Edit Profile (opens in new tab) Horgan, Cornelius Oliver Compute Distance To: Compute 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: 176 Publications since 1969 1 Further Contribution Biographic References: 6 Publications Co-Authors: 49 Co-Authors with 148 Joint Publications 630 Co-Co-Authors all top 5 Co-Authors 24 single-authored 27 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 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 Henneke, Edmund G. II 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 Phoenix, S. Leigh 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 Wijeyewickrema, Anil C. 1 Willis, John Raymond 1 Wu, E. M. all top 5 Serials 54 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 153 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) 3 Potential theory (31-XX) 3 Integral equations (45-XX) 3 Biology and other natural sciences (92-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 160 Publications have been cited 1,889 times in 938 Documents Cited by ▼ Year ▼ Recent developments concerning Saint-Venant’s principle. Zbl 0569.73010Horgan, Cornelius O.; Knowles, James K. 141 1983 Korn’s inequalities and their applications in continuum mechanics. Zbl 0840.73010Horgan, C. O. 88 1995 Anti-plane shear deformations in linear and nonlinear solid mechanics. Zbl 0824.73018Horgan, C. O. 60 1995 On inequalities of Korn, Friedrichs and Babuska-Aziz. Zbl 0512.73017Horgan, C. O.; Payne, L. E. 54 1983 Spatial decay estimates for the Navier-Stokes equations with application to the problem of entry flow. Zbl 0389.76037Horgan, C. O.; Wheeler, L. T. 48 1978 Spatial decay estimates in transient heat conduction. Zbl 0553.35037Horgan, C. O.; Payne, L. E.; Wheeler, L. T. 47 1984 The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. Zbl 0965.74012Horgan, C. O.; Chan, A. M. 45 1999 A bifurcation problem for a compressible nonlinearly elastic medium: Growth of a micro-void. Zbl 0585.73017Horgan, C. O.; Abeyaratne, R. 45 1986 A molecular-statistical basis for the Gent constitutive model of rubber elasticity. Zbl 1073.74007Horgan, Cornelius O.; Saccomandi, Giuseppe 43 2002 A new constitutive theory for fiber-reinforced incompressible nonlinearly elastic solids. Zbl 1176.74026Horgan, Cornelius O.; Saccomandi, Giuseppe 35 2005 Spatial behaviour of solutions of the dual-phase-lag heat equation. Zbl 1072.35113Horgan, C. O.; Quintanilla, R. 32 2005 Cavitation for incompressible anisotropic nonlinearly elastic spheres. Zbl 0856.73024Polignone, Debra A.; Horgan, Cornelius O. 29 1993 Spatial decay of transient and effects in functionally graded heat conducting materials. Zbl 1018.74010Horgan, C. O.; Quintanilla, R. 28 2001 Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Zbl 1063.74012Horgan, Cornelius O.; Saccomandi, Giuseppe 26 2002 The finite deformation of internally pressurized hollow cylinders and spheres for a class of compressible elastic materials. Zbl 0603.73038Chung, D.-T.; Horgan, C. O.; Abeyaratne, R. 24 1986 A theory of stress softening of elastomers based on finite chain extensibility. Zbl 1070.74008Horgan, Cornelius O.; Ogden, Ray W.; Saccomandi, Giuseppe 24 2004 Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility. Zbl 0982.74011Horgan, Cornelius O.; Saccomandi, Giuseppe 23 1999 Finite strain solutions for a compressible elastic solid. Zbl 0716.73037Carroll, M. M.; Horgan, C. O. 22 1990 The pressurized hollow sphere problem in finite elastostatics for a class of compressible materials. Zbl 0546.73033Abeyaratne, R.; Horgan, C. O. 22 1984 Torsion of functionally graded isotropic linearly elastic bars. Zbl 0947.74029Horgan, C. O.; Chan, A. M. 21 1999 Constitutive models for compressible nonlinearly elastic materials with limiting chain extensibility. Zbl 1076.74008Horgan, Cornelius O.; Saccomandi, Giuseppe 20 2004 Finite thermoelasticity with limiting chain extensibility. Zbl 1049.74019Horgan, Cornelius O.; Saccomandi, Giuseppe 20 2003 Void nucleation and growth for compressible non-linearly elastic materials: An example. Zbl 0755.73026Horgan, C. O. 20 1992 The stress response of functionally graded isotropic linearly elastic rotating disks. Zbl 0970.74017Horgan, C. O.; Chan, A. M. 19 1999 Equilibrium solutions for compressible nonlinearly elastic materials. Zbl 0993.74008Horgan, Cornelius O. 19 2001 Decay estimates for second-order quasilinear partial differential equations. Zbl 0556.35053Horgan, C. O.; Payne, L. E. 19 1984 Saint-Venant’s principle for antiplane shear deformations of linear piezoelectric materials. Zbl 1047.74019Borrelli, A.; Horgan, C. O.; Patria, M. C. 18 2002 Decay estimates for the biharmonic equation with applications to Saint- Venant principles in plane elasticity and Stokes flows. Zbl 0692.35010Horgan, C. O. 18 1989 Plane entry flows and energy estimates for the Navier-Stokes equations. Zbl 0397.76025Horgan, C. O. 17 1978 Anti-plane shear deformations for non-Gaussian isotropic, incompressible hyperelastic materials. Zbl 1041.74009Horgan, Cornelius O.; Saccomandi, Giuseppe 17 2001 Phragmén-Lindelöf type results for harmonic functions with nonlinear boundary conditions. Zbl 0790.31002Horgan, C. O.; Payne, L. E. 17 1993 Decay estimates for a class of nonlinear boundary value problems in two dimensions. Zbl 0678.35027Horgan, C. O.; Payne, L. E. 17 1989 Antiplane shear deformations for homogeneous and inhomogeneous anisotropic linearly elastic solids. Zbl 0809.73016Horgan, C. O.; Miller, K. L. 16 1994 Void nucleation and growth for a class of incompressible nonlinearly elastic materials. Zbl 0703.73025Chou-Wang, M.-S.; Horgan, C. O. 16 1989 Exponential decay of end effects in anti-plane shear for functionally graded piezoelectric materials. Zbl 1102.74018Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina 15 2004 Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres. Zbl 0817.73037Polignone, Debra A.; Horgan, Cornelius O. 15 1993 Remarks on ellipticity for the generalized Blatz-Ko constitutive model for a compressible nonlinearly elastic solid. Zbl 0852.73019Horgan, C. O. 15 1996 Simple shearing of soft biological tissues. Zbl 1428.74156Horgan, Cornelius O.; Murphy, Jeremiah G. 15 2011 Eigenvalue problems associated with Korn’s inequalities. Zbl 0223.73011Horgan, C. O.; Knowles, J. K. 14 1971 Saint-Venant end effects in antiplane shear for functionally graded linearly elastic materials. Zbl 1060.74023Horgan, C. O.; Quintanilla, R. 14 2001 Pure torsion of compressible nonlinearly elastic circular cylinders. Zbl 0751.73014Polignone, Debra A.; Horgan, Cornelius O. 14 1991 Exponential decay estimates for second-order quasi-linear elliptic equations. Zbl 0356.35033Horgan, Cornelius O.; Wheeler, Lewis T. 13 1977 The effect of nonlinearity on a principle of Saint-Venant type. Zbl 0463.73007Horgan, C. O.; Knowles, J. K. 13 1981 Cavitation in nonlinear elastodynamics for neo-Hookean materials. Zbl 0694.73005Chou-Wang, M.-S.; Horgan, C. O. 13 1989 Cavity formation at the center of a composite incompressible nonlinearly elastic sphere. Zbl 0711.73042Horgan, C. O.; Pence, T. J. 13 1989 End effects in anti-plane shear for an inhomogeneous isotropic linearly elastic semi-infinite strip. Zbl 0941.74007Chan, A. M.; Horgan, C. O. 12 1998 Simple shearing of incompressible and slightly compressible isotropic nonlinearly elastic materials. Zbl 1245.74004Horgan, C. O.; Murphy, J. G. 12 2010 Pure azimuthal shear of isotropic, incompressible hyperelastic materials with limiting chain extensibility. Zbl 1345.74019Horgan, Cornelius O.; Saccomandi, Giuseppe 12 2001 Pure azimuthal shear of compressible nonlinearly elastic circular tubes. Zbl 0813.73026Polignone, Debra A.; Horgan, Cornelius O. 11 1994 Limiting chain extensibility constitutive models of Valanis-Landel type. Zbl 1106.74014Horgan, Cornelius O.; Murphy, Jeremiah G. 11 2007 On the volumetric part of strain-energy functions used in the constitutive modeling of slightly compressible solid rubbers. Zbl 1167.74334Horgan, Cornelius O.; Murphy, Jeremiah G. 11 2009 Initiation of localized plane deformations at a circular cavity in an infinite compressible nonlinearly elastic medium. Zbl 0574.73050Abeyaratne, R.; Horgan, C. O. 11 1985 Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip. Zbl 0662.73006Vafeades, P.; Horgan, C. O. 11 1988 The finite deformation of a pressurized circular tube for a class of compressible materials. Zbl 0539.73038Jafari, A. H.; Abeyaratne, R.; Horgan, C. O. 11 1984 Integral bounds for solutions of nonlinear reaction-diffusion equations. Zbl 0349.35069Horgan, Cornelius O. 10 1977 Eigenvalue estimates and the trace theorem. Zbl 0412.35073Horgan, C. O. 10 1979 Inequalities of Korn and Friedrichs in elasticity and potential theory. Zbl 0308.35077Horgan, Cornelius O. 10 1975 On axisymmetric solutions for compressible nonlinearly elastic solids. Zbl 0836.73013Horgan, Cornelius O. 10 1995 Saint-Venant decay rates for an isotropic inhomogeneous linearly elastic solid in anti-plane shear. Zbl 0912.73010Scalpato, M. R.; Horgan, C. O. 10 1997 Strain energy density bounds for linear anisotropic elastic materials. Zbl 0773.73013Mehrabadi, 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 0819.35014Horgan, C. O.; Payne, L. E. 10 1993 Decay estimates for a class of second-order quasilinear equations in three dimensions. Zbl 0567.35016Horgan, C. O.; Payne, L. E. 10 1984 Spatial decay estimates for the heat equation via the maximum principle. Zbl 0335.35055Horgan, Cornelius O.; Wheeler, Lewis T. 10 1976 Void nucleation in tensile dead-loading of a composite incompressible nonlinearly elastic sphere. Zbl 0687.73017Horgan, C. O.; Pence, T. J. 10 1989 Saint-Venant’s principle and end effects in anisotropic elasticity. Zbl 0398.73009Choi, I.; Horgan, C. O. 9 1977 Pure axial shear of isotropic, incompressible nonlinearly elastic materials with limiting chain extensibility. Zbl 0988.74013Horgan, Cornelius O.; Saccomandi, Giuseppe 9 1999 Lower bounds for free membrane and related eigenvalues. Zbl 0755.35081Horgan, C. O.; Payne, L. E. 9 1990 Axisymmetric finite anti-plane shear of compressible nonlinearly elastic circular tubes. Zbl 0755.73047Polignone, Debra A.; Horgan, Cornelius O. 9 1992 Compression tests and constitutive models for the slight compressibility of elastic rubber-like materials. Zbl 1213.74075Horgan, Cornelius O.; Murphy, Jeremiah G. 9 2009 On extension and torsion of strain-stiffening rubber-like elastic circular cylinders. Zbl 1159.74324Kanner, Landon M.; Horgan, Cornelius O. 9 2008 Dominant negative Poynting effect in simple shearing of soft tissues. Zbl 1360.74110Destrade, M.; Horgan, C. O.; Murphy, J. G. 9 2015 A two-dimensional Saint-Venant principle for second-order linear elliptic equations. Zbl 0346.35043Wheeler, Lewis T.; Horgan, Cornelius O. 8 1976 Exponential decay estimates for a class of nonlinear Dirichlet problems. Zbl 0418.35017Horgan, C. O.; Olmstead, W. E. 8 1979 A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy. Zbl 0817.73008Horgan, Cornelius O.; Polignone, Debra A. 8 1995 A note on a bifurcation problem in finite plasticity related to void nucleation. Zbl 0618.73053Chung, D.-T.; Horgan, C. O.; Abeyaratne, R. 8 1987 Some remarks on axisymmetric solutions in finite elastostatics for compressible materials. Zbl 0696.73026Horgan, Cornelius O. 8 1989 Constitutive models for almost incompressible isotropic elastic rubber-like materials. Zbl 1151.74316Horgan, C. O.; Murphy, J. G. 8 2007 Saint-Venant end effects for plane deformation of sandwich strips. Zbl 0372.73005Choi, I.; Horgan, C. O. 7 1978 On the domain of attraction for steady states in heat conduction. Zbl 0316.35054Horgan, C. O.; Nachlinger, R. Ray 7 1976 A two-point boundary value problem for the axial shear of hardening isotropic incompressible nonlinearly elastic materials. Zbl 1022.74004Horgan, Cornelius O.; Saccomandi, Giuseppe; Sgura, Ivonne 7 2002 Constitutive modeling and the trousers test for fracture of rubber-like materials. Zbl 1122.74494Horgan, Cornelius O.; Schwartz, Joseph G. 7 2005 Saint-Venant’s principle in linear isotropic elasticity for incompressible or nearly incompressible materials. Zbl 0907.73010Horgan, C. O.; Payne, L. E. 7 1997 End effects for pre-stressed and pre-polarized piezoelectric solids in anti-plane shear. Zbl 1099.74516Borelli, A.; Horgan, C. O.; Patria, M. C. 7 2003 On the modeling of extension-torsion experimental data for transversely isotropic biological soft tissues. Zbl 1243.74016Horgan, Cornelius O.; Murphy, Jeremiah G. 7 2012 Superposition of generalized plane strain on anti-plane shear deformations in isotropic incompressible hyperelastic materials. Zbl 1061.74007Horgan, Cornelius O.; Saccomandi, Giuseppe 7 2003 Decay estimates for boundary-value problems in linear and nonlinear continuum mechanics. Zbl 0843.73014Horgan, C. O. 7 1996 Torsion of incompressible fiber-reinforced nonlinearly elastic circular cylinders. Zbl 1273.74066Horgan, Cornelius O.; Murphy, Jeremiah G. 7 2011 On the torsion of functionally graded anisotropic linearly elastic bars. Zbl 1128.74025Horgan, Cornelius O. 7 2007 Saint-Venant end effects for plane deformations of linear piezoelectric solids. Zbl 1119.74386Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina 7 2006 On Korn’s inequality for incompressible media. Zbl 0269.73009Horgan, Cornelius O. 6 1975 Saint-Venant end effects in anti-plane shear for classes of linear piezoelectric materials. Zbl 1101.74330Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina 6 2001 Asymptotic analysis of an end-loaded, transversely isotropic, elastic, semi-infinite strip weak in shear. Zbl 0764.73043Horgan, C. O.; Simmonds, J. G. 6 1991 Constitutive models for atactic elastomers. Zbl 1093.74514Horgan, Cornelius O.; Saccomandi, Giuseppe 6 2004 On the exponential decay of stresses in circular elastic cylinders subject to axisymmetric self-equilibrated end loads. Zbl 0164.55302Knowles, J. K.; Horgan, C. O. 6 1969 A note on the spatial decay of a three-dimensional minimal surface over a semi-infinite cylinder. Zbl 0585.35004Horgan, C. O. 6 1985 Large deformations of a rotating solid cylinder for non-Gaussian isotropic, incompressible hyperelastic materials. Zbl 1110.74479Horgan, C. O.; Saccomandi, G. 6 2001 The stress response of radially polarized rotating piezoelectric cylinders. Zbl 1110.74443Galic, D.; Horgan, C. O. 6 2003 Extension and torsion of rubber-like hollow and solid circular cylinders for incompressible isotropic hyperelastic materials with limiting chain extensibility. Zbl 07455238Anssari-Benam, Afshin; Horgan, Cornelius O. 5 2022 Upper and lower bounds for the shear stress in the Saint-Venant theory of flexure. Zbl 0347.73016Wheeler, Lewis; Horgan, Cornelius O. 5 1976 Bounds on eigenvalues of Sturm-Liouville problems with discontinuous coefficients. Zbl 0408.34025Horgan, C. O.; Nemat-Nasser, S. 5 1979 Extension and torsion of rubber-like hollow and solid circular cylinders for incompressible isotropic hyperelastic materials with limiting chain extensibility. Zbl 07455238Anssari-Benam, Afshin; Horgan, Cornelius O. 5 2022 A three-parameter structurally motivated robust constitutive model for isotropic incompressible unfilled and filled rubber-like materials. Zbl 1501.74004Anssari-Benam, Afshin; Horgan, Cornelius O. 1 2022 On modelling simple shear for isotropic incompressible rubber-like materials. Zbl 1481.74071Anssari-Benam, Afshin; Horgan, Cornelius O. 1 2021 On the fiber stretch in shearing deformations of fibrous soft materials. Zbl 1403.74012Horgan, C. O.; Murphy, J. G. 4 2018 Magic angles for fibrous incompressible elastic materials. Zbl 1402.74013Horgan, C. O.; Murphy, J. G. 2 2018 Extension or compression induced twisting in fiber-reinforced nonlinearly elastic circular cylinders. Zbl 1348.74050Horgan, Cornelius O.; Murphy, Jeremiah G. 4 2016 Kinking instability in the torsion of stretched anisotropic elastomeric filaments. Zbl 1330.74021Horgan, Cornelius O.; Murphy, Jeremiah G. 1 2016 Dominant negative Poynting effect in simple shearing of soft tissues. Zbl 1360.74110Destrade, M.; Horgan, C. O.; Murphy, J. G. 9 2015 Reverse Poynting effects in the torsion of soft biomaterials. Zbl 1305.74021Horgan, 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 1299.74026Horgan, C. O.; Murphy, J. G. 1 2014 An anisotropic nonlinear elasticity model for tearing of fibrous soft biomaterials. Zbl 07280064Horgan, Cornelius O.; Smayda, Michael G. 1 2013 On the modeling of extension-torsion experimental data for transversely isotropic biological soft tissues. Zbl 1243.74016Horgan, Cornelius O.; Murphy, Jeremiah G. 7 2012 Simple shearing of soft biological tissues. Zbl 1428.74156Horgan, Cornelius O.; Murphy, Jeremiah G. 15 2011 Torsion of incompressible fiber-reinforced nonlinearly elastic circular cylinders. Zbl 1273.74066Horgan, Cornelius O.; Murphy, Jeremiah G. 7 2011 On the normal stresses in simple shearing of fiber-reinforced nonlinearly elastic materials. Zbl 1269.74023Horgan, Cornelius O.; Murphy, Jeremiah G. 5 2011 Extension and torsion of incompressible nonlinearly elastic solid circular cylinders. Zbl 1269.74024Horgan, Cornelius O.; Murphy, Jeremiah G. 1 2011 Simple shearing of incompressible and slightly compressible isotropic nonlinearly elastic materials. Zbl 1245.74004Horgan, C. O.; Murphy, J. G. 12 2010 On the volumetric part of strain-energy functions used in the constitutive modeling of slightly compressible solid rubbers. Zbl 1167.74334Horgan, Cornelius O.; Murphy, Jeremiah G. 11 2009 Compression tests and constitutive models for the slight compressibility of elastic rubber-like materials. Zbl 1213.74075Horgan, Cornelius O.; Murphy, Jeremiah G. 9 2009 On extension and torsion of strain-stiffening rubber-like elastic circular cylinders. Zbl 1159.74324Kanner, Landon M.; Horgan, Cornelius O. 9 2008 Plane strain bending of strain-stiffening rubber-like rectangular beams. Zbl 1159.74372Kanner, Landon M.; Horgan, Cornelius O. 5 2008 Inhomogeneous shearing of strain-stiffening rubber-like hollow circular cylinders. Zbl 1421.74014Kanner, Landon M.; Horgan, Cornelius O. 1 2008 Limiting chain extensibility constitutive models of Valanis-Landel type. Zbl 1106.74014Horgan, Cornelius O.; Murphy, Jeremiah G. 11 2007 Constitutive models for almost incompressible isotropic elastic rubber-like materials. Zbl 1151.74316Horgan, C. O.; Murphy, J. G. 8 2007 On the torsion of functionally graded anisotropic linearly elastic bars. Zbl 1128.74025Horgan, Cornelius O. 7 2007 The effects of compressibility on inhomogeneous deformations for a class of almost incompressible isotropic nonlinearly elastic materials. Zbl 1147.74007Horgan, C. O.; Murphy, J. G. 3 2007 Saint-Venant end effects for plane deformations of linear piezoelectric solids. Zbl 1119.74386Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina 7 2006 A new constitutive theory for fiber-reinforced incompressible nonlinearly elastic solids. Zbl 1176.74026Horgan, Cornelius O.; Saccomandi, Giuseppe 35 2005 Spatial behaviour of solutions of the dual-phase-lag heat equation. Zbl 1072.35113Horgan, C. O.; Quintanilla, R. 32 2005 Constitutive modeling and the trousers test for fracture of rubber-like materials. Zbl 1122.74494Horgan, Cornelius O.; Schwartz, Joseph G. 7 2005 Spatial decay of transient end effects for nonstandard linear diffusion problems. Zbl 1086.35059Horgan, C. O.; Quintanilla, R. 5 2005 Lie group analysis and plane strain bending of cylindrical sectors for compressible nonlinearly elastic materials. Zbl 1151.74317Horgan, Cornelius O.; Murphy, Jeremiah G. 4 2005 A Lie group analysis of the axisymmetric equations of finite elastostatics for compressible materials. Zbl 1221.74010Horgan, Cornelius O.; Murphy, Jeremiah 4 2005 Plane strain bending of cylindrical sectors of admissible compressible hyperelastic materials. Zbl 1090.74011Horgan, Cornelius O.; Murphy, Jeremiah G. 2 2005 A theory of stress softening of elastomers based on finite chain extensibility. Zbl 1070.74008Horgan, Cornelius O.; Ogden, Ray W.; Saccomandi, Giuseppe 24 2004 Constitutive models for compressible nonlinearly elastic materials with limiting chain extensibility. Zbl 1076.74008Horgan, Cornelius O.; Saccomandi, Giuseppe 20 2004 Exponential decay of end effects in anti-plane shear for functionally graded piezoelectric materials. Zbl 1102.74018Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina 15 2004 Constitutive models for atactic elastomers. Zbl 1093.74514Horgan, Cornelius O.; Saccomandi, Giuseppe 6 2004 Invariance of the equilibrium equations of finite elasticity for compressible materials. Zbl 1070.74007Horgan, Cornelius O.; Murphy, Jeremiah G. 1 2004 Finite thermoelasticity with limiting chain extensibility. Zbl 1049.74019Horgan, Cornelius O.; Saccomandi, Giuseppe 20 2003 End effects for pre-stressed and pre-polarized piezoelectric solids in anti-plane shear. Zbl 1099.74516Borelli, 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 1061.74007Horgan, Cornelius O.; Saccomandi, Giuseppe 7 2003 The stress response of radially polarized rotating piezoelectric cylinders. Zbl 1110.74443Galic, D.; Horgan, C. O. 6 2003 Helical shear for hardening generalized neo-Hookean elastic materials. Zbl 1052.74010Horgan, Cornelius O.; Saccomandi, Giuseppe 5 2003 A molecular-statistical basis for the Gent constitutive model of rubber elasticity. Zbl 1073.74007Horgan, Cornelius O.; Saccomandi, Giuseppe 43 2002 Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Zbl 1063.74012Horgan, Cornelius O.; Saccomandi, Giuseppe 26 2002 Saint-Venant’s principle for antiplane shear deformations of linear piezoelectric materials. Zbl 1047.74019Borrelli, A.; Horgan, C. O.; Patria, M. C. 18 2002 A two-point boundary value problem for the axial shear of hardening isotropic incompressible nonlinearly elastic materials. Zbl 1022.74004Horgan, Cornelius O.; Saccomandi, Giuseppe; Sgura, Ivonne 7 2002 Internally pressurized radially polarized piezoelectric cylinders. Zbl 1078.74551Galic, D.; Horgan, C. O. 4 2002 Recent mathematical developments for functionally graded linearly elastic materials. Zbl 1104.74300Horgan, Cornelius O. 1 2002 Spatial decay of transient and effects in functionally graded heat conducting materials. Zbl 1018.74010Horgan, C. O.; Quintanilla, R. 28 2001 Equilibrium solutions for compressible nonlinearly elastic materials. Zbl 0993.74008Horgan, Cornelius O. 19 2001 Anti-plane shear deformations for non-Gaussian isotropic, incompressible hyperelastic materials. Zbl 1041.74009Horgan, Cornelius O.; Saccomandi, Giuseppe 17 2001 Saint-Venant end effects in antiplane shear for functionally graded linearly elastic materials. Zbl 1060.74023Horgan, C. O.; Quintanilla, R. 14 2001 Pure azimuthal shear of isotropic, incompressible hyperelastic materials with limiting chain extensibility. Zbl 1345.74019Horgan, Cornelius O.; Saccomandi, Giuseppe 12 2001 Saint-Venant end effects in anti-plane shear for classes of linear piezoelectric materials. Zbl 1101.74330Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina 6 2001 Large deformations of a rotating solid cylinder for non-Gaussian isotropic, incompressible hyperelastic materials. Zbl 1110.74479Horgan, C. O.; Saccomandi, G. 6 2001 The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. Zbl 0965.74012Horgan, C. O.; Chan, A. M. 45 1999 Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility. Zbl 0982.74011Horgan, Cornelius O.; Saccomandi, Giuseppe 23 1999 Torsion of functionally graded isotropic linearly elastic bars. Zbl 0947.74029Horgan, C. O.; Chan, A. M. 21 1999 The stress response of functionally graded isotropic linearly elastic rotating disks. Zbl 0970.74017Horgan, C. O.; Chan, A. M. 19 1999 Pure axial shear of isotropic, incompressible nonlinearly elastic materials with limiting chain extensibility. Zbl 0988.74013Horgan, Cornelius O.; Saccomandi, Giuseppe 9 1999 End effects in anti-plane shear for an inhomogeneous isotropic linearly elastic semi-infinite strip. Zbl 0941.74007Chan, A. M.; Horgan, C. O. 12 1998 Saint-Venant decay rates for an isotropic inhomogeneous linearly elastic solid in anti-plane shear. Zbl 0912.73010Scalpato, M. R.; Horgan, C. O. 10 1997 Saint-Venant’s principle in linear isotropic elasticity for incompressible or nearly incompressible materials. Zbl 0907.73010Horgan, C. O.; Payne, L. E. 7 1997 Anti-plane shear deformations of anisotropic sandwich structures: End effects. Zbl 0947.74551Baxter, 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 0887.35051Horgan, C. O.; Payne, L. E. 1 1997 Remarks on ellipticity for the generalized Blatz-Ko constitutive model for a compressible nonlinearly elastic solid. Zbl 0852.73019Horgan, C. O. 15 1996 Decay estimates for boundary-value problems in linear and nonlinear continuum mechanics. Zbl 0843.73014Horgan, C. O. 7 1996 Effects of curvilinear anisotropy on radially symmetric stresses in anisotropic linearly elastic solids. Zbl 0870.73007Horgan, 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 1001.74524Horgan, C. O.; Payne, L. E. 2 1996 Further analysis of end effects for plane deformations of sandwich strips. Zbl 0921.73064Wijeyewickrema, A. C.; Horgan, C. O.; Dundurs, J. 2 1996 A semi-inverse shape optimization problem in linear anti-plane shear. Zbl 0890.73044Horgan, C. O.; Villaggio, Piero 1 1996 Korn’s inequalities and their applications in continuum mechanics. Zbl 0840.73010Horgan, C. O. 88 1995 Anti-plane shear deformations in linear and nonlinear solid mechanics. Zbl 0824.73018Horgan, C. O. 60 1995 On axisymmetric solutions for compressible nonlinearly elastic solids. Zbl 0836.73013Horgan, 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 0817.73008Horgan, Cornelius O.; Polignone, Debra A. 8 1995 End effects for plane deformations of an elastic anisotropic semi- infinite strip. Zbl 0833.73005Miller, K. L.; Horgan, C. O. 5 1995 End effects for anti-plane shear deformations of sandwich structures. Zbl 0845.73010Baxter, S. C.; Horgan, C. O. 2 1995 Antiplane shear deformations for homogeneous and inhomogeneous anisotropic linearly elastic solids. Zbl 0809.73016Horgan, C. O.; Miller, K. L. 16 1994 Pure azimuthal shear of compressible nonlinearly elastic circular tubes. Zbl 0813.73026Polignone, Debra A.; Horgan, Cornelius O. 11 1994 Cavitation for incompressible anisotropic nonlinearly elastic spheres. Zbl 0856.73024Polignone, Debra A.; Horgan, Cornelius O. 29 1993 Phragmén-Lindelöf type results for harmonic functions with nonlinear boundary conditions. Zbl 0790.31002Horgan, C. O.; Payne, L. E. 17 1993 Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres. Zbl 0817.73037Polignone, Debra A.; Horgan, Cornelius O. 15 1993 Strain energy density bounds for linear anisotropic elastic materials. Zbl 0773.73013Mehrabadi, 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 0819.35014Horgan, C. O.; Payne, L. E. 10 1993 The eigenvalues for a self-equilibrated, semi-infinite, anisotropic elastic strip. Zbl 0775.73137Crafter, 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 0839.73005Miller, Kristin L.; Horgan, Cornelius O. 3 1993 Void nucleation and growth for compressible non-linearly elastic materials: An example. Zbl 0755.73026Horgan, C. O. 20 1992 Axisymmetric finite anti-plane shear of compressible nonlinearly elastic circular tubes. Zbl 0755.73047Polignone, Debra A.; Horgan, Cornelius O. 9 1992 A Saint-Venant principle for a theory of nonlinear plane elasticity. Zbl 0790.73014Horgan, C. O.; Payne, L. E. 1 1992 Pure torsion of compressible nonlinearly elastic circular cylinders. Zbl 0751.73014Polignone, Debra A.; Horgan, Cornelius O. 14 1991 Asymptotic analysis of an end-loaded, transversely isotropic, elastic, semi-infinite strip weak in shear. Zbl 0764.73043Horgan, C. O.; Simmonds, J. G. 6 1991 Finite strain solutions for a compressible elastic solid. Zbl 0716.73037Carroll, M. M.; Horgan, C. O. 22 1990 Lower bounds for free membrane and related eigenvalues. Zbl 0755.35081Horgan, C. O.; Payne, L. E. 9 1990 On the asymptotic behavior of a minimal surface over a semi-infinite strip. Zbl 0717.49036Horgan, C. O.; Siegel, D. 5 1990 On Saint-Venant’s principle in finite anti-plane shear: An energy approach. Zbl 0691.73002Horgan, 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 0713.73038Horgan, 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 0692.35010Horgan, C. O. 18 1989 Decay estimates for a class of nonlinear boundary value problems in two dimensions. Zbl 0678.35027Horgan, C. O.; Payne, L. E. 17 1989 ...and 60 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,053 Authors 79 Horgan, Cornelius Oliver 58 Quintanilla de Latorre, Ramón 33 Murphy, Jeremiah G. 26 Payne, Lawrence Edward 25 Saccomandi, Giuseppe 17 Chiriţă, Stan 16 Knops, Robin J. 14 Lin, Changhao 13 Song, Jong Chul 12 Cheng, Changjun 12 Wineman, Alan S. 11 Batra, Romesh C. 11 Destrade, Michel 11 Pence, Thomas J. 11 Schiavone, Peter 10 Goriely, Alain 10 Leseduarte, Mari Carme 9 Ren, Jiusheng 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 Potapenko, Stanislav 7 Rajagopal, Kumbakonam Ramamani 7 Roseman, Joseph J. 7 Sofonea, Mircea 7 Spector, Scott J. 7 Zhu, Zhengyou 6 Anssari-Benam, Afshin 6 Flavin, James N. 6 Li, Yuanfei 6 Lopez-Pamies, Oscar 6 Matei, Andaluzia Cristina 6 Neff, Patrizio 6 Sivaloganathan, Jeyabal 6 Wheeler, Lewis T. 6 Yin, Zhengnan 5 Abeyaratne, Rohan C. 5 Dhaliwal, Ranjit S. 5 Ecsedi, István 5 Mihai, L. Angela 5 Miranville, Alain M. 5 Mukhopadhyay, Santwana 5 Pachpatte, Baburao Govindrao 5 Rokne, Jon G. 5 Schaefer, Philip W. 5 Singh, Brij Mohan 5 Warne, Paul G. 5 Zenkour, Ashraf M. 4 Ahmed, S. Reaz 4 Axelsson, Axel Owe Holger 4 Breuer, Shlomo 4 deBotton, Gal 4 Demirkoparan, Hasan 4 Drozdov, Aleksey D. 4 Eraslan, Ahmet N. 4 Fernández, Jose Ramon 4 Harutyunyan, Davit 4 Iesan, Dorin 4 Knowles, James K. 4 Kumar, Ajeet 4 Migórski, Stanisław 4 Ochal, Anna 4 Ogden, Raymond William 4 Polignone Warne, Debra 4 Repin, Sergeĭ Igorevich 4 Rubino, Samuele 4 Sarangi, Somnath 4 Shang, Xinchun 4 Zhang, Hongwu 3 Agoras, M. 3 Akis, Tolga 3 Ames, Karen A. 3 Amirat, Youcef Aït 3 Baksa, Attila 3 Bhattacharyya, Ranjan 3 Bofill, Francesc 3 Chacón Rebollo, Tomás 3 Chen, Tungyang 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 Gavrilyuk, Sergey L. 3 Gazzola, Filippo 3 Ghiba, Ionel-Dumitrel 3 Gómez Mármol, Macarena 3 Gupta, Manushi 3 Han, Weimin 3 Huang, Kefu 3 Jiang, Renjin ...and 953 more Authors all top 5 Cited in 155 Serials 126 Journal of Elasticity 88 Mathematics and Mechanics of Solids 59 International Journal of Engineering Science 43 Acta Mechanica 42 Journal of Mathematical Analysis and Applications 31 Journal of the Mechanics and Physics of Solids 29 ZAMP. Zeitschrift für angewandte Mathematik und Physik 28 European Journal of Mechanics. A. Solids 23 Archive for Rational Mechanics and Analysis 22 International Journal of Solids and Structures 22 Applied Mathematics and Mechanics. (English Edition) 19 Archive of Applied Mechanics 18 Computer Methods in Applied Mechanics and Engineering 17 Journal of Engineering Mathematics 16 Meccanica 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Applicable Analysis 11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 10 Computers & Mathematics with Applications 10 Continuum Mechanics and Thermodynamics 10 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 9 Applied Mathematics Letters 9 Proceedings of the Royal Society of London. A. 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Series A 1 Rendiconti del Seminario Matematico della Università di Padova ...and 55 more Serials all top 5 Cited in 34 Fields 714 Mechanics of deformable solids (74-XX) 287 Partial differential equations (35-XX) 92 Fluid mechanics (76-XX) 58 Numerical analysis (65-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 31 Classical thermodynamics, heat transfer (80-XX) 30 Biology and other natural sciences (92-XX) 24 Real functions (26-XX) 17 Ordinary differential equations (34-XX) 14 Operator theory (47-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Functional analysis (46-XX) 8 Differential geometry (53-XX) 7 History and biography (01-XX) 6 Integral equations (45-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Computer science (68-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Mechanics of particles and systems (70-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Optics, electromagnetic theory (78-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 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year