## Steigmann, David J.

Compute Distance To:
 Author ID: steigmann.david-j Published as: Steigmann, David J.; Steigmann, D. J.; Steigmann, David; Steigmann, D.
 Documents Indexed: 118 Publications since 1983, including 1 Book 5 Contributions as Editor Biographic References: 1 Publication Co-Authors: 66 Co-Authors with 78 Joint Publications 977 Co-Co-Authors
all top 5

### Co-Authors

 42 single-authored 10 Ogden, Raymond William 6 dell’Isola, Francesco 5 Gupta, Anurag P. 5 Nadler, Ben 5 Pipkin, Allen C. 5 Shirani, Milad 4 Agrawal, Ashutosh 4 Taylor, Michael 3 Barham, Matthew I. 3 Haseganu, Eliza M. 3 McElfresh, Mike 3 Papadopoulos, Panayiotis 3 Rudd, Robert E. 2 Atai, Ali Asghar 2 Băeşu, Eveline A. 2 Edmiston, John K. 2 Faulkner, M. Gary 2 Hendrickson, Brett 2 Komvopoulos, Kyriakos 2 Li, Dongqing 2 Stölken, James S. 2 Tait, Robert J. 2 Tartibi, M. 2 Templet, Gary J. 1 Andreaus, Ugo A. 1 Barton, Nathan R. 1 Belak, Jim 1 Bertoldi, Katia 1 Boisse, Philippe 1 Boutin, Claude 1 Bustamante, Roger 1 Dabiri, Y. 1 d’Agostino, Marco Valerio 1 Dai, Hui-Hui 1 Dryburgh, G. 1 Duong, Thang X. 1 Eremeyev, Victor A. 1 Eugster, Simon R. 1 Fosdick, Roger L. 1 Ghiba, Ionel-Dumitrel 1 Giorgio, Ivan 1 Guccione, Julius M. 1 Johnson, G. J. 1 Kaplunov, Julius D. 1 Kim, Chun Il 1 Krishnan, Jyothi 1 Lankeit, Johannes 1 Madeo, Angela 1 Mandadapu, Kranthi K. 1 Martin, Robert J. 1 Merodio, Jose 1 Neff, Patrizio 1 Polignone Warne, Debra 1 Poligone Warne, D. A. 1 Rangamani, Padmini 1 Rizzi, Nicola Luigi 1 Rodal, José J. A. 1 Roxburgh, David G. 1 Sauer, Roger A. 1 Simmonds, James G. 1 Sofonea, Mircea 1 Wang, Fanfan 1 Wang, Jiong 1 Wheeler, Lewis T. 1 White, Daniel A. 1 Witmer, Emmett A.
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### Serials

 18 Mathematics and Mechanics of Solids 13 Journal of Elasticity 7 International Journal of Engineering Science 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Mathematics and Mechanics of Complex Systems 6 IMA Journal of Applied Mathematics 5 Acta Mechanica 5 International Journal of Non-Linear Mechanics 5 Journal of the Mechanics and Physics of Solids 4 International Journal of Solids and Structures 4 Quarterly Journal of Mechanics and Applied Mathematics 4 Computational Mechanics 3 Journal of Applied Mechanics 3 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of Computational Physics 2 Meccanica 2 Continuum Mechanics and Thermodynamics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 CISM International Centre for Mechanical Sciences. Courses and Lectures 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Theoretical and Computational Fluid Dynamics 1 Quarterly of Applied Mathematics 1 Philosophical Transactions of the Royal Society of London. Series A 1 Archive of Applied Mechanics 1 Interfaces and Free Boundaries 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Theoretical and Applied Mechanics 1 Acta Mechanica Sinica 1 Advanced Structured Materials
all top 5

### Fields

 109 Mechanics of deformable solids (74-XX) 11 Fluid mechanics (76-XX) 9 Biology and other natural sciences (92-XX) 8 History and biography (01-XX) 6 General and overarching topics; collections (00-XX) 4 Partial differential equations (35-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Optics, electromagnetic theory (78-XX) 3 Differential geometry (53-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

98 Publications have been cited 1,324 times in 763 Documents Cited by Year
Plane deformations of elastic solids with intrinsic boundary elasticity. Zbl 0938.74014
Steigmann, D. J.; Ogden, R. W.
1997
Elastic surface-substrate interactions. Zbl 0926.74016
Steigmann, D. J.; Ogden, R. W.
1999
Tension-field theory. Zbl 0735.73033
Steigmann, D. J.
1990
A two-dimensional gradient-elasticity theory for woven fabrics. Zbl 1305.74024
dell’Isola, Francesco; Steigmann, David
2015
Mechanical response of fabric sheets to three-dimensional bending, twisting, and stretching. Zbl 1346.74128
Steigmann, David J.; dell’Isola, Francesco
2015
Fluid films with curvature elasticity. Zbl 0982.76012
Steigmann, D. J.
1999
Equilibrium theory for magnetic elastomers and magnetoelastic membranes. Zbl 1348.74116
Steigmann, David J.
2004
On the evolution of plasticity and incompatibility. Zbl 1133.74009
Gupta, Anurag; Steigmann, David J.; Stölken, James S.
2007
Two-dimensional models for the combined bending and stretching of plates and shells based on three-dimensional linear elasticity. Zbl 1213.74209
Steigmann, David J.
2008
Koiter’s shell theory from the perspective of three-dimensional nonlinear elasticity. Zbl 1315.74016
Steigmann, David J.
2013
Linear pantographic sheets: existence and uniqueness of weak solutions. Zbl 1398.74011
Eremeyev, Victor A.; dell’Isola, Francesco; Boutin, Claude; Steigmann, David
2018
Variational theory for spatial rods. Zbl 0801.73039
Steigmann, D. J.; Faulkner, M. G.
1993
Equilibrium of elastic nets. Zbl 0734.73098
Steigmann, D. J.; Pipkin, A. C.
1991
On the variational theory of cell-membrane equilibria. Zbl 1057.35077
Steigmann, David; Baesu, Eveline; Rudd, Robert E.; Belak, Jim; McElfresh, Mike
2003
On the nonlinear mechanics of discrete networks. Zbl 0879.73045
Atai, A. A.; Steigmann, D. J.
1997
Finite plane twist of an annular membrane. Zbl 0785.73041
Li, X.; Steigmann, D. J.
1993
Analysis of partly wrinkled membranes by the method of dynamic relaxation. Zbl 0813.73035
Haseganu, E. M.; Steigmann, D. J.
1994
On the formulation of balance laws for electromagnetic continua. Zbl 1257.74052
Steigmann, David J.
2009
Thin-plate theory for large elastic deformations. Zbl 1200.74098
Steigmann, David J.
2007
Extension of Koiter’s linear shell theory to materials exhibiting arbitrary symmetry. Zbl 1423.74582
Steigmann, David J.
2012
Spatial resolution of wrinkle patterns in thin elastic sheets at finite strain. Zbl 1323.74052
Taylor, Michael; Bertoldi, Katia; Steigmann, David J.
2014
On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells. Zbl 1001.74588
Steigmann, D. J.
1999
Frame-invariant polyconvex strain-energy functions for some anisotropic solids. Zbl 1052.74012
Steigmann, David J.
2003
A two-dimensional peridynamic model for thin plates. Zbl 1330.74111
Taylor, Michael; Steigmann, David J.
2015
Boundary value problems in the theory of lipid membranes. Zbl 1234.74035
Agrawal, Ashutosh; Steigmann, David J.
2009
A stabilized finite element formulation for liquid shells and its application to lipid bilayers. Zbl 1378.74066
Sauer, Roger A.; Duong, Thang X.; Mandadapu, Kranthi K.; Steigmann, David J.
2017
Multiscale constitutive modeling and numerical simulation of fabric material. Zbl 1119.74535
2006
Invariants of the stretch tensors and their application to finite elasticity theory. Zbl 1047.74007
Steigmann, David J.
2002
Equilibrium analysis of finitely deformed elastic networks. Zbl 0851.73011
Haseganu, E. M.; Steigmann, D. J.
1996
The exponentiated Hencky-logarithmic strain energy. II: Coercivity, planar polyconvexity and existence of minimizers. Zbl 1320.74022
Neff, Patrizio; Lankeit, Johannes; Ghiba, Ionel-Dumitrel; Martin, Robert; Steigmann, David
2015
Wrinkling of pressurized membranes. Zbl 0729.73586
Steigmann, D. J.; Pipkin, A. C.
1989
Coupled deformations of elastic curves and surfaces. Zbl 0923.73018
Atai, A. A.; Steigmann, D. J.
1998
Finite deformations of wrinkled membranes. Zbl 0693.73032
Steigmann, D. J.; Pipkin, A. C.
1989
Aspects of the phenomenological theory of elastic-plastic deformation. Zbl 1320.74027
Gupta, A.; Steigmann, D. J.; Stölken, J. S.
2011
Surface waves supported by thin-film/substrate interactions. Zbl 1128.74021
Steigmann, D. J.; Ogden, R. W.
2007
Theoretical flexural response of a pressurized cylindrical membrane. Zbl 0798.73029
Haseganu, E. M.; Steigmann, D. J.
1994
Proof of a conjecture in elastic membrane theory. Zbl 0606.73077
Steigmann, D. J.
1986
Linear theory for the bending and extension of a thin, residually stressed, fiber-reinforced lamina. Zbl 1213.74210
Steigmann, David J.
2009
The variational structure of a nonlinear theory for spatial lattices. Zbl 0868.73090
Steigmann, D. J.
1996
A model for frictional slip in woven fabrics. Zbl 1223.74014
2003
A concise derivation of membrane theory from three-dimensional nonlinear elasticity. Zbl 1255.74042
Steigmann, David J.
2009
Equilibrium of elastic lattice shells. Zbl 1408.74035
Steigmann, D. J.
2018
Puncturing a thin elastic sheet. Zbl 1349.74282
Steigmann, David J.
2005
Equilibrium of prestressed networks. Zbl 0744.73025
Steigmann, D. J.
1992
Cavitation in elastic membranes - an example. Zbl 0777.73031
Steigmann, D. J.
1992
Minimization of shear energy in two dimensional continua with two orthogonal families of inextensible fibers: the case of standard bias extension test. Zbl 1330.74024
dell’Isola, F.; d’Agostino, M. V.; Madeo, A.; Boisse, P.; Steigmann, D.
2016
A necessary condition for energy-minimizing plane deformations of elastic solids with intrinsic boundary elasticity. Zbl 1001.74525
Steigmann, David J.; Ogden, Raymond W.
1997
Plane strain dynamics of elastic solids with intrinsic boundary elasticity, with application to surface wave propagation. Zbl 1062.74021
Ogden, R. W.; Steigmann, D. J.
2002
On isotropic, frame-invariant, polyconvex strain-energy functions. Zbl 1085.74009
Steigmann, David J.
2003
Distension-induced gradient capillarity in lipid membranes. Zbl 1341.76036
Kim, Chun-Il; Steigmann, David J.
2015
Mechanics and electrodynamics of magneto- and electro-elastic materials. Papers based on the presentations at the advanced school, Udine, Italy, June 29 to July 3, 2009. Zbl 1209.74005
2011
Continuum theory for mechanical metamaterials with a cubic lattice substructure. Zbl 1428.74004
Eugster, Simon R.; dell’Isola, Francesco; Steigmann, David J.
2019
Mechanically equivalent elastic-plastic deformations and the problem of plastic spin. Zbl 1299.74030
Steigmann, David J.; Gupta, Anurag
2011
Finite element modeling of the deformation of magnetoelastic film. Zbl 1198.78003
Barham, Matthew I.; White, Daniel A.; Steigmann, David J.
2010
The effect of elastic surface coating on the finite deformation and bifurcation of a pressurized circular annulus. Zbl 0907.73029
Ogden, R. W.; Steigmann, D. J.; Haughton, D. M.
1997
Coexistent fluid-phase equilibria in biomembranes with bending elasticity. Zbl 1159.74380
Agrawal, Ashutosh; Steigmann, David J.
2008
Modeling the indentation, penetration and cavitation of elastic membranes. Zbl 1120.74593
2006
Mechanics of materially uniform thin films. Zbl 1327.74103
Steigmann, David J.
2015
Energy-minimizing states of capillary systems with bulk, surface, and line phases. Zbl 0835.76083
Steigmann, D. J.; Li, Dongqing
1995
Point loads on a hemispherical elastic membrane. Zbl 0835.73031
Li, X.; Steigmann, D. J.
1995
Finite deformation of a pressurized toroidal membrane. Zbl 0836.73035
Li, X.; Steigmann, D. J.
1995
Finite deformation of a pressurized magnetoelastic membrane in a stationary dipole field. Zbl 1140.74441
Barham, M.; Steigmann, D. J.; Mcelfresh, M.; Rudd, R. E.
2007
Azimuthal shearing and transverse deflection of an annular elastic membrane. Zbl 0899.73215
Roxburgh, D. G.; Steigmann, D. J.; Tait, R. J.
1995
Asymptotic finite-strain thin-plate theory for elastic solids. Zbl 1129.74026
Steigmann, David J.
2007
A polyconvex formulation of isotropic elastoplasticity theory. Zbl 1305.74026
Krishnan, Jyothi; Steigmann, David J.
2014
Stability of harmonic materials in plane strain. Zbl 0696.73028
Steigmann, D. J.; Pipkin, A. C.
1988
A model for surface diffusion of trans-membrane proteins on lipid bilayers. Zbl 1325.92024
Agrawal, Ashutosh; Steigmann, David J.
2011
Finite elasticity theory. Zbl 1369.74002
Steigmann, David
2017
Classical plate buckling theory as the small-thickness limit of three-dimensional incremental elasticity. Zbl 1432.74073
Steigmann, David J.; Ogden, Ray W.
2014
Plastic flow in solids with interfaces. Zbl 1423.74170
Gupta, Anurag; Steigmann, David J.
2012
Entropic thermoelasticity of thin polymeric films. Zbl 1158.74423
Taylor, M.; Steigmann, D. J.
2006
Convexity of the strain-energy function in a two-scale model of ideal fabrics. Zbl 1098.74046
2006
Finite elastic wrinkling deformations of incompressible fiber-reinforced plates. Zbl 1476.74100
Taylor, M.; Shirani, M.; Dabiri, Y.; Guccione, J. M.; Steigmann, D. J.
2019
Elements of the theory of elastic surfaces. Zbl 0993.74039
Steigmann, David J.
2001
On the frame invariance of linear elasticity theory. Zbl 1106.74013
Steigmann, David J.
2007
Electromechanics of polarized lipid bilayers. Zbl 1333.74067
Steigmann, David; Agrawal, Ashutosh
2016
A note on residual stress, lattice orientation and dislocation density in crystalline solids. Zbl 1253.74016
Steigmann, David J.; Ogden, Ray W.
2012
Irreducible function bases for simple fluids and liquid crystal films. Zbl 1024.76005
Steigmann, David J.
2003
Remarks on a theory of elasticity for fluid films. Zbl 0827.76007
Steigmann, D. J.; Li, Dongqing
1995
Axisymmetric tension fields. Zbl 0724.73076
Steigmann, D. J.; Pipkin, A. C.
1989
Elastic waves interacting with a thin, prestressed, fiber-reinforced surface film. Zbl 1231.74189
Steigmann, David J.
2010
A simple model of the Treloar-Kearsley instability. Zbl 1133.74017
Steigmann, David J.
2007
The effect of elastic surface coating on the bending of an incompressible elastic block. Zbl 0925.73103
Ogden, R. W.; Dryburgh, G.; Steigmann, D. J.
1998
A primer on plasticity. Zbl 1444.74011
Steigmann, David J.
2020
On the theory of diffusion and swelling in finitely deforming elastomers. Zbl 1381.74185
Templet, Gary J.; Steigmann, David J.
2013
An analysis of Professor J.F. Bell’s research on the finite twist and extension of thin-walled polycrystalline cylindrical tubes. Zbl 1062.74513
Steigmann, David J.
2003
Controllable deformations of elastic spatial rods. Zbl 0783.73034
Faulkner, M. G.; Steigmann, D. J.
1993
On pseudo-rigid bodies. Zbl 1149.74304
Steigmann, David J.
2006
A well-posed finite-strain model for thin elastic sheets with bending stiffness. Zbl 07280032
Steigmann, David J.
2013
A model for elastic-viscoplastic deformations of crystalline solids based on material symmetry: theory and plane-strain simulations. Zbl 1423.74168
Edmiston, J.; Steigmann, D. J.; Johnson, G. J.; Barton, N.
2013
A two-dimensional continuum model of pantographic sheets moving in a 3D space and accounting for the offset and relative rotations of the fibers. Zbl 1446.74080
Giorgio, Ivan; Rizzi, Nicola L.; Andreaus, Ugo; Steigmann, David J.
2019
Plane strain problem in elastically rigid finite plasticity. Zbl 1297.74024
Gupta, A.; Steigmann, D. J.
2014
A reverse updated Lagrangian finite element formulation for determining material properties from measured force and displacement data. Zbl 1309.74072
Tartibi, M.; Steigmann, D. J.; Komvopoulos, K.
2014
Uniqueness of the displacement field in classical linear elastostatics. Zbl 1034.74024
Steigmann, David J.; Wheeler, Lewis T.
2003
Analysis of nonlinear electrostatic membranes. Zbl 1430.74045
Edmiston, John; Steigmann, David
2011
Variable tilt on lipid membranes. Zbl 1371.92024
Rangamani, P.; Steigmann, D. J.
2014
Analysis of a theory of elasticity for masonry solids. Zbl 0734.73030
Steigmann, D. J.
1991
On a consistent finite-strain plate theory of growth. Zbl 1441.74109
Wang, Jiong; Steigmann, David; Wang, Fan-Fan; Dai, Hui-Hui
2018
A primer on plasticity. Zbl 1444.74011
Steigmann, David J.
2020
Continuum theory for mechanical metamaterials with a cubic lattice substructure. Zbl 1428.74004
Eugster, Simon R.; dell&rsquo;Isola, Francesco; Steigmann, David J.
2019
Finite elastic wrinkling deformations of incompressible fiber-reinforced plates. Zbl 1476.74100
Taylor, M.; Shirani, M.; Dabiri, Y.; Guccione, J. M.; Steigmann, D. J.
2019
A two-dimensional continuum model of pantographic sheets moving in a 3D space and accounting for the offset and relative rotations of the fibers. Zbl 1446.74080
Giorgio, Ivan; Rizzi, Nicola L.; Andreaus, Ugo; Steigmann, David J.
2019
Linear pantographic sheets: existence and uniqueness of weak solutions. Zbl 1398.74011
Eremeyev, Victor A.; dell&rsquo;Isola, Francesco; Boutin, Claude; Steigmann, David
2018
Equilibrium of elastic lattice shells. Zbl 1408.74035
Steigmann, D. J.
2018
On a consistent finite-strain plate theory of growth. Zbl 1441.74109
Wang, Jiong; Steigmann, David; Wang, Fan-Fan; Dai, Hui-Hui
2018
A stabilized finite element formulation for liquid shells and its application to lipid bilayers. Zbl 1378.74066
Sauer, Roger A.; Duong, Thang X.; Mandadapu, Kranthi K.; Steigmann, David J.
2017
Finite elasticity theory. Zbl 1369.74002
Steigmann, David
2017
Minimization of shear energy in two dimensional continua with two orthogonal families of inextensible fibers: the case of standard bias extension test. Zbl 1330.74024
dell&rsquo;Isola, F.; d&rsquo;Agostino, M. V.; Madeo, A.; Boisse, P.; Steigmann, D.
2016
Electromechanics of polarized lipid bilayers. Zbl 1333.74067
Steigmann, David; Agrawal, Ashutosh
2016
A two-dimensional gradient-elasticity theory for woven fabrics. Zbl 1305.74024
dell&rsquo;Isola, Francesco; Steigmann, David
2015
Mechanical response of fabric sheets to three-dimensional bending, twisting, and stretching. Zbl 1346.74128
Steigmann, David J.; dell&rsquo;Isola, Francesco
2015
A two-dimensional peridynamic model for thin plates. Zbl 1330.74111
Taylor, Michael; Steigmann, David J.
2015
The exponentiated Hencky-logarithmic strain energy. II: Coercivity, planar polyconvexity and existence of minimizers. Zbl 1320.74022
Neff, Patrizio; Lankeit, Johannes; Ghiba, Ionel-Dumitrel; Martin, Robert; Steigmann, David
2015
Distension-induced gradient capillarity in lipid membranes. Zbl 1341.76036
Kim, Chun-Il; Steigmann, David J.
2015
Mechanics of materially uniform thin films. Zbl 1327.74103
Steigmann, David J.
2015
Spatial resolution of wrinkle patterns in thin elastic sheets at finite strain. Zbl 1323.74052
Taylor, Michael; Bertoldi, Katia; Steigmann, David J.
2014
A polyconvex formulation of isotropic elastoplasticity theory. Zbl 1305.74026
Krishnan, Jyothi; Steigmann, David J.
2014
Classical plate buckling theory as the small-thickness limit of three-dimensional incremental elasticity. Zbl 1432.74073
Steigmann, David J.; Ogden, Ray W.
2014
Plane strain problem in elastically rigid finite plasticity. Zbl 1297.74024
Gupta, A.; Steigmann, D. J.
2014
A reverse updated Lagrangian finite element formulation for determining material properties from measured force and displacement data. Zbl 1309.74072
Tartibi, M.; Steigmann, D. J.; Komvopoulos, K.
2014
Variable tilt on lipid membranes. Zbl 1371.92024
Rangamani, P.; Steigmann, D. J.
2014
Koiter’s shell theory from the perspective of three-dimensional nonlinear elasticity. Zbl 1315.74016
Steigmann, David J.
2013
On the theory of diffusion and swelling in finitely deforming elastomers. Zbl 1381.74185
Templet, Gary J.; Steigmann, David J.
2013
A well-posed finite-strain model for thin elastic sheets with bending stiffness. Zbl 07280032
Steigmann, David J.
2013
A model for elastic-viscoplastic deformations of crystalline solids based on material symmetry: theory and plane-strain simulations. Zbl 1423.74168
Edmiston, J.; Steigmann, D. J.; Johnson, G. J.; Barton, N.
2013
Extension of Koiter’s linear shell theory to materials exhibiting arbitrary symmetry. Zbl 1423.74582
Steigmann, David J.
2012
Plastic flow in solids with interfaces. Zbl 1423.74170
Gupta, Anurag; Steigmann, David J.
2012
A note on residual stress, lattice orientation and dislocation density in crystalline solids. Zbl 1253.74016
Steigmann, David J.; Ogden, Ray W.
2012
Aspects of the phenomenological theory of elastic-plastic deformation. Zbl 1320.74027
Gupta, A.; Steigmann, D. J.; Stölken, J. S.
2011
Mechanics and electrodynamics of magneto- and electro-elastic materials. Papers based on the presentations at the advanced school, Udine, Italy, June 29 to July 3, 2009. Zbl 1209.74005
2011
Mechanically equivalent elastic-plastic deformations and the problem of plastic spin. Zbl 1299.74030
Steigmann, David J.; Gupta, Anurag
2011
A model for surface diffusion of trans-membrane proteins on lipid bilayers. Zbl 1325.92024
Agrawal, Ashutosh; Steigmann, David J.
2011
Analysis of nonlinear electrostatic membranes. Zbl 1430.74045
Edmiston, John; Steigmann, David
2011
Finite element modeling of the deformation of magnetoelastic film. Zbl 1198.78003
Barham, Matthew I.; White, Daniel A.; Steigmann, David J.
2010
Elastic waves interacting with a thin, prestressed, fiber-reinforced surface film. Zbl 1231.74189
Steigmann, David J.
2010
On the formulation of balance laws for electromagnetic continua. Zbl 1257.74052
Steigmann, David J.
2009
Boundary value problems in the theory of lipid membranes. Zbl 1234.74035
Agrawal, Ashutosh; Steigmann, David J.
2009
Linear theory for the bending and extension of a thin, residually stressed, fiber-reinforced lamina. Zbl 1213.74210
Steigmann, David J.
2009
A concise derivation of membrane theory from three-dimensional nonlinear elasticity. Zbl 1255.74042
Steigmann, David J.
2009
Two-dimensional models for the combined bending and stretching of plates and shells based on three-dimensional linear elasticity. Zbl 1213.74209
Steigmann, David J.
2008
Coexistent fluid-phase equilibria in biomembranes with bending elasticity. Zbl 1159.74380
Agrawal, Ashutosh; Steigmann, David J.
2008
On the evolution of plasticity and incompatibility. Zbl 1133.74009
Gupta, Anurag; Steigmann, David J.; Stölken, James S.
2007
Thin-plate theory for large elastic deformations. Zbl 1200.74098
Steigmann, David J.
2007
Surface waves supported by thin-film/substrate interactions. Zbl 1128.74021
Steigmann, D. J.; Ogden, R. W.
2007
Finite deformation of a pressurized magnetoelastic membrane in a stationary dipole field. Zbl 1140.74441
Barham, M.; Steigmann, D. J.; Mcelfresh, M.; Rudd, R. E.
2007
Asymptotic finite-strain thin-plate theory for elastic solids. Zbl 1129.74026
Steigmann, David J.
2007
On the frame invariance of linear elasticity theory. Zbl 1106.74013
Steigmann, David J.
2007
A simple model of the Treloar-Kearsley instability. Zbl 1133.74017
Steigmann, David J.
2007
Multiscale constitutive modeling and numerical simulation of fabric material. Zbl 1119.74535
2006
Modeling the indentation, penetration and cavitation of elastic membranes. Zbl 1120.74593
2006
Entropic thermoelasticity of thin polymeric films. Zbl 1158.74423
Taylor, M.; Steigmann, D. J.
2006
Convexity of the strain-energy function in a two-scale model of ideal fabrics. Zbl 1098.74046
2006
On pseudo-rigid bodies. Zbl 1149.74304
Steigmann, David J.
2006
Puncturing a thin elastic sheet. Zbl 1349.74282
Steigmann, David J.
2005
Equilibrium theory for magnetic elastomers and magnetoelastic membranes. Zbl 1348.74116
Steigmann, David J.
2004
On the variational theory of cell-membrane equilibria. Zbl 1057.35077
Steigmann, David; Baesu, Eveline; Rudd, Robert E.; Belak, Jim; McElfresh, Mike
2003
Frame-invariant polyconvex strain-energy functions for some anisotropic solids. Zbl 1052.74012
Steigmann, David J.
2003
A model for frictional slip in woven fabrics. Zbl 1223.74014
2003
On isotropic, frame-invariant, polyconvex strain-energy functions. Zbl 1085.74009
Steigmann, David J.
2003
Irreducible function bases for simple fluids and liquid crystal films. Zbl 1024.76005
Steigmann, David J.
2003
An analysis of Professor J.F. Bell’s research on the finite twist and extension of thin-walled polycrystalline cylindrical tubes. Zbl 1062.74513
Steigmann, David J.
2003
Uniqueness of the displacement field in classical linear elastostatics. Zbl 1034.74024
Steigmann, David J.; Wheeler, Lewis T.
2003
Invariants of the stretch tensors and their application to finite elasticity theory. Zbl 1047.74007
Steigmann, David J.
2002
Plane strain dynamics of elastic solids with intrinsic boundary elasticity, with application to surface wave propagation. Zbl 1062.74021
Ogden, R. W.; Steigmann, D. J.
2002
Elements of the theory of elastic surfaces. Zbl 0993.74039
Steigmann, David J.
2001
Elastic surface-substrate interactions. Zbl 0926.74016
Steigmann, D. J.; Ogden, R. W.
1999
Fluid films with curvature elasticity. Zbl 0982.76012
Steigmann, D. J.
1999
On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells. Zbl 1001.74588
Steigmann, D. J.
1999
Coupled deformations of elastic curves and surfaces. Zbl 0923.73018
Atai, A. A.; Steigmann, D. J.
1998
The effect of elastic surface coating on the bending of an incompressible elastic block. Zbl 0925.73103
Ogden, R. W.; Dryburgh, G.; Steigmann, D. J.
1998
Plane deformations of elastic solids with intrinsic boundary elasticity. Zbl 0938.74014
Steigmann, D. J.; Ogden, R. W.
1997
On the nonlinear mechanics of discrete networks. Zbl 0879.73045
Atai, A. A.; Steigmann, D. J.
1997
A necessary condition for energy-minimizing plane deformations of elastic solids with intrinsic boundary elasticity. Zbl 1001.74525
Steigmann, David J.; Ogden, Raymond W.
1997
The effect of elastic surface coating on the finite deformation and bifurcation of a pressurized circular annulus. Zbl 0907.73029
Ogden, R. W.; Steigmann, D. J.; Haughton, D. M.
1997
Equilibrium analysis of finitely deformed elastic networks. Zbl 0851.73011
Haseganu, E. M.; Steigmann, D. J.
1996
The variational structure of a nonlinear theory for spatial lattices. Zbl 0868.73090
Steigmann, D. J.
1996
Energy-minimizing states of capillary systems with bulk, surface, and line phases. Zbl 0835.76083
Steigmann, D. J.; Li, Dongqing
1995
Point loads on a hemispherical elastic membrane. Zbl 0835.73031
Li, X.; Steigmann, D. J.
1995
Finite deformation of a pressurized toroidal membrane. Zbl 0836.73035
Li, X.; Steigmann, D. J.
1995
Azimuthal shearing and transverse deflection of an annular elastic membrane. Zbl 0899.73215
Roxburgh, D. G.; Steigmann, D. J.; Tait, R. J.
1995
Remarks on a theory of elasticity for fluid films. Zbl 0827.76007
Steigmann, D. J.; Li, Dongqing
1995
Analysis of partly wrinkled membranes by the method of dynamic relaxation. Zbl 0813.73035
Haseganu, E. M.; Steigmann, D. J.
1994
Theoretical flexural response of a pressurized cylindrical membrane. Zbl 0798.73029
Haseganu, E. M.; Steigmann, D. J.
1994
Variational theory for spatial rods. Zbl 0801.73039
Steigmann, D. J.; Faulkner, M. G.
1993
Finite plane twist of an annular membrane. Zbl 0785.73041
Li, X.; Steigmann, D. J.
1993
Controllable deformations of elastic spatial rods. Zbl 0783.73034
Faulkner, M. G.; Steigmann, D. J.
1993
Equilibrium of prestressed networks. Zbl 0744.73025
Steigmann, D. J.
1992
Cavitation in elastic membranes - an example. Zbl 0777.73031
Steigmann, D. J.
1992
Equilibrium of elastic nets. Zbl 0734.73098
Steigmann, D. J.; Pipkin, A. C.
1991
Analysis of a theory of elasticity for masonry solids. Zbl 0734.73030
Steigmann, D. J.
1991
Tension-field theory. Zbl 0735.73033
Steigmann, D. J.
1990
Wrinkling of pressurized membranes. Zbl 0729.73586
Steigmann, D. J.; Pipkin, A. C.
1989
Finite deformations of wrinkled membranes. Zbl 0693.73032
Steigmann, D. J.; Pipkin, A. C.
1989
Axisymmetric tension fields. Zbl 0724.73076
Steigmann, D. J.; Pipkin, A. C.
1989
Stability of harmonic materials in plane strain. Zbl 0696.73028
Steigmann, D. J.; Pipkin, A. C.
1988
Proof of a conjecture in elastic membrane theory. Zbl 0606.73077
Steigmann, D. J.
1986
all top 5

### Cited by 893 Authors

 52 Steigmann, David J. 30 Neff, Patrizio 26 Schiavone, Peter 24 dell’Isola, Francesco 22 Eremeyev, Victor A. 22 Placidi, Luca 22 Steinmann, Paul 19 Javili, Ali 18 Barchiesi, Emilio 18 Giorgio, Ivan 16 Ogden, Raymond William 14 Bustamante, Roger 14 Wang, Xu 13 Kim, Chun Il 12 Pruchnicki, Erick 12 Sauer, Roger A. 12 Turco, Emilio 11 Bîrsan, Mircea 11 Della Corte, Alessandro 11 Ghiba, Ionel-Dumitrel 10 Martin, Robert J. 9 Mi, Changwen 9 Rizzi, Nicola Luigi 8 Goriely, Alain 8 Zohdi, Tarek I. 7 Coman, Ciprian D. 7 Greco, Leopoldo 7 Gupta, Anurag P. 7 Lurie, Sergey A. 7 Madeo, Angela 7 Nadler, Ben 7 Rosi, Giuseppe A. 6 Andreaus, Ugo A. 6 Dai, Hui-Hui 6 Duong, Thang X. 6 Rabczuk, Timon 6 Ru, Chong-Qing 6 Solyaev, Yury O. 5 Agrawal, Ashutosh 5 Battista, Antonio 5 Cuomo, Massimo 5 Eugster, Simon R. 5 Fried, Eliot 5 Gharahi, Alireza 5 Lazopoulos, Konstantinos A. 5 Lubarda, Vlado A. 5 Mandadapu, Kranthi K. 5 McBride, Andrew T. 5 Merodio, Jose 5 Mogilevskaya, Sofia G. 5 Murphy, Jeremiah G. 5 Vinh, Pham Chi 5 Yavari, Arash 5 Zemlyanova, Anna Y. 4 Alibert, Jean-Jacques 4 Altenbach, Holm 4 Bassom, Andrew P. 4 Ben Amar, Martine 4 Bigoni, Davide 4 Chatzigeorgiou, George 4 Cleja-Țigoiu, Sanda 4 deBotton, Gal 4 Federico, Salvatore 4 Fu, Chenbo 4 Gei, Massimiliano 4 Haldar, Krishnendu 4 Holzapfel, Gerhard Alfred 4 Horgan, Cornelius Oliver 4 Li, Xiaobao 4 Liu, Liping 4 Misra, Anil 4 Mosler, Jörn 4 Nedjar, Boumediene 4 Oterkus, Erkan 4 Oterkus, Selda 4 Rajagopal, Kumbakonam Ramamani 4 Spagnuolo, Mario 4 Wang, Jiong 4 Wineman, Alan S. 3 Abali, Bilen Emek 3 Audoly, Basile 3 Barham, Matthew I. 3 Belay, Tsegay 3 Benveniste, Yakov 3 Boisse, Philippe 3 Ciarletta, Pasquale 3 Dasgupta, Anirvan 3 Dervaux, Julien 3 Dharmavaram, Sanjay 3 Gao, David Yang 3 Grabmüller, Hans 3 Healey, Timothy J. 3 Huang, Zaixing 3 Huang, Zhuping 3 Kanno, Yoshihiro 3 Kienzler, Reinhold 3 Lagoudas, Dimitris C. 3 Lebedev, Leonid Petrovich 3 Lekszycki, Tomasz 3 Lewintan, Peter ...and 793 more Authors
all top 5

### Cited in 81 Serials

 136 Mathematics and Mechanics of Solids 66 Journal of Elasticity 59 International Journal of Engineering Science 56 ZAMP. Zeitschrift für angewandte Mathematik und Physik 55 Journal of the Mechanics and Physics of Solids 48 Acta Mechanica 47 Computer Methods in Applied Mechanics and Engineering 35 Continuum Mechanics and Thermodynamics 27 European Journal of Mechanics. A. Solids 22 Computational Mechanics 14 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 12 Journal of Computational Physics 12 Journal of Engineering Mathematics 10 International Journal of Solids and Structures 9 International Journal for Numerical Methods in Engineering 7 Archive for Rational Mechanics and Analysis 7 Archive of Applied Mechanics 7 Mathematics and Mechanics of Complex Systems 6 Applied Mathematical Modelling 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Journal of Fluid Mechanics 5 Wave Motion 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Computers & Mathematics with Applications 4 Meccanica 4 Mechanics Research Communications 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Applied Mathematics and Mechanics. (English Edition) 3 SIAM Journal on Applied Mathematics 3 Journal of Nonlinear Science 3 International Journal of Fracture 3 Acta Mechanica Sinica 2 Applied Mathematics and Computation 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Numerical Methods in Engineering 2 Mathematical Problems in Engineering 2 Lobachevskii Journal of Mathematics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal of Plasticity 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Acta Applicandae Mathematicae 1 Computer Aided Geometric Design 1 Optimization 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Advances in Engineering Software 1 Physics of Fluids 1 Engineering Analysis with Boundary Elements 1 Journal of Inequalities and Applications 1 Journal of Applied Mechanics and Technical Physics 1 Communications in Nonlinear Science and Numerical Simulation 1 Optimization and Engineering 1 International Journal of Modern Physics C 1 Discrete and Continuous Dynamical Systems. Series B 1 Theoretical and Applied Mechanics 1 Analysis and Applications (Singapore) 1 International Journal of Computational Methods 1 GAMM-Mitteilungen 1 Optimization Letters 1 Computational & Mathematical Methods in Medicine 1 International Journal of Differential Equations 1 Science China. Technological Sciences 1 Acta Crystallographica. Section A 1 International Journal of Structural Stability and Dynamics 1 Journal of Theoretical Biology 1 AMM. Applied Mathematics and Mechanics. (English Edition)
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### Cited in 35 Fields

 725 Mechanics of deformable solids (74-XX) 52 Biology and other natural sciences (92-XX) 47 Fluid mechanics (76-XX) 44 Partial differential equations (35-XX) 34 Numerical analysis (65-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Differential geometry (53-XX) 15 Integral equations (45-XX) 11 Optics, electromagnetic theory (78-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Mechanics of particles and systems (70-XX) 9 Classical thermodynamics, heat transfer (80-XX) 5 Operations research, mathematical programming (90-XX) 4 Functions of a complex variable (30-XX) 4 Ordinary differential equations (34-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX)