Poroelastodynamics: linear models, analytical solutions, and numerical methods

M Schanz - 2009 - asmedigitalcollection.asme.org
This article presents an overview on poroelastodynamic models and some analytical
solutions. A brief summary of Biot's theory and of other poroelastic dynamic governing …

Convolution quadrature revisited

C Lubich - BIT Numerical Mathematics, 2004 - Springer
This article reviews convolution quadrature and its uses, extends the known approximation
results for the case of sectorial Laplace transforms to finite-part convolutions with non …

Recent advances in computational mechanics of the human knee joint

M Kazemi, Y Dabiri, LP Li - Computational and mathematical …, 2013 - Wiley Online Library
Computational mechanics has been advanced in every area of orthopedic biomechanics.
The objective of this paper is to provide a general review of the computational models used …

Comparison of monolithic and splitting solution schemes for dynamic porous media problems

B Markert, Y Heider, W Ehlers - International journal for …, 2010 - Wiley Online Library
Proceeding from the governing equations describing a saturated poroelastic material with
intrinsically incompressible solid and fluid constituents, we compare the monolithic and …

Modeling of hydraulic fracturing using a porous-media phase-field approach with reference to experimental data

Y Heider, S Reiche, P Siebert, B Markert - Engineering Fracture Mechanics, 2018 - Elsevier
The underlying study introduces a numerical modeling framework and a comparison with
experimental data of hydraulic fracture in dense low-permeable brittle rocks. This is based …

(De) compaction of porous viscoelastoplastic media: Model formulation

VM Yarushina, YY Podladchikov - Journal of Geophysical …, 2015 - Wiley Online Library
A nonlinear viscoelastoplastic theory is developed for porous rate‐dependent materials
filled with a fluid in the presence of gravity. The theory is based on a rigorous …

An extended biphasic model for charged hydrated tissues with application to the intervertebral disc

W Ehlers, N Karajan, B Markert - Biomechanics and modeling in …, 2009 - Springer
Finite element models for hydrated soft biological tissue are numerous but often exhibit
certain essential deficiencies concerning the reproduction of relevant mechanical and …

A biphasic model for sinusoidal liver perfusion remodeling after outflow obstruction

T Ricken, U Dahmen, O Dirsch - Biomechanics and modeling in …, 2010 - Springer
Liver resection can lead to focal outflow obstruction due to transection of hepatic veins.
Outflow obstruction may cause additional damage to the small remnant liver. Drainage of the …

[HTML][HTML] A multiple-network poroelastic model for biological systems and application to subject-specific modelling of cerebral fluid transport

L Guo, JC Vardakis, D Chou, Y Ventikos - International Journal of …, 2020 - Elsevier
Biological tissue can be viewed as porous, permeable and deformable media infiltrated by
fluids, such as blood and interstitial fluid. A finite element model has been developed based …

[图书][B] Multiphysics in porous materials

Z Liu, Z Liu - 2018 - Springer
Porous materials are breeding beds of multiphysical processes due to their porous,
multiphase, and multicomponent nature. This chapter is intended to explain the strong …