Mechanical and Manufacturing Engineering

Research Interests:

Mathematical modelling; nonlinear elasticity; continuum mechanics; Lie group analysis

Selected Peer Reviewed Journals

• Dr. Jeremiah G Murphy. .
• Dr. Jeremiah G Murphy. 2010. Simple shearing of incompressible and slightly compressible isotropic nonlinearly elastic materials. Journal Of Elasticity,
• Dr. Jeremiah G Murphy. 2010. On deforming a sector of a circular cylindrical tube into an intact tube: existence, uniqueness, and stability. International Journal Of Engineering Science,
• Dr. Jeremiah G Murphy. 2010. Onset of non-linearity in the elastic bending of beams. Journal Of Applied Mechanics,
• Dr. Jeremiah G Murphy. 2010. Extension and torsion of incompressible nonlinearly elastic solid circular cylinders. Mathematics And Mechanics Of Solids,
• Dr. Jeremiah G Murphy. 2010. Stability of radially symmetric deformations of spheres of compressible nonlinearly elastic materials,. Mathematics And Mechanics Of Solids,
• Jeremiah G Murphy. 2010. Bimodular rubber buckles early in bending, with M. Destrade,. Mechanics Of Materials,
• Dr. Jeremiah G Murphy. 2009. Compression tests and constitutive models for the slight compressibility of elastic rubber-like materials. International Journal Of Engineering Science,
• Dr. Jeremiah G Murphy. 2009. Constitutive modeling for moderate deformations of slightly compressible rubber. Journal Of Rehabilitation Medicine,
• Dr. Jeremiah G Murphy. 2009. A generalization of Hencky¿s strain-energy density to model the large deformations of slightly compressible solid rubbers. International Journal Of Solids And Structures,
• Dr. Jeremiah G Murphy. 2009. A generalization of Hencky¿s strain-energy density to model the large deformations of slightly compressible solid rubbers. Mechanics Of Materials,
• Dr. Jeremiah G Murphy. 2009. On the volumetric part of strain-energy functions used in the constitutive modeling of slightly compressible solid rubbers. International Journal Of Solids And Structures,
• Dr. Jeremiah G Murphy. 2009. Surface waves and surface stability for a pre-stretched, unconstrained, non-linearly elastic half-space. International Journal Of Engineering Science,
• Dr. Jeremiah G Murphy. 2007. Linear isotropic relations in finite hyperelasticity: some general results. Journal Of Elasticity,
• Dr. Jeremiah G Murphy. 2007. The effects of compressibility on inhomogeneous deformations for an almost incompressible isotropic nonlinearly elastic material. Journal Of Elasticity,
• Dr. Jeremiah G Murphy. 2007. Limiting chain extensibility constitutive models of Valanis-Landel type. Journal Of Elasticity,
• Dr. Jeremiah G Murphy. 2007. Constitutive models for almost incompressible isotropic elastic rubber-like materials. Journal Of Elasticity,
• C.O. Horgan and J.G. Murphy. 2005. A Lie Group Analysis of the Axisymmetric Equations of Finite Elastostatics for Compressible Materials. Mathematics And Mechanics Of Solids, *,
• C.O. Horgan and J.G. Murphy. 2005. Lie Group Analysis and Plane Strain Bending of Cylindrical Sectors for Compressible Nonlinearly Elastic Materials. I.m.a. Journal Of Applied Mathematics, *,
• J.G. Murphy. 2005. Some Remarks on Kinematic Modelling of Limiting Chain Extensibility. Mathematics And Mechanics Of Solids, *,
• J.G. Murphy and G.A. Rogerson. 2002. A method to model simple tension experiments using finite elasticity theory with an application to some polyurethane foams. International Journal Of Engineering Science, 40,, pp499-510.
• J.G. Murphy. 2000. Strain energy functions for a Poisson power law function in simple tension of compressible hyperelastic materials. Journal Of Elasticity, 60,, pp151-164.
• J.G. Murphy and G.A. Rogerson. 1998. Surface waves in nearly incompressible materials. Mechanics Research Communications, 25(5),, pp493-502.
• J.G. Murphy. 1997. A family of solutions describing spherical inflation in finite compressible elasticity. Quarterly Journal Of Mechanics And Applied Mathematics, 50,, pp35-45.
• J.G. Murphy. 1997. Irrotational deformations in finite, compressible elasticity. Mathematics And Mechanics Of Solids, 2,, pp491-502.
• J.G. Murphy and S. Biwa. 1997. Nonmonotonic cavity growth in finite compressible elasticity. International Journal Of Solids And Structures, 34,, pp3859-3872.
• J.G. Murphy. 1996. A family of solutions describing plane strain cylindrical inflation in finite compressible elasticity. Journal Of Elasticity, 45,, pp1-11.
• M.M. Carroll, J.G. Murphy and F.J. Rooney. 1994. Plane stress problems for compressible materials. International Journal Of Solids And Structures, 31,, pp1597-1607.
• J.G. Murphy. 1993. Inflation and eversion of spherical shells of a special compressible material. Journal Of Elasticity, 30,, pp251-276.
• J.G. Murphy and M.M. Carroll. 1993. Azimuthal shearing of special compressible materials. Proceedings Of The Royal Irish Academy, Section A, 93,, pp209-230.
• J. G. Murphy. 1992. Some new closed form solutions describing spherical inflation in compressible finite elasticity. Ima Journal Of Applied Mathematics, 48,, pp305-316.
• J.G. Murphy and F.J. Rooney. 1992. Rotation of cylinders of special compressible materials. International Journal Of Engineering Science, 30,, pp213-221.

Selected Non-peer Reviewed Journals

• C.O. Horgan and J.G. Murphy. 2003. LGA analysis of axisymmetric problems in nonlinear elasticity (Invited paper). Mathematics and Mechanics of Solids, To appear,

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