Edit Profile (opens in new tab) Horgan, Cornelius Oliver Co-Author Distance Author ID: horgan.cornelius-o Published as: Horgan, C. O.; Horgan, Cornelius O. Homepage: http://people.virginia.edu/~coh8p/1/2/horgan.html External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 179 Publications since 1969 1 Further Contribution Biographic References: 6 Publications Co-Authors: 51 Co-Authors with 154 Joint Publications 665 Co-Co-Authors all top 5 Co-Authors 24 single-authored 29 Murphy, Jeremiah G. 18 Payne, Lawrence Edward 15 Saccomandi, Giuseppe 11 Wheeler, Lewis T. 10 Abeyaratne, Rohan C. 7 Polignone, Debra A. 5 Borrelli, Alessandra 5 Knowles, James K. 5 Patria, Maria Cristina 4 Chan, Albert M. 4 Olmstead, W. Edward 4 Quintanilla de Latorre, Ramón 3 Anssari-Benam, Afshin 3 Baxter, Sarah C. 3 Chung, Dong-Teak 3 Hayes, Michael Alphonsus 3 Kanner, Landon M. 3 Miller, Kristin L. 3 Nemat-Nasser, Sia 3 Simmonds, James G. 2 Chou-Wang, M.-S. 2 Galich, D. N. 2 Jafari, Amir Homayoun 2 Pence, Thomas J. 2 Spence, John P. 1 Aboudi, Jacob 1 Andry, Albert N. jun. 1 Beaumont, P. W. R. 1 Bert, Charles W. 1 Carroll, Michael M. 1 Casey, James 1 Chou, Tsu-Wei 1 Christensen, Richard M. 1 Cowin, Stephen C. 1 Crafter, E. C. 1 Daniel, Isaac M. 1 Datta, Subhendu K. 1 Destrade, Michel 1 Dharani, L. R. 1 Duke, J. C. 1 Dundurs, John 1 Dvorak, George J. 1 Gallo, R. L. 1 Gore, J. G. 1 Hashin, Zvi 1 Heise, R. M. 1 Herakovich, Carl T. 1 Herrmann, Klaus P. 1 Hyer, Micahel W. 1 Iwakuma, Tetsuo 1 Ledbetter, H. M. 1 McCullough, R. L. 1 Mehrabadi, Morteza M. 1 Nachlinger, R. Ray 1 Nuismer, R. J. jun. 1 Ogden, Raymond William 1 Pagano, Nicholas J. 1 Philippin, Gérard A. 1 Pindera, Marek-Jerzy 1 Plunkett, Robert L. 1 Poursartip, Anoush 1 Reddy, Junuthula Narasimha 1 Reifsnider, Kenneth L. 1 Rosen, B. W. 1 Rotem, A. 1 Savoia, Marco 1 Scalpato, M. R. 1 Schaefer, Philip W. 1 Schwartz, Joseph G. 1 Sendeckyj, G. P. 1 Sgura, Ivonne 1 Shah, Arvind H. 1 Siegel, David 1 Silling, Stewart A. 1 Smayda, Michael G. 1 Soni, Som Raj 1 Starnes, James H. jun. 1 Stinchcomb, W. W. 1 Stroud, W. Jefferson 1 Taya, Minoru 1 Tullini, Nerio 1 Turteltaub, Matias J. 1 Vafeades, P. 1 Villaggio, Piero 1 Vitral, Eduardo 1 Wijeyewickrema, Anil C. 1 Willis, John Raymond 1 Wu, E. M. all top 5 Serials 57 Journal of Elasticity 17 Quarterly of Applied Mathematics 16 International Journal of Solids and Structures 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Archive for Rational Mechanics and Analysis 8 Journal of Applied Mechanics 8 Mathematics and Mechanics of Solids 5 SIAM Journal on Applied Mathematics 4 IMA Journal of Applied Mathematics 4 Journal of Mathematical Analysis and Applications 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 International Journal of Engineering Science 3 Journal of Engineering Mathematics 3 Journal of the Mechanics and Physics of Solids 2 International Journal of Non-Linear Mechanics 2 SIAM Review 2 European Journal of Mechanics. A. Solids 1 Journal of Sound and Vibration 1 Mathematical Methods in the Applied Sciences 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Utilitas Mathematica 1 Advances in Applied Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Differential and Integral Equations 1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 1 SIAM Journal on Mathematical Analysis 1 Notices of the American Mathematical Society 1 Proceedings of the Cambridge Philosophical Society 1 Advances in Applied Mechanics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 156 Mechanics of deformable solids (74-XX) 50 Partial differential equations (35-XX) 9 Ordinary differential equations (34-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 4 Fluid mechanics (76-XX) 4 Biology and other natural sciences (92-XX) 3 Potential theory (31-XX) 3 Integral equations (45-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 161 Publications have been cited 1,981 times in 1,003 Documents Cited by ▼ Year ▼ Recent developments concerning Saint-Venant’s principle. Zbl 0569.73010 Horgan, Cornelius O.; Knowles, James K. 143 1983 Korn’s inequalities and their applications in continuum mechanics. Zbl 0840.73010 Horgan, C. O. 100 1995 Anti-plane shear deformations in linear and nonlinear solid mechanics. Zbl 0824.73018 Horgan, C. O. 65 1995 On inequalities of Korn, Friedrichs and Babuska-Aziz. Zbl 0512.73017 Horgan, C. O.; Payne, L. E. 55 1983 Spatial decay estimates for the Navier-Stokes equations with application to the problem of entry flow. Zbl 0389.76037 Horgan, C. O.; Wheeler, L. T. 54 1978 The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. Zbl 0965.74012 Horgan, C. O.; Chan, A. M. 49 1999 Spatial decay estimates in transient heat conduction. Zbl 0553.35037 Horgan, C. O.; Payne, L. E.; Wheeler, L. T. 47 1984 A molecular-statistical basis for the Gent constitutive model of rubber elasticity. Zbl 1073.74007 Horgan, Cornelius O.; Saccomandi, Giuseppe 47 2002 A bifurcation problem for a compressible nonlinearly elastic medium: Growth of a micro-void. Zbl 0585.73017 Horgan, C. O.; Abeyaratne, R. 45 1986 A new constitutive theory for fiber-reinforced incompressible nonlinearly elastic solids. Zbl 1176.74026 Horgan, Cornelius O.; Saccomandi, Giuseppe 36 2005 Spatial behaviour of solutions of the dual-phase-lag heat equation. Zbl 1072.35113 Horgan, C. O.; Quintanilla, R. 33 2005 Cavitation for incompressible anisotropic nonlinearly elastic spheres. Zbl 0856.73024 Polignone, Debra A.; Horgan, Cornelius O. 29 1993 Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Zbl 1063.74012 Horgan, Cornelius O.; Saccomandi, Giuseppe 28 2002 Spatial decay of transient and effects in functionally graded heat conducting materials. Zbl 1018.74010 Horgan, C. O.; Quintanilla, R. 28 2001 Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility. Zbl 0982.74011 Horgan, Cornelius O.; Saccomandi, Giuseppe 27 1999 The finite deformation of internally pressurized hollow cylinders and spheres for a class of compressible elastic materials. Zbl 0603.73038 Chung, D.-T.; Horgan, C. O.; Abeyaratne, R. 25 1986 Constitutive models for compressible nonlinearly elastic materials with limiting chain extensibility. Zbl 1076.74008 Horgan, Cornelius O.; Saccomandi, Giuseppe 24 2004 A theory of stress softening of elastomers based on finite chain extensibility. Zbl 1070.74008 Horgan, Cornelius O.; Ogden, Ray W.; Saccomandi, Giuseppe 24 2004 Finite strain solutions for a compressible elastic solid. Zbl 0716.73037 Carroll, M. M.; Horgan, C. O. 23 1990 The pressurized hollow sphere problem in finite elastostatics for a class of compressible materials. Zbl 0546.73033 Abeyaratne, R.; Horgan, C. O. 22 1984 Torsion of functionally graded isotropic linearly elastic bars. Zbl 0947.74029 Horgan, C. O.; Chan, A. M. 22 1999 Finite thermoelasticity with limiting chain extensibility. Zbl 1049.74019 Horgan, Cornelius O.; Saccomandi, Giuseppe 21 2003 Void nucleation and growth for compressible non-linearly elastic materials: An example. Zbl 0755.73026 Horgan, C. O. 20 1992 Plane entry flows and energy estimates for the Navier-Stokes equations. Zbl 0397.76025 Horgan, C. O. 20 1978 Decay estimates for second-order quasilinear partial differential equations. Zbl 0556.35053 Horgan, C. O.; Payne, L. E. 19 1984 The stress response of functionally graded isotropic linearly elastic rotating disks. Zbl 0970.74017 Horgan, C. O.; Chan, A. M. 19 1999 Decay estimates for the biharmonic equation with applications to Saint- Venant principles in plane elasticity and Stokes flows. Zbl 0692.35010 Horgan, C. O. 19 1989 Equilibrium solutions for compressible nonlinearly elastic materials. Zbl 0993.74008 Horgan, Cornelius O. 19 2001 Phragmén-Lindelöf type results for harmonic functions with nonlinear boundary conditions. Zbl 0790.31002 Horgan, C. O.; Payne, L. E. 19 1993 Antiplane shear deformations for homogeneous and inhomogeneous anisotropic linearly elastic solids. Zbl 0809.73016 Horgan, C. O.; Miller, K. L. 19 1994 Saint-Venant’s principle for antiplane shear deformations of linear piezoelectric materials. Zbl 1047.74019 Borrelli, A.; Horgan, C. O.; Patria, M. C. 19 2002 Remarks on ellipticity for the generalized Blatz-Ko constitutive model for a compressible nonlinearly elastic solid. Zbl 0852.73019 Horgan, C. O. 18 1996 Decay estimates for a class of nonlinear boundary value problems in two dimensions. Zbl 0678.35027 Horgan, C. O.; Payne, L. E. 17 1989 Anti-plane shear deformations for non-Gaussian isotropic, incompressible hyperelastic materials. Zbl 1041.74009 Horgan, Cornelius O.; Saccomandi, Giuseppe 17 2001 Simple shearing of incompressible and slightly compressible isotropic nonlinearly elastic materials. Zbl 1245.74004 Horgan, C. O.; Murphy, J. G. 16 2010 Void nucleation and growth for a class of incompressible nonlinearly elastic materials. Zbl 0703.73025 Chou-Wang, M.-S.; Horgan, C. O. 16 1989 Simple shearing of soft biological tissues. Zbl 1428.74156 Horgan, Cornelius O.; Murphy, Jeremiah G. 15 2011 Exponential decay of end effects in anti-plane shear for functionally graded piezoelectric materials. Zbl 1102.74018 Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina 15 2004 Pure torsion of compressible nonlinearly elastic circular cylinders. Zbl 0751.73014 Polignone, Debra A.; Horgan, Cornelius O. 15 1991 Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres. Zbl 0817.73037 Polignone, Debra A.; Horgan, Cornelius O. 15 1993 Eigenvalue problems associated with Korn’s inequalities. Zbl 0223.73011 Horgan, C. O.; Knowles, J. K. 14 1971 Cavitation in nonlinear elastodynamics for neo-Hookean materials. Zbl 0694.73005 Chou-Wang, M.-S.; Horgan, C. O. 14 1989 The effect of nonlinearity on a principle of Saint-Venant type. Zbl 0463.73007 Horgan, C. O.; Knowles, J. K. 14 1981 Saint-Venant end effects in antiplane shear for functionally graded linearly elastic materials. Zbl 1060.74023 Horgan, C. O.; Quintanilla, R. 14 2001 Pure azimuthal shear of isotropic, incompressible hyperelastic materials with limiting chain extensibility. Zbl 1345.74019 Horgan, Cornelius O.; Saccomandi, Giuseppe 13 2001 On the volumetric part of strain-energy functions used in the constitutive modeling of slightly compressible solid rubbers. Zbl 1167.74334 Horgan, Cornelius O.; Murphy, Jeremiah G. 13 2009 Exponential decay estimates for second-order quasi-linear elliptic equations. Zbl 0356.35033 Horgan, Cornelius O.; Wheeler, Lewis T. 13 1977 Cavity formation at the center of a composite incompressible nonlinearly elastic sphere. Zbl 0711.73042 Horgan, C. O.; Pence, T. J. 13 1989 Limiting chain extensibility constitutive models of Valanis-Landel type. Zbl 1106.74014 Horgan, Cornelius O.; Murphy, Jeremiah G. 12 2007 End effects in anti-plane shear for an inhomogeneous isotropic linearly elastic semi-infinite strip. Zbl 0941.74007 Chan, A. M.; Horgan, C. O. 12 1998 Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip. Zbl 0662.73006 Vafeades, P.; Horgan, C. O. 11 1988 The finite deformation of a pressurized circular tube for a class of compressible materials. Zbl 0539.73038 Jafari, A. H.; Abeyaratne, R.; Horgan, C. O. 11 1984 Initiation of localized plane deformations at a circular cavity in an infinite compressible nonlinearly elastic medium. Zbl 0574.73050 Abeyaratne, R.; Horgan, C. O. 11 1985 Pure azimuthal shear of compressible nonlinearly elastic circular tubes. Zbl 0813.73026 Polignone, Debra A.; Horgan, Cornelius O. 11 1994 Saint-Venant decay rates for an isotropic inhomogeneous linearly elastic solid in anti-plane shear. Zbl 0912.73010 Scalpato, M. R.; Horgan, C. O. 10 1997 On axisymmetric solutions for compressible nonlinearly elastic solids. Zbl 0836.73013 Horgan, Cornelius O. 10 1995 Void nucleation in tensile dead-loading of a composite incompressible nonlinearly elastic sphere. Zbl 0687.73017 Horgan, C. O.; Pence, T. J. 10 1989 Decay estimates for a class of second-order quasilinear equations in three dimensions. Zbl 0567.35016 Horgan, C. O.; Payne, L. E. 10 1984 Spatial decay estimates for the heat equation via the maximum principle. Zbl 0335.35055 Horgan, Cornelius O.; Wheeler, Lewis T. 10 1976 Inequalities of Korn and Friedrichs in elasticity and potential theory. Zbl 0308.35077 Horgan, Cornelius O. 10 1975 Integral bounds for solutions of nonlinear reaction-diffusion equations. Zbl 0349.35069 Horgan, Cornelius O. 10 1977 On extension and torsion of strain-stiffening rubber-like elastic circular cylinders. Zbl 1159.74324 Kanner, Landon M.; Horgan, Cornelius O. 10 2008 Eigenvalue estimates and the trace theorem. Zbl 0412.35073 Horgan, C. O. 10 1979 Strain energy density bounds for linear anisotropic elastic materials. Zbl 0773.73013 Mehrabadi, M. M.; Cowin, S. C.; Horgan, C. O. 10 1993 On the asymptotic behavior of solutions of linear second-order boundary- value problems on a semi-infinite strip. Zbl 0819.35014 Horgan, C. O.; Payne, L. E. 10 1993 Compression tests and constitutive models for the slight compressibility of elastic rubber-like materials. Zbl 1213.74075 Horgan, Cornelius O.; Murphy, Jeremiah G. 10 2009 Dominant negative Poynting effect in simple shearing of soft tissues. Zbl 1360.74110 Destrade, M.; Horgan, C. O.; Murphy, J. G. 10 2015 Pure axial shear of isotropic, incompressible nonlinearly elastic materials with limiting chain extensibility. Zbl 0988.74013 Horgan, Cornelius O.; Saccomandi, Giuseppe 9 1999 Lower bounds for free membrane and related eigenvalues. Zbl 0755.35081 Horgan, C. O.; Payne, L. E. 9 1990 Axisymmetric finite anti-plane shear of compressible nonlinearly elastic circular tubes. Zbl 0755.73047 Polignone, Debra A.; Horgan, Cornelius O. 9 1992 Saint-Venant’s principle and end effects in anisotropic elasticity. Zbl 0398.73009 Choi, I.; Horgan, C. O. 9 1977 A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy. Zbl 0817.73008 Horgan, Cornelius O.; Polignone, Debra A. 8 1995 Constitutive modeling and the trousers test for fracture of rubber-like materials. Zbl 1122.74494 Horgan, Cornelius O.; Schwartz, Joseph G. 8 2005 A two-dimensional Saint-Venant principle for second-order linear elliptic equations. Zbl 0346.35043 Wheeler, Lewis T.; Horgan, Cornelius O. 8 1976 A note on a bifurcation problem in finite plasticity related to void nucleation. Zbl 0618.73053 Chung, D.-T.; Horgan, C. O.; Abeyaratne, R. 8 1987 Some remarks on axisymmetric solutions in finite elastostatics for compressible materials. Zbl 0696.73026 Horgan, Cornelius O. 8 1989 Exponential decay estimates for a class of nonlinear Dirichlet problems. Zbl 0418.35017 Horgan, C. O.; Olmstead, W. E. 8 1979 Large deformations of a rotating solid cylinder for non-Gaussian isotropic, incompressible hyperelastic materials. Zbl 1110.74479 Horgan, C. O.; Saccomandi, G. 7 2001 Constitutive models for almost incompressible isotropic elastic rubber-like materials. Zbl 1151.74316 Horgan, C. O.; Murphy, J. G. 7 2007 Decay estimates for boundary-value problems in linear and nonlinear continuum mechanics. Zbl 0843.73014 Horgan, C. O. 7 1996 Torsion of incompressible fiber-reinforced nonlinearly elastic circular cylinders. Zbl 1273.74066 Horgan, Cornelius O.; Murphy, Jeremiah G. 7 2011 Saint-Venant end effects for plane deformations of linear piezoelectric solids. Zbl 1119.74386 Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina 7 2006 End effects for pre-stressed and pre-polarized piezoelectric solids in anti-plane shear. Zbl 1099.74516 Borelli, A.; Horgan, C. O.; Patria, M. C. 7 2003 On the domain of attraction for steady states in heat conduction. Zbl 0316.35054 Horgan, C. O.; Nachlinger, R. Ray 7 1976 Superposition of generalized plane strain on anti-plane shear deformations in isotropic incompressible hyperelastic materials. Zbl 1061.74007 Horgan, Cornelius O.; Saccomandi, Giuseppe 7 2003 Saint-Venant’s principle in linear isotropic elasticity for incompressible or nearly incompressible materials. Zbl 0907.73010 Horgan, C. O.; Payne, L. E. 7 1997 Saint-Venant end effects for plane deformation of sandwich strips. Zbl 0372.73005 Choi, I.; Horgan, C. O. 7 1978 Bounds on eigenvalues of Sturm-Liouville problems with discontinuous coefficients. Zbl 0408.34025 Horgan, C. O.; Nemat-Nasser, S. 7 1979 On the torsion of functionally graded anisotropic linearly elastic bars. Zbl 1128.74025 Horgan, Cornelius O. 7 2007 On the modeling of extension-torsion experimental data for transversely isotropic biological soft tissues. Zbl 1243.74016 Horgan, Cornelius O.; Murphy, Jeremiah G. 7 2012 A two-point boundary value problem for the axial shear of hardening isotropic incompressible nonlinearly elastic materials. Zbl 1022.74004 Horgan, Cornelius O.; Saccomandi, Giuseppe; Sgura, Ivonne 7 2002 The stress response of radially polarized rotating piezoelectric cylinders. Zbl 1110.74443 Galic, D.; Horgan, C. O. 6 2003 On the exponential decay of stresses in circular elastic cylinders subject to axisymmetric self-equilibrated end loads. Zbl 0164.55302 Knowles, J. K.; Horgan, C. O. 6 1969 On Korn’s inequality for incompressible media. Zbl 0269.73009 Horgan, Cornelius O. 6 1975 Plane strain bending of strain-stiffening rubber-like rectangular beams. Zbl 1159.74372 Kanner, Landon M.; Horgan, Cornelius O. 6 2008 A note on the spatial decay of a three-dimensional minimal surface over a semi-infinite cylinder. Zbl 0585.35004 Horgan, C. O. 6 1985 Constitutive models for atactic elastomers. Zbl 1093.74514 Horgan, Cornelius O.; Saccomandi, Giuseppe 6 2004 Asymptotic analysis of an end-loaded, transversely isotropic, elastic, semi-infinite strip weak in shear. Zbl 0764.73043 Horgan, C. O.; Simmonds, J. G. 6 1991 Saint-Venant end effects in anti-plane shear for classes of linear piezoelectric materials. Zbl 1101.74330 Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina 6 2001 Extension and torsion of rubber-like hollow and solid circular cylinders for incompressible isotropic hyperelastic materials with limiting chain extensibility. Zbl 1514.74008 Anssari-Benam, Afshin; Horgan, Cornelius O. 6 2022 Enhancement of protocols for simple shear of isotropic soft hyperelastic samples. Zbl 1523.74007 Horgan, C. O.; Murphy, J. G. 1 2023 Extension and torsion of rubber-like hollow and solid circular cylinders for incompressible isotropic hyperelastic materials with limiting chain extensibility. Zbl 1514.74008 Anssari-Benam, Afshin; Horgan, Cornelius O. 6 2022 A three-parameter structurally motivated robust constitutive model for isotropic incompressible unfilled and filled rubber-like materials. Zbl 1501.74004 Anssari-Benam, Afshin; Horgan, Cornelius O. 4 2022 On modelling simple shear for isotropic incompressible rubber-like materials. Zbl 1481.74071 Anssari-Benam, Afshin; Horgan, Cornelius O. 3 2021 On the fiber stretch in shearing deformations of fibrous soft materials. Zbl 1403.74012 Horgan, C. O.; Murphy, J. G. 4 2018 Magic angles for fibrous incompressible elastic materials. Zbl 1402.74013 Horgan, C. O.; Murphy, J. G. 2 2018 Extension or compression induced twisting in fiber-reinforced nonlinearly elastic circular cylinders. Zbl 1348.74050 Horgan, Cornelius O.; Murphy, Jeremiah G. 4 2016 Kinking instability in the torsion of stretched anisotropic elastomeric filaments. Zbl 1330.74021 Horgan, Cornelius O.; Murphy, Jeremiah G. 1 2016 Dominant negative Poynting effect in simple shearing of soft tissues. Zbl 1360.74110 Destrade, M.; Horgan, C. O.; Murphy, J. G. 10 2015 Reverse Poynting effects in the torsion of soft biomaterials. Zbl 1305.74021 Horgan, Cornelius O.; Murphy, Jeremiah G. 4 2015 Some unexpected behaviour in shear for elasticity models of arterial tissue that only use the \(I_{1}, I_{4}, I_{6}\) invariants. Zbl 1299.74026 Horgan, C. O.; Murphy, J. G. 1 2014 An anisotropic nonlinear elasticity model for tearing of fibrous soft biomaterials. Zbl 1528.74078 Horgan, Cornelius O.; Smayda, Michael G. 1 2013 On the modeling of extension-torsion experimental data for transversely isotropic biological soft tissues. Zbl 1243.74016 Horgan, Cornelius O.; Murphy, Jeremiah G. 7 2012 Simple shearing of soft biological tissues. Zbl 1428.74156 Horgan, Cornelius O.; Murphy, Jeremiah G. 15 2011 Torsion of incompressible fiber-reinforced nonlinearly elastic circular cylinders. Zbl 1273.74066 Horgan, Cornelius O.; Murphy, Jeremiah G. 7 2011 On the normal stresses in simple shearing of fiber-reinforced nonlinearly elastic materials. Zbl 1269.74023 Horgan, Cornelius O.; Murphy, Jeremiah G. 5 2011 Extension and torsion of incompressible nonlinearly elastic solid circular cylinders. Zbl 1269.74024 Horgan, Cornelius O.; Murphy, Jeremiah G. 2 2011 Simple shearing of incompressible and slightly compressible isotropic nonlinearly elastic materials. Zbl 1245.74004 Horgan, C. O.; Murphy, J. G. 16 2010 On the volumetric part of strain-energy functions used in the constitutive modeling of slightly compressible solid rubbers. Zbl 1167.74334 Horgan, Cornelius O.; Murphy, Jeremiah G. 13 2009 Compression tests and constitutive models for the slight compressibility of elastic rubber-like materials. Zbl 1213.74075 Horgan, Cornelius O.; Murphy, Jeremiah G. 10 2009 On extension and torsion of strain-stiffening rubber-like elastic circular cylinders. Zbl 1159.74324 Kanner, Landon M.; Horgan, Cornelius O. 10 2008 Plane strain bending of strain-stiffening rubber-like rectangular beams. Zbl 1159.74372 Kanner, Landon M.; Horgan, Cornelius O. 6 2008 Inhomogeneous shearing of strain-stiffening rubber-like hollow circular cylinders. Zbl 1421.74014 Kanner, Landon M.; Horgan, Cornelius O. 1 2008 Limiting chain extensibility constitutive models of Valanis-Landel type. Zbl 1106.74014 Horgan, Cornelius O.; Murphy, Jeremiah G. 12 2007 Constitutive models for almost incompressible isotropic elastic rubber-like materials. Zbl 1151.74316 Horgan, C. O.; Murphy, J. G. 7 2007 On the torsion of functionally graded anisotropic linearly elastic bars. Zbl 1128.74025 Horgan, Cornelius O. 7 2007 The effects of compressibility on inhomogeneous deformations for a class of almost incompressible isotropic nonlinearly elastic materials. Zbl 1147.74007 Horgan, C. O.; Murphy, J. G. 4 2007 Saint-Venant end effects for plane deformations of linear piezoelectric solids. Zbl 1119.74386 Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina 7 2006 A new constitutive theory for fiber-reinforced incompressible nonlinearly elastic solids. Zbl 1176.74026 Horgan, Cornelius O.; Saccomandi, Giuseppe 36 2005 Spatial behaviour of solutions of the dual-phase-lag heat equation. Zbl 1072.35113 Horgan, C. O.; Quintanilla, R. 33 2005 Constitutive modeling and the trousers test for fracture of rubber-like materials. Zbl 1122.74494 Horgan, Cornelius O.; Schwartz, Joseph G. 8 2005 Spatial decay of transient end effects for nonstandard linear diffusion problems. Zbl 1086.35059 Horgan, C. O.; Quintanilla, R. 5 2005 A Lie group analysis of the axisymmetric equations of finite elastostatics for compressible materials. Zbl 1221.74010 Horgan, Cornelius O.; Murphy, Jeremiah 4 2005 Lie group analysis and plane strain bending of cylindrical sectors for compressible nonlinearly elastic materials. Zbl 1151.74317 Horgan, Cornelius O.; Murphy, Jeremiah G. 4 2005 Plane strain bending of cylindrical sectors of admissible compressible hyperelastic materials. Zbl 1090.74011 Horgan, Cornelius O.; Murphy, Jeremiah G. 2 2005 Constitutive models for compressible nonlinearly elastic materials with limiting chain extensibility. Zbl 1076.74008 Horgan, Cornelius O.; Saccomandi, Giuseppe 24 2004 A theory of stress softening of elastomers based on finite chain extensibility. Zbl 1070.74008 Horgan, Cornelius O.; Ogden, Ray W.; Saccomandi, Giuseppe 24 2004 Exponential decay of end effects in anti-plane shear for functionally graded piezoelectric materials. Zbl 1102.74018 Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina 15 2004 Constitutive models for atactic elastomers. Zbl 1093.74514 Horgan, Cornelius O.; Saccomandi, Giuseppe 6 2004 Invariance of the equilibrium equations of finite elasticity for compressible materials. Zbl 1070.74007 Horgan, Cornelius O.; Murphy, Jeremiah G. 1 2004 Finite thermoelasticity with limiting chain extensibility. Zbl 1049.74019 Horgan, Cornelius O.; Saccomandi, Giuseppe 21 2003 End effects for pre-stressed and pre-polarized piezoelectric solids in anti-plane shear. Zbl 1099.74516 Borelli, A.; Horgan, C. O.; Patria, M. C. 7 2003 Superposition of generalized plane strain on anti-plane shear deformations in isotropic incompressible hyperelastic materials. Zbl 1061.74007 Horgan, Cornelius O.; Saccomandi, Giuseppe 7 2003 The stress response of radially polarized rotating piezoelectric cylinders. Zbl 1110.74443 Galic, D.; Horgan, C. O. 6 2003 Helical shear for hardening generalized neo-Hookean elastic materials. Zbl 1052.74010 Horgan, Cornelius O.; Saccomandi, Giuseppe 5 2003 A molecular-statistical basis for the Gent constitutive model of rubber elasticity. Zbl 1073.74007 Horgan, Cornelius O.; Saccomandi, Giuseppe 47 2002 Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Zbl 1063.74012 Horgan, Cornelius O.; Saccomandi, Giuseppe 28 2002 Saint-Venant’s principle for antiplane shear deformations of linear piezoelectric materials. Zbl 1047.74019 Borrelli, A.; Horgan, C. O.; Patria, M. C. 19 2002 A two-point boundary value problem for the axial shear of hardening isotropic incompressible nonlinearly elastic materials. Zbl 1022.74004 Horgan, Cornelius O.; Saccomandi, Giuseppe; Sgura, Ivonne 7 2002 Internally pressurized radially polarized piezoelectric cylinders. Zbl 1078.74551 Galic, D.; Horgan, C. O. 4 2002 Recent mathematical developments for functionally graded linearly elastic materials. Zbl 1104.74300 Horgan, Cornelius O. 1 2002 Spatial decay of transient and effects in functionally graded heat conducting materials. Zbl 1018.74010 Horgan, C. O.; Quintanilla, R. 28 2001 Equilibrium solutions for compressible nonlinearly elastic materials. Zbl 0993.74008 Horgan, Cornelius O. 19 2001 Anti-plane shear deformations for non-Gaussian isotropic, incompressible hyperelastic materials. Zbl 1041.74009 Horgan, Cornelius O.; Saccomandi, Giuseppe 17 2001 Saint-Venant end effects in antiplane shear for functionally graded linearly elastic materials. Zbl 1060.74023 Horgan, C. O.; Quintanilla, R. 14 2001 Pure azimuthal shear of isotropic, incompressible hyperelastic materials with limiting chain extensibility. Zbl 1345.74019 Horgan, Cornelius O.; Saccomandi, Giuseppe 13 2001 Large deformations of a rotating solid cylinder for non-Gaussian isotropic, incompressible hyperelastic materials. Zbl 1110.74479 Horgan, C. O.; Saccomandi, G. 7 2001 Saint-Venant end effects in anti-plane shear for classes of linear piezoelectric materials. Zbl 1101.74330 Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina 6 2001 The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. Zbl 0965.74012 Horgan, C. O.; Chan, A. M. 49 1999 Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility. Zbl 0982.74011 Horgan, Cornelius O.; Saccomandi, Giuseppe 27 1999 Torsion of functionally graded isotropic linearly elastic bars. Zbl 0947.74029 Horgan, C. O.; Chan, A. M. 22 1999 The stress response of functionally graded isotropic linearly elastic rotating disks. Zbl 0970.74017 Horgan, C. O.; Chan, A. M. 19 1999 Pure axial shear of isotropic, incompressible nonlinearly elastic materials with limiting chain extensibility. Zbl 0988.74013 Horgan, Cornelius O.; Saccomandi, Giuseppe 9 1999 End effects in anti-plane shear for an inhomogeneous isotropic linearly elastic semi-infinite strip. Zbl 0941.74007 Chan, A. M.; Horgan, C. O. 12 1998 Saint-Venant decay rates for an isotropic inhomogeneous linearly elastic solid in anti-plane shear. Zbl 0912.73010 Scalpato, M. R.; Horgan, C. O. 10 1997 Saint-Venant’s principle in linear isotropic elasticity for incompressible or nearly incompressible materials. Zbl 0907.73010 Horgan, C. O.; Payne, L. E. 7 1997 Anti-plane shear deformations of anisotropic sandwich structures: End effects. Zbl 0947.74551 Baxter, S. C.; Horgan, C. O. 1 1997 Spatial decay estimates for a coupled system of second-order quasilinear partial differential equations arising in thermoelastic finite anti-plane shear. Zbl 0887.35051 Horgan, C. O.; Payne, L. E. 1 1997 Remarks on ellipticity for the generalized Blatz-Ko constitutive model for a compressible nonlinearly elastic solid. Zbl 0852.73019 Horgan, C. O. 18 1996 Decay estimates for boundary-value problems in linear and nonlinear continuum mechanics. Zbl 0843.73014 Horgan, C. O. 7 1996 Effects of curvilinear anisotropy on radially symmetric stresses in anisotropic linearly elastic solids. Zbl 0870.73007 Horgan, C. O.; Baxter, S. C. 4 1996 Spatial decay estimates for a class of second-order quasilinear elliptic partial differential equations arising in anisotropic nonlinear elasticity. Zbl 1001.74524 Horgan, C. O.; Payne, L. E. 2 1996 Further analysis of end effects for plane deformations of sandwich strips. Zbl 0921.73064 Wijeyewickrema, A. C.; Horgan, C. O.; Dundurs, J. 2 1996 A semi-inverse shape optimization problem in linear anti-plane shear. Zbl 0890.73044 Horgan, C. O.; Villaggio, Piero 1 1996 Korn’s inequalities and their applications in continuum mechanics. Zbl 0840.73010 Horgan, C. O. 100 1995 Anti-plane shear deformations in linear and nonlinear solid mechanics. Zbl 0824.73018 Horgan, C. O. 65 1995 On axisymmetric solutions for compressible nonlinearly elastic solids. Zbl 0836.73013 Horgan, Cornelius O. 10 1995 A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy. Zbl 0817.73008 Horgan, Cornelius O.; Polignone, Debra A. 8 1995 End effects for plane deformations of an elastic anisotropic semi- infinite strip. Zbl 0833.73005 Miller, K. L.; Horgan, C. O. 5 1995 End effects for anti-plane shear deformations of sandwich structures. Zbl 0845.73010 Baxter, S. C.; Horgan, C. O. 2 1995 Antiplane shear deformations for homogeneous and inhomogeneous anisotropic linearly elastic solids. Zbl 0809.73016 Horgan, C. O.; Miller, K. L. 19 1994 Pure azimuthal shear of compressible nonlinearly elastic circular tubes. Zbl 0813.73026 Polignone, Debra A.; Horgan, Cornelius O. 11 1994 Cavitation for incompressible anisotropic nonlinearly elastic spheres. Zbl 0856.73024 Polignone, Debra A.; Horgan, Cornelius O. 29 1993 Phragmén-Lindelöf type results for harmonic functions with nonlinear boundary conditions. Zbl 0790.31002 Horgan, C. O.; Payne, L. E. 19 1993 Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres. Zbl 0817.73037 Polignone, Debra A.; Horgan, Cornelius O. 15 1993 Strain energy density bounds for linear anisotropic elastic materials. Zbl 0773.73013 Mehrabadi, M. M.; Cowin, S. C.; Horgan, C. O. 10 1993 On the asymptotic behavior of solutions of linear second-order boundary- value problems on a semi-infinite strip. Zbl 0819.35014 Horgan, C. O.; Payne, L. E. 10 1993 The eigenvalues for a self-equilibrated, semi-infinite, anisotropic elastic strip. Zbl 0775.73137 Crafter, E. C.; Heise, R. M.; Horgan, C. O.; Simmonds, J. G. 5 1993 Conservation properties for plane deformations of isotropic and anisotropic linearly elastic strips. Zbl 0839.73005 Miller, Kristin L.; Horgan, Cornelius O. 3 1993 Void nucleation and growth for compressible non-linearly elastic materials: An example. Zbl 0755.73026 Horgan, C. O. 20 1992 Axisymmetric finite anti-plane shear of compressible nonlinearly elastic circular tubes. Zbl 0755.73047 Polignone, Debra A.; Horgan, Cornelius O. 9 1992 A Saint-Venant principle for a theory of nonlinear plane elasticity. Zbl 0790.73014 Horgan, C. O.; Payne, L. E. 1 1992 Pure torsion of compressible nonlinearly elastic circular cylinders. Zbl 0751.73014 Polignone, Debra A.; Horgan, Cornelius O. 15 1991 Asymptotic analysis of an end-loaded, transversely isotropic, elastic, semi-infinite strip weak in shear. Zbl 0764.73043 Horgan, C. O.; Simmonds, J. G. 6 1991 Finite strain solutions for a compressible elastic solid. Zbl 0716.73037 Carroll, M. M.; Horgan, C. O. 23 1990 Lower bounds for free membrane and related eigenvalues. Zbl 0755.35081 Horgan, C. O.; Payne, L. E. 9 1990 On the asymptotic behavior of a minimal surface over a semi-infinite strip. Zbl 0717.49036 Horgan, C. O.; Siegel, D. 5 1990 On Saint-Venant’s principle in finite anti-plane shear: An energy approach. Zbl 0691.73002 Horgan, C. O.; Payne, L. E. 4 1990 Existence, uniqueness, and decay estimates for solutions in the nonlinear theory of elastic, edge-loaded, circular tubes. Zbl 0713.73038 Horgan, C. O.; Payne, L. E.; Simmonds, J. G. 1 1990 Decay estimates for the biharmonic equation with applications to Saint- Venant principles in plane elasticity and Stokes flows. Zbl 0692.35010 Horgan, C. O. 19 1989 ...and 61 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,161 Authors 82 Horgan, Cornelius Oliver 59 Quintanilla de Latorre, Ramón 35 Murphy, Jeremiah G. 26 Payne, Lawrence Edward 25 Saccomandi, Giuseppe 17 Chiriţă, Stan 16 Knops, Robin J. 14 Lin, Changhao 13 Song, Jong Chul 13 Wineman, Alan S. 12 Cheng, Changjun 11 Batra, Romesh C. 11 Destrade, Michel 11 Pence, Thomas J. 11 Schiavone, Peter 10 Goriely, Alain 10 Leseduarte, Mari Carme 9 Li, Yuanfei 9 Ren, Jiusheng 8 Anssari-Benam, Afshin 8 Ciarletta, Michele 8 Liu, Yan 8 Xiao, Heng 8 Yuan, Xuegang 7 Aron, Marian 7 Beatty, Millard F. jun. 7 D’Apice, Ciro 7 Neff, Patrizio 7 Potapenko, Stanislav 7 Rajagopal, Kumbakonam Ramamani 7 Roseman, Joseph J. 7 Sofonea, Mircea 7 Spector, Scott J. 7 Zhu, Zhengyou 6 Flavin, James N. 6 Lopez-Pamies, Oscar 6 Matei, Andaluzia Cristina 6 Wang, Yun 6 Wheeler, Lewis T. 6 Yin, Zhengnan 5 Abeyaratne, Rohan C. 5 Dhaliwal, Ranjit S. 5 Ecsedi, István 5 Harutyunyan, Davit 5 Mihai, L. Angela 5 Miranville, Alain M. 5 Mukhopadhyay, Santwana 5 Pachpatte, Baburao Govindrao 5 Rokne, Jon G. 5 Rubino, Samuele 5 Sarangi, Somnath 5 Schaefer, Philip W. 5 Singh, Brij Mohan 5 Warne, Paul G. 5 Xie, Chunjing 5 Zenkour, Ashraf M. 5 Zhang, Hongwu 4 Ahmed, S. Reaz 4 Axelsson, Axel Owe Holger 4 Bhattacharyya, Ranjan 4 Breuer, Shlomo 4 deBotton, Gal 4 Demirkoparan, Hasan 4 Drozdov, Aleksey D. 4 Eraslan, Ahmet N. 4 Fernández, Jose Ramon 4 Iesan, Dorin 4 Knowles, James K. 4 Kumar, Ajeet 4 Levin, Vladimir Anatol’evich 4 Migórski, Stanisław 4 Ochal, Anna 4 Ogden, Raymond William 4 Polignone Warne, Debra 4 Repin, Sergeĭ Igorevich 4 Shang, Xinchun 4 Sivaloganathan, Jeyabal 3 Agoras, M. 3 Akis, Tolga 3 Ames, Karen A. 3 Amirat, Youcef Aït 3 Baksa, Attila 3 Bechir, Hocine 3 Bertrand, Fleurianne 3 Bigoni, Davide 3 Bofill, Francesc 3 Chacón Rebollo, Tomás 3 Chen, Tungyang 3 Chen, Xuejiao 3 Cheviakov, Alexei F. 3 Costabel, Martin 3 Costea, Nicuşor 3 Cowin, Stephen C. 3 Dauge, Monique 3 De Tommasi, Domenico 3 Dryden, John R. 3 Feng, Zhiqiang 3 Figiel, Łukasz 3 Fosdick, Roger L. 3 Gao, Xinlin ...and 1,061 more Authors all top 5 Cited in 166 Serials 134 Journal of Elasticity 88 Mathematics and Mechanics of Solids 64 International Journal of Engineering Science 48 Acta Mechanica 43 Journal of Mathematical Analysis and Applications 31 Journal of the Mechanics and Physics of Solids 31 European Journal of Mechanics. 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Serie Quarta 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Numerical Analysis 2 Journal of Global Optimization 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Applied Mathematics 2 Journal of Nonlinear Science 2 SIAM Journal on Scientific Computing 2 Communications in Numerical Methods in Engineering 2 International Applied Mechanics 2 Engineering Analysis with Boundary Elements 2 Journal of Shanghai University 2 Computational Methods in Applied Mathematics 2 International Journal of Computational Methods 2 Applications and Applied Mathematics 2 International Journal for Computational Methods in Engineering Science and Mechanics 2 Journal of Applied Mathematics & Informatics 2 Journal of Theoretical Biology 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Mechanics of Solids 1 Analysis Mathematica 1 Bulletin of the Australian Mathematical Society 1 Computers and Fluids 1 Communications on Pure and Applied Mathematics 1 International Journal of Heat and Mass Transfer 1 Journal of Computational Physics 1 Lithuanian Mathematical Journal 1 Periodica Mathematica Hungarica 1 Wave Motion 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Bulletin of Mathematical Biology 1 Prikladnaya Matematika i Mekhanika 1 Soviet Applied Mechanics 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Calcolo 1 Duke Mathematical Journal 1 Journal of Optimization Theory and Applications ...and 66 more Serials all top 5 Cited in 36 Fields 757 Mechanics of deformable solids (74-XX) 310 Partial differential equations (35-XX) 102 Fluid mechanics (76-XX) 66 Numerical analysis (65-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 33 Biology and other natural sciences (92-XX) 31 Classical thermodynamics, heat transfer (80-XX) 28 Real functions (26-XX) 19 Ordinary differential equations (34-XX) 14 Operator theory (47-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Functional analysis (46-XX) 8 Differential geometry (53-XX) 7 History and biography (01-XX) 7 Integral equations (45-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 3 Potential theory (31-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year