预应力粘弹性固体的小振幅波和稳定性
Small amplitude waves and stability for a pre-stressed viscoelastic solid
摘要：
本文研究了在微分型非线性粘弹性材料中叠加在大的静态变形上的小振幅波的传播。我们使用体波和表面波来解决耗散和材料和几何稳定性的问题。特别是，分析提供的本构参数和预变形，确保在附近的一个大的预拉伸线性化的稳定性的界限。这种类型的结果与使用声学技术的生物软组织的成像有关，其中已知预变形增加对比度并减少去相关噪声。
英文摘要：
We study the propagation of small amplitude waves superimposed on a large static deformation in a nonlinear viscoelastic material of differential type. We use bulk waves and surface waves to address the questions of dissipation and of material and geometric stability. In particular, the analysis provides bounds on the constitutive parameters and on the pre-deformation that ensure linearized stability in the neighbourhood of a large pre-stretch. This type of result is relevant to the imaging of biological soft tissues using acoustical techniques, where pre-deformation is known to increase contrast and reduce de-correlation noise.
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