Horgan, C. O.; Murphy, J. G. Incompressible transversely isotropic hyperelastic materials and their linearized counterparts. (English) Zbl 1465.74025 J. Elasticity 143, No. 1, 187-194 (2021). MSC: 74B20 74A40 74E10 PDFBibTeX XMLCite \textit{C. O. Horgan} and \textit{J. G. Murphy}, J. Elasticity 143, No. 1, 187--194 (2021; Zbl 1465.74025) Full Text: DOI
Destrade, Michel; Murphy, Jeremiah; Saccomandi, Giuseppe Rivlin’s legacy in continuum mechanics and applied mathematics. (English) Zbl 1425.74007 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2144, Article ID 20190090, 10 p. (2019). MSC: 74-03 01A60 01A70 PDFBibTeX XMLCite \textit{M. Destrade} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2144, Article ID 20190090, 10 p. (2019; Zbl 1425.74007) Full Text: DOI
Horgan, C. O.; Murphy, J. G. Magic angles for fibrous incompressible elastic materials. (English) Zbl 1402.74013 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2211, Article ID 20170728, 17 p. (2018). MSC: 74B05 PDFBibTeX XMLCite \textit{C. O. Horgan} and \textit{J. G. Murphy}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2211, Article ID 20170728, 17 p. (2018; Zbl 1402.74013) Full Text: DOI
Murphy, J. G.; Rogerson, G. A. Modelling slight compressibility for hyperelastic anisotropic materials. (English) Zbl 1451.74050 J. Elasticity 131, No. 2, 171-181 (2018). MSC: 74B20 74E10 PDFBibTeX XMLCite \textit{J. G. Murphy} and \textit{G. A. Rogerson}, J. Elasticity 131, No. 2, 171--181 (2018; Zbl 1451.74050) Full Text: DOI Link
Horgan, Cornelius O.; Murphy, Jeremiah G. Extension or compression induced twisting in fiber-reinforced nonlinearly elastic circular cylinders. (English) Zbl 1348.74050 J. Elasticity 125, No. 1, 73-85 (2016). MSC: 74B20 74G55 PDFBibTeX XMLCite \textit{C. O. Horgan} and \textit{J. G. Murphy}, J. Elasticity 125, No. 1, 73--85 (2016; Zbl 1348.74050) Full Text: DOI
Murphy, J. G.; Saccomandi, G. Exploitation of the linear theory in the non-linear modelling of soft tissue. (English) Zbl 07278986 Math. Mech. Solids 20, No. 2, 190-203 (2015). MSC: 74-XX PDFBibTeX XMLCite \textit{J. G. Murphy} and \textit{G. Saccomandi}, Math. Mech. Solids 20, No. 2, 190--203 (2015; Zbl 07278986) Full Text: DOI
Destrade, M.; Horgan, C. O.; Murphy, J. G. Dominant negative Poynting effect in simple shearing of soft tissues. (English) Zbl 1360.74110 J. Eng. Math. 95, 87-98 (2015). MSC: 74L15 PDFBibTeX XMLCite \textit{M. Destrade} et al., J. Eng. Math. 95, 87--98 (2015; Zbl 1360.74110) Full Text: DOI arXiv
Gilchrist, M. D.; Rashid, B.; Murphy, J. G.; Saccomandi, G. Quasi-static deformations of biological soft tissue. (English) Zbl 07280065 Math. Mech. Solids 18, No. 6, 622-633 (2013). MSC: 74-XX PDFBibTeX XMLCite \textit{M. D. Gilchrist} et al., Math. Mech. Solids 18, No. 6, 622--633 (2013; Zbl 07280065) Full Text: DOI Link
Destrade, M.; MacDonald, B.; Murphy, J. G.; Saccomandi, G. At least three invariants are necessary to model the mechanical response of incompressible, transversely isotropic materials. (English) Zbl 1311.74117 Comput. Mech. 52, No. 4, 959-969 (2013). MSC: 74S05 74L15 92C10 74B20 PDFBibTeX XMLCite \textit{M. Destrade} et al., Comput. Mech. 52, No. 4, 959--969 (2013; Zbl 1311.74117) Full Text: DOI arXiv
Horgan, Cornelius O.; Murphy, Jeremiah G. On the modeling of extension-torsion experimental data for transversely isotropic biological soft tissues. (English) Zbl 1243.74016 J. Elasticity 108, No. 2, 179-191 (2012). MSC: 74C15 74B20 74G55 PDFBibTeX XMLCite \textit{C. O. Horgan} and \textit{J. G. Murphy}, J. Elasticity 108, No. 2, 179--191 (2012; Zbl 1243.74016) Full Text: DOI
Horgan, Cornelius O.; Murphy, Jeremiah G. Extension and torsion of incompressible nonlinearly elastic solid circular cylinders. (English) Zbl 1269.74024 Math. Mech. Solids 16, No. 5, 482-491 (2011). MSC: 74B20 PDFBibTeX XMLCite \textit{C. O. Horgan} and \textit{J. G. Murphy}, Math. Mech. Solids 16, No. 5, 482--491 (2011; Zbl 1269.74024) Full Text: DOI
Horgan, Cornelius O.; Murphy, Jeremiah G. On the normal stresses in simple shearing of fiber-reinforced nonlinearly elastic materials. (English) Zbl 1269.74023 J. Elasticity 104, No. 1-2, 343-355 (2011). MSC: 74B20 74E30 PDFBibTeX XMLCite \textit{C. O. Horgan} and \textit{J. G. Murphy}, J. Elasticity 104, No. 1--2, 343--355 (2011; Zbl 1269.74023) 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 PDFBibTeX XMLCite \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
Horgan, C. O.; Murphy, J. G. The effects of compressibility on inhomogeneous deformations for a class of almost incompressible isotropic nonlinearly elastic materials. (English) Zbl 1147.74007 J. Elasticity 88, No. 3, 207-221 (2007). MSC: 74B20 74A20 PDFBibTeX XMLCite \textit{C. O. Horgan} and \textit{J. G. Murphy}, J. Elasticity 88, No. 3, 207--221 (2007; Zbl 1147.74007) Full Text: DOI
Horgan, Cornelius O.; Murphy, Jeremiah G. Limiting chain extensibility constitutive models of Valanis-Landel type. (English) Zbl 1106.74014 J. Elasticity 86, No. 2, 101-111 (2007). MSC: 74B20 74A20 PDFBibTeX XMLCite \textit{C. O. Horgan} and \textit{J. G. Murphy}, J. Elasticity 86, No. 2, 101--111 (2007; Zbl 1106.74014) Full Text: DOI
Sandiford, K. J.; Rogerson, G. A.; Murphy, J. G. Two-dimensional motion in a Bell-constrained plate. (English) Zbl 1213.74183 Int. J. Eng. Sci. 44, No. 5-6, 379-394 (2006). MSC: 74J30 74B15 74B20 74K20 PDFBibTeX XMLCite \textit{K. J. Sandiford} et al., Int. J. Eng. Sci. 44, No. 5--6, 379--394 (2006; Zbl 1213.74183) Full Text: DOI
Horgan, Cornelius O.; Murphy, Jeremiah G. Plane strain bending of cylindrical sectors of admissible compressible hyperelastic materials. (English) Zbl 1090.74011 J. Elasticity 81, No. 2, 129-151 (2005). MSC: 74B20 74G05 PDFBibTeX XMLCite \textit{C. O. Horgan} and \textit{J. G. Murphy}, J. Elasticity 81, No. 2, 129--151 (2005; Zbl 1090.74011) Full Text: DOI
Horgan, Cornelius O.; Murphy, Jeremiah A Lie group analysis of the axisymmetric equations of finite elastostatics for compressible materials. (English) Zbl 1221.74010 Math. Mech. Solids 10, No. 3, 311-333 (2005). MSC: 74B20 74G05 22E70 PDFBibTeX XMLCite \textit{C. O. Horgan} and \textit{J. Murphy}, Math. Mech. Solids 10, No. 3, 311--333 (2005; Zbl 1221.74010) Full Text: DOI
Horgan, Cornelius O.; Murphy, Jeremiah G. Invariance of the equilibrium equations of finite elasticity for compressible materials. (English) Zbl 1070.74007 J. Elasticity 77, No. 3, 187-200 (2004). MSC: 74B20 74G55 PDFBibTeX XMLCite \textit{C. O. Horgan} and \textit{J. G. Murphy}, J. Elasticity 77, No. 3, 187--200 (2004; Zbl 1070.74007) Full Text: DOI