Abstract
We present a method for simulation of collagen gels and more generally for materials comprised of a fibrillar network. The method solves a representative microstructural problem on each finite element in lieu of a constitutive equation. The method captures key features of microstructural rearrangement while maintaining the ability to perform simulations on the (large) functional length scale.
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References
Bell, E., Ivarsson, B. and Merrill, C. (1979) Production of a tissue-like structure by contraction of collagen lattices by human fibroblasts of different proliferative potential in vivo. Proceedings of the National Academy of Sciences of the USA 76, 1274–1278
Lopez Valle, C.A., Auger, F.A., Rompre, P.A., Bouvard, V. and Germain L. (1992) Peripheral anchorage of dermal equivalents. British Journal of Dermatology 127, 365–371
Lanir, Y.(1982) Constitutive equations for fibrous connective tissues. Journal of Biomechanics 18, 1–12
Lai, W.M., Hou, J.S. and Mow, V.C. (1991) A triphasic theory for the swelling and deformation behaviors of articular cartilage. Journal of Biomechanical Engineering 113, 245–258
Farquhar, T., Dawson, P.R. and Torzilli, P.A. (1990) A microstructural model for the anisotropic drained stiffness of articular cartilage. Journal of Biomechanical Engineering 112, 414–425
Soulhat, J., Buschmann, M.D. and Shirazi-Adl, A. (1999) A fibril-network-reinforced model biphasic model of cartilage in unconfined compression. Journal of Biomechanical Engineering 121, 340–347
Schwartz, M.H., Leo, P.H. and Lewis J.L. (1994) A microstructural model for the elastic response of articular cartilage. Journal of Biomechanics 27, 865–873
Billiar, K.L., and Sacks, M.S. (2000) Biaxial mechanical properties of native and glutaraldehyde-treated aortic valve cusp: Part II — A structural constitutive model. Journal of Biomechanical Engineering 122, 327–335
Agoram, B., and Barocas, V.H. (2001) Coupled macroscopic and microscopic scale modeling of fibrillar tissues and tissue equivalents. Journal of Biomechanical Engineering 123, 362–369
Bruels, R.G.M., Sengers, B.G., Oomens, C.W.J., Bouten, C.V.C. and Baaijens, F.P.T. (2002) Predicting local cell deformations in engineered tissue constructs: a multilevel finite element approach. Journal of Biomechanical Engineering 124, 198–206
Nemet-Nasser, S., and Hori, M. (1993) Micromechanics: Overall Properties of Heterogeneous Materials, Elsevier
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Chandran, P.L., Barocas, V.H. (2005). Representative Microstructure Finite Elements for Collagen Gels. In: Gladwell, G.M.L., Huyghe, J., Raats, P.A., Cowin, S.C. (eds) IUTAM Symposium on Physicochemical and Electromechanical Interactions in Porous Media. Solid Mechanics and Its Applications, vol 125. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3865-8_2
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DOI: https://doi.org/10.1007/1-4020-3865-8_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3864-8
Online ISBN: 978-1-4020-3865-5
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