Landel RF, Nielsen LE (1993) Mechanical properties of polymers and composites. CRC Press, Boca Ratón
Ward IM, Hadley DW (1993) An Introduction to the mechanical properties of solid polymers. Wiley, Chichester
Ogden RW (1997) Nonlinear elastic deformations. Dover, New York
[+]
Landel RF, Nielsen LE (1993) Mechanical properties of polymers and composites. CRC Press, Boca Ratón
Ward IM, Hadley DW (1993) An Introduction to the mechanical properties of solid polymers. Wiley, Chichester
Ogden RW (1997) Nonlinear elastic deformations. Dover, New York
Holzapfel GA (2000) Nonlinear solid mechanics. Wiley, Chichester
Humphrey JD (2013) Cardiovascular solid mechanics: cells, tissues, and organs. Springer, New York
Fung YC (1993) A first course in continuum mechanics. Prentice-Hall, New Jersey
Twizell EH, Ogden RW (1983) Non-linear optimization of the material constants in Ogden’s stress-deformation function for incompressinle isotropic elastic materials. J Aust Math Soc B 24(04):424–434
Ogden RW, Saccomandi G, Sgura I (2004) Fitting hyperelastic models to experimental data. Comput Mech 34(6):484–502
Kakavas PA (2000) A new development of the strain energy function for hyperelastic materials using a logarithmic strain approach. J Appl Polym Sci 77:660–672
Pancheri FQ, Dorfmann L (2014) Strain-controlled biaxial tension of natural rubber: new experimental data. Rubber Chem Technol 87(1):120–138
Palmieri G, Sasso M, Chiappini G, Amodio D (2009) Mullins effect characterization of elastomers by multi-axial cyclic tests and optical experimental methods. Mech Mater 41(9):1059–1067
Urayama K (2006) An experimentalist’s view of the physics of rubber elasticity. J Polym Sci Polym Phys 44:3440–3444
Khajehsaeid H, Arghavani J, Naghdabadi R (2013) A hyperelastic constitutive model for rubber-like materials. Eur J Mech A Solid 38:144–151
Lopez-Pamies O (2010) A new $$I_{1}$$ I 1 -based hyperelastic model for rubber elastic materials. CR Mech 338(1):3–11
Maeda N, Fujikawa M, Makabe C, Yamabe J, Kodama Y, Koishi M (2015) Performance evaluation of various hyperelastic constitutive models of rubbers. In: Marvalova B, Petrikova I (eds) Constitutive models for rubbers IX. CRC Press, Boca Raton, pp 271–277
Steinmann P, Hossain M, Possart G (2012) Hyperelastic models for rubber-like materials: consistent tangent operators and suitability for Treloar’s data. Arch Appl Mech 82:1183–1217
Bechir H, Chevalier L, Chaouche M, Boufala K (2006) Hyperelastic constitutive model for rubber-like materials based on the first Seth strain measures invariant. Eur J Mech A Solid 25(1):110–124
Gendy AS, Saleeb AF (2000) Nonlinear material parameter estimation for characterizing hyperelastic large strain models. Comput Mech 25(1):66–77
Stumpf PT, Marczak RJ (2010) Optimization of constitutive parameters for hyperelastic models satisfying the Baker-Ericksen inequalities. In: Dvorkin E, Goldschmit M, Storti M (eds) Mecanica computational XXIX. Asociación Argentina de Mecánica Computacional, Buenos Aires, pp 2901–2916
Bradley GL, Chang PC, McKenna GB (2001) Rubber modeling using uniaxial test data. J Appl Polym Sci 81(4):837–848
Hariharaputhiran H, Saravanan U (2016) A new set of biaxial and uniaxial experiments on vulcanized rubber and attempts at modeling it using classical hyperelastic models. Mech Mater 92:211–222
Mansouri MR, Darijani H (2014) Constitutive modelling of isotropic hyperelastic materials in an exponential framework using a self-contained approach. Int J Solid Struct 51:4316–4326
Moerman KM, Simms CK, Nagel T (2016) Control of tension-compression asymmetry in Ogden hyperelasticity with application to soft tissue modelling. J Mech Beh Biomed Mater 56:218–228
Holzapfel GA (2006) Determination of material models for arterial walls from uniaxial extension tests and histological structure. J Theor Biol 238(2):290–302
Li D, Robertson AM (2009) A structural multi-mechanism constitutive equation for cerebral arterial tissue. Int J Solid Struct 46:2920–2928
Shearer T (2015) A new strain energy function for the hyperelastic modelling of ligaments and tendons based on fascicle microstructure. J Biomech 48(2):290–297
Holzapfel GA, Niestrawska JA, Ogden RW, Reinisch AJ, Schriefl AJ (2015) Modelling non-symmetric collagen fiber dispersion in arterial walls. J R Soc Interface 12:20150188
Itskov M, Aksel N (2004) A class of orthotropic and transversely isotropic hyperelastic constitutive models based on a polyconvex strain energy function. Int J Solid Struct 41(14):3833–3848
Angeli S, Panayiotou C, Psimolophitis E, Nicolaou M, Constantinides C (2015) Uniaxial stress-strain characteristics of elastomeric membranes: theoretical considerations, computational simulations, and experimental validation. Mech Adv Mater Struct 22(12):996–1006
Chen H, Zhao X, Lu X, Kassab GS (2016) Microstructure-based constitutive models for coronary artery adventitia. In: Kassab GS, Sacks MS (eds) Structure-based mechanics of tissues and organs. Springer, New York, pp 225–248
Pierce DM, Maier F, Weisbecker H, Viertler C, Verbrugghe P, Famaey N, Holzapfel GA (2015) Human thoracic and abdominal aortic aneurysmal tissues: damage experiments, statistical analysis and constitutive modeling. J Mech Beh Biomed Mater 41:92–107
Cooney GM, Moerman KM, Takaza M, Winter DC, Simms CK (2015) Uniaxial and biaxial mechanical properties of porcine linea alba. J Mech Beh Biomed Mater 41:68–82
Santamaría VA, Siret O, Badel P, Guerin G, Novacek V, Turquier F, Avril S (2015) Material model calibration from planar tension tests on porcine linea alba. J Mech Beh Biomed Mater 43:26–34
Sacks MS (2003) Incorporation of experimentally-derived fiber orientation into a structural constitutive model for planar collagenous tissues. J Biomech Eng 125(2):280–287
Natali AN, Carniel EL, Pavan PG, Dario P, Izzo I (2006) Hyperelastic models for the analysis of soft tissue mechanics: definition of constitutive parameters. In: Biomedical Robotics and Biomechatronics, IEEE, pp 188–191
Tricerri P, Dedè L, Gambaruto A, Quarteroni A, Sequeira A (2016) A numerical study of isotropic and anisotropic constitutive models with relevance to healthy and unhealthy cerebral arterial tissues. Int J Eng Sci 101:126–155
Cortes DH, Elliott DM (2016) Modeling of collagenous tissues using distributed fiber orientations. In: Kassab GS, Sacks MS (eds) Structure-based mechanics of tissues and organs. Springer, New York, pp 15–40
Gasser TC (2016) Histomechanical modeling of the wall of abdominal aortic aneurysm. In: Kassab GS, Sacks MS (eds) Structure-based mechanics of tissues and organs. Springer, New York, pp 57–78
Kamenskiy AV, Pipinos II, Dzenis YA, Phillips NY, Desyatova AS, Kitson J, Bowen R, MacTaggart JN (2015) Effects of age on the physiological and mechanical characteristics of human femoropopliteal arteries. Acta Biomater 11:304–313
Lee LC, Wenk J, Klepach D, Kassab GS, Guccione JM (2016) Structural-basedmodels of ventricular myocardium. In: Kassab GS, Sacks MS (eds) Structure-based mechanics of tissues and organs. Springer, New York, pp 249–264
Fehervary H, Smoljkić M, Sloten JV, Famaey N (2016) Planar biaxial testing of soft biological tissue using rakes: a critical analysis of protocol and fitting process. J Mech Beh Biomed Mater 61:135–151
Valanis KC, Landel RF (1967) The stored energy of a hyperelastic material in terms of the extension ratios. J Appl Phys 38:2997
Sussman T, Bathe KJ (2009) A model of incompressible isotropic hyperelastic material behavior using spline interpolations of tension-compression test data. Commun Num Meth Eng 25(1):53–63
Kearsley EA, Zapas LJ (1980) Some methods of measurement of an elastic strain energy function of the valanis-landel type. J Rheol 24:483
ADINA Theory and Modelling Guide (2012) ARD 12–8 (2012). ADINA R&D, Watertown
Latorre M, Montáns FJ (2013) Extension of the Sussman-Bathe spline-based hyperelastic model to incompressible transversely isotropic materials. Comput Struct 122:13–26
Latorre M, Montáns FJ (2014) What-you-prescribe-is-what-you-get orthotropic hyperelasticity. Comput Mech 53(6):1279–1298
Latorre M, Montáns FJ (2014) On the interpretation of the logarithmic strain tensor in an arbitrary system of representation. Int J Solid Struct 51(7):1507–1515
Fiala Z (2015) Discussion of “ On the interpretation of the logarithmic strain tensor in an arbitrary system of representation” by M. Latorre and F.J. Montáns. Int J Solid Struct 56—-57:290–291
Latorre M, Montáns FJ (2015) Response to Fiala’s comments on “On the interpretation of the logarithmic strain tensor in an arbitrary system of representation”. Int J Solid Struct 56–57:292
Neff P, Eidel B, Martin RJ (2015) Geometry of logarithmic strain measures in solid mechanics. arXiv:1505.02203 [MathDG]
Latorre M, Montáns FJ (2015) Anisotropic finite strain viscoelasticity based on the Sidoroff multiplicative decomposition and logarithmic strains. Comput Mech 56:503–531
Latorre M, Montáns FJ (2016) Fully anisotropic finite strain viscoelasticity based on a reverse multiplicative decomposition and logarithmic strains. Comput Struct 163:56–70
Miñano M, Montáns FJ (2015) A new approach to modeling isotropic damage for Mullins effect in hyperelastic materials. Int J Solid Struct 67–68:272–282
Latorre M, De Rosa E, Montáns FJ (2016) Understanding the need of the compression branch to characterize hyperelastic materials. Under review
Latorre M, Romero X, Montáns FJ (2016) The relevance of transverse deformation effects in modeling soft biological tissues. Int J Solid Struct 99:57–70
Romero X, Latorre M, Montáns FJ (2016) Determination of the WYPIWYG strain energy density of skin through finite element analysis of the experiments on circular specimens. Under review
Bower AF (2009) Applied mechanics of solids. CRC Press, Boca Ratón
Ogden RW (1972) Large deformation isotropic elasticity-on the correlation of theory and experiment for incompressible rubberlike solids. P R Soc London A Math 326(1567):565–584
Ogden RW (1973) Large deformation isotropic elasticity-on the correlation of theory and experiment for incompressible rubberlike solids. Ruber Chem Technol 46(2):398–416
Mooney M (1940) A theory of large elastic deformation. J Appl Phys 11:582–592
Hartmann S, Neff P (2003) Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility. Int J Solid Struct 40(11):2767–2791
Gent AN (1996) A new constitutive relation for rubber. Rubber Chem Technol 69(1):59–61
Blatz PJ, Ko WL (1962) Application of finite elastic theory to the deformation of rubbery materials. T Soc Rheol 6:223–251
Latorre M, Montáns FJ (2015) Material-symmetries congruency in transversely isotropic and orthotropic hyperelastic materials. Eur J Mech A Solid 53:99–106
Latorre M, Montáns FJ (2016) Stress and strain mapping tensors and general work-conjugacy in large strain continuum mechanics. Appl Math Model 40(5–6):3938–3950
Dierckx P (1993) Curve and surface fitting with splines. Oxford University Press, Oxford
Eubank RL (1999) Nonparametric regression and spline smoothing. Marcel Dekker, New York
Weinert HL (2013) Fast compact algorithms and software for spline smoothing. Springer, New York
Latorre M, Montáns FJ (2017) WYPIWYG hyperelasticity: splines are fine and smoothing is soothing (forthcoming)
Caminero MA, Montáns FJ, Bathe KJ (2011) Modeling large strain anisotropic elasto-plasticity with logarithmic strain and stress measures. Comput Struct 89(11):826–843
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