时间的弹性动力学中的极化传播

DOI:
10.1007/s00208-003-0437-6
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发表时间:
2002
影响因子:
1.4
通讯作者:
G. Uhlmann
G. Uhlmann
中科院分区:
数学2区
文献类型:
--
作者:
S. Hansen;G. Uhlmann

文献摘要

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摘要。我们表明,知道与残余应力的各向同性弹性动力学方程相关的位移-牵引力图,我们可以确定纵波和横波的透镜图。我们从位移-牵引力图中得出了确定残余应力和lam<s:1>参数的反问题的几个结果。
Abstract. We show that knowing the displacement-to-traction map associated to the equations of isotropic elastodynamics with residual stress we can determine the lens maps of compressional and shear waves. We derive several consequences of this for the inverse problem of determining the residual stress and the Lamé parameters from the displacement-to-traction map.