×

Carroll, Michael M.

Author ID: carroll.michael-m Recent zbMATH articles by "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

Publications by Year

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 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

Citations by Year