Edit Profile (opens in new tab) Carlson, Donald Earle Co-Author Distance 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 238 Co-Co-Authors all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 281 times in 221 Documents Cited by ▼ Year ▼ Determination of the stretch and rotation in the polar decomposition of the deformation gradient. Zbl 0551.73004Hoger, Anne; Carlson, Donald E. 39 1984 A continuum-mechanical theory for nematic elastomers. Zbl 0978.74004Anderson, David Robert; Carlson, Donald E.; Fried, Eliot 29 1999 The derivative of a tensor-valued function of a tensor. Zbl 0611.15019Carlson, Donald E.; Hoger, Anne 28 1986 On the derivative of the square root of a tensor and Guo’s rate theorems. Zbl 0576.73004Hoger, Anne; Carlson, Donald E. 27 1984 On the traction problem of dead loading in linear elasticity with initial stress. Zbl 0829.73017Man, Chi-Sing; Carlson, Donald E. 23 1994 Some exact solutions to the equations of nonlinear thermoelasticity. Zbl 0221.73013Petroski, H. J.; Carlson, D. E. 22 1970 Controllable states of elastic heat conductors. Zbl 0169.28101Petroski, Henry J.; Carlson, Donald E. 17 1968 On Günther’s stress functions for couple stresses. Zbl 0158.21402Carlson, Donald E. 11 1967 On hyperelasticity with internal constraints. Zbl 0853.73012Carlson, Donald E.; Tortorelli, Daniel A. 9 1996 Second-order incompressible elastic torsion. Zbl 0197.51205Chan, Conway; Carlson, Donald E. 8 1970 On the derivatives of the principal invariants of a second-order tensor. Zbl 0585.73006Carlson, Donald E.; Hoger, Anne 7 1986 Force-free states, relative strain, and soft elasticity in nematic elastomers. Zbl 1171.74308Carlson, Donald E.; Fried, Eliot; Sellers, Shaun 7 2002 Geometrically-based consequences of internal constraints. Zbl 1074.74004Carlson, Donald E.; Fried, Eliot; Tortorelli, Daniel A. 7 2003 A note on the solutions of Boussinesq, Love, and Marguerre in axisymmetric elasticity. Zbl 0532.73015Carlson, Donald E. 5 1983 Second and higher order effects in a class of problems in plane finite elasticity. Zbl 0138.20903Carlson, D. E.; Shield, R. T. 5 1965 Stress functions for couple and dipolar stresses. Zbl 0148.19301Carlson, D. E. 5 1966 The behavior of elastic heat conductors with second-order response functions. Zbl 0356.73008Martin, Stephen E.; Carlson, Donald E. 4 1977 Successive approximations in nonlinear thermoelasticity. Zbl 0367.73011Yarrington, Paul; Carlson, Donald E. 4 1976 A mathematical theory of physical units, dimensions, and measures. Zbl 0444.70002Carlson, Donald E. 4 1979 On the completeness of the Beltrami stress functions in continuum mechanics. Zbl 0141.42301Carlson, D. E. 4 1966 Inverse deformation results for elastic materials. Zbl 0167.52801Carlson, Donald E.; Shield, Richard T. 4 1969 On some new results in dimensional analysis. Zbl 0398.70001Carlson, Donald E. 3 1978 Stress functions for plane problems with couple stresses. Zbl 0151.36402Carlson, Donald E. 3 1966 On the range of applicability of linearized elasticity. Zbl 1269.74018Carlson, Donald E. 2 2011 A note on Ericksen’s problem. Zbl 0348.73013Martin, Stephen E.; Carlson, Donald E. 2 1976 Special issue: In recognition of the 60th birthday of Roger L. Fosdick. Zbl 0974.00052 1 2000 In recognition of the sixtieth birthday of M. E. Gurtin. Zbl 0829.01017Carlson, Donald E. 1 1995 On the range of applicability of linearized elasticity. Zbl 1269.74018Carlson, Donald E. 2 2011 Geometrically-based consequences of internal constraints. Zbl 1074.74004Carlson, Donald E.; Fried, Eliot; Tortorelli, Daniel A. 7 2003 Force-free states, relative strain, and soft elasticity in nematic elastomers. Zbl 1171.74308Carlson, Donald E.; Fried, Eliot; Sellers, Shaun 7 2002 Special issue: In recognition of the 60th birthday of Roger L. Fosdick. Zbl 0974.00052 1 2000 A continuum-mechanical theory for nematic elastomers. Zbl 0978.74004Anderson, David Robert; Carlson, Donald E.; Fried, Eliot 29 1999 On hyperelasticity with internal constraints. Zbl 0853.73012Carlson, Donald E.; Tortorelli, Daniel A. 9 1996 In recognition of the sixtieth birthday of M. E. Gurtin. Zbl 0829.01017Carlson, Donald E. 1 1995 On the traction problem of dead loading in linear elasticity with initial stress. Zbl 0829.73017Man, Chi-Sing; Carlson, Donald E. 23 1994 The derivative of a tensor-valued function of a tensor. Zbl 0611.15019Carlson, Donald E.; Hoger, Anne 28 1986 On the derivatives of the principal invariants of a second-order tensor. Zbl 0585.73006Carlson, Donald E.; Hoger, Anne 7 1986 Determination of the stretch and rotation in the polar decomposition of the deformation gradient. Zbl 0551.73004Hoger, Anne; Carlson, Donald E. 39 1984 On the derivative of the square root of a tensor and Guo’s rate theorems. Zbl 0576.73004Hoger, Anne; Carlson, Donald E. 27 1984 A note on the solutions of Boussinesq, Love, and Marguerre in axisymmetric elasticity. Zbl 0532.73015Carlson, Donald E. 5 1983 A mathematical theory of physical units, dimensions, and measures. Zbl 0444.70002Carlson, Donald E. 4 1979 On some new results in dimensional analysis. Zbl 0398.70001Carlson, Donald E. 3 1978 The behavior of elastic heat conductors with second-order response functions. Zbl 0356.73008Martin, Stephen E.; Carlson, Donald E. 4 1977 Successive approximations in nonlinear thermoelasticity. Zbl 0367.73011Yarrington, Paul; Carlson, Donald E. 4 1976 A note on Ericksen’s problem. Zbl 0348.73013Martin, Stephen E.; Carlson, Donald E. 2 1976 Some exact solutions to the equations of nonlinear thermoelasticity. Zbl 0221.73013Petroski, H. J.; Carlson, D. E. 22 1970 Second-order incompressible elastic torsion. Zbl 0197.51205Chan, Conway; Carlson, Donald E. 8 1970 Inverse deformation results for elastic materials. Zbl 0167.52801Carlson, Donald E.; Shield, Richard T. 4 1969 Controllable states of elastic heat conductors. Zbl 0169.28101Petroski, Henry J.; Carlson, Donald E. 17 1968 On Günther’s stress functions for couple stresses. Zbl 0158.21402Carlson, Donald E. 11 1967 Stress functions for couple and dipolar stresses. Zbl 0148.19301Carlson, D. E. 5 1966 On the completeness of the Beltrami stress functions in continuum mechanics. Zbl 0141.42301Carlson, D. E. 4 1966 Stress functions for plane problems with couple stresses. Zbl 0151.36402Carlson, Donald E. 3 1966 Second and higher order effects in a class of problems in plane finite elasticity. Zbl 0138.20903Carlson, D. E.; Shield, R. T. 5 1965 all cited Publications top 5 cited Publications all top 5 Cited by 259 Authors 7 Carlson, Donald Earle 7 Dui, Guansuo 7 Fried, Eliot 7 Man, Chi-Sing 6 Perić, Djordje 5 Acharya, Amit 5 Goriely, Alain 5 Paroni, Roberto 5 Petroski, Henry J. 5 Tanuma, Kazumi 5 Zdunek, Adam 4 Casey, James 4 de Souza Neto, Eduardo Alberto 4 Guo, Jianlin 4 Hoger, Anne 4 Iesan, Dorin 4 Rachowicz, Waldemar 4 Yavari, Arash 3 Chen, Yichao 3 Dunwoody, J. 3 Fish, Jacob 3 Mihai, L. Angela 3 Morro, Angelo 3 Naghdabadi, Reza 3 Owen, David Roger Jones 3 Pence, Thomas J. 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. 2 Angoshtari, Arzhang 2 Benson, David J. 2 Blume, Janet A. 2 Bruhns, Otto Timme 2 Caviglia, Giacomo 2 Chiriţă, Stan 2 Huo, Yongzhong 2 Jiao, Yang 2 Jin, Ming 2 Kaloni, Purna N. 2 Komvopoulos, Kyriakos 2 Korobeĭnikov, Sergeĭ Nikolaevich 2 Lalvohbika, J. 2 Liu, Youwen 2 Luehr, Charles P. 2 Muñoz Rivera, Jaime Edilberto 2 Musielak, Zdzislaw E. 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 Ahmia, Moussa 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 Boufelgha, Ibrahim 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 Concas, Francesca 1 Coombs, William M. 1 Craciun, Ion Al. 1 Crook, A. J. L. 1 Crouch, Roger S. 1 D’Apice, Ciro 1 Davachi, N. 1 Daví, Fabrizio 1 Dayal, Kaushik 1 Dehghan Takht Fooladi, Mehdi 1 Dettmer, Wulf G. 1 Dietzsch, Julian 1 Dixit, P. M. 1 Dodds, Robert H. jun. 1 Dolbow, John E. 1 Du, Wenwen ...and 159 more Authors all top 5 Cited in 50 Serials 56 Journal of Elasticity 20 Mathematics and Mechanics of Solids 19 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 8 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 Acta Mechanica Sinica 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 Physics Letters. A 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 Semigroup Forum 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. A. Solids 1 European Journal of Mechanics. B. Fluids 1 Engineering Computations 1 The ANZIAM Journal 1 Journal of Applied Mathematics 1 Science in China. Series G 1 Waves in Random and Complex Media 1 Journal of Statistical Theory and Practice 1 Discrete Mathematics, Algorithms and Applications all top 5 Cited in 23 Fields 181 Mechanics of deformable solids (74-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 22 Fluid mechanics (76-XX) 18 Statistical mechanics, structure of matter (82-XX) 14 Partial differential equations (35-XX) 12 Numerical analysis (65-XX) 10 Differential geometry (53-XX) 8 Classical thermodynamics, heat transfer (80-XX) 5 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-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 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year