Shear wave elastography (SWE) enables the probing of the mechanical properties of soft tissues in vivo and has been demonstrated to be a promising technique for the diagnosis of diseases such as staging liver fibrosis, evaluating artery stiffening, and detecting cancers. In this study, a porohyperviscoelastic model is presented to address the shear wave elastography of soft tissues with emphasis on the liver. Based on this constitutive model, an analytical solution has been derived to reveal the dependence of the wave velocity on the constitutive parameters and deformation of the solid matrix generated by the internal pressure. The model and solution not only help understand the dispersion of the shear waves in porohyperviscoelastic soft tissues such as the liver, but also reveal that both the hyperelastic and viscoelastic deformation behaviors of the solid matrix may play an important role in the pronounced effect of the internal pressure on the shear wave velocity, as observed in experiments. The analysis results are expected to advance our understanding of SWE and facilitate its use in clinics.

剪切波弹性成像（SWE）能够探测体内软组织的机械性能并且已被证明是诊断疾病的有前途的技术，例如分期肝纤维化，评估动脉僵硬和检测癌症。在这项研究中，提出了一种超高粘弹性模型来解决软组织的剪切波弹性成像，重点是肝脏。在此本构模型的基础上，得出了一种解析解，以揭示波速对本构参数和内部压力产生的固体基质变形的依赖性。该模型和解决方案不仅有助于了解剪切波在多孔高粘弹性软组织（例如肝脏）中的分散，但是还表明，如在实验中观察到的那样，固体基质的超弹性和粘弹性变形行为都可能在内部压力对剪切波速度的显着影响中起重要作用。预期分析结果将加深我们对SWE的理解并促进其在临床中的使用。