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## Douglas, Andrew S.

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 Author ID: douglas.andrew-s Published as: Douglas, Andrew; Douglas, A. S.; Douglas, Andrew S.; Douglas, A.
 Documents Indexed: 40 Publications since 1928 Reviewing Activity: 3 Reviews
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#### Co-Authors

 6 single-authored 13 Repka, Joe 2 Criscione, John C. 2 Freund, Lambert B. 2 Hunter, William C. 2 Kahrobaei, Delaram 2 Premack, Timothy 1 Ashton, Winifred D. 1 Bencsáth, Katalin A. 1 Bremner, Murray R. 1 Bryenton, Nicolas 1 Chen, H. Tz. 1 Cochran, William Gemmell 1 Davies, Cameron 1 de Graaf, Willem Adriaan 1 de Guise, Hubert 1 Haque, Saminul 1 Hauser, Kieran 1 Hudson, J. A. 1 Humphrey, Jay D. 1 Janisse, Thaddeus 1 Joseph, Wainright 1 Joseph, Wainwright 1 Kembhavi, V. K. 1 Koster, Matthew 1 Li, Guoan 1 Liu, Jessica 1 Ma, Thomas 1 Malek-Madani, Reza 1 Markos, Peter 1 Marra, S. P. 1 McKellar, Dougan Kelk 1 Mitchell, A. J. 1 Mooroogen, Yuveshen 1 Muttalib, K. A. 1 Premat, Alejandra 1 Rabinovich, Arthur 1 Ramesh, K. T. 1 Sellers, Howard Shaun 1 Sorkhou, Saied 1 Tait, R. B. 1 Wu, Matt
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#### Serials

 6 Journal of Mathematical Physics 4 Journal of the Mechanics and Physics of Solids 3 Journal of Algebra 2 Communications in Algebra 2 Journal of Pure and Applied Algebra 2 Quarterly of Applied Mathematics 2 Proceedings of the Cambridge Philosophical Society 2 Journal of Physics A: Mathematical and Theoretical 1 Bulletin of the Australian Mathematical Society 1 The Geophysical Journal of the Royal Astronomical Society 1 International Journal of Plasticity 1 International Journal of Solids and Structures 1 Linear and Multilinear Algebra 1 Wave Motion 1 The Computer Journal. Section A / Section B 1 The Review of Economic Studies 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Irish Mathematical Society Bulletin 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin of the American Mathematical Society
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#### Fields

 16 Nonassociative rings and algebras (17-XX) 12 Mechanics of deformable solids (74-XX) 4 Quantum theory (81-XX) 2 Topological groups, Lie groups (22-XX) 2 Partial differential equations (35-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

23 Publications have been cited 150 times in 96 Documents Cited by Year
An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity. Zbl 0983.74012
Criscione, John C.; Humphrey, Jay D.; Douglas, Andrew S.; Hunter, William C.
2000
Physically based strain invariant set for materials exhibiting transversely isotropic behavior. Zbl 0980.74012
Criscione, John C.; Douglas, Andrew S.; Hunter, William C.
2001
A class of nonunitary, finite dimensional representations of the Euclidean algebra $$\mathfrak e(2)$$. Zbl 1232.17012
Douglas, Andrew; Premat, Alejandra
2007
Some nonunitary, indecomposable representations of the Euclidean algebra. Zbl 1188.22013
Douglas, Andrew; de Guise, Hubert
2010
The influence of inertia on elastic-plastic antiplane-shear crack growth. Zbl 0482.73078
Freund, L. B.; Douglas, A. S.
1982
Embeddings of the Euclidean algebra $$\mathfrak{e}(3)$$ into $$\mathfrak{sl}(4,\mathbb{C})$$ and restrictions of irreducible representations of $$\mathfrak{sl}(4,\mathbb{C})$$. Zbl 1314.22009
Douglas, Andrew; Repka, Joe
2011
Indecomposable representations of the Euclidean algebra $$\mathfrak e(3)$$ from irreducible representations of $$\mathfrak {sl}(4, \mathbb C)$$. Zbl 1239.17002
Douglas, Andrew; Repka, Joe
2011
Classification of embeddings of abelian extensions of $$D_n$$ into $$E_{n+1}$$. Zbl 1329.17009
Douglas, Andrew; Kahrobaei, Delaram; Repka, Joe
2013
The Euclidean algebra in rank 2 classical Lie algebras. Zbl 1328.17010
Douglas, Andrew; Repka, Joe; Joseph, Wainwright
2014
Levi decomposable algebras in the classical Lie algebras. Zbl 1354.17007
Douglas, Andrew; Repka, Joe
2015
The subalgebras of $$\mathfrak{so}(4,\mathbb C)$$. Zbl 1403.17005
Douglas, Andrew; Repka, Joe
2016
The simple non-Lie Malcev algebra as a Lie-Yamaguti algebra. Zbl 1305.17004
Bremner, Murray R.; Douglas, Andrew
2012
The subalgebras of $$A_2$$. Zbl 1377.17007
Douglas, Andrew; Repka, Joe
2016
Levi decomposable subalgebras of the symplectic algebra $$C_{2}$$. Zbl 1394.17023
Douglas, Andrew; Repka, Joe
2015
The subalgebras of the rank two symplectic Lie algebra. Zbl 1419.17016
Douglas, Andrew; Repka, Joe
2017
An asymptotic stability condition for inhomogeneous simple shear. Zbl 0678.73039
Chen, H. Tz.; Douglas, A. S.; Malek-Madani, R.
1989
Subalgebras of the rank two semisimple Lie algebras. Zbl 1398.17005
Douglas, Andrew; Repka, Joe
2018
The GraviGUT algebra is not a subalgebra of $$E_{8}$$, but $$E_{8}$$ does contain an extended GraviGUT algebra. Zbl 1348.17010
Douglas, Andrew; Repka, Joe
2014
Finite dimensional representations of the Euclidean algebra $$\mathfrak e$$(2) having two generators. Zbl 1111.17002
Douglas, Andrew
2006
A physical theory of finite plasticity from a theoretical perspective. Zbl 0712.73033
Sellers, H. S.; Douglas, A. S.
1990
Some residually solvable one-relator groups. Zbl 1230.20031
Bencsáth, Katalin; Douglas, Andrew; Kahrobaei, Delaram
2010
A classification of the embeddings of the diamond Lie algebra into $$\mathfrak{sl}(3,\mathbb{C})$$ and $$\mathfrak{sp}(4,\mathbb{C})$$, and restrictions of irreducible modules. Zbl 1272.17017
Douglas, Andrew; Joseph, Wainright; Repka, Joe
2011
On the Sturm-Liouville equation with two-point boundary conditions. Zbl 0072.33504
Douglas, A. S.
1956
Subalgebras of the rank two semisimple Lie algebras. Zbl 1398.17005
Douglas, Andrew; Repka, Joe
2018
The subalgebras of the rank two symplectic Lie algebra. Zbl 1419.17016
Douglas, Andrew; Repka, Joe
2017
The subalgebras of $$\mathfrak{so}(4,\mathbb C)$$. Zbl 1403.17005
Douglas, Andrew; Repka, Joe
2016
The subalgebras of $$A_2$$. Zbl 1377.17007
Douglas, Andrew; Repka, Joe
2016
Levi decomposable algebras in the classical Lie algebras. Zbl 1354.17007
Douglas, Andrew; Repka, Joe
2015
Levi decomposable subalgebras of the symplectic algebra $$C_{2}$$. Zbl 1394.17023
Douglas, Andrew; Repka, Joe
2015
The Euclidean algebra in rank 2 classical Lie algebras. Zbl 1328.17010
Douglas, Andrew; Repka, Joe; Joseph, Wainwright
2014
The GraviGUT algebra is not a subalgebra of $$E_{8}$$, but $$E_{8}$$ does contain an extended GraviGUT algebra. Zbl 1348.17010
Douglas, Andrew; Repka, Joe
2014
Classification of embeddings of abelian extensions of $$D_n$$ into $$E_{n+1}$$. Zbl 1329.17009
Douglas, Andrew; Kahrobaei, Delaram; Repka, Joe
2013
The simple non-Lie Malcev algebra as a Lie-Yamaguti algebra. Zbl 1305.17004
Bremner, Murray R.; Douglas, Andrew
2012
Embeddings of the Euclidean algebra $$\mathfrak{e}(3)$$ into $$\mathfrak{sl}(4,\mathbb{C})$$ and restrictions of irreducible representations of $$\mathfrak{sl}(4,\mathbb{C})$$. Zbl 1314.22009
Douglas, Andrew; Repka, Joe
2011
Indecomposable representations of the Euclidean algebra $$\mathfrak e(3)$$ from irreducible representations of $$\mathfrak {sl}(4, \mathbb C)$$. Zbl 1239.17002
Douglas, Andrew; Repka, Joe
2011
A classification of the embeddings of the diamond Lie algebra into $$\mathfrak{sl}(3,\mathbb{C})$$ and $$\mathfrak{sp}(4,\mathbb{C})$$, and restrictions of irreducible modules. Zbl 1272.17017
Douglas, Andrew; Joseph, Wainright; Repka, Joe
2011
Some nonunitary, indecomposable representations of the Euclidean algebra. Zbl 1188.22013
Douglas, Andrew; de Guise, Hubert
2010
Some residually solvable one-relator groups. Zbl 1230.20031
Bencsáth, Katalin; Douglas, Andrew; Kahrobaei, Delaram
2010
A class of nonunitary, finite dimensional representations of the Euclidean algebra $$\mathfrak e(2)$$. Zbl 1232.17012
Douglas, Andrew; Premat, Alejandra
2007
Finite dimensional representations of the Euclidean algebra $$\mathfrak e$$(2) having two generators. Zbl 1111.17002
Douglas, Andrew
2006
Physically based strain invariant set for materials exhibiting transversely isotropic behavior. Zbl 0980.74012
Criscione, John C.; Douglas, Andrew S.; Hunter, William C.
2001
An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity. Zbl 0983.74012
Criscione, John C.; Humphrey, Jay D.; Douglas, Andrew S.; Hunter, William C.
2000
A physical theory of finite plasticity from a theoretical perspective. Zbl 0712.73033
Sellers, H. S.; Douglas, A. S.
1990
An asymptotic stability condition for inhomogeneous simple shear. Zbl 0678.73039
Chen, H. Tz.; Douglas, A. S.; Malek-Madani, R.
1989
The influence of inertia on elastic-plastic antiplane-shear crack growth. Zbl 0482.73078
Freund, L. B.; Douglas, A. S.
1982
On the Sturm-Liouville equation with two-point boundary conditions. Zbl 0072.33504
Douglas, A. S.
1956
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#### Cited by 125 Authors

 14 Douglas, Andrew S. 11 Repka, Joe 8 Xiao, Heng 6 Szechtman, Fernando 5 Cagliero, Leandro 5 Yin, Zhengnan 4 Belytschko, Ted Bohdan 4 Casati, Paolo 4 Menouillard, Thomas 3 Criscione, John C. 3 Freed, Alan David 3 Neff, Patrizio 3 Salamatova, Victoria Yu. 3 Srinivasa, Arun R. 2 Bavula, Vladimir V. 2 Bremner, Murray R. 2 deBotton, Gal 2 Gokulnath, C. 2 Hunter, William C. 2 Jabareen, Mahmood 2 Jin, Tianfu 2 Lu, Tao 2 Martin, Robert J. 2 Mudunuru, Maruti Kumar 2 Murphy, Jeremiah G. 2 Naghdabadi, Reza 2 Nakshatrala, K. B. 2 Rubin, Miles B. 2 Yu, Lidan 1 Adashev, Jobir Q. 1 Al-Kinani, Raad 1 Alevizos, Sotirios 1 Arghavani, J. 1 Auricchio, Ferdinando 1 Avazmohammadi, Reza 1 Beatty, Millard F. jun. 1 Benito, Pilar 1 Brock, Louis M. 1 Bruhns, Otto Timme 1 Burde, Dietrich 1 Caner, Ferhun 1 Cao, Jie 1 Chagnon, Gregory 1 Chen, Mingxiang 1 Clayton, John D. 1 de Graaf, Willem Adriaan 1 Diani, Julie 1 Ding, Xie-Fei 1 Dodds, Robert H. jun. 1 Drugan, W. J. 1 Duan, Qinglin 1 Eidel, Bernhard 1 Favier, Denis 1 Fried, Eliot 1 Ghiba, Ionel-Dumitrel 1 Giannakopoulos, Antonios E. 1 Gilormini, Pierre 1 Glasby, Stephen Peter 1 Gorb, Yuliya 1 Graban, Kai 1 Gu, Zhi-Xiang 1 Gubarev, Vsevolod Yur’evich 1 Guo, Jianqiao 1 Guo, Zaoyang 1 Gutiérrez Frez, Luis 1 Hariton, I. 1 Hartmann, Stefan 1 Hayes, Michael Alphonsus 1 Horgan, Cornelius Oliver 1 Huang, Junjie 1 Ishikawa, Hideaki 1 Jiang, Song 1 Joseph, Wainright 1 Joseph, Wainwright 1 Kahrobaei, Delaram 1 Krasnov, Kirill V. 1 Kroon, Martin 1 Lankeit, Johannes 1 Levstein, Fernando 1 Limbert, Georges 1 Liu, Dong 1 Liu, Zhanli 1 Madariaga, Sara 1 Marra, S. P. 1 McCulloch, Andrew D. 1 Meyers, Albert Thomas Marie 1 Minniti, Stefania 1 Moran, Brian 1 Netz, Torben 1 Omirov, Bakhrom A. 1 Panyushev, Dmitri Ivanovich 1 Pei, Yufeng 1 Peng, Qi 1 Peng, Xiongqi 1 Percacci, Roberto 1 Previtali, Andrea 1 Rajagopal, Kumbakonam Ramamani 1 Ramesh, K. T. 1 Rebouah, M. 1 Ren, Gexue ...and 25 more Authors
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#### Cited in 35 Serials

 13 Acta Mechanica 13 Journal of the Mechanics and Physics of Solids 6 Journal of Mathematical Physics 6 Journal of Elasticity 5 International Journal of Engineering Science 5 Journal of Algebra 4 Communications in Algebra 3 Linear and Multilinear Algebra 3 International Journal for Numerical Methods in Engineering 3 Mathematics and Mechanics of Solids 3 Algebras and Representation Theory 2 International Journal of Solids and Structures 2 Journal of Pure and Applied Algebra 2 Linear Algebra and its Applications 2 Continuum Mechanics and Thermodynamics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Differential Equations 2 International Journal of Fracture 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 International Journal of Plasticity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Computational and Applied Mathematics 1 Computational Mechanics 1 International Journal of Algebra and Computation 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Russian Mathematics 1 Journal of Mathematical Sciences (New York) 1 European Journal of Mechanics. A. Solids 1 Journal of Algebra and its Applications 1 Acta Mechanica Sinica 1 Nonlinear Analysis. Theory, Methods & Applications 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 19 Fields

 61 Mechanics of deformable solids (74-XX) 29 Nonassociative rings and algebras (17-XX) 5 Biology and other natural sciences (92-XX) 4 Topological groups, Lie groups (22-XX) 3 Group theory and generalizations (20-XX) 3 Numerical analysis (65-XX) 2 Partial differential equations (35-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX)