Chercheurs

Technologie / HORGAN, CORNELIUS O.

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Position

Wills Johnson Professor of Applied Mathematics and Mechanics in the Department of Civil Engineering at the School of Engineering and Applied Science, University of Virginia.

Thèmes de recherche

For many years, Horgan's research has focused on what he describes as the "synergy between applied mathematics, applied mechanics and the mechanical behavior of solid materials and structures." In this long-standing relationship, mathematical models simulate the complex behavior of various solid materials and structures. His recent work deals with the nonlinear behavior of elastic materials.

Prix et récompenses

In 1983 he was awarded the degree of Doctor of Science (.) by the National University of Ireland, in 1985 was elected Fellow of the American Academy of Mechanics and was elected Fellow of ASME in 1992. He served on the Board of Directors, Society of Engineering Science from 1993-1999 and on the Executive Committee of the International Society for the Interaction of Mechanics and Mathematics (ISIMM) from 2002-2005.

He was awarded the A. C. Eringen medal by the Society of Engineering Science in 2005 in recognition of sustained outstanding achievements in Engineering Science.

He has been an active member of the Applied Mechanics Division of ASME, and was founding chairman of the Elasticity Committee of that division from 1981 to 1986. He is one of the managing and founding editors of Mathematics and Mechanics of Solids and serves on the Editorial Boards of the International J. of Nonlinear Mechanics and of the J. of Elasticity.

Publications

Book Chapters

Variational methods for eigenvalue problems with discontinuous coefficients, (with S. Nemat-Nasser). Invited paper published in Mechanics To-Day (S. Nemat- Nasser, editor), Vol. 5 (1980), (Pergamon Press), [Special Issue celebrating the 65th Birthday of Eric Reissner], pp. 365–376.

Recent developments concerning Saint-Venant’s principle, (with J.K. Knowles). Invited review article in Advances in Applied Mechanics (T.Y. Wu and J.W. Hutchinson, editors), Vol. 23, 1983, Academic Press, pp. 179–269.

Decay estimates for a class of second-order quasilinear equations in three dimensions,(with L.E. Payne). Invited paper in Analysis and Thermomechanics (Walter Noll 60th Birthday Volume) (edited by B.D.Coleman, M. Feinberg and J. Serrin), Springer-Verlag, Berlin, 1987, pp.13–23.

On Saint-Venant’s principle in finite anti-plane shear: An energy approach, (with L.E. Payne). Invited paper in Mechanics and Thermodynamics of Continua
(B.D. Coleman 60th Birthday Volume) (edited by H. Markovitz, V.J. Mizel and D.R. Owen), Springer-Verlag, Berlin, 1991, pp. 269–299.

The influence of geometric perturbations on the decay of Saint-Venant end effects
in linear isotropic elasticity, (with L.E. Payne). Invited paper in Partial
Differential Equations with Real Analysis (ed. by H. Begehr and A. Jeffrey), Pittman Research Notes in Mathematics Series, Vol. 263, Longman, Essex, 1992, pp. 187–218.

Decay estimates for boundary-value problems in linear and nonlinear continuum mechanics. Invited review paper in Mathematical Problems in Elasticity (ed. by R. Russo), Advances in Mathematics for Applied Science (ed. by G.P. Galdi), World Scientific Publishing, Singapore, 1996, pp. 47–89.

Saint-Venant end effects for anisotropic materials, (with L.A. Carlsson). Invited
Chapter in Comprehensive Composite Materials (ed. by A. Kelly and C. Zweben), Volume 5, Elsevier Science Ltd., Oxford, 2000, pp. 5–21.

Equilibrium solutions for compressible nonlinearly elastic materials. Invited Chapter in Nonlinear Elasticity: Theory and Applications (ed. by R.W. Ogden and
Y. Fu), London Mathematical Society Lecture Notes No. 283, Cambridge University Press, 2001, pp. 135–159.

Recent mathematical developments for functionally graded linearly elastic materials. Invited Chapter in Integral Methods in Science and Engineering (ed. by P. Schiavone, C. Constanda and A. Mioduchowski), Birkhauser, Boston, 2002,
pp. 123–130.

Refereed journals

Spatial decay of transient end effects in functionally graded heat conducting
materials, (with R. Quintanilla), Quarterly of Applied Mathematics, 59,
2001, 529–542.

Large deformations of a rotating solid cylinder for non-Gaussian isotropic, incompressible hyperelastic materials, (with G. Saccomandi), Journal of Applied
Mechanics, 68, 2001, 115–117.

Anti-plane shear deformations for non-Gaussian isotropic, incompressible
hyperelastic materials, (with G. Saccomandi), Proceedings of the Royal Society of London, Series A, 457, 2001, 1999–2017.

Saint-Venant end effects in anti-plane shear for a class of linear piezoelectric materials, (with A. Borrelli and M.C. Patria), Journal of Elasticity, 64, 2001, 217–236.

Saint-Venant’s principle for anti-plane shear deformations of linear piezoelectric materials, (with A. Borrelli and M.C. Patria), SIAM Journal on Applied Mathematics, 62, 2002, 2027–2044.

A two-point boundary value problem for the axial shear of hardening isotropic
incompressible nonlinearly elastic materials, (with G. Saccomandi and I. Sgura), SIAM Journal on Applied Mathematics, 62, 2002, 1712–1727.

Constitutive modeling of rubber-like and biological materials with limiting
chain extensibility, (with G. Saccomandi), Mathematics and Mechanics of Solids, 7, 2002, 353–371.

Internally pressurized radially polarized piezoelectric cylinders, (with
D. Galic), Journal of Elasticity, 66, 2002, 257–272.

A molecular-statistical basis for the Gent constitutive model of rubber elasticity, (with G. Saccomandi), Journal of Elasticity, 68, 2002, 167–176.

Finite thermoelasticity with limiting chain extensibility, (with G. Saccomandi), Journal of the Mechanics and Physics of Solids, 51, 2003, 1127–146.

A description of arterial wall mechanics using limiting chain extensibility
constitutive models, (with G. Saccomandi), Biomechanics and Modeling in
Mechanobiology, 1, 2003, 251–266.

End effects for pre-stressed and pre-polarized piezoelectric solids in antiplane shear, (with A. Borrelli and M.C. Patria), Journal of Applied Mathematics and Physics (ZAMP), 54, 2003, 797–806.

The stress response of rotating radially polarized piezoelectric cylinders,
(with D. Galic), Journal of Applied Mechanics, 70, 2003, 426–435.

A Saint-Venant principle for shear band localization, (with W.E. Olmstead), Journal of Applied Mathematics and Physics (ZAMP), 54, 2003, 807–814.

Helical shear for hardening generalized neo-Hookean materials, (with G. Saccomandi), Mathematics and Mechanics of Solids, 8, 2003, 539–559.

A Lie group analysis of the axisymmetric equations of finite elastostatics for
compressible materials, (with J.G. Murphy), Mathematics and Mechanics of
Solids (in press).

Exponential decay of end effects in anti-plane shear for functionally graded
piezoelectric materials, (with A. Borrelli and M.C. Patria), Proceedings of the Royal Society of London, Series A (in press).

A theory of stress softening of elastomers based on finite chain extensibility, (with R.W. Ogden and G. Saccomandi), Proceedings of the Royal Society of London, Series A (in press).

Spatial decay of transient end effects for nonstandard linear diffusion problems, (with R. Quintanilla), IMA Journal on Applied Mathematics (in press).

Spatial behaviour of solutions of the dual-phase-lag heat equation, (with
R. Quintanilla), Mathematical Methods in the Applied Sciences (in press).

Superposition of generalized plane strain on anti-plane shear deformations
in isotropic incompressible hyperelastic materials, (with G. Saccomandi), Journal of Elasticity, 73, 2003, 221–235.