Gültekin, Osman; Dal, Hüsnü; Holzapfel, Gerhard A. On the quasi-incompressible finite element analysis of anisotropic hyperelastic materials. (English) Zbl 07037449 Comput. Mech. 63, No. 3, 443-453 (2019). MSC: 74 PDF BibTeX XML Cite \textit{O. Gültekin} et al., Comput. Mech. 63, No. 3, 443--453 (2019; Zbl 07037449) Full Text: DOI
Staber, B.; Guilleminot, J. A random field model for anisotropic strain energy functions and its application for uncertainty quantification in vascular mechanics. (English) Zbl 1440.74021 Comput. Methods Appl. Mech. Eng. 333, 94-113 (2018). MSC: 74A40 74L15 74S05 74B20 PDF BibTeX XML Cite \textit{B. Staber} and \textit{J. Guilleminot}, Comput. Methods Appl. Mech. Eng. 333, 94--113 (2018; Zbl 1440.74021) Full Text: DOI
Gültekin, Osman; Dal, Hüsnü; Holzapfel, Gerhard A. Numerical aspects of anisotropic failure in soft biological tissues favor energy-based criteria: a rate-dependent anisotropic crack phase-field model. (English) Zbl 1439.74199 Comput. Methods Appl. Mech. Eng. 331, 23-52 (2018). MSC: 74L15 74S05 65N30 PDF BibTeX XML Cite \textit{O. Gültekin} et al., Comput. Methods Appl. Mech. Eng. 331, 23--52 (2018; Zbl 1439.74199) Full Text: DOI
Crespo, José; Latorre, Marcos; Montáns, Francisco Javier WYPIWYG hyperelasticity for isotropic, compressible materials. (English) Zbl 1398.74023 Comput. Mech. 59, No. 1, 73-92 (2017). MSC: 74B20 74A20 65D10 74D10 74B10 PDF BibTeX XML Cite \textit{J. Crespo} et al., Comput. Mech. 59, No. 1, 73--92 (2017; Zbl 1398.74023) Full Text: DOI
Lanir, Yoram Multi-scale structural modeling of soft tissues mechanics and mechanobiology. (English) Zbl 1374.74097 J. Elasticity 129, No. 1-2, 7-48 (2017). MSC: 74L15 PDF BibTeX XML Cite \textit{Y. Lanir}, J. Elasticity 129, No. 1--2, 7--48 (2017; Zbl 1374.74097) Full Text: DOI
Varano, V.; Gabriele, S.; Teresi, L.; Dryden, I.; Puddu, P. E.; Torromeo, C.; Piras, P. Comparing shape trajectories of biological soft tissues in the size-and-shape space. (English) Zbl 1344.92109 Mondaini, Rubem P. (ed.), BIOMAT 2014. Proceedings of the international symposium on mathematical and computational biology, Poznan, Poland, November 3–7, 2014. Hackensack, NJ: World Scientific (ISBN 978-981-4667-93-7/hbk; 978-981-4667-95-1/ebook). 351-365 (2015). MSC: 92C99 PDF BibTeX XML Cite \textit{V. Varano} et al., in: BIOMAT 2014. Proceedings of the international symposium on mathematical and computational biology, Poznan, Poland, November 3--7, 2014. Hackensack, NJ: World Scientific. 351--365 (2015; Zbl 1344.92109) Full Text: DOI
Regueiro, R. A.; Zhang, B.; Wozniak, S. L. Large deformation dynamic three-dimensional coupled finite element analysis of soft biological tissues treated as biphasic porous media. (English) Zbl 1356.74212 CMES, Comput. Model. Eng. Sci. 98, No. 1, 1-39 (2014). MSC: 74S05 65N30 74F10 74L15 92C10 PDF BibTeX XML Cite \textit{R. A. Regueiro} et al., CMES, Comput. Model. Eng. Sci. 98, No. 1, 1--39 (2014; Zbl 1356.74212) Full Text: DOI
Augustin, Christoph M.; Holzapfel, Gerhard A.; Steinbach, Olaf Classical and all-floating FETI methods for the simulation of arterial tissues. (English) Zbl 1352.74187 Int. J. Numer. Methods Eng. 99, No. 4, 290-312 (2014). MSC: 74L15 74S05 65M60 65M55 65Y05 92C30 PDF BibTeX XML Cite \textit{C. M. Augustin} et al., Int. J. Numer. Methods Eng. 99, No. 4, 290--312 (2014; Zbl 1352.74187) Full Text: DOI arXiv
Caselli, Federica; Bisegna, Paolo A corotational flat triangular element for large strain analysis of thin shells with application to soft biological tissues. (English) Zbl 1311.74074 Comput. Mech. 54, No. 3, 847-864 (2014). MSC: 74K25 74S05 74L15 PDF BibTeX XML Cite \textit{F. Caselli} and \textit{P. Bisegna}, Comput. Mech. 54, No. 3, 847--864 (2014; Zbl 1311.74074) Full Text: DOI
Horgan, Cornelius O.; Murphy, Jeremiah G. Simple shearing of soft biological tissues. (English) Zbl 1428.74156 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2127, 760-777 (2011). MSC: 74L15 74B20 92C10 PDF BibTeX XML Cite \textit{C. O. Horgan} and \textit{J. G. Murphy}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2127, 760--777 (2011; Zbl 1428.74156) Full Text: DOI
Balzani, D.; Brands, D.; Klawonn, A.; Rheinbach, O.; Schröder, J. On the mechanical modeling of anisotropic biological soft tissue and iterative parallel solution strategies. (English) Zbl 1271.74314 Arch. Appl. Mech. 80, No. 5, 479-488 (2010). MSC: 74L15 74S05 92C10 PDF BibTeX XML Cite \textit{D. Balzani} et al., Arch. Appl. Mech. 80, No. 5, 479--488 (2010; Zbl 1271.74314) Full Text: DOI
Itskov, M.; Ehret, A. E. A universal model for the elastic, inelastic and active behaviour of soft biological tissues. (English) Zbl 1177.74281 GAMM-Mitt. 32, No. 2, 221-236 (2009). MSC: 74L15 74E10 92C10 PDF BibTeX XML Cite \textit{M. Itskov} and \textit{A. E. Ehret}, GAMM-Mitt. 32, No. 2, 221--236 (2009; Zbl 1177.74281) Full Text: DOI
Mironov, Mikhail; Konopatskaya, Irina; Pyatakov, Pavel; Clement, Gregory; Vykhodtseva, Natalia Parametric excitation of shear waves in soft solids. (English) Zbl 1416.74054 Enflo, Bengt O. (ed.) et al., Nonlinear acoustics – fundamentals and applications ISNA 18. 18th international symposium on nonlinear acoustics, Stockholm, Sweden, 7–10 July 2008. With CD-ROM. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1022, 448-451 (2008). MSC: 74J30 74-05 PDF BibTeX XML Cite \textit{M. Mironov} et al., AIP Conf. Proc. 1022, 448--451 (2008; Zbl 1416.74054) Full Text: DOI
Kanner, Landon M.; Horgan, Cornelius O. Inhomogeneous shearing of strain-stiffening rubber-like hollow circular cylinders. (English) Zbl 1421.74014 Int. J. Solids Struct. 45, No. 20, 5464-5482 (2008). MSC: 74B20 74L15 PDF BibTeX XML Cite \textit{L. M. Kanner} and \textit{C. O. Horgan}, Int. J. Solids Struct. 45, No. 20, 5464--5482 (2008; Zbl 1421.74014) Full Text: DOI
Kanner, Landon M.; Horgan, Cornelius O. Plane strain bending of strain-stiffening rubber-like rectangular beams. (English) Zbl 1159.74372 Int. J. Solids Struct. 45, No. 6, 1713-1729 (2008). MSC: 74K10 74B20 PDF BibTeX XML Cite \textit{L. M. Kanner} and \textit{C. O. Horgan}, Int. J. Solids Struct. 45, No. 6, 1713--1729 (2008; Zbl 1159.74372) Full Text: DOI
Kanner, Landon M.; Horgan, Cornelius O. On extension and torsion of strain-stiffening rubber-like elastic circular cylinders. (English) Zbl 1159.74324 J. Elasticity 93, No. 1, 39-61 (2008). MSC: 74B20 PDF BibTeX XML Cite \textit{L. M. Kanner} and \textit{C. O. Horgan}, J. Elasticity 93, No. 1, 39--61 (2008; Zbl 1159.74324) Full Text: DOI
Ambrosi, D.; Guana, F. Stress-modulated growth. (English) Zbl 1149.74040 Math. Mech. Solids 12, No. 3, 319-342 (2007). MSC: 74L15 92C10 PDF BibTeX XML Cite \textit{D. Ambrosi} and \textit{F. Guana}, Math. Mech. Solids 12, No. 3, 319--342 (2007; Zbl 1149.74040) Full Text: DOI
Balzani, D.; Neff, P.; Schröder, J.; Holzapfel, G. A. A polyconvex framework for soft biological tissues. Adjustment to experimental data. (English) Zbl 1120.74632 Int. J. Solids Struct. 43, No. 20, 6052-6070 (2006). MSC: 74L15 92C10 PDF BibTeX XML Cite \textit{D. Balzani} et al., Int. J. Solids Struct. 43, No. 20, 6052--6070 (2006; Zbl 1120.74632) Full Text: DOI
Taber, Larry A. Nonlinear theory of elasticity. Applications in biomechanics. (English) Zbl 1052.74001 River Edge, NJ: World Scientific (ISBN 981-238-735-8/hbk). xvi, 399 p. £ 62.00 (2004). Reviewer: Anatoliy S. Semenov (Odessa) MSC: 74-02 74L15 74B20 92C10 92-02 PDF BibTeX XML Cite \textit{L. A. Taber}, Nonlinear theory of elasticity. Applications in biomechanics. River Edge, NJ: World Scientific (2004; Zbl 1052.74001) Full Text: DOI
Itskov, M.; Başar, Y. A new orthotropic hyperelastic constitutive model with application to incompressible shells. (English) Zbl 1002.74064 ZAMM, Z. Angew. Math. Mech. 81, Suppl. 2, 303-304 (2001). MSC: 74K25 74B20 74S05 74E10 PDF BibTeX XML Cite \textit{M. Itskov} and \textit{Y. Başar}, ZAMM, Z. Angew. Math. Mech. 81, 303--304 (2001; Zbl 1002.74064)
Sacks, Michael S. Biaxial mechanical evaluation of planar biological materials. (English) Zbl 0972.92004 J. Elasticity 61, No. 1-3, 199-246 (2000). MSC: 92C10 74L15 PDF BibTeX XML Cite \textit{M. S. Sacks}, J. Elasticity 61, No. 1--3, 199--246 (2000; Zbl 0972.92004) Full Text: DOI
Pioletti, Dominique P.; Rakotomanana, Lalao R. Non-linear viscoelastic laws for soft biological tissues. (English) Zbl 0984.74052 Eur. J. Mech., A, Solids 19, No. 5, 749-759 (2000). MSC: 74L15 74D10 74-05 92C10 PDF BibTeX XML Cite \textit{D. P. Pioletti} and \textit{L. R. Rakotomanana}, Eur. J. Mech., A, Solids 19, No. 5, 749--759 (2000; Zbl 0984.74052) Full Text: DOI
Frijns, A. J. H.; Huyghe, J. M.; Janssen, J. D. A validation of the quadriphasic mixture theory for intervertebral disc tissue. (English) Zbl 0916.73037 Int. J. Eng. Sci. 35, No. 15, 1419-1429 (1997). MSC: 74L15 74S05 92C10 80A17 PDF BibTeX XML Cite \textit{A. J. H. Frijns} et al., Int. J. Eng. Sci. 35, No. 15, 1419--1429 (1997; Zbl 0916.73037) Full Text: DOI
Weiss, Jeffrey A.; Maker, Bradley N.; Govindjee, Sanjay Finite element implementation of incompressible, transversely isotropic hyperelasticity. (English) Zbl 0893.73071 Comput. Methods Appl. Mech. Eng. 135, No. 1-2, 107-128 (1996). MSC: 74S05 74B20 74L15 PDF BibTeX XML Cite \textit{J. A. Weiss} et al., Comput. Methods Appl. Mech. Eng. 135, No. 1--2, 107--128 (1996; Zbl 0893.73071) Full Text: DOI