5 papers · 1 filter
Uniqueness of dynamic elastography for isotropic standard linear solid viscoelastic media
Yu Jiang, Ching-Lung Lin, Gen Nakamura
Dynamic elastography is a widely used, safe, convenient, and cost-effective method to aid in medical diagnosis. It visualizes the wave field propagating through living tissues and…
Explicit form of relaxation tensor for isotropic extended Burgers model and its spectral inversion
Youjun Deng, Ching-Lung Lin, Gen Nakamura
Concerning the anelastic nature of Earth, the quasi-static extended Burgers model (abbreviated by q-EBM), an integro-differential system, is used to study the free oscillation of E…
Clustered eigenvalue problem for glassy state relaxation and its inverse problem
Shuli Chen, Maarten V. de Hoop, Youjun Deng +2
For computational convenience, a Prony series approximation of the stretched exponential relaxation function of homogeneous glasses has been proposed (J. Mauro, Y. Mauro, 2018), wh…
Exact Boundary Controllability for Reduced System Associated to Extended Maxwell Systems
Maarten V. de Hoop, Ching-Lung Lin, Gen Nakamura
In the theory of viscoelasticity, an important class of models admits a representation in terms of springs and dashpots. Widely used members of this class are the Maxwell model and…
Anisotropic extended Burgers model, its relaxation tensor and properties of the associated Boltzmann viscoelastic system
Maarten de Hoop, Masato Kimura, Ching-Lung Lin +2
We provide a new method for constructing the anisotropic relaxation tensor and proving its exponential decay property for the extended Burgers model (abbreviated by EBM). The EBM i…