Finite element modeling of finite deformable, biphasic biological tissues with transversely isotropic statistically distributed fibers: toward a practical solution

[1]  G. Wittum,et al.  A generalised algorithm for anelastic processes in elastoplasticity and biomechanics , 2017 .

[2]  Antonio Cazzani,et al.  Isogeometric analysis of plane-curved beams , 2016 .

[3]  G. Wittum,et al.  A poroplastic model of structural reorganisation in porous media of biomechanical interest , 2016 .

[4]  Ivan Giorgio,et al.  A micro‐structural model for dissipation phenomena in the concrete , 2015 .

[5]  Francesco dell’Isola,et al.  Pattern formation in the three-dimensional deformations of fibered sheets , 2015 .

[6]  Francesco dell’Isola,et al.  Mechanical response of fabric sheets to three-dimensional bending, twisting, and stretching , 2015 .

[7]  Francesco dell’Isola,et al.  A Two-Dimensional Gradient-Elasticity Theory for Woven Fabrics , 2015 .

[8]  Alfio Grillo,et al.  Poroelastic materials reinforced by statistically oriented fibres—numerical implementation and application to articular cartilage , 2014 .

[9]  Leopoldo Greco,et al.  A variational model based on isogeometric interpolation for the analysis of cracked bodies , 2014 .

[10]  Gerhard A Holzapfel,et al.  A hyperelastic biphasic fibre-reinforced model of articular cartilage considering distributed collagen fibre orientations: continuum basis, computational aspects and applications , 2013, Computer methods in biomechanics and biomedical engineering.

[11]  Itai Cohen,et al.  Anatomic variation of depth‐dependent mechanical properties in neonatal bovine articular cartilage , 2013, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[12]  Victor A. Eremeyev,et al.  Material symmetry group of the non-linear polar-elastic continuum , 2012 .

[13]  Gabriel Wittum,et al.  Growth, mass transfer, and remodeling in fiber-reinforced, multi-constituent materials , 2012 .

[14]  Min Wang,et al.  PHBV/PLLA-based composite scaffolds fabricated using an emulsion freezing/freeze-drying technique for bone tissue engineering: surface modification and in vitro biological evaluation , 2012, Biofabrication.

[15]  Alfio Grillo,et al.  Elasticity and permeability of porous fibre-reinforced materials under large deformations , 2012 .

[16]  M. Papini,et al.  A nonlinear biphasic fiber-reinforced porohyperviscoelastic model of articular cartilage incorporating fiber reorientation and dispersion. , 2011, Journal of biomechanical engineering.

[17]  S. Federico Volumetric-Distortional Decomposition of Deformation and Elasticity Tensor , 2010 .

[18]  A. Misra,et al.  Higher-Order Stress-Strain Theory for Damage Modeling Implemented in an Element-free Galerkin Formulation , 2010 .

[19]  T Christian Gasser,et al.  Nonlinear elasticity of biological tissues with statistical fibre orientation , 2010, Journal of The Royal Society Interface.

[20]  E. Stride,et al.  Ultrasound elastography to determine the layered mechanical properties of articular cartilage and the importance of such structural characteristics under load , 2009, 2009 Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[21]  Francesco dell’Isola,et al.  Boundary Conditions at Fluid-Permeable Interfaces in Porous Media: a Variational Approach , 2009 .

[22]  LePing Li,et al.  Three-dimensional fibril-reinforced finite element model of articular cartilage , 2009, Medical & Biological Engineering & Computing.

[23]  Gabriel Wittum,et al.  Evolution of a fibre-reinforced growing mixture , 2009 .

[24]  Alfio Grillo,et al.  A semi-analytical solution for the confined compression of hydrated soft tissue , 2009 .

[25]  Walter Herzog,et al.  Towards an analytical model of soft biological tissues. , 2008, Journal of biomechanics.

[26]  Walter Herzog,et al.  On the anisotropy and inhomogeneity of permeability in articular cartilage , 2008, Biomechanics and modeling in mechanobiology.

[27]  Francesco dell’Isola,et al.  Variational formulation of pre-stressed solid-fluid mixture theory, with an application to wave phenomena , 2008 .

[28]  W. Herzog,et al.  On the permeability of fibre-reinforced porous materials , 2008 .

[29]  Karol Miller,et al.  Confocal arthroscopy-based patient-specific constitutive models of cartilaginous tissues—II: prediction of reaction force history of meniscal cartilage specimens , 2007, Computer methods in biomechanics and biomedical engineering.

[30]  Karol Miller,et al.  Confocal arthroscopy-based patient-specific constitutive models of cartilaginous tissues—I: development of a microstructural model , 2007, Computer methods in biomechanics and biomedical engineering.

[31]  Jeffrey H. Price,et al.  Video microscopy to quantitate the inhomogeneous equilibrium strain within articular cartilage during confined compression , 1996, Annals of Biomedical Engineering.

[32]  J. M. Huyghe,et al.  Depth-dependent Compressive Equilibrium Properties of Articular Cartilage Explained by its Composition , 2007, Biomechanics and modeling in mechanobiology.

[33]  Karol Miller,et al.  Constitutive modeling of cartilaginous tissues: a review. , 2006, Journal of applied biomechanics.

[34]  T. Quinn,et al.  Anisotropic hydraulic permeability in compressed articular cartilage. , 2006, Journal of biomechanics.

[35]  R. Ogden,et al.  Hyperelastic modelling of arterial layers with distributed collagen fibre orientations , 2006, Journal of The Royal Society Interface.

[36]  R Huiskes,et al.  The role of computational models in the search for the mechanical behavior and damage mechanisms of articular cartilage. , 2005, Medical engineering & physics.

[37]  M. Hull,et al.  Heterogeneous three‐dimensional strain fields during unconfined cyclic compression in bovine articular cartilage explants , 2005, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[38]  Alfio Grillo,et al.  A transversely isotropic, transversely homogeneous microstructural-statistical model of articular cartilage. , 2005, Journal of biomechanics.

[39]  Ivan Vesely,et al.  Invariant formulation for dispersed transverse isotropy in aortic heart valves , 2005, Biomechanics and modeling in mechanobiology.

[40]  W Wilson,et al.  A fibril-reinforced poroviscoelastic swelling model for articular cartilage. , 2005, Journal of biomechanics.

[41]  W Herzog,et al.  The role of viscoelasticity of collagen fibers in articular cartilage: axial tension versus compression. , 2005, Medical engineering & physics.

[42]  Alfio Grillo,et al.  A transversely isotropic composite with a statistical distribution of spheroidal inclusions: a geometrical approach to overall properties , 2004 .

[43]  Carol Muehleman,et al.  X-Ray Diffraction of the Molecular Substructure of Human Articular Cartilage , 2003, Connective tissue research.

[44]  W. Herzog,et al.  Elastic anisotropy of articular cartilage is associated with the microstructures of collagen fibers and chondrocytes. , 2002, Journal of biomechanics.

[45]  T M Quinn,et al.  Glycosaminoglycan network geometry may contribute to anisotropic hydraulic permeability in cartilage under compression. , 2001, Journal of biomechanics.

[46]  M. Sacks,et al.  Biaxial mechanical properties of the native and glutaraldehyde-treated aortic valve cusp: Part II--A structural constitutive model. , 2000, Journal of biomechanical engineering.

[47]  J. Arokoski,et al.  Electron microscopic stereological study of collagen fibrils in bovine articular cartilage: volume and surface densities are best obtained indirectly (from length densities and diameters) using isotropic uniform random sampling , 1999, Journal of anatomy.

[48]  W Herzog,et al.  Modelling of location- and time-dependent deformation of chondrocytes during cartilage loading. , 1999, Journal of biomechanics.

[49]  Albert C. Chen,et al.  Depth‐dependent confined compression modulus of full‐thickness bovine articular cartilage , 1997, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[50]  George D. Pins,et al.  Effects of static axial strain on the tensile properties and failure mechanisms of self-assembled collagen fibers , 1997 .

[51]  F. Reinholt,et al.  Stereologic studies on collagen in bovine articular cartilage , 1993, APMIS : acta pathologica, microbiologica, et immunologica Scandinavica.

[52]  G. Weng,et al.  On the application of Mori-Tanaka's theory involving transversely isotropic spheroidal inclusions , 1990 .

[53]  V C Mow,et al.  The nonlinear characteristics of soft gels and hydrated connective tissues in ultrafiltration. , 1990, Journal of biomechanics.

[54]  Y. Lanir Constitutive equations for fibrous connective tissues. , 1983, Journal of biomechanics.

[55]  R. Aspden,et al.  Collagen organization in articular cartilage, determined by X-ray diffraction, and its relationship to tissue function , 1981, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[56]  L. Walpole Elastic Behavior of Composite Materials: Theoretical Foundations , 1981 .

[57]  V. Mow,et al.  Biphasic creep and stress relaxation of articular cartilage in compression? Theory and experiments. , 1980, Journal of biomechanical engineering.

[58]  R J Minns,et al.  The collagen fibril organization in human articular cartilage. , 1977, Journal of anatomy.

[59]  R. Dalziel,et al.  Articular cartilage. , 1971, Lancet.

[60]  P. Bullough,et al.  Permeability of articular cartilage. , 1968, Nature.