Steigmann, D. J. Gradient plasticity in isotropic solids. (English) Zbl 07619114 Math. Mech. Solids 27, No. 10, 1896-1912 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{D. J. Steigmann}, Math. Mech. Solids 27, No. 10, 1896--1912 (2022; Zbl 07619114) Full Text: DOI
Shirani, M.; Steigmann, D. J. Cosserat elasticity of lattice solids. (English) Zbl 1501.74007 J. Elasticity 151, No. 1, 73-88 (2022). MSC: 74A40 74E30 74B20 PDFBibTeX XMLCite \textit{M. Shirani} and \textit{D. J. Steigmann}, J. Elasticity 151, No. 1, 73--88 (2022; Zbl 1501.74007) Full Text: DOI
Shirani, Milad; Steigmann, David J. Asymptotic estimate of the potential energy of a plastically deformed thin shell. (English) Zbl 1473.74093 Altenbach, Holm (ed.) et al., Analysis of shells, plates, and beams. A state of the art report. Dedicated to George Jaiani on the occasion of his 75th birthday. Cham: Springer. Adv. Struct. Mater. 134, 409-420 (2020). MSC: 74K25 74G10 74C05 74G65 PDFBibTeX XMLCite \textit{M. Shirani} and \textit{D. J. Steigmann}, Adv. Struct. Mater. 134, 409--420 (2020; Zbl 1473.74093) Full Text: DOI
Hendrickson, Brett; Shirani, Milad; Steigmann, David J. Equilibrium theory for a lipid bilayer with a conforming cytoskeletal membrane. (English) Zbl 1444.53021 Math. Mech. Complex Syst. 8, No. 1, 69-99 (2020). MSC: 53B50 74K25 PDFBibTeX XMLCite \textit{B. Hendrickson} et al., Math. Mech. Complex Syst. 8, No. 1, 69--99 (2020; Zbl 1444.53021) Full Text: DOI
Steigmann, David J. A primer on plasticity. (English) Zbl 1444.74011 Merodio, José (ed.) et al., Constitutive modelling of solid continua. Based on the international workshop on modelling of nonlinear continua, Castro Urdiales, Spain, June 26–30, 2017. Cham: Springer. Solid Mech. Appl. 262, 125-153 (2020). MSC: 74C20 74E15 74-01 PDFBibTeX XMLCite \textit{D. J. Steigmann}, Solid Mech. Appl. 262, 125--153 (2020; Zbl 1444.74011) Full Text: DOI
Shirani, Milad; Steigmann, David J. Asymptotic derivation of nonlinear plate models from three-dimensional elasticity theory. (English) Zbl 1461.74044 Altenbach, Holm (ed.) et al., Recent developments in the theory of shells. Dedicated to Wojciech Pietraszkiewicz on the occasion of his 80th birthday. Cham: Springer. Adv. Struct. Mater. 110, 591-614 (2019). Reviewer: M. Cengiz Dökmeci (İstanbul) MSC: 74K20 74G10 74B20 PDFBibTeX XMLCite \textit{M. Shirani} and \textit{D. J. Steigmann}, Adv. Struct. Mater. 110, 591--614 (2019; Zbl 1461.74044) Full Text: DOI
Giorgio, Ivan; Rizzi, Nicola L.; Andreaus, Ugo; Steigmann, David J. A two-dimensional continuum model of pantographic sheets moving in a 3D space and accounting for the offset and relative rotations of the fibers. (English) Zbl 1446.74080 Math. Mech. Complex Syst. 7, No. 4, 311-325 (2019). MSC: 74A40 74A60 74B20 PDFBibTeX XMLCite \textit{I. Giorgio} et al., Math. Mech. Complex Syst. 7, No. 4, 311--325 (2019; Zbl 1446.74080) Full Text: DOI
Eugster, Simon R.; dell’Isola, Francesco; Steigmann, David J. Continuum theory for mechanical metamaterials with a cubic lattice substructure. (English) Zbl 1428.74004 Math. Mech. Complex Syst. 7, No. 1, 75-98 (2019). MSC: 74A05 74A30 74A60 74B20 PDFBibTeX XMLCite \textit{S. R. Eugster} et al., Math. Mech. Complex Syst. 7, No. 1, 75--98 (2019; Zbl 1428.74004) Full Text: DOI
Taylor, M.; Shirani, M.; Dabiri, Y.; Guccione, J. M.; Steigmann, D. J. Finite elastic wrinkling deformations of incompressible fiber-reinforced plates. (English) Zbl 1476.74100 Int. J. Eng. Sci. 144, Article ID 103138, 21 p. (2019). MSC: 74K20 PDFBibTeX XMLCite \textit{M. Taylor} et al., Int. J. Eng. Sci. 144, Article ID 103138, 21 p. (2019; Zbl 1476.74100) Full Text: DOI Link
Wang, Jiong; Steigmann, David; Wang, Fan-Fan; Dai, Hui-Hui On a consistent finite-strain plate theory of growth. (English) Zbl 1441.74109 J. Mech. Phys. Solids 111, 184-214 (2018). MSC: 74K20 74B99 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Mech. Phys. Solids 111, 184--214 (2018; Zbl 1441.74109) Full Text: DOI
Eremeyev, Victor A.; dell’Isola, Francesco; Boutin, Claude; Steigmann, David Linear pantographic sheets: existence and uniqueness of weak solutions. (English) Zbl 1398.74011 J. Elasticity 132, No. 2, 175-196 (2018). MSC: 74A30 74G25 74G30 74G65 46E35 PDFBibTeX XMLCite \textit{V. A. Eremeyev} et al., J. Elasticity 132, No. 2, 175--196 (2018; Zbl 1398.74011) Full Text: DOI
dell’Isola, F.; d’Agostino, M. V.; Madeo, A.; Boisse, P.; Steigmann, D. Minimization of shear energy in two dimensional continua with two orthogonal families of inextensible fibers: the case of standard bias extension test. (English) Zbl 1330.74024 J. Elasticity 122, No. 2, 131-155 (2016). MSC: 74B20 74K99 74E99 PDFBibTeX XMLCite \textit{F. dell'Isola} et al., J. Elasticity 122, No. 2, 131--155 (2016; Zbl 1330.74024) Full Text: DOI HAL
Steigmann, David J. Mechanics of materially uniform thin films. (English) Zbl 1327.74103 Math. Mech. Solids 20, No. 3, 309-326 (2015). MSC: 74K35 PDFBibTeX XMLCite \textit{D. J. Steigmann}, Math. Mech. Solids 20, No. 3, 309--326 (2015; Zbl 1327.74103) Full Text: DOI Link
Neff, Patrizio; Lankeit, Johannes; Ghiba, Ionel-Dumitrel; Martin, Robert; Steigmann, David The exponentiated Hencky-logarithmic strain energy. II: Coercivity, planar polyconvexity and existence of minimizers. (English) Zbl 1320.74022 Z. Angew. Math. Phys. 66, No. 4, 1671-1693 (2015). MSC: 74B20 74G65 35Q74 35E10 PDFBibTeX XMLCite \textit{P. Neff} et al., Z. Angew. Math. Phys. 66, No. 4, 1671--1693 (2015; Zbl 1320.74022) Full Text: DOI arXiv
dell’Isola, Francesco; Steigmann, David A two-dimensional gradient-elasticity theory for woven fabrics. (English) Zbl 1305.74024 J. Elasticity 118, No. 1, 113-125 (2015). MSC: 74B20 74K99 74E99 PDFBibTeX XMLCite \textit{F. dell'Isola} and \textit{D. Steigmann}, J. Elasticity 118, No. 1, 113--125 (2015; Zbl 1305.74024) Full Text: DOI HAL
Taylor, Michael; Bertoldi, Katia; Steigmann, David J. Spatial resolution of wrinkle patterns in thin elastic sheets at finite strain. (English) Zbl 1323.74052 J. Mech. Phys. Solids 62, 163-180 (2014). MSC: 74K20 74G15 74B20 37N20 74S30 PDFBibTeX XMLCite \textit{M. Taylor} et al., J. Mech. Phys. Solids 62, 163--180 (2014; Zbl 1323.74052) Full Text: DOI
Steigmann, David J.; Ogden, Ray W. Classical plate buckling theory as the small-thickness limit of three-dimensional incremental elasticity. (English) Zbl 1432.74073 ZAMM, Z. Angew. Math. Mech. 94, No. 1-2, 7-20 (2014). MSC: 74G60 74B20 74K20 PDFBibTeX XMLCite \textit{D. J. Steigmann} and \textit{R. W. Ogden}, ZAMM, Z. Angew. Math. Mech. 94, No. 1--2, 7--20 (2014; Zbl 1432.74073) Full Text: DOI
Steigmann, David J. A well-posed finite-strain model for thin elastic sheets with bending stiffness. (English) Zbl 1528.74013 Math. Mech. Solids 18, No. 1, 103-112 (2013). MSC: 74B20 74K20 PDFBibTeX XMLCite \textit{D. J. Steigmann}, Math. Mech. Solids 18, No. 1, 103--112 (2013; Zbl 1528.74013) Full Text: DOI
Edmiston, J.; Steigmann, D. J.; Johnson, G. J.; Barton, N. A model for elastic-viscoplastic deformations of crystalline solids based on material symmetry: theory and plane-strain simulations. (English) Zbl 1423.74168 Int. J. Eng. Sci. 63, 10-22 (2013). MSC: 74C15 74A05 74C10 74E15 PDFBibTeX XMLCite \textit{J. Edmiston} et al., Int. J. Eng. Sci. 63, 10--22 (2013; Zbl 1423.74168) Full Text: DOI
Steigmann, David J. Refined theory for linearly elastic plates: laminae and laminates. (English) Zbl 07278867 Math. Mech. Solids 17, No. 4, 351-363 (2012); corrigendum ibid. 17, No. 6, 666 (2012). MSC: 74-XX PDFBibTeX XMLCite \textit{D. J. Steigmann}, Math. Mech. Solids 17, No. 4, 351--363 (2012; Zbl 07278867) Full Text: DOI
Steigmann, David J. Extension of Koiter’s linear shell theory to materials exhibiting arbitrary symmetry. (English) Zbl 1423.74582 Int. J. Eng. Sci. 51, 216-232 (2012). MSC: 74K25 74E10 PDFBibTeX XMLCite \textit{D. J. Steigmann}, Int. J. Eng. Sci. 51, 216--232 (2012; Zbl 1423.74582) Full Text: DOI
Steigmann, David J.; Ogden, Ray W. A note on residual stress, lattice orientation and dislocation density in crystalline solids. (English) Zbl 1253.74016 J. Elasticity 109, No. 2, 275-283 (2012). MSC: 74B20 74C15 74E15 PDFBibTeX XMLCite \textit{D. J. Steigmann} and \textit{R. W. Ogden}, J. Elasticity 109, No. 2, 275--283 (2012; Zbl 1253.74016) Full Text: DOI HAL
Gupta, Anurag; Steigmann, David J. Plastic flow in solids with interfaces. (English) Zbl 1423.74170 Math. Methods Appl. Sci. 35, No. 15, 1799-1824 (2012). MSC: 74C20 74A50 74A15 PDFBibTeX XMLCite \textit{A. Gupta} and \textit{D. J. Steigmann}, Math. Methods Appl. Sci. 35, No. 15, 1799--1824 (2012; Zbl 1423.74170) Full Text: DOI arXiv
Gupta, A.; Steigmann, D. J.; Stölken, J. S. Aspects of the phenomenological theory of elastic-plastic deformation. (English) Zbl 1320.74027 J. Elasticity 104, No. 1-2, 249-266 (2011). MSC: 74C15 74E15 PDFBibTeX XMLCite \textit{A. Gupta} et al., J. Elasticity 104, No. 1--2, 249--266 (2011; Zbl 1320.74027) Full Text: DOI
Steigmann, David J. Elastic waves interacting with a thin, prestressed, fiber-reinforced surface film. (English) Zbl 1231.74189 Int. J. Eng. Sci. 48, No. 11, 1604-1609 (2010). MSC: 74J05 74K35 PDFBibTeX XMLCite \textit{D. J. Steigmann}, Int. J. Eng. Sci. 48, No. 11, 1604--1609 (2010; Zbl 1231.74189) Full Text: DOI
Barham, Matthew I.; White, Daniel A.; Steigmann, David J. Finite element modeling of the deformation of magnetoelastic film. (English) Zbl 1198.78003 J. Comput. Phys. 229, No. 18, 6193-6207 (2010). MSC: 78A30 74F15 78M10 74S05 PDFBibTeX XMLCite \textit{M. I. Barham} et al., J. Comput. Phys. 229, No. 18, 6193--6207 (2010; Zbl 1198.78003) Full Text: DOI
Agrawal, Ashutosh; Steigmann, David J. Boundary value problems in the theory of lipid membranes. (English) Zbl 1234.74035 Contin. Mech. Thermodyn. 21, No. 1, 57-82 (2009). MSC: 74K15 74L15 92C10 PDFBibTeX XMLCite \textit{A. Agrawal} and \textit{D. J. Steigmann}, Contin. Mech. Thermodyn. 21, No. 1, 57--82 (2009; Zbl 1234.74035) Full Text: DOI
Steigmann, David J. Linear theory for the bending and extension of a thin, residually stressed, fiber-reinforced lamina. (English) Zbl 1213.74210 Int. J. Eng. Sci. 47, No. 11-12, 1367-1378 (2009). MSC: 74K20 74E30 74B05 74G65 PDFBibTeX XMLCite \textit{D. J. Steigmann}, Int. J. Eng. Sci. 47, No. 11--12, 1367--1378 (2009; Zbl 1213.74210) Full Text: DOI
Steigmann, David J. Two-dimensional models for the combined bending and stretching of plates and shells based on three-dimensional linear elasticity. (English) Zbl 1213.74209 Int. J. Eng. Sci. 46, No. 7, 654-676 (2008). MSC: 74K20 74K25 PDFBibTeX XMLCite \textit{D. J. Steigmann}, Int. J. Eng. Sci. 46, No. 7, 654--676 (2008; Zbl 1213.74209) Full Text: DOI
Agrawal, Ashutosh; Steigmann, David J. Coexistent fluid-phase equilibria in biomembranes with bending elasticity. (English) Zbl 1159.74380 J. Elasticity 93, No. 1, 63-80 (2008). MSC: 74L15 76A15 92C37 74A50 74K25 74G65 PDFBibTeX XMLCite \textit{A. Agrawal} and \textit{D. J. Steigmann}, J. Elasticity 93, No. 1, 63--80 (2008; Zbl 1159.74380) Full Text: DOI
Steigmann, David J. A simple model of the Treloar-Kearsley instability. (English) Zbl 1133.74017 Math. Mech. Solids 12, No. 6, 611-622 (2007). MSC: 74G60 74K15 PDFBibTeX XMLCite \textit{D. J. Steigmann}, Math. Mech. Solids 12, No. 6, 611--622 (2007; Zbl 1133.74017) Full Text: DOI
Gupta, Anurag; Steigmann, David J.; Stölken, James S. On the evolution of plasticity and incompatibility. (English) Zbl 1133.74009 Math. Mech. Solids 12, No. 6, 583-610 (2007). MSC: 74C15 74A60 74A50 PDFBibTeX XMLCite \textit{A. Gupta} et al., Math. Mech. Solids 12, No. 6, 583--610 (2007; Zbl 1133.74009) Full Text: DOI Link
Barham, M.; Steigmann, D. J.; Mcelfresh, M.; Rudd, R. E. Finite deformation of a pressurized magnetoelastic membrane in a stationary dipole field. (English) Zbl 1140.74441 Acta Mech. 191, No. 1-2, 1-19 (2007); erratum ibid. 221, No. 3-4, 383-388 (2011). MSC: 74F15 74K15 PDFBibTeX XMLCite \textit{M. Barham} et al., Acta Mech. 191, No. 1--2, 1--19 (2007; Zbl 1140.74441) Full Text: DOI
Steigmann, David J. On pseudo-rigid bodies. (English) Zbl 1149.74304 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2066, 559-565 (2006). MSC: 74A20 70E99 PDFBibTeX XMLCite \textit{D. J. Steigmann}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2066, 559--565 (2006; Zbl 1149.74304) Full Text: DOI
Taylor, M.; Steigmann, D. J. Entropic thermoelasticity of thin polymeric films. (English) Zbl 1158.74423 Acta Mech. 183, No. 1-2, 1-22 (2006). MSC: 74K35 74F05 74K15 PDFBibTeX XMLCite \textit{M. Taylor} and \textit{D. J. Steigmann}, Acta Mech. 183, No. 1--2, 1--22 (2006; Zbl 1158.74423) Full Text: DOI
Steigmann, David J. Frame-invariant polyconvex strain-energy functions for some anisotropic solids. (English) Zbl 1052.74012 Math. Mech. Solids 8, No. 5, 497-506 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 74E10 74B20 PDFBibTeX XMLCite \textit{D. J. Steigmann}, Math. Mech. Solids 8, No. 5, 497--506 (2003; Zbl 1052.74012) Full Text: DOI
Steigmann, David J. Invariants of the stretch tensors and their application to finite elasticity theory. (English) Zbl 1047.74007 Math. Mech. Solids 7, No. 4, 393-404 (2002). MSC: 74B20 15A72 PDFBibTeX XMLCite \textit{D. J. Steigmann}, Math. Mech. Solids 7, No. 4, 393--404 (2002; Zbl 1047.74007) Full Text: DOI
Ogden, R. W.; Steigmann, D. J. Plane strain dynamics of elastic solids with intrinsic boundary elasticity, with application to surface wave propagation. (English) Zbl 1062.74021 J. Mech. Phys. Solids 50, No. 9, 1869-1896 (2002). MSC: 74J15 74B20 74H10 PDFBibTeX XMLCite \textit{R. W. Ogden} and \textit{D. J. Steigmann}, J. Mech. Phys. Solids 50, No. 9, 1869--1896 (2002; Zbl 1062.74021) Full Text: DOI