Edit Profile (opens in new tab) Carroll, Michael M. Co-Author Distance Author ID: carroll.michael-m Published as: Carroll, M. M.; Carroll, Michael M. Documents Indexed: 56 Publications since 1968, including 1 Book 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 14 Co-Authors with 26 Joint Publications 345 Co-Co-Authors all top 5 Co-Authors 29 single-authored 5 Rooney, Francis J. 3 Hayes, Michael Alphonsus 3 McCarthy, Matthew F. 3 Rajagopal, Kumbakonam Ramamani 2 Curran, John H. 2 Katsube, Noriko 2 Murphy, Jeremiah G. 1 Agarwal, Vinod Kumar 1 Casey, James 1 Chow, Sheung Chi 1 Erdemir, Elif Tokar 1 Horgan, Cornelius Oliver 1 Horton, Steven B. 1 Hromadka, Theodore V. II 1 Johnson, Anthony N. 1 Miles, Ronald N. 1 Naghdi, Paul Mansour 1 Thomasy, C. 1 Whitley, Robert J. all top 5 Serials 7 Journal of Applied Mechanics 7 Journal of Elasticity 6 Quarterly Journal of Mechanics and Applied Mathematics 5 Mathematics and Mechanics of Solids 4 International Journal of Solids and Structures 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Archive for Rational Mechanics and Analysis 3 International Journal of Engineering Science 3 International Journal of Non-Linear Mechanics 3 Quarterly of Applied Mathematics 1 Acta Mechanica 1 International Journal of Plasticity 1 Journal of the Acoustical Society of America 1 Bulletin of the Technical University of Istanbul 1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 1 Engineering Analysis with Boundary Elements 1 Mathematical Concepts and Methods in Science and Engineering all top 5 Fields 46 Mechanics of deformable solids (74-XX) 8 Fluid mechanics (76-XX) 2 History and biography (01-XX) 2 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 49 Publications have been cited 317 times in 229 Documents Cited by ▼ Year ▼ Finite strain solutions in compressible isotropic elasticity. Zbl 0654.73030 Carroll, M. M. 46 1988 The influence of the reference geometry on the response of elastic shells. Zbl 0283.73034 Carroll, M. M.; Naghdi, P. M. 45 1972 Finite strain solutions for a compressible elastic solid. Zbl 0716.73037 Carroll, M. M.; Horgan, C. O. 23 1990 Must elastic materials be hyperelastic? Zbl 1257.74017 Carroll, M. M. 19 2009 Pressure maximum behavior in inflation of incompressible elastic hollow spheres and cylinders. Zbl 0619.73035 Carroll, M. M. 15 1987 A strain energy function for vulcanized rubbers. Zbl 1273.74022 Carroll, M. M. 14 2011 Oscillatory shearing of nonlinearly elastic solids. Zbl 0291.73027 Carroll, M. M. 14 1974 Finite deformations of incompressible simple solids. I: Isotropic solids. Zbl 0159.27505 Carroll, M. M. 13 1968 A representation theorem for volume-preserving transformations. Zbl 1348.35052 Carroll, M. M. 9 2004 Plane circular shearing of incompressible fluids and solids. Zbl 0361.73005 Carroll, M. M. 9 1977 Inhomogeneous deformations of non-linearly elastic wedges. Zbl 0825.73100 Rajagopal, K. R.; Carroll, M. M. 8 1992 Simplification of the second-order problem for incompressible elastic solids. Zbl 0533.73024 Carroll, M. M.; Rooney, F. J. 6 1984 Compressible isotropic strain energies that support universal irrotational finite deformations. Zbl 1082.74007 Carroll, M. M. 6 2005 Implications of Shield’s inverse deformation theorem for compressible finite elasticity. Zbl 1096.74009 Carroll, M. M.; Rooney, F. J. 6 2005 Mechanical response of fluid-saturated porous materials. Zbl 0472.73015 Carroll, M. M. 5 1980 Plane stress problems for compressible materials. Zbl 0946.74505 Carroll, M. M.; Murphy, J. G.; Rooney, F. J. 5 1994 Radial expansion of hollow spheres of elastic-plastic hardening material. Zbl 0576.73026 Carroll, M. M. 5 1985 A note on an unsteady viscometric flow. Zbl 0663.76002 Rajagopal, K. R.; Carroll, M. M. 4 1988 Azimuthal shear in compressible finite elasticity. Zbl 1120.74011 Carroll, M. M. 4 2007 Admissibility conditions on principal strain invariants. Zbl 1116.74310 Agarwal, V. K.; Carroll, M. M. 4 2005 Finite deformations of incompressible simple solids. II: Transversely isotropic solids. Zbl 0165.28801 Carroll, M. M. 4 1968 The modified mixture theory for fluid-filled porous materials: Applications. Zbl 0604.73006 Katsube, N.; Carroll, M. M. 4 1987 A rate-independent constitutive theory for finite inelastic deformation. Zbl 0604.73049 Carroll, M. M. 4 1987 Pseudo-planar elastic deformations and motions of nonlinear elastic solids. Zbl 0657.73031 Carroll, M. M.; Rajagopal, K. R. 3 1986 The modified mixture theory for fluid-filled porous materials: Theory. Zbl 0604.73005 Katsube, N.; Carroll, M. M. 3 1987 Derivatives of the rotation and stretch tensors. Zbl 1066.74003 Carroll, M. M. 3 2004 On isotropic constraints. Zbl 1213.74020 Carroll, M. M. 3 2009 Controllable motions of incompressible non-simple materials. Zbl 0201.28006 Carroll, M. M. 3 1969 Some universal deformations for a class of compressible elastic solids. Zbl 1345.74014 Carroll, M. M. 2 2001 Non-isochoric bending and shearing. Zbl 1133.74007 Carroll, M. M. 2 2005 On obtaining closed form solutions for compressible nonlinearly elastic materials. Zbl 0829.73021 Carroll, Michael M. 2 1995 Finite bending, stretching, and shearing of a block of orthotropic, incompressible simple solid. Zbl 0177.54302 Carroll, M. M. 2 1968 Unsteady homothermal motions of fluids and isotropic solids. Zbl 0304.73005 Carroll, M. M. 2 1974 Steady-state sound in an enclosure with diffusely reflecting boundary. Zbl 0385.76080 Carroll, M. M.; Miles, R. N. 2 1978 Reflection and transmission of circularly polarized elastic waves of finite amplitude. Zbl 0419.73023 Carroll, M. M. 2 1979 Azimuthal shearing of special compressible materials. Zbl 0787.73035 Carroll, M. M.; Murphy, J. G. 2 1993 Some exact solutions for a class of compressible non-linearly elastic materials. Zbl 1200.74012 Rooney, F. J.; Carroll, M. M. 2 2007 On generating isochoric finite deformations. Zbl 1115.74301 Carroll, Michael M. 1 2007 A note on isotropic elastic response. Zbl 0513.73045 Carroll, M. M. 1 1983 Generating functions for plane or axisymmetric isochoric deformations. Zbl 0534.73033 Rooney, F. J.; Carroll, M. M. 1 1984 Multiple scattering of SH waves by randomly distributed dissimilar scatterers. Zbl 0547.73016 McCarthy, Matthew F.; Carroll, Michael M. 1 1984 Conditions on the elastic strain-energy function. Zbl 0829.73033 Carroll, M. M.; McCarthy, M. F. 1 1995 Nonlinear effects in fluids and solids. Zbl 0846.00011 1 1996 Plane waves in non-simple elastic solids. Zbl 0164.26902 Carroll, M. M. 1 1969 Creep at constant stress in isotropic solids. Zbl 0227.73061 Carroll, M. M. 1 1971 In memory of Ronald S. Rivlin. Zbl 1093.01524 Carroll, Michael M.; Hayes, Michael A. 1 2006 Compaction equations for strain hardening porous materials. Zbl 0606.73033 Kim, K. T.; Carroll, M. M. 1 1987 Finite deformations and motions of radially inextensible hollow spheres. Zbl 1148.74008 Erdemir, E.; Carroll, M. M. 1 2007 Finite deformations and motions of a pre-stressed incompressible elastic tube. Zbl 1197.74016 Carroll, M. M. 1 2009 A strain energy function for vulcanized rubbers. Zbl 1273.74022 Carroll, M. M. 14 2011 Must elastic materials be hyperelastic? Zbl 1257.74017 Carroll, M. M. 19 2009 On isotropic constraints. Zbl 1213.74020 Carroll, M. M. 3 2009 Finite deformations and motions of a pre-stressed incompressible elastic tube. Zbl 1197.74016 Carroll, M. M. 1 2009 Azimuthal shear in compressible finite elasticity. Zbl 1120.74011 Carroll, M. M. 4 2007 Some exact solutions for a class of compressible non-linearly elastic materials. Zbl 1200.74012 Rooney, F. J.; Carroll, M. M. 2 2007 On generating isochoric finite deformations. Zbl 1115.74301 Carroll, Michael M. 1 2007 Finite deformations and motions of radially inextensible hollow spheres. Zbl 1148.74008 Erdemir, E.; Carroll, M. M. 1 2007 In memory of Ronald S. Rivlin. Zbl 1093.01524 Carroll, Michael M.; Hayes, Michael A. 1 2006 Compressible isotropic strain energies that support universal irrotational finite deformations. Zbl 1082.74007 Carroll, M. M. 6 2005 Implications of Shield’s inverse deformation theorem for compressible finite elasticity. Zbl 1096.74009 Carroll, M. M.; Rooney, F. J. 6 2005 Admissibility conditions on principal strain invariants. Zbl 1116.74310 Agarwal, V. K.; Carroll, M. M. 4 2005 Non-isochoric bending and shearing. Zbl 1133.74007 Carroll, M. M. 2 2005 A representation theorem for volume-preserving transformations. Zbl 1348.35052 Carroll, M. M. 9 2004 Derivatives of the rotation and stretch tensors. Zbl 1066.74003 Carroll, M. M. 3 2004 Some universal deformations for a class of compressible elastic solids. Zbl 1345.74014 Carroll, M. M. 2 2001 Nonlinear effects in fluids and solids. Zbl 0846.00011 1 1996 On obtaining closed form solutions for compressible nonlinearly elastic materials. Zbl 0829.73021 Carroll, Michael M. 2 1995 Conditions on the elastic strain-energy function. Zbl 0829.73033 Carroll, M. M.; McCarthy, M. F. 1 1995 Plane stress problems for compressible materials. Zbl 0946.74505 Carroll, M. M.; Murphy, J. G.; Rooney, F. J. 5 1994 Azimuthal shearing of special compressible materials. Zbl 0787.73035 Carroll, M. M.; Murphy, J. G. 2 1993 Inhomogeneous deformations of non-linearly elastic wedges. Zbl 0825.73100 Rajagopal, K. R.; Carroll, M. M. 8 1992 Finite strain solutions for a compressible elastic solid. Zbl 0716.73037 Carroll, M. M.; Horgan, C. O. 23 1990 Finite strain solutions in compressible isotropic elasticity. Zbl 0654.73030 Carroll, M. M. 46 1988 A note on an unsteady viscometric flow. Zbl 0663.76002 Rajagopal, K. R.; Carroll, M. M. 4 1988 Pressure maximum behavior in inflation of incompressible elastic hollow spheres and cylinders. Zbl 0619.73035 Carroll, M. M. 15 1987 The modified mixture theory for fluid-filled porous materials: Applications. Zbl 0604.73006 Katsube, N.; Carroll, M. M. 4 1987 A rate-independent constitutive theory for finite inelastic deformation. Zbl 0604.73049 Carroll, M. M. 4 1987 The modified mixture theory for fluid-filled porous materials: Theory. Zbl 0604.73005 Katsube, N.; Carroll, M. M. 3 1987 Compaction equations for strain hardening porous materials. Zbl 0606.73033 Kim, K. T.; Carroll, M. M. 1 1987 Pseudo-planar elastic deformations and motions of nonlinear elastic solids. Zbl 0657.73031 Carroll, M. M.; Rajagopal, K. R. 3 1986 Radial expansion of hollow spheres of elastic-plastic hardening material. Zbl 0576.73026 Carroll, M. M. 5 1985 Simplification of the second-order problem for incompressible elastic solids. Zbl 0533.73024 Carroll, M. M.; Rooney, F. J. 6 1984 Generating functions for plane or axisymmetric isochoric deformations. Zbl 0534.73033 Rooney, F. J.; Carroll, M. M. 1 1984 Multiple scattering of SH waves by randomly distributed dissimilar scatterers. Zbl 0547.73016 McCarthy, Matthew F.; Carroll, Michael M. 1 1984 A note on isotropic elastic response. Zbl 0513.73045 Carroll, M. M. 1 1983 Mechanical response of fluid-saturated porous materials. Zbl 0472.73015 Carroll, M. M. 5 1980 Reflection and transmission of circularly polarized elastic waves of finite amplitude. Zbl 0419.73023 Carroll, M. M. 2 1979 Steady-state sound in an enclosure with diffusely reflecting boundary. Zbl 0385.76080 Carroll, M. M.; Miles, R. N. 2 1978 Plane circular shearing of incompressible fluids and solids. Zbl 0361.73005 Carroll, M. M. 9 1977 Oscillatory shearing of nonlinearly elastic solids. Zbl 0291.73027 Carroll, M. M. 14 1974 Unsteady homothermal motions of fluids and isotropic solids. Zbl 0304.73005 Carroll, M. M. 2 1974 The influence of the reference geometry on the response of elastic shells. Zbl 0283.73034 Carroll, M. M.; Naghdi, P. M. 45 1972 Creep at constant stress in isotropic solids. Zbl 0227.73061 Carroll, M. M. 1 1971 Controllable motions of incompressible non-simple materials. Zbl 0201.28006 Carroll, M. M. 3 1969 Plane waves in non-simple elastic solids. Zbl 0164.26902 Carroll, M. M. 1 1969 Finite deformations of incompressible simple solids. I: Isotropic solids. Zbl 0159.27505 Carroll, M. M. 13 1968 Finite deformations of incompressible simple solids. II: Transversely isotropic solids. Zbl 0165.28801 Carroll, M. M. 4 1968 Finite bending, stretching, and shearing of a block of orthotropic, incompressible simple solid. Zbl 0177.54302 Carroll, M. M. 2 1968 all cited Publications top 5 cited Publications all top 5 Cited by 286 Authors 17 Rajagopal, Kumbakonam Ramamani 14 Saccomandi, Giuseppe 11 Murphy, Jeremiah G. 10 Carroll, Michael M. 9 Horgan, Cornelius Oliver 8 Wineman, Alan S. 6 Steigmann, David J. 5 Beatty, Millard F. jun. 5 Goriely, Alain 5 Simo, Juan Carlos 5 Tarantino, Angelo Marcello 4 Aron, Marian 4 Ben Amar, Martine 4 Destrade, Michel 4 Guo, Jianlin 3 Adeleke, S. A. 3 Anssari-Benam, Afshin 3 Casey, James 3 Chen, Yichao 3 Ciarletta, Pasquale 3 Cohen, Harley 3 Fox, David D. 3 Lanzoni, Luca 3 Mihai, L. Angela 3 Naghdi, Paul Mansour 3 Neff, Patrizio 3 Saravanan, Umakanthan 3 Thompson, Roney L. 3 Yuan, Xuegang 2 Brank, Boštjan 2 Bruhns, Otto Timme 2 Bustamante, Roger 2 Cheng, Alexander H.-D. 2 Cheng, Changjun 2 Cross, J. J. 2 Epstein, Marcelo 2 Falope, Federico Oyedeji 2 Hossain, Mokarram 2 Huang, Kefu 2 Ibrahimbegović, Adnan 2 Jin, Ming 2 Kaloni, Purna N. 2 Katsube, Noriko 2 Levin, Vladimir Anatol’evich 2 Liu, Youwen 2 Mukherjee, Subrata 2 Murdoch, A. Ian 2 O’Reilly, Oliver Mary 2 Pence, Thomas J. 2 Polignone Warne, Debra 2 Pucci, Edvige 2 Raoult, Annie 2 Rooney, Francis J. 2 Steinmann, Paul 2 Suvorov, Alexander P. 2 Vetyukov, Yury M. 2 Walton, Jay R. 2 Wang, Yi 2 Warne, Paul G. 2 Wu, Jike 2 Yavari, Arash 2 Zhu, Zhengyou 2 Zidi, Mustapha 1 Abdalla, Mostafa M. 1 Aboudi, Jacob 1 Abrahams, I. David 1 Abrami, Michela 1 Achenbach, Jan D. 1 Aganović, Ibrahim 1 Akyuz, Ugurhan 1 Alawiye, Hamza 1 Alexanderian, Alen 1 Altenbach, Holm 1 Antman, Stuart S. 1 Archer, Robert R. 1 Arfaoui, Makrem 1 Arnold, Steven M. 1 Arribas, Juan J. 1 As’ad, Faisal 1 Atkin, R. J. 1 Avazmohammadi, Reza 1 Avery, Philip 1 Bacciocchi, Michele 1 Bardella, Lorenzo 1 Batra, Romesh C. 1 Bechtel, Stephen E. 1 Bevilacqua, Giulia 1 Bordner, Adrien 1 Bostwick, Joshua B. 1 Bridges, Craig 1 Bucchi, Andrea 1 Bulíček, Miroslav 1 Burela, Ramesh Gupta 1 Burenin, Anatoliĭ Aleksandrovich 1 Capriz, Gianfranco 1 Carrol, M. M. 1 Celigoj, Christian C. 1 Chapman, Andrew M. 1 Chen, Xiaohui 1 Chen, Zhenghan ...and 186 more Authors all top 5 Cited in 41 Serials 44 Journal of Elasticity 38 Mathematics and Mechanics of Solids 25 International Journal of Engineering Science 22 Acta Mechanica 15 Archive for Rational Mechanics and Analysis 8 European Journal of Mechanics. A. Solids 7 Computer Methods in Applied Mechanics and Engineering 7 Journal of the Mechanics and Physics of Solids 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Applied Mathematics and Mechanics. (English Edition) 3 Wave Motion 3 International Journal for Numerical Methods in Engineering 3 Meccanica 2 Ingenieur-Archiv 2 International Journal of Solids and Structures 2 Journal of Engineering Mathematics 2 Mechanics Research Communications 2 Computational Mechanics 2 Continuum Mechanics and Thermodynamics 2 Mechanics of Solids 1 Journal of Mathematical Physics 1 Nonlinearity 1 Journal of Computational and Applied Mathematics 1 Ricerche di Matematica 1 Archive of Applied Mechanics 1 Journal of Nonlinear Science 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Multibody System Dynamics 1 Journal of Shanghai University 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Nonlinear Science and Numerical Simulation 1 Physical Review E. Third Series 1 International Journal of Geometric Methods in Modern Physics 1 Journal of Computational Acoustics 1 Acta Mechanica Sinica 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 EMS Surveys in Mathematical Sciences 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 20 Fields 217 Mechanics of deformable solids (74-XX) 19 Fluid mechanics (76-XX) 11 Partial differential equations (35-XX) 8 Biology and other natural sciences (92-XX) 7 Differential geometry (53-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Ordinary differential equations (34-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Citations by Year