## Carlson, Donald Earle

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 Author ID: carlson.donald-earle Published as: Carlson, Donald E.; Carlson, D. E. External Links: MacTutor · MGP
 Documents Indexed: 26 Publications since 1965 2 Contributions as Editor Biographic References: 4 Publications Co-Authors: 12 Co-Authors with 19 Joint Publications 225 Co-Co-Authors
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### Co-Authors

 9 single-authored 4 Hoger, Anne 3 Fried, Eliot 3 Shield, Richard Thorpe 2 Martin, Stephen E. 2 Petroski, Henry J. 2 Tortorelli, Daniel A. 1 Anderson, David Robert 1 Chan, Conway 1 Chen, Yichao 1 Man, Chi-Sing 1 Sellers, Shaun 1 Yarrington, Paul
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### Serials

 10 Journal of Elasticity 5 Archive for Rational Mechanics and Analysis 4 Quarterly of Applied Mathematics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 International Journal of Engineering Science 1 Journal of Applied Mechanics 1 Journal of Mathematical Analysis and Applications 1 Mathematics and Mechanics of Solids
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### Fields

 17 Mechanics of deformable solids (74-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

27 Publications have been cited 261 times in 207 Documents Cited by Year
Determination of the stretch and rotation in the polar decomposition of the deformation gradient. Zbl 0551.73004
Hoger, Anne; Carlson, Donald E.
1984
On the derivative of the square root of a tensor and Guo’s rate theorems. Zbl 0576.73004
Hoger, Anne; Carlson, Donald E.
1984
The derivative of a tensor-valued function of a tensor. Zbl 0611.15019
Carlson, Donald E.; Hoger, Anne
1986
A continuum-mechanical theory for nematic elastomers. Zbl 0978.74004
Anderson, David Robert; Carlson, Donald E.; Fried, Eliot
1999
On the traction problem of dead loading in linear elasticity with initial stress. Zbl 0829.73017
Man, Chi-Sing; Carlson, Donald E.
1994
Some exact solutions to the equations of nonlinear thermoelasticity. Zbl 0221.73013
Petroski, H. J.; Carlson, D. E.
1970
Controllable states of elastic heat conductors. Zbl 0169.28101
Petroski, Henry J.; Carlson, Donald E.
1968
On Günther’s stress functions for couple stresses. Zbl 0158.21402
Carlson, Donald E.
1967
On hyperelasticity with internal constraints. Zbl 0853.73012
Carlson, Donald E.; Tortorelli, Daniel A.
1996
Second-order incompressible elastic torsion. Zbl 0197.51205
Chan, Conway; Carlson, Donald E.
1970
On the derivatives of the principal invariants of a second-order tensor. Zbl 0585.73006
Carlson, Donald E.; Hoger, Anne
1986
Geometrically-based consequences of internal constraints. Zbl 1074.74004
Carlson, Donald E.; Fried, Eliot; Tortorelli, Daniel A.
2003
Force-free states, relative strain, and soft elasticity in nematic elastomers. Zbl 1171.74308
Carlson, Donald E.; Fried, Eliot; Sellers, Shaun
2002
A note on the solutions of Boussinesq, Love, and Marguerre in axisymmetric elasticity. Zbl 0532.73015
Carlson, Donald E.
1983
Stress functions for couple and dipolar stresses. Zbl 0148.19301
Carlson, D. E.
1966
The behavior of elastic heat conductors with second-order response functions. Zbl 0356.73008
Martin, Stephen E.; Carlson, Donald E.
1977
Successive approximations in nonlinear thermoelasticity. Zbl 0367.73011
Yarrington, Paul; Carlson, Donald E.
1976
Second and higher order effects in a class of problems in plane finite elasticity. Zbl 0138.20903
Carlson, D. E.; Shield, R. T.
1965
On the completeness of the Beltrami stress functions in continuum mechanics. Zbl 0141.42301
Carlson, D. E.
1966
Inverse deformation results for elastic materials. Zbl 0167.52801
Carlson, Donald E.; Shield, Richard T.
1969
On some new results in dimensional analysis. Zbl 0398.70001
Carlson, Donald E.
1978
A mathematical theory of physical units, dimensions, and measures. Zbl 0444.70002
Carlson, Donald E.
1979
Stress functions for plane problems with couple stresses. Zbl 0151.36402
Carlson, Donald E.
1966
A note on Ericksen’s problem. Zbl 0348.73013
Martin, Stephen E.; Carlson, Donald E.
1976
On the range of applicability of linearized elasticity. Zbl 1269.74018
Carlson, Donald E.
2011
In recognition of the sixtieth birthday of M. E. Gurtin. Zbl 0829.01017
Carlson, Donald E.
1995
Special issue: In recognition of the 60th birthday of Roger L. Fosdick. Zbl 0974.00052
2000
On the range of applicability of linearized elasticity. Zbl 1269.74018
Carlson, Donald E.
2011
Geometrically-based consequences of internal constraints. Zbl 1074.74004
Carlson, Donald E.; Fried, Eliot; Tortorelli, Daniel A.
2003
Force-free states, relative strain, and soft elasticity in nematic elastomers. Zbl 1171.74308
Carlson, Donald E.; Fried, Eliot; Sellers, Shaun
2002
Special issue: In recognition of the 60th birthday of Roger L. Fosdick. Zbl 0974.00052
2000
A continuum-mechanical theory for nematic elastomers. Zbl 0978.74004
Anderson, David Robert; Carlson, Donald E.; Fried, Eliot
1999
On hyperelasticity with internal constraints. Zbl 0853.73012
Carlson, Donald E.; Tortorelli, Daniel A.
1996
In recognition of the sixtieth birthday of M. E. Gurtin. Zbl 0829.01017
Carlson, Donald E.
1995
On the traction problem of dead loading in linear elasticity with initial stress. Zbl 0829.73017
Man, Chi-Sing; Carlson, Donald E.
1994
The derivative of a tensor-valued function of a tensor. Zbl 0611.15019
Carlson, Donald E.; Hoger, Anne
1986
On the derivatives of the principal invariants of a second-order tensor. Zbl 0585.73006
Carlson, Donald E.; Hoger, Anne
1986
Determination of the stretch and rotation in the polar decomposition of the deformation gradient. Zbl 0551.73004
Hoger, Anne; Carlson, Donald E.
1984
On the derivative of the square root of a tensor and Guo’s rate theorems. Zbl 0576.73004
Hoger, Anne; Carlson, Donald E.
1984
A note on the solutions of Boussinesq, Love, and Marguerre in axisymmetric elasticity. Zbl 0532.73015
Carlson, Donald E.
1983
A mathematical theory of physical units, dimensions, and measures. Zbl 0444.70002
Carlson, Donald E.
1979
On some new results in dimensional analysis. Zbl 0398.70001
Carlson, Donald E.
1978
The behavior of elastic heat conductors with second-order response functions. Zbl 0356.73008
Martin, Stephen E.; Carlson, Donald E.
1977
Successive approximations in nonlinear thermoelasticity. Zbl 0367.73011
Yarrington, Paul; Carlson, Donald E.
1976
A note on Ericksen’s problem. Zbl 0348.73013
Martin, Stephen E.; Carlson, Donald E.
1976
Some exact solutions to the equations of nonlinear thermoelasticity. Zbl 0221.73013
Petroski, H. J.; Carlson, D. E.
1970
Second-order incompressible elastic torsion. Zbl 0197.51205
Chan, Conway; Carlson, Donald E.
1970
Inverse deformation results for elastic materials. Zbl 0167.52801
Carlson, Donald E.; Shield, Richard T.
1969
Controllable states of elastic heat conductors. Zbl 0169.28101
Petroski, Henry J.; Carlson, Donald E.
1968
On Günther’s stress functions for couple stresses. Zbl 0158.21402
Carlson, Donald E.
1967
Stress functions for couple and dipolar stresses. Zbl 0148.19301
Carlson, D. E.
1966
On the completeness of the Beltrami stress functions in continuum mechanics. Zbl 0141.42301
Carlson, D. E.
1966
Stress functions for plane problems with couple stresses. Zbl 0151.36402
Carlson, Donald E.
1966
Second and higher order effects in a class of problems in plane finite elasticity. Zbl 0138.20903
Carlson, D. E.; Shield, R. T.
1965
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### Cited by 241 Authors

 7 Carlson, Donald Earle 7 Dui, Guansuo 7 Fried, Eliot 7 Man, Chi-Sing 6 Perić, Djordje 5 Acharya, Amit 5 Paroni, Roberto 5 Petroski, Henry J. 5 Tanuma, Kazumi 4 Casey, James 4 de Souza Neto, Eduardo Alberto 4 Goriely, Alain 4 Guo, Jianlin 4 Hoger, Anne 4 Iesan, Dorin 4 Zdunek, Adam 3 Chen, Yichao 3 Dunwoody, J. 3 Mihai, L. Angela 3 Morro, Angelo 3 Naghdabadi, Reza 3 Owen, D. Roger J. 3 Pence, Thomas J. 3 Rachowicz, Waldemar 3 Rajagopal, Kumbakonam Ramamani 3 Saccomandi, Giuseppe 3 Shield, Richard Thorpe 3 Steigmann, David J. 3 Todres, Russell E. 3 Tomassetti, Giuseppe 3 Wheeler, Lewis T. 3 Yavari, Arash 2 Angoshtari, Arzhang 2 Benson, David J. 2 Blume, Janet A. 2 Caviglia, Giacomo 2 Chiriţă, Stan 2 Huo, Yongzhong 2 Jin, Ming 2 Kaloni, Purna N. 2 Komvopoulos, Kyriakos 2 Korobeĭnikov, Sergeĭ Nikolaevich 2 Liu, Youwen 2 Luehr, Charles P. 2 Muñoz Rivera, Jaime Edilberto 2 Neto, Antônio Francisco 2 Quintanilla de Latorre, Ramón 2 Rizza, Gregory J. 2 Scott, Nigel H. 2 Singh, Sanasam Sarat 2 Srinivasa, Arun R. 2 Tartibi, M. 2 Ting, Thomas C. T. 1 Aifantis, Elias C. 1 Allahdadi, Firooz A. 1 Aluru, Narayana R. 1 Alwan, Aravind 1 Anand, Lallit 1 Andrade-Campos, António 1 Aravas, Nikolaos 1 Areias, Pedro M. A. 1 Bahai, Hamid 1 Bauman, Patricia E. 1 Beju, Iulian 1 Bertram, Albrecht 1 Böhlke, Thomas 1 Bouby, Céline 1 Bruhns, Otto Timme 1 Caillerie, Denis 1 Calderer, Maria-Carme T. 1 Carol, Ignacio 1 Carroll, Michael M. 1 Cermelli, Paolo 1 Chen, Francis H. K. 1 Chen, Liangsen 1 Chen, Mengcheng 1 Chen, Yue 1 Ciarletta, Michele 1 Coombs, William M. 1 Craciun, Ion Al. 1 Crook, A. J. L. 1 Crouch, Roger S. 1 D’Apice, Ciro 1 Daví, Fabrizio 1 Dayal, Kaushik 1 Dehghan Takht Fooladi, Mehdi 1 Dettmer, Wulf G. 1 Dixit, P. M. 1 Dodds, Robert H. jun. 1 Dolbow, John E. 1 Du, Wenwen 1 Dubey, R. N. 1 Dudra, Judit 1 Eriksson, Thomas 1 Farahani, K. 1 Ferrari, Mauro 1 Fiala, Zdeněk 1 Fish, Jacob 1 Fortune, Danielle 1 Franca, Leopoldo Luis Cabo Penna ...and 141 more Authors
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### Cited in 44 Serials

 54 Journal of Elasticity 19 Mathematics and Mechanics of Solids 16 Computer Methods in Applied Mechanics and Engineering 12 Archive for Rational Mechanics and Analysis 12 Journal of the Mechanics and Physics of Solids 11 International Journal of Engineering Science 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Acta Mechanica 6 International Journal for Numerical Methods in Engineering 6 Applied Mathematics and Mechanics. (English Edition) 4 Computers & Mathematics with Applications 4 Journal of Mathematical Analysis and Applications 4 Computational Mechanics 3 Meccanica 3 Continuum Mechanics and Thermodynamics 2 International Journal of Solids and Structures 2 Applied Mathematics and Computation 2 Quarterly of Applied Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Discrete and Continuous Dynamical Systems. Series S 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal of Plasticity 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Reports on Mathematical Physics 1 Wave Motion 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Applied Mathematics Letters 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Acta Mechanica Sinica. (English Edition) 1 Communications in Numerical Methods in Engineering 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. B. Fluids 1 Engineering Computations 1 The ANZIAM Journal 1 Science in China. Series G 1 Acta Mechanica Sinica 1 Journal of Statistical Theory and Practice
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### Cited in 22 Fields

 171 Mechanics of deformable solids (74-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 18 Fluid mechanics (76-XX) 14 Partial differential equations (35-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Numerical analysis (65-XX) 10 Differential geometry (53-XX) 8 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 Mechanics of particles and systems (70-XX) 2 Potential theory (31-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX)