Fully non-linear hyper-viscoelastic modeling of skeletal muscle in compression

References

• Abraham AC, Kaufman KR, Haut Donahue TL. 2012. Phenomenological consequences of sectioning and bathing on passive muscle mechanics of the New Zealand white rabbit tibialis anterior. J Mech Behav Biomed Mater. 17:290–295.
   PubMed Web of Science ®Google Scholar
• Best TM, McElhaney J, Garrett WE, Myers BS. 1994. Characterization of the passive responses of live skeletal muscle using the quasi-linear theory of viscoelasticity. J Biomech. 27:413–419.10.1016/0021-9290(94)90017-5
   PubMed Web of Science ®Google Scholar
• Böl M, Ehret AE, Leichsenring K, Weichert C, Kruse R. 2014. On the anisotropy of skeletal muscle tissue under compression. Acta Biomater. 10:3225–3234.10.1016/j.actbio.2014.03.003
   PubMed Web of Science ®Google Scholar
• Calvo B, Ramírez A, Alonso A, Grasa J, Soteras F, Osta R, Muñoz MJ. 2010. Passive nonlinear elastic behaviour of skeletal muscle: experimental results and model formulation. J Biomech. 43:318–325.10.1016/j.jbiomech.2009.08.032
   PubMed Web of Science ®Google Scholar
• Ghoreishy MHR. 2012. Determination of the parameters of the Prony series in hyper-viscoelastic material models using the finite element method. Mater Des 35:791–797.
   Google Scholar
• Holzapfel GA. 2000. Nonlinear solid mechanics. Chichester: Wiley.
   Google Scholar
• Kauer M, Vuskovic V, Dual J, Szekely G, Bajka M. 2002. Inverse finite element characterization of soft tissues. Med Image Anal. 6:275–287.10.1016/S1361-8415(02)00085-3
   PubMed Web of Science ®Google Scholar
• Lei F, Szeri AZ. 2007. Inverse analysis of constitutive models: biological soft tissues. J Biomech. 40:936–940.10.1016/j.jbiomech.2006.03.014
   PubMed Web of Science ®Google Scholar
• Luboz V, Petrizelli M, Bucki M, Diot B, Vuillerme N, Payan Y. 2014. Biomechanical modeling to prevent ischial pressure ulcers. J Biomech. 47:2231–2236.10.1016/j.jbiomech.2014.05.004
   PubMed Web of Science ®Google Scholar
• Maikos JT, Elias RAI, Shreiber DI. 2008. Mechanical properties of dura mater from the rat brain and spinal cord. J Neurotrauma. 25:38–51.10.1089/neu.2007.0348
   PubMed Web of Science ®Google Scholar
• Martin Seitz A, Galbusera F, Krais C, Ignatius A, Dürselen L. 2013. Stress-relaxation response of human menisci under confined compression conditions. J Mech Behav Biomed Mater. 26:68–80.10.1016/j.jmbbm.2013.05.027
   PubMed Web of Science ®Google Scholar
• Morrow D, Haut Donahue T, Odegard G, Kaufman K. 2010. A method for assessing the fit of a constitutive material model to experimental stress–strain data. Comput Methods Biomech Biomed Engin. 13:247–256.10.1080/10255840903170686
   PubMed Web of Science ®Google Scholar
• Odegard GM, Haut Donahue TL, Morrow DA, Kaufman KR. 2008. Constitutive modeling of skeletal muscle tissue with an explicit strain-energy function. J Biomech Eng. 130(6), 061017 (Oct 23, 2008) (9 pages).10.1115/1.3002766
   PubMed Web of Science ®Google Scholar
• Palevski A, Glaich I, Portnoy S, Linder-Ganz E, Gefen A. 2006. Stress relaxation of porcine gluteus muscle subjected to sudden transverse deformation as related to pressure sore modeling. J Biomech Eng. 128:782–787.10.1115/1.2264395
   PubMed Web of Science ®Google Scholar
• Pietsch R, Wheatley BB, Haut Donahue TL, Gilbrech R, Prabhu R, Liao J, Williams LN. 2014. Anisotropic compressive properties of passive porcine muscle tissue. J Biomech Eng. 136(11), 111003 (Sep 4, 2014) (7 pages).10.1115/1.4028088
   Web of Science ®Google Scholar
• Robertson D, Cook D. 2014. Unrealistic statistics: how average constitutive coefficients can produce non-physical results. J Mech Behav Biomed Mater. 40:234–239.10.1016/j.jmbbm.2014.09.006
   PubMed Web of Science ®Google Scholar
• Shetye SS, Troyer KL, Streijger F, Lee JHT, Kwon BK, Cripton PA, Puttlitz CM. 2014. Nonlinear viscoelastic characterization of the porcine spinal cord. Acta Biomater. 10:792–797.10.1016/j.actbio.2013.10.038
   PubMed Web of Science ®Google Scholar
• Spilker RL, Suh JK, Mow VC. 1992. A finite element analysis of the indentation stress-relaxation response of linear biphasic articular cartilage. J Biomech Eng. 114:191–201.10.1115/1.2891371
   PubMed Web of Science ®Google Scholar
• Takaza M, Moerman KM, Simms CK. 2013. Passive skeletal muscle response to impact loading: experimental testing and inverse modelling. J Mech Behav Biomed Mater. 27:214–225.10.1016/j.jmbbm.2013.04.016
   PubMed Web of Science ®Google Scholar
• Troyer KL, Puttlitz CM. 2011. Human cervical spine ligaments exhibit fully nonlinear viscoelastic behavior. Acta Biomater. 7:700–709.10.1016/j.actbio.2010.09.003
   PubMed Web of Science ®Google Scholar
• Troyer KL, Puttlitz CM. 2012. Nonlinear viscoelasticty plays an essential role in the functional behavior of spinal ligaments. J Biomech. 45:684–691.10.1016/j.jbiomech.2011.12.009
   PubMed Web of Science ®Google Scholar
• Troyer KL, Shetye SS, Puttlitz CM. 2012. Experimental characterization and finite element implementation of soft tissue nonlinear viscoelasticity. J Biomech Eng 134(11), 114501 (Oct 11, 2012) (8 pages).
   Google Scholar
• Van Ee CA, Chasse AL, Myers BS. 2000. Quantifying skeletal muscle properties in cadaveric test specimens: effects of mechanical loading, postmortem time, and freezer storage. J Biomech Eng. 122:9–14.
   PubMed Web of Science ®Google Scholar
• Van Loocke M, Lyons CG, Simms CK. 2006. A validated model of passive muscle in compression. J Biomech. 39:2999–3009.10.1016/j.jbiomech.2005.10.016
   PubMed Web of Science ®Google Scholar
• Van Loocke M, Lyons CG, Simms CK. 2008. Viscoelastic properties of passive skeletal muscle in compression: stress-relaxation behaviour and constitutive modelling. J Biomech. 41:1555–1566.10.1016/j.jbiomech.2008.02.007
   PubMed Web of Science ®Google Scholar
• Van Loocke M, Simms CK, Lyons CG. 2009. Viscoelastic properties of passive skeletal muscle in compression-Cyclic behaviour. J Biomech. 42:1038–1048.10.1016/j.jbiomech.2009.02.022
   PubMed Web of Science ®Google Scholar
• Van Rooij L, Bours R, van Hoof J, Mihm JJ, Ridella SA, Bass CR, Crandall JR. 2003. The development, validation and application of a finite element upper extremity model subjected to air bag loading. Stapp Car Crash J. 47:55–78.
   PubMedGoogle Scholar
• Verver MM, van Hoof J, Oomens CWJ, Wismans JSHM, Baaijens FPT. 2004. A finite element model of the human buttocks for prediction of seat pressure distributions. Comput Methods Biomech Biomed Engin. 7:193–203.10.1080/10255840410001727832
   PubMedGoogle Scholar
• Wheatley BB, Fischenich KM, Button KD, Haut RC, Haut Donahue TL. 2015. An optimized transversely isotropic, hyper-poro-viscoelastic finite element model of the meniscus to evaluate mechanical degradation following traumatic loading. J Biomech. 48:1454–1460.10.1016/j.jbiomech.2015.02.028
   PubMed Web of Science ®Google Scholar