Transversely isotropic micromechanics model to determine effect of collagen fibre angle in mechanical properties of articular cartilage

References

• Mow VC, Ratcliffe A and Robin A: ‘Poole Cartilage and diarthrodial joints as paradigms for hierarchical materials and structures’, Biomaterials, 1992, 13, (2), 67–97.
   PubMed Web of Science ®Google Scholar
• Schinagl RM, Gurskis D, Chen AC and Sah RL: ‘Depth-dependent confined compression modulus of full-thickness bovine articular cartilage’, J. Orthop. Res., 1997, 15, (4), 499–506.
   PubMed Web of Science ®Google Scholar
• Mow V, Fithian D and Kelly M: ‘Fundamentals of articular cartilage and meniscus biomechanics’, in ‘Articular cartilage and knee joint function: basic science and arthroscopy’, 1–18; 1990, New York, NY, Raven Press.
   Google Scholar
• Kempson GE: ‘Age-related changes in the tensile properties of human articular cartilage: a comparative study between the femoral head of the hip joint and the talus of the ankle joint’, Biochim. Biophys. Acta (BBA)-Gen. Subj., 1991, 1075, (3), 223–230.
   PubMed Web of Science ®Google Scholar
• Minns R and Steven F: ‘The collagen fibril organization in human articular cartilage’, J. Anat., 1977, 123, (Pt 2), 437.
   PubMed Web of Science ®Google Scholar
• Aspden R and Hukins D: ‘Collagen organization in articular cartilage, determined by X-ray diffraction, and its relationship to tissue function’, Proc. R. Soc. Lond. B: Biol. Sci., 1981, 299–304.
   PubMed Web of Science ®Google Scholar
• Hedlund H, Mengarelli-Widholm S, Heinegård D, Reinholt FP and Svensson O: ‘Fibromodulin distribution and association with collagen’, Matrix Biol., 1994, 14, (3), 227–32.
   PubMed Web of Science ®Google Scholar
• Benninghoff A: ‘Form und Bau der Gelenkknorpel in ihren Beziehungen zur Funktion’, Cell Tissue Res., 1925, 2, (5), 783–862.
   Google Scholar
• Mow VC and Guo XE: ‘Mechano-electrochemical properties of articular cartilage: their inhomogeneities and anisotropies’, Annu. Rev. Biomed. Eng., 2002, 4, (1), 175–209.
   PubMed Web of Science ®Google Scholar
• Hasler EM, Herzog W, Wu JZ, Müller W and Wyss U: ‘Articular cartilage biomechanics: theoretical models, material properties, and biosynthetic response’, Crit. Rev. Biomed. Eng., 1999, 27, (6), 415–488.
   PubMed Web of Science ®Google Scholar
• Wilson W, Van Donkelaar C, Van Rietbergen R and Huiskes R: ‘The role of computational models in the search for the mechanical behavior and damage mechanisms of articular cartilage’, Med. Eng. Phys., 2005, 27, (10), 810–826.
   PubMed Web of Science ®Google Scholar
• Hunziker EB, Michel M and Studer D: ‘Ultrastructure of adult human articular cartilage matrix after cryotechnical processing’, Microsc. Res. Tech., 1997, 37, (4), 271–284.
   PubMed Web of Science ®Google Scholar
• Mow VC, Gibbs MC, Lai WM, Zhu WB and Athanasiou KA: ‘Biphasic indentation of articular cartilage—II. A numerical algorithm and an experimental study’, J. Biomech., 1989, 22, (8), 853–861.
   PubMed Web of Science ®Google Scholar
• Bursać PM, Obitz TW, Eisenberg SR and Stamenović D: ‘Confined and unconfined stress relaxation of cartilage: appropriateness of a transversely isotropic analysis’, J. Biomech., 1999, 32, (10), 1125–1130.
   PubMed Web of Science ®Google Scholar
• Cohen B, Lai W and Mow V: ‘A transversely isotropic biphasic model for unconfined compression of growth plate and chondroepiphysis’, J. Biomech. Eng., 1998, 120, (4), 491–496.
   PubMed Web of Science ®Google Scholar
• Suh J.-K and Bai S: ‘Finite element formulation of biphasic poroviscoelastic model for articular cartilage’, J. Biomech. Eng., 1998, 120, (2), 195–201.
   PubMed Web of Science ®Google Scholar
• Soulhat J, Buschmann M and Shirazi-Adl A: ‘A fibril-network-reinforced biphasic model of cartilage in unconfined compression’, J. Biomech. Eng., 1999, 121, (3), 340–347.
   PubMed Web of Science ®Google Scholar
• Soltz MA and Ateshian GA: ‘A conewise linear elasticity mixture model for the analysis of tension-compression nonlinearity in articular cartilage’, J. Biomech. Eng., 2000, 122, (6), 576–586.
   PubMed Web of Science ®Google Scholar
• Karimi A and Navidbakhsh M: ‘Measurement of the nonlinear mechanical properties of a poly (vinyl alcohol) sponge under longitudinal and circumferential loading’, J. Appl. Polym. Sci., 2013, 131, (10), 40257–40264.
   Web of Science ®Google Scholar
• Karimi A and Navidbakhsh M: ‘An experimental study on the mechanical properties of rat brain tissue using different stress-strain definitions’, Mater. Sci. Mater. Med., 2014, 25, (7), 1623–1630.
   PubMed Web of Science ®Google Scholar
• Karimi A, Navidbakhsh M, Alizadeh M and Shojaei A: ‘A comparative study on the mechanical properties of the umbilical vein and umbilical artery under uniaxial loading’, Artery Res., 2014, 8, (2), 51–56.
   Google Scholar
• Karimi A, Navidbakhsh M, Beigzadeh B and Faghihi S: ‘Hyperelastic mechanical behavior of rat brain infected by Plasmodium berghei ANKA–Experimental testing and constitutive modeling’, Int. J. Damage Mech., 2014, to be published. DOI: 10.1177/1056789513514072.
   Web of Science ®Google Scholar
• Karimi A, Navidbakhsh M and Haghpanahi M: ‘Constitutive model for numerical analysis of polyvinyl alcohol sponge under different strain rates’, J. Thermoplast. Compos. Mater., 2014, to be published. DOI: 10.1177/0892705713520176.
   Google Scholar
• Karimi A and Navidbakhsh M: ‘Mechanical properties of PVA material for tissue engineering applications’, Mater. Tech.: Adv. Perform. Mater., 2013, 29, (2), 90–100.
   Web of Science ®Google Scholar
• Karimi A, Navidbakhsh M, Alizadeh M and Razaghi R: ‘A comparative study on the elastic modulus of polyvinyl alcohol sponge using different stress-strain definitions’, Biomed. Tech. Biomed. Eng., 2014, to be published. DOI: 10.1515/bmt-2013-0110.
   Web of Science ®Google Scholar
• Karimi A, Navidbakhsh M and Beigzadeh B: ‘A visco-hyperelastic constitutive approach for modeling polyvinyl alcohol sponge’, Tissue Cell, 2014, 46, (1), 97–102.
   PubMed Web of Science ®Google Scholar
• Karimi A, Navidbakhsh M, Faghihi S, Shojaei A and Hassani K: ‘A finite element investigation on plaque vulnerability in realistic healthy and atherosclerotic human coronary arteries’, Proc. I Mech. Part H, 2013, 227H, (2), 148–161.
   Web of Science ®Google Scholar
• Karimi A, Navidbakhsh M, Razaghi R and Haghpanahi M: ‘A computational fluid-structure interaction model for plaque vulnerability assessment in atherosclerotic human coronary arteries’, J. Appl. Phys., 2014, 115, (14), 144702–144711.
   Web of Science ®Google Scholar
• Karimi A, Navidbakhsh M and Yousefi H: ‘Mechanical properties of polyvinyl alcohol sponge under different strain rates’, Int. J. Mater. Res., 2014, 105, (4), 404–408.
   Web of Science ®Google Scholar
• Karimi A, Navidbakhsh M, Yousefi H, Haghi AM and Sadati S: ‘Experimental and numerical study on the mechanical behavior of rat brain tissue’, Perfusion, 2014, 29, (4), 307–314.
   Web of Science ®Google Scholar
• Elhamian M, Alizadeh M, Mehrdad Shokrieh M, Karimi A and Madani P: ‘An innovative randomly oriented laminated composite model for articular cartilage tissue’, J. Biomater. Tissue Eng., 2014, to be published. DOI: 10.1166/jbt.2014.1213.
   Web of Science ®Google Scholar
• Jazrawi LM, Alaia MJ, Chang G, FitzGerald EF and Recht MP: ‘Advances in magnetic resonance imaging of articular cartilage’, J. Am. Acad. Orthop. Surg., 2011, 19, (7), 420–429.
   PubMed Web of Science ®Google Scholar
• G. P. Agrawal: ‘Nonlinear fiber optics’, in ‘Nonlinear Science at the Dawn of the 21st Century’, 195–211; 2000, Berlin, Springer.
   Google Scholar
• Kaw A: ‘Mechanics of composite materials’; 1997, Boca Raton, FL, CRC.
   Google Scholar
• Ishai A, Ungerleider LG, Martin A and Haxby JV: ‘The representation of objects in the human occipital and temporal cortex’, J. Cogn. Neurosci., 2000, 12, (Suppl 2), 35–51.
   PubMed Web of Science ®Google Scholar
• Barber P: ‘Patterns of gene flow and population genetic structure in the canyon treefrog, Hyla arenicolor (Cope)’, Mol. Ecol., 1999, 8, (4), 563–576.
   PubMed Web of Science ®Google Scholar
• Korhonen RK and Jurvelin JS: ‘Compressive and tensile properties of articular cartilage in axial loading are modulated differently by osmotic environment’, Med. Eng. Phys., 2010, 32, (2), 155–160.
   PubMed Web of Science ®Google Scholar
• Julkunen P, Kiviranta P, Wilson W, Jurvelin JS and Korhonen RK: ‘Characterization of articular cartilage by combining microscopic analysis with a fibril-reinforced finite-element model’, J. Biomech., 2007, 40, (8), 1862–1870.
   PubMed Web of Science ®Google Scholar
• Caves JM, Cui W, Wen J, Kumar VA, Haller CA and Chaikof EL: ‘Elastin-like protein matrix reinforced with collagen microfibers for soft tissue repair’, Biomaterials, 2011, 32, (23), 5371–5379.
   PubMed Web of Science ®Google Scholar
• Athanasiou K, Rosenwasser M, Buckwalter J, Malinin T and Mow V: ‘Interspecies comparisons of in situ intrinsic mechanical properties of distal femoral cartilage’, J. Orthop. Res., 1991, 9, (3), 330–340.
   PubMed Web of Science ®Google Scholar
• Lu X, Mow V and Guo X: ‘Proteoglycans and mechanical behavior of condylar cartilage’, J. Dent. Res., 2009, 88, (3), 244–248.
   PubMed Web of Science ®Google Scholar
• Shin D and Athanasiou K: ‘Cytoindentation for obtaining cell biomechanical properties’, J. Orthop. Res., 1999, 17, (6), 880–890.
   PubMed Web of Science ®Google Scholar
• Chegini S and Ferguson SJ: ‘Time and depth dependent poisson’s ratio of cartilage explained by an inhomogeneous orthotropic fiber embedded biphasic model’, J. Biomech., 2010, 43, (9), 1660–1666.
   PubMed Web of Science ®Google Scholar
• Laasanen MS, Töyräs J, Korhonen RK, Rieppo J, Saarakkala S, Nieminen MT, Hirvonen J and Jurvelin JS: ‘Biomechanical properties of knee articular cartilage’, Biorheology, 2003, 40, (1), 133–140.
   PubMed Web of Science ®Google Scholar
• Wu J and Herzog W: ‘Elastic anisotropy of articular cartilage is associated with the microstructures of collagen fibers and chondrocytes’, J. Biomech., 2002, 35, (7), 931–942.
   PubMed Web of Science ®Google Scholar
• Li L, Soulhat J, Buschmann M and Shirazi-Adl A: ‘Nonlinear analysis of cartilage in unconfined ramp compression using a fibril reinforced poroelastic model’, Clin. Biomech., 1999, 14, (9), 673–682.
   PubMed Web of Science ®Google Scholar