Browsing School of Mathematics, Statistics and Applied Mathematics by Author "Murphy, J.G."
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At least three invariants are necessary to model the mechanical response of incompressible, transversely isotropic materials
Destrade, Michel; Mac Donald, B.; Murphy, J.G.; Saccomandi, Giuseppe (Springer, 20130418)The modelling of offaxis simple tension experiments on transversely isotropic nonlinearly elastic materials is considered. A testing protocol is proposed where normal force is applied to one edge of a rectangular specimen ... 
Deficiencies in numerical models of anisotropic nonlinearly elastic materials
Ní Annaidh, Aisling; Destrade, Michel; Gilchrist, M.; Murphy, J.G. (Springer, 201308)Incompressible nonlinearly hyperelastic materials are rarely simulated in finite element numerical experiments as being perfectly incompressible because of the numerical difficulties associated with globally satisfying ... 
Extreme softness of brain matter in simple shear
Destrade, Michel; Murphy, J.G.; Gilchrist, M.; Rashid, J.G.; Saccomandi, Giuseppe (Elsevier, 20150313)We show that porcine brain matter can be modelled accurately as a very soft rubberlike material using the MooneyRivlin strain energy function, up to strains as high as 60%. This result followed from simple shear experiments ...