References
- Limbert, G., 2001, "Finite Element Modeling of Biological Soft Tissues. Application to the Ligaments of the Human Knee," Ph. D. Thesis, School of Engineering Sciences, University of Southampton, UK
- Limbert, G. and Middleton, J., 2004, "A Transversely Isotropic Viscohyperelastic Material Application to the Modeling of Biological Soft Connective Tissues," International Jourmal of Solids and Structures, Vol. 41, pp. 4237~4260 https://doi.org/10.1016/j.ijsolstr.2004.02.057
- Pioletti, D. P., 1997, "Viscoelastic Properties of Soft Tissues: Application to Knee Ligaments and Tendons," Ph. D. Thesis, Départment de physique, Ecole Polytechnique Fédérale de Lausanne, Switzerland
- Pioletti, D. P., Rakotomanana, L, R., Benvenuti, J. F. and Leyvraz, P. F., 1998, "Viscoelastic Constitutive Law in Large Deformations: Application to Human Knee Ligaments and Tendons," Journal of Biomechanics, Vol. 31, (8), pp. 753~757 https://doi.org/10.1016/S0021-9290(98)00077-3
- Hirokawa, S. and Tsuruno, R., 2000, "Threedimensional Deformation and Stress Distribution in an Analytical/Computational Model of the Anterior Cruciate Ligament," Journal of Biomechanics, Vol. 33, pp. 1069~1077 https://doi.org/10.1016/S0021-9290(00)00073-7
- Fung, Y. C., 1973, "Biorheology of Soft Tissues," Biorheology, Vol. 10, pp. 139~155 https://doi.org/10.3233/BIR-1973-10208
- Menciassi, A., Scalari, G., Eisinberg, A., Anticoli C., Francabandiera, P., Carrozza M. C. and Dario, P., 2001, "An Instrumented Probe for Mechanical Characterization of Soft Tissues," Biomedical Microdevices 3:2, pp. 149~156 https://doi.org/10.1023/A:1011454427384
- Ryu, G. S., Min, O. K., Baick, H. S., 1999, "A Numerical Analysis Model of Ligament Behavior," Trans. of KSME (A), pp. 505~510
- Belytschko, T., Liu, W. K. and Moran, B., 2000, "Nonlinear Finite Elements for Continua and Structures," John Wiley & Sons Inc., NJ 07030, USA, pp. 130-136
- Dienes, J. K., 1979, "On the Analysis of Rotation and Stress Rate in Deforming Bodies," Acta Mechanica, Vol. 32, pp. 217~232 https://doi.org/10.1007/BF01379008
- Yong, S., Zhi-da, C., 1989, "On the Objective Stress Rate in Co-moving Coodinate System," Appl., Math., and Mech., Vol. 10, No. 2 https://doi.org/10.1007/BF02014816
- Xiao, H., Bruhns, O. T. and Meyers, A., 1997, "Hypo-elasticity Model Based upon the Logarithmic Stress Rate", J. Elasticity, Vol. 47, pp. 51~68 https://doi.org/10.1023/A:1007356925912
- Lin, R., 2002, "Viscoelastic and Elastic-viscoelasticelastoplastic Constitutive Characterizations of Polymers at Finite Strains," Theoterical and Numerical Aspects., Ph. D. thesis, Bundeswehr University, Hamburg
- Meyers, A., Xiao, H. and Bruhns, O., 2003, "Elastic Stress Ratchtting and Corotational Stress Rates," TECHNISGHE MECHANIK, Band 23, Heft 2-4, pp. 92~102
- Truesdell, C. and Noll, W., 1965, "The Non-linear Field Theories of Mechanics," Handbuch der Physik, S. Flügge, ed., Plasticity and Impact Mechanics, pp. 100-109, New Age Intern. Publ. Ltd., New Delhi
- Jaumann, G., 1911, "Geschlossnes System Physikalischer und Chemischer Differentialgesefze," Sitzzungsber, Ser, Akad, Wein, (IIa), pp. 385~530
- Green, A. E. and McInnis, B. C., 1967, "Generalized Hypoelasticity," Proc., Roy., Soc., Edinburgh, A57, pp. 220~230
- Green, A. E. and Naghdi, P. M., 1965, "A General Theory of an Elasto-plastic Continumm," Arch., Rat., Mech., Anal., Vol. 18, pp. 251~281
- Dienes, J. K., 1987, "A Discussion of Material Rotation and Stress Rate," Acta Mechanica, Vol. 65, pp. 1~11 https://doi.org/10.1007/BF01176868
- Lehmann, T., Guo, Z. H. and Liang, H. Y., 1991, "The Conjugacy between Cauchy Stress and Logarithm of the Left Stretch Tensor," Eur., J., Mech., A/Soilds, Vol. 10, pp. 395~404
- Reinhardt, W. D. and Dubey, R. N., 1995, "Eulerian Strain-rate as a Rate of Logarithmic Strain," Mech., Res., Comm., Vol. 22, pp. 165~170 https://doi.org/10.1016/0093-6413(95)00008-9
- Xiao, H, Bruhns, O. T. and Meyers, A., 1997, "Hypo-elasticity Model Based upon the Logarithmic Stress Rate," J. Elasticity, Vol. 47, pp. 51~68 https://doi.org/10.1023/A:1007356925912
- Xiao, H., Bruhns, O. T. and Meyers, A., 1998, "On Objective Corotational Rates and Their Defining Spin Tensors," In. J. Solids Structures, Vol. 35, No. 30, pp. 4001~4014 https://doi.org/10.1016/S0020-7683(97)00267-9
- Zhou, X., Tamma, K. K., 2003, "On the Applicability and Stress Update Formulations for Corotational Stress Rate Hypoelasticity Constitutive Models," Finite Elements in Analysis and Design, Vol. 39, pp. 783~816 https://doi.org/10.1016/S0168-874X(03)00059-3