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Steigmann, David J.

Author ID: steigmann.david-j Recent zbMATH articles by "Steigmann, David J."
Published as: Steigmann, David J.; Steigmann, D. J.; Steigmann, David; Steigmann, D.
Documents Indexed: 126 Publications since 1983, including 3 Books
5 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 68 Co-Authors with 87 Joint Publications
1,117 Co-Co-Authors
all top 5

Serials

19 Mathematics and Mechanics of Solids
15 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
5 Quarterly Journal of Mechanics and Applied Mathematics
4 International Journal of Solids and Structures
4 Computational Mechanics
3 Journal of Applied Mechanics
3 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
3 Continuum Mechanics and Thermodynamics
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Journal of Computational Physics
2 Meccanica
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 Solid Mechanics and Its Applications
1 Acta Mechanica Sinica
1 Advanced Structured Materials
1 Oxford Series on Materials Modelling

Publications by Year

Citations contained in zbMATH Open

106 Publications have been cited 1,657 times in 935 Documents Cited by Year
Plane deformations of elastic solids with intrinsic boundary elasticity. Zbl 0938.74014
Steigmann, D. J.; Ogden, R. W.
201
1997
Elastic surface-substrate interactions. Zbl 0926.74016
Steigmann, D. J.; Ogden, R. W.
153
1999
A two-dimensional gradient-elasticity theory for woven fabrics. Zbl 1305.74024
dell’Isola, Francesco; Steigmann, David
65
2015
Tension-field theory. Zbl 0735.73033
Steigmann, D. J.
55
1990
Mechanical response of fabric sheets to three-dimensional bending, twisting, and stretching. Zbl 1346.74128
Steigmann, David J.; dell’Isola, Francesco
54
2015
Linear pantographic sheets: existence and uniqueness of weak solutions. Zbl 1398.74011
Eremeyev, Victor A.; dell’Isola, Francesco; Boutin, Claude; Steigmann, David
45
2018
Fluid films with curvature elasticity. Zbl 0982.76012
Steigmann, D. J.
44
1999
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.
36
2008
Equilibrium theory for magnetic elastomers and magnetoelastic membranes. Zbl 1348.74116
Steigmann, David J.
35
2004
Koiter’s shell theory from the perspective of three-dimensional nonlinear elasticity. Zbl 1315.74016
Steigmann, David J.
34
2013
On the evolution of plasticity and incompatibility. Zbl 1133.74009
Gupta, Anurag; Steigmann, David J.; Stölken, James S.
31
2007
Equilibrium of elastic nets. Zbl 0734.73098
Steigmann, D. J.; Pipkin, A. C.
30
1991
Variational theory for spatial rods. Zbl 0801.73039
Steigmann, D. J.; Faulkner, M. G.
29
1993
Continuum theory for mechanical metamaterials with a cubic lattice substructure. Zbl 1428.74004
Eugster, Simon R.; dell’Isola, Francesco; Steigmann, David J.
29
2019
On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells. Zbl 1001.74588
Steigmann, D. J.
25
1999
On the variational theory of cell-membrane equilibria. Zbl 1057.35077
Steigmann, David; Baesu, Eveline; Rudd, Robert E.; Belak, Jim; McElfresh, Mike
24
2003
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.
24
2017
Thin-plate theory for large elastic deformations. Zbl 1200.74098
Steigmann, David J.
23
2007
On the formulation of balance laws for electromagnetic continua. Zbl 1257.74052
Steigmann, David J.
23
2009
Frame-invariant polyconvex strain-energy functions for some anisotropic solids. Zbl 1052.74012
Steigmann, David J.
22
2003
Analysis of partly wrinkled membranes by the method of dynamic relaxation. Zbl 0813.73035
Haseganu, E. M.; Steigmann, D. J.
22
1994
Finite plane twist of an annular membrane. Zbl 0785.73041
Li, X.; Steigmann, D. J.
22
1993
On the nonlinear mechanics of discrete networks. Zbl 0879.73045
Atai, A. A.; Steigmann, D. J.
21
1997
Spatial resolution of wrinkle patterns in thin elastic sheets at finite strain. Zbl 1323.74052
Taylor, Michael; Bertoldi, Katia; Steigmann, David J.
21
2014
A two-dimensional peridynamic model for thin plates. Zbl 1330.74111
Taylor, Michael; Steigmann, David J.
21
2015
Extension of Koiter’s linear shell theory to materials exhibiting arbitrary symmetry. Zbl 1423.74582
Steigmann, David J.
21
2012
Boundary value problems in the theory of lipid membranes. Zbl 1234.74035
Agrawal, Ashutosh; Steigmann, David J.
20
2009
Multiscale constitutive modeling and numerical simulation of fabric material. Zbl 1119.74535
Nadler, Ben; Papadopoulos, Panayiotis; Steigmann, David J.
16
2006
Invariants of the stretch tensors and their application to finite elasticity theory. Zbl 1047.74007
Steigmann, David J.
16
2002
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
16
2015
Equilibrium analysis of finitely deformed elastic networks. Zbl 0851.73011
Haseganu, E. M.; Steigmann, D. J.
15
1996
Wrinkling of pressurized membranes. Zbl 0729.73586
Steigmann, D. J.; Pipkin, A. C.
14
1989
The variational structure of a nonlinear theory for spatial lattices. Zbl 0868.73090
Steigmann, D. J.
14
1996
Surface waves supported by thin-film/substrate interactions. Zbl 1128.74021
Steigmann, D. J.; Ogden, R. W.
14
2007
Coupled deformations of elastic curves and surfaces. Zbl 0923.73018
Atai, A. A.; Steigmann, D. J.
13
1998
Finite deformations of wrinkled membranes. Zbl 0693.73032
Steigmann, D. J.; Pipkin, A. C.
13
1989
Theoretical flexural response of a pressurized cylindrical membrane. Zbl 0798.73029
Haseganu, E. M.; Steigmann, D. J.
13
1994
Aspects of the phenomenological theory of elastic-plastic deformation. Zbl 1320.74027
Gupta, A.; Steigmann, D. J.; Stölken, J. S.
13
2011
A model for frictional slip in woven fabrics. Zbl 1223.74014
Nadler, Ben; Steigmann, David J.
12
2003
A concise derivation of membrane theory from three-dimensional nonlinear elasticity. Zbl 1255.74042
Steigmann, David J.
12
2009
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.
12
2016
Equilibrium of elastic lattice shells. Zbl 1408.74035
Steigmann, D. J.
12
2018
Proof of a conjecture in elastic membrane theory. Zbl 0606.73077
Steigmann, D. J.
11
1986
Linear theory for the bending and extension of a thin, residually stressed, fiber-reinforced lamina. Zbl 1213.74210
Steigmann, David J.
11
2009
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
10
2011
Coexistent fluid-phase equilibria in biomembranes with bending elasticity. Zbl 1159.74380
Agrawal, Ashutosh; Steigmann, David J.
10
2008
Finite elasticity theory. Zbl 1369.74002
Steigmann, David
9
2017
A necessary condition for energy-minimizing plane deformations of elastic solids with intrinsic boundary elasticity. Zbl 1001.74525
Steigmann, David J.; Ogden, Raymond W.
9
1997
On isotropic, frame-invariant, polyconvex strain-energy functions. Zbl 1085.74009
Steigmann, David J.
9
2003
Distension-induced gradient capillarity in lipid membranes. Zbl 1341.76036
Kim, Chun-Il; Steigmann, David J.
9
2015
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.
9
2002
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.
9
2019
Puncturing a thin elastic sheet. Zbl 1349.74282
Steigmann, David J.
8
2005
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.
8
2007
Asymptotic finite-strain thin-plate theory for elastic solids. Zbl 1129.74026
Steigmann, David J.
8
2007
Finite deformation of a pressurized toroidal membrane. Zbl 0836.73035
Li, X.; Steigmann, D. J.
8
1995
Equilibrium of prestressed networks. Zbl 0744.73025
Steigmann, D. J.
8
1992
Cavitation in elastic membranes - an example. Zbl 0777.73031
Steigmann, D. J.
8
1992
Mechanics of materially uniform thin films. Zbl 1327.74103
Steigmann, David J.
8
2015
Mechanically equivalent elastic-plastic deformations and the problem of plastic spin. Zbl 1299.74030
Steigmann, David J.; Gupta, Anurag
8
2011
Classical plate buckling theory as the small-thickness limit of three-dimensional incremental elasticity. Zbl 1432.74073
Steigmann, David J.; Ogden, Ray W.
8
2014
Energy-minimizing states of capillary systems with bulk, surface, and line phases. Zbl 0835.76083
Steigmann, D. J.; Li, Dongqing
7
1995
Modeling the indentation, penetration and cavitation of elastic membranes. Zbl 1120.74593
Nadler, Ben; Steigmann, David J.
7
2006
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.
7
1997
A polyconvex formulation of isotropic elastoplasticity theory. Zbl 1305.74026
Krishnan, Jyothi; Steigmann, David J.
7
2014
Finite element modeling of the deformation of magnetoelastic film. Zbl 1198.78003
Barham, Matthew I.; White, Daniel A.; Steigmann, David J.
7
2010
A model for surface diffusion of trans-membrane proteins on lipid bilayers. Zbl 1325.92024
Agrawal, Ashutosh; Steigmann, David J.
7
2011
Azimuthal shearing and transverse deflection of an annular elastic membrane. Zbl 0899.73215
Roxburgh, D. G.; Steigmann, D. J.; Tait, R. J.
6
1995
Point loads on a hemispherical elastic membrane. Zbl 0835.73031
Li, X.; Steigmann, D. J.
6
1995
A well-posed finite-strain model for thin elastic sheets with bending stiffness. Zbl 1528.74013
Steigmann, David J.
6
2013
Stability of harmonic materials in plane strain. Zbl 0696.73028
Steigmann, D. J.; Pipkin, A. C.
5
1988
A primer on plasticity. Zbl 1444.74011
Steigmann, David J.
5
2020
A simple model of the Treloar-Kearsley instability. Zbl 1133.74017
Steigmann, David J.
4
2007
Elastic waves interacting with a thin, prestressed, fiber-reinforced surface film. Zbl 1231.74189
Steigmann, David J.
4
2010
Entropic thermoelasticity of thin polymeric films. Zbl 1158.74423
Taylor, M.; Steigmann, D. J.
4
2006
Convexity of the strain-energy function in a two-scale model of ideal fabrics. Zbl 1098.74046
Nadler, B.; Papadopoulos, P.; Steigmann, D. J.
4
2006
Irreducible function bases for simple fluids and liquid crystal films. Zbl 1024.76005
Steigmann, David J.
4
2003
Plastic flow in solids with interfaces. Zbl 1423.74170
Gupta, Anurag; Steigmann, David J.
4
2012
Finite elastic wrinkling deformations of incompressible fiber-reinforced plates. Zbl 1476.74100
Taylor, M.; Shirani, M.; Dabiri, Y.; Guccione, J. M.; Steigmann, D. J.
4
2019
On the frame invariance of linear elasticity theory. Zbl 1106.74013
Steigmann, David J.
3
2007
Remarks on a theory of elasticity for fluid films. Zbl 0827.76007
Steigmann, D. J.; Li, Dongqing
3
1995
Elements of the theory of elastic surfaces. Zbl 0993.74039
Steigmann, David J.
3
2001
Axisymmetric tension fields. Zbl 0724.73076
Steigmann, D. J.; Pipkin, A. C.
3
1989
Variable tilt on lipid membranes. Zbl 1371.92024
Rangamani, P.; Steigmann, D. J.
3
2014
Electromechanics of polarized lipid bilayers. Zbl 1333.74067
Steigmann, David; Agrawal, Ashutosh
3
2016
Refined theory for linearly elastic plates: laminae and laminates. Zbl 07278867
Steigmann, David J.
3
2012
On a consistent finite-strain plate theory of growth. Zbl 1441.74109
Wang, Jiong; Steigmann, David; Wang, Fan-Fan; Dai, Hui-Hui
3
2018
A note on residual stress, lattice orientation and dislocation density in crystalline solids. Zbl 1253.74016
Steigmann, David J.; Ogden, Ray W.
3
2012
The Legendre-Hadamard condition in Cosserat elasticity theory. Zbl 1502.74015
Shirani, Milad; Steigmann, David J.; Neff, Patrizio
3
2020
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.
3
2013
On pseudo-rigid bodies. Zbl 1149.74304
Steigmann, David J.
2
2006
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.
2
1998
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.
2
2003
Controllable deformations of elastic spatial rods. Zbl 0783.73034
Faulkner, M. G.; Steigmann, D. J.
2
1993
On the theory of diffusion and swelling in finitely deforming elastomers. Zbl 1381.74185
Templet, Gary J.; Steigmann, David J.
2
2013
Equilibrium theory for a lipid bilayer with a conforming cytoskeletal membrane. Zbl 1444.53021
Hendrickson, Brett; Shirani, Milad; Steigmann, David J.
2
2020
Quasiconvexity and rank-one convexity in Cosserat elasticity theory. Zbl 1496.74031
Shirani, Milad; Steigmann, David J.
2
2022
Analysis of nonlinear electrostatic membranes. Zbl 1430.74045
Edmiston, John; Steigmann, David
1
2011
Uniqueness of the displacement field in classical linear elastostatics. Zbl 1034.74024
Steigmann, David J.; Wheeler, Lewis T.
1
2003
Analysis of a theory of elasticity for masonry solids. Zbl 0734.73030
Steigmann, D. J.
1
1991
Quasiconvexity and rank-one convexity in Cosserat elasticity theory. Zbl 1496.74031
Shirani, Milad; Steigmann, David J.
2
2022
Cosserat elasticity of lattice solids. Zbl 1501.74007
Shirani, M.; Steigmann, D. J.
1
2022
A primer on plasticity. Zbl 1444.74011
Steigmann, David J.
5
2020
The Legendre-Hadamard condition in Cosserat elasticity theory. Zbl 1502.74015
Shirani, Milad; Steigmann, David J.; Neff, Patrizio
3
2020
Equilibrium theory for a lipid bilayer with a conforming cytoskeletal membrane. Zbl 1444.53021
Hendrickson, Brett; Shirani, Milad; Steigmann, David J.
2
2020
Continuum theory for mechanical metamaterials with a cubic lattice substructure. Zbl 1428.74004
Eugster, Simon R.; dell’Isola, Francesco; Steigmann, David J.
29
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.
9
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.
4
2019
Asymptotic derivation of nonlinear plate models from three-dimensional elasticity theory. Zbl 1461.74044
Shirani, Milad; Steigmann, David J.
1
2019
Linear pantographic sheets: existence and uniqueness of weak solutions. Zbl 1398.74011
Eremeyev, Victor A.; dell’Isola, Francesco; Boutin, Claude; Steigmann, David
45
2018
Equilibrium of elastic lattice shells. Zbl 1408.74035
Steigmann, D. J.
12
2018
On a consistent finite-strain plate theory of growth. Zbl 1441.74109
Wang, Jiong; Steigmann, David; Wang, Fan-Fan; Dai, Hui-Hui
3
2018
The role of mechanics in the study of lipid bilayers. Lecture notes based on the presentations at the summer school, Udine, Italy, July 11–15, 2016. Zbl 1397.74006
1
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.
24
2017
Finite elasticity theory. Zbl 1369.74002
Steigmann, David
9
2017
Mathematical modelling in solid mechanics. Contributions mainly based on the presentations at the international conference ‘Emerging trends in applied mathematics and mechanics’, ETAMM 2016, Perpignan, France, May 30 – June 3, 2016. Zbl 1381.74008
1
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’Isola, F.; d’Agostino, M. V.; Madeo, A.; Boisse, P.; Steigmann, D.
12
2016
Electromechanics of polarized lipid bilayers. Zbl 1333.74067
Steigmann, David; Agrawal, Ashutosh
3
2016
A two-dimensional gradient-elasticity theory for woven fabrics. Zbl 1305.74024
dell’Isola, Francesco; Steigmann, David
65
2015
Mechanical response of fabric sheets to three-dimensional bending, twisting, and stretching. Zbl 1346.74128
Steigmann, David J.; dell’Isola, Francesco
54
2015
A two-dimensional peridynamic model for thin plates. Zbl 1330.74111
Taylor, Michael; Steigmann, David J.
21
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
16
2015
Distension-induced gradient capillarity in lipid membranes. Zbl 1341.76036
Kim, Chun-Il; Steigmann, David J.
9
2015
Mechanics of materially uniform thin films. Zbl 1327.74103
Steigmann, David J.
8
2015
Spatial resolution of wrinkle patterns in thin elastic sheets at finite strain. Zbl 1323.74052
Taylor, Michael; Bertoldi, Katia; Steigmann, David J.
21
2014
Classical plate buckling theory as the small-thickness limit of three-dimensional incremental elasticity. Zbl 1432.74073
Steigmann, David J.; Ogden, Ray W.
8
2014
A polyconvex formulation of isotropic elastoplasticity theory. Zbl 1305.74026
Krishnan, Jyothi; Steigmann, David J.
7
2014
Variable tilt on lipid membranes. Zbl 1371.92024
Rangamani, P.; Steigmann, D. J.
3
2014
Plane strain problem in elastically rigid finite plasticity. Zbl 1297.74024
Gupta, A.; Steigmann, D. J.
1
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.
1
2014
Koiter’s shell theory from the perspective of three-dimensional nonlinear elasticity. Zbl 1315.74016
Steigmann, David J.
34
2013
A well-posed finite-strain model for thin elastic sheets with bending stiffness. Zbl 1528.74013
Steigmann, David J.
6
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.
3
2013
On the theory of diffusion and swelling in finitely deforming elastomers. Zbl 1381.74185
Templet, Gary J.; Steigmann, David J.
2
2013
Extension of Koiter’s linear shell theory to materials exhibiting arbitrary symmetry. Zbl 1423.74582
Steigmann, David J.
21
2012
Plastic flow in solids with interfaces. Zbl 1423.74170
Gupta, Anurag; Steigmann, David J.
4
2012
Refined theory for linearly elastic plates: laminae and laminates. Zbl 07278867
Steigmann, David J.
3
2012
A note on residual stress, lattice orientation and dislocation density in crystalline solids. Zbl 1253.74016
Steigmann, David J.; Ogden, Ray W.
3
2012
Aspects of the phenomenological theory of elastic-plastic deformation. Zbl 1320.74027
Gupta, A.; Steigmann, D. J.; Stölken, J. S.
13
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
10
2011
Mechanically equivalent elastic-plastic deformations and the problem of plastic spin. Zbl 1299.74030
Steigmann, David J.; Gupta, Anurag
8
2011
A model for surface diffusion of trans-membrane proteins on lipid bilayers. Zbl 1325.92024
Agrawal, Ashutosh; Steigmann, David J.
7
2011
Analysis of nonlinear electrostatic membranes. Zbl 1430.74045
Edmiston, John; Steigmann, David
1
2011
Finite element modeling of the deformation of magnetoelastic film. Zbl 1198.78003
Barham, Matthew I.; White, Daniel A.; Steigmann, David J.
7
2010
Elastic waves interacting with a thin, prestressed, fiber-reinforced surface film. Zbl 1231.74189
Steigmann, David J.
4
2010
On the formulation of balance laws for electromagnetic continua. Zbl 1257.74052
Steigmann, David J.
23
2009
Boundary value problems in the theory of lipid membranes. Zbl 1234.74035
Agrawal, Ashutosh; Steigmann, David J.
20
2009
A concise derivation of membrane theory from three-dimensional nonlinear elasticity. Zbl 1255.74042
Steigmann, David J.
12
2009
Linear theory for the bending and extension of a thin, residually stressed, fiber-reinforced lamina. Zbl 1213.74210
Steigmann, David J.
11
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.
36
2008
Coexistent fluid-phase equilibria in biomembranes with bending elasticity. Zbl 1159.74380
Agrawal, Ashutosh; Steigmann, David J.
10
2008
On the evolution of plasticity and incompatibility. Zbl 1133.74009
Gupta, Anurag; Steigmann, David J.; Stölken, James S.
31
2007
Thin-plate theory for large elastic deformations. Zbl 1200.74098
Steigmann, David J.
23
2007
Surface waves supported by thin-film/substrate interactions. Zbl 1128.74021
Steigmann, D. J.; Ogden, R. W.
14
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.
8
2007
Asymptotic finite-strain thin-plate theory for elastic solids. Zbl 1129.74026
Steigmann, David J.
8
2007
A simple model of the Treloar-Kearsley instability. Zbl 1133.74017
Steigmann, David J.
4
2007
On the frame invariance of linear elasticity theory. Zbl 1106.74013
Steigmann, David J.
3
2007
Multiscale constitutive modeling and numerical simulation of fabric material. Zbl 1119.74535
Nadler, Ben; Papadopoulos, Panayiotis; Steigmann, David J.
16
2006
Modeling the indentation, penetration and cavitation of elastic membranes. Zbl 1120.74593
Nadler, Ben; Steigmann, David J.
7
2006
Entropic thermoelasticity of thin polymeric films. Zbl 1158.74423
Taylor, M.; Steigmann, D. J.
4
2006
Convexity of the strain-energy function in a two-scale model of ideal fabrics. Zbl 1098.74046
Nadler, B.; Papadopoulos, P.; Steigmann, D. J.
4
2006
On pseudo-rigid bodies. Zbl 1149.74304
Steigmann, David J.
2
2006
Puncturing a thin elastic sheet. Zbl 1349.74282
Steigmann, David J.
8
2005
Equilibrium theory for magnetic elastomers and magnetoelastic membranes. Zbl 1348.74116
Steigmann, David J.
35
2004
On the variational theory of cell-membrane equilibria. Zbl 1057.35077
Steigmann, David; Baesu, Eveline; Rudd, Robert E.; Belak, Jim; McElfresh, Mike
24
2003
Frame-invariant polyconvex strain-energy functions for some anisotropic solids. Zbl 1052.74012
Steigmann, David J.
22
2003
A model for frictional slip in woven fabrics. Zbl 1223.74014
Nadler, Ben; Steigmann, David J.
12
2003
On isotropic, frame-invariant, polyconvex strain-energy functions. Zbl 1085.74009
Steigmann, David J.
9
2003
Irreducible function bases for simple fluids and liquid crystal films. Zbl 1024.76005
Steigmann, David J.
4
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.
2
2003
Uniqueness of the displacement field in classical linear elastostatics. Zbl 1034.74024
Steigmann, David J.; Wheeler, Lewis T.
1
2003
Invariants of the stretch tensors and their application to finite elasticity theory. Zbl 1047.74007
Steigmann, David J.
16
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.
9
2002
Elements of the theory of elastic surfaces. Zbl 0993.74039
Steigmann, David J.
3
2001
Elastic surface-substrate interactions. Zbl 0926.74016
Steigmann, D. J.; Ogden, R. W.
153
1999
Fluid films with curvature elasticity. Zbl 0982.76012
Steigmann, D. J.
44
1999
On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells. Zbl 1001.74588
Steigmann, D. J.
25
1999
Coupled deformations of elastic curves and surfaces. Zbl 0923.73018
Atai, A. A.; Steigmann, D. J.
13
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.
2
1998
Plane deformations of elastic solids with intrinsic boundary elasticity. Zbl 0938.74014
Steigmann, D. J.; Ogden, R. W.
201
1997
On the nonlinear mechanics of discrete networks. Zbl 0879.73045
Atai, A. A.; Steigmann, D. J.
21
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.
9
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.
7
1997
Equilibrium analysis of finitely deformed elastic networks. Zbl 0851.73011
Haseganu, E. M.; Steigmann, D. J.
15
1996
The variational structure of a nonlinear theory for spatial lattices. Zbl 0868.73090
Steigmann, D. J.
14
1996
Finite deformation of a pressurized toroidal membrane. Zbl 0836.73035
Li, X.; Steigmann, D. J.
8
1995
Energy-minimizing states of capillary systems with bulk, surface, and line phases. Zbl 0835.76083
Steigmann, D. J.; Li, Dongqing
7
1995
Azimuthal shearing and transverse deflection of an annular elastic membrane. Zbl 0899.73215
Roxburgh, D. G.; Steigmann, D. J.; Tait, R. J.
6
1995
Point loads on a hemispherical elastic membrane. Zbl 0835.73031
Li, X.; Steigmann, D. J.
6
1995
Remarks on a theory of elasticity for fluid films. Zbl 0827.76007
Steigmann, D. J.; Li, Dongqing
3
1995
Analysis of partly wrinkled membranes by the method of dynamic relaxation. Zbl 0813.73035
Haseganu, E. M.; Steigmann, D. J.
22
1994
Theoretical flexural response of a pressurized cylindrical membrane. Zbl 0798.73029
Haseganu, E. M.; Steigmann, D. J.
13
1994
Variational theory for spatial rods. Zbl 0801.73039
Steigmann, D. J.; Faulkner, M. G.
29
1993
Finite plane twist of an annular membrane. Zbl 0785.73041
Li, X.; Steigmann, D. J.
22
1993
Controllable deformations of elastic spatial rods. Zbl 0783.73034
Faulkner, M. G.; Steigmann, D. J.
2
1993
Equilibrium of prestressed networks. Zbl 0744.73025
Steigmann, D. J.
8
1992
Cavitation in elastic membranes - an example. Zbl 0777.73031
Steigmann, D. J.
8
1992
Equilibrium of elastic nets. Zbl 0734.73098
Steigmann, D. J.; Pipkin, A. C.
30
1991
Analysis of a theory of elasticity for masonry solids. Zbl 0734.73030
Steigmann, D. J.
1
1991
...and 6 more Documents
all top 5

Cited by 1,071 Authors

58 Steigmann, David J.
33 Neff, Patrizio
32 dell’Isola, Francesco
32 Eremeyev, Victor A.
29 Barchiesi, Emilio
29 Schiavone, Peter
27 Giorgio, Ivan
24 Placidi, Luca
23 Steinmann, Paul
21 Javili, Ali
21 Turco, Emilio
16 Gao, Xinlin
16 Kim, Chun Il
16 Ogden, Raymond William
15 Wang, Xu
14 Bustamante, Roger
14 Ghiba, Ionel-Dumitrel
14 Pruchnicki, Erick
12 Bîrsan, Mircea
12 Rizzi, Nicola Luigi
12 Sauer, Roger A.
11 Della Corte, Alessandro
11 Martin, Robert J.
11 Spagnuolo, Mario
10 Abali, Bilen Emek
10 Altenbach, Holm
10 Dai, Hui-Hui
10 Greco, Leopoldo
10 Mi, Changwen
10 Mogilevskaya, Sofia G.
9 Madeo, Angela
9 Zemlyanova, Anna Y.
8 Bersani, Alberto Maria
8 Coman, Ciprian D.
8 Cuomo, Massimo
8 Goriely, Alain
8 Shirani, Milad
8 Zohdi, Tarek I.
7 Agrawal, Ashutosh
7 Andreaus, Ugo A.
7 Duong, Thang X.
7 Eugster, Simon Raphael
7 Gupta, Anurag P.
7 Lurie, Sergey A.
7 Mandadapu, Kranthi K.
7 Nadler, Ben
7 Rabczuk, Timon
7 Rosi, Giuseppe A.
7 Scerrato, Daria
7 Solyaev, Yury O.
7 Zhang, Gongye
6 Battista, Antonio
6 Bigoni, Davide
6 Ciallella, Alessandro
6 Gharahi, Alireza
6 Oterkus, Erkan
6 Oterkus, Selda
6 Ru, Chong-Qing
6 Yavari, Arash
5 Cazzani, Antonio M.
5 Chatzigeorgiou, George
5 Dai, Ming
5 Federico, Salvatore
5 Fried, Eliot
5 Fu, Chenbo
5 Healey, Timothy J.
5 Lazopoulos, Konstantinos A.
5 Lekszycki, Tomasz
5 Lubarda, Vlado A.
5 Merodio, Jose
5 Mosler, Jörn
5 Müller, Wolfgang H.
5 Murphy, Jeremiah G.
5 Vinh, Pham Chi
5 Wang, Jiong
4 Alibert, Jean-Jacques
4 Ban, Youxue
4 Bassom, Andrew P.
4 Ben Amar, Martine
4 Boisse, Philippe
4 Cleja-Țigoiu, Sanda
4 D’Annibale, Francesco
4 deBotton, Gal
4 Dharmavaram, Sanjay
4 Epstein, Marcelo
4 Gao, David Yang
4 Gei, Massimiliano
4 Grekov, Mikhail A.
4 Haldar, Krishnendu
4 Hanna, James A.
4 Horgan, Cornelius Oliver
4 Huang, Zhuping
4 Kumar, Ajeet
4 Lebedev, Leonid Petrovich
4 Li, Xiaobao
4 Liu, Liping
4 McBride, Andrew T.
4 Misra, Anil
4 Nazarenko, Lidiia
4 Nedjar, Boumediene
...and 971 more Authors
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Cited in 89 Serials

178 Mathematics and Mechanics of Solids
74 Journal of Elasticity
69 International Journal of Engineering Science
65 ZAMP. Zeitschrift für angewandte Mathematik und Physik
59 Computer Methods in Applied Mechanics and Engineering
57 Journal of the Mechanics and Physics of Solids
53 Acta Mechanica
40 Continuum Mechanics and Thermodynamics
37 European Journal of Mechanics. A. Solids
23 Computational Mechanics
23 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
14 Journal of Computational Physics
14 International Journal for Numerical Methods in Engineering
14 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
13 Journal of Engineering Mathematics
12 Mathematics and Mechanics of Complex Systems
10 International Journal of Solids and Structures
9 Wave Motion
8 Applied Mathematical Modelling
7 Archive for Rational Mechanics and Analysis
7 Journal of Fluid Mechanics
7 Archive of Applied Mechanics
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Meccanica
5 Journal of Nonlinear Science
4 Mechanics Research Communications
4 SIAM Journal on Applied Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Computers & Mathematics with Applications
3 Applied Mathematics and Computation
3 Applied Mathematics and Mechanics. (English Edition)
3 International Journal of Fracture
3 Acta Mechanica Sinica
3 AMM. Applied Mathematics and Mechanics. (English Edition)
2 Mathematical Methods in the Applied Sciences
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 SIAM Journal on Mathematical Analysis
2 Communications in Numerical Methods in Engineering
2 Mathematical Problems in Engineering
2 Lobachevskii Journal of Mathematics
2 GAMM-Mitteilungen
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 Nonlinearity
1 Physica A
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 Annals of Global Analysis and Geometry
1 Computer Aided Geometric Design
1 Physica D
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 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Vestnik St. Petersburg University. Mathematics
1 Advances in Engineering Software
1 Calculus of Variations and Partial Differential Equations
1 Physics of Fluids
1 Journal of Mathematical Sciences (New York)
1 Journal of Applied Analysis
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 Optimization Letters
1 Computational & Mathematical Methods in Medicine
1 Journal of Physics A: Mathematical and Theoretical
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 Research in the Mathematical Sciences

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