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
Murat, François; Paroni, Roberto Plate theory as the variational limit of the complementary energy functionals of inhomogeneous anisotropic linearly elastic bodies. (English) Zbl 1401.74188 Math. Mech. Solids 23, No. 8, 1119-1139 (2018). MSC: 74K20 74G65 74Q05 74E05 74E10 PDFBibTeX XMLCite \textit{F. Murat} and \textit{R. Paroni}, Math. Mech. Solids 23, No. 8, 1119--1139 (2018; Zbl 1401.74188) Full Text: DOI arXiv
Paroni, Roberto; Tomassetti, Giuseppe Linear models for thin plates of polymer gels. (English) Zbl 1395.74055 Math. Mech. Solids 23, No. 5, 835-862 (2018). MSC: 74K20 74E10 PDFBibTeX XMLCite \textit{R. Paroni} and \textit{G. Tomassetti}, Math. Mech. Solids 23, No. 5, 835--862 (2018; Zbl 1395.74055) Full Text: DOI arXiv
Marohnić, Maroje; Tambača, Josip Derivation of a linear prestressed elastic rod model from three-dimensional elasticity. (English) Zbl 1338.74074 Math. Mech. Solids 20, No. 10, 1215-1233 (2015). MSC: 74K10 74B10 PDFBibTeX XMLCite \textit{M. Marohnić} and \textit{J. Tambača}, Math. Mech. Solids 20, No. 10, 1215--1233 (2015; Zbl 1338.74074) Full Text: DOI
Paroni, Roberto; Tomassetti, Giuseppe Buckling of residually stressed plates: an asymptotic approach. (English) Zbl 1330.74069 Math. Mech. Solids 20, No. 8, 982-997 (2015). MSC: 74G60 74K20 74G10 PDFBibTeX XMLCite \textit{R. Paroni} and \textit{G. Tomassetti}, Math. Mech. Solids 20, No. 8, 982--997 (2015; Zbl 1330.74069) Full Text: DOI
Bîrsan, Mircea; Neff, Patrizio Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations. (English) Zbl 1364.74060 Math. Mech. Solids 19, No. 4, 376-397 (2014). MSC: 74K25 74G65 74G25 PDFBibTeX XMLCite \textit{M. Bîrsan} and \textit{P. Neff}, Math. Mech. Solids 19, No. 4, 376--397 (2014; Zbl 1364.74060) Full Text: DOI arXiv
Paroni, Roberto; Tomassetti, Giuseppe On Korn’s constant for thin cylindrical domains. (English) Zbl 1353.74013 Math. Mech. Solids 19, No. 3, 318-333 (2014). MSC: 74B05 35Q74 35A23 PDFBibTeX XMLCite \textit{R. Paroni} and \textit{G. Tomassetti}, Math. Mech. Solids 19, No. 3, 318--333 (2014; Zbl 1353.74013) Full Text: DOI Link
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
Della Longa, Luca; Freddi, Lorenzo; Londero, Alessandro; Paroni, Roberto Residually stressed beams. (English) Zbl 1528.74059 Math. Mech. Solids 18, No. 8, 876-895 (2013). MSC: 74K10 74B05 PDFBibTeX XMLCite \textit{L. Della Longa} et al., Math. Mech. Solids 18, No. 8, 876--895 (2013; Zbl 1528.74059) Full Text: DOI Link
Bîrsan, Mircea; Neff, Patrizio Existence theorems in the geometrically non-linear 6-parameter theory of elastic plates. (English) Zbl 1267.74073 J. Elasticity 112, No. 2, 185-198 (2013). MSC: 74K20 74K25 74G65 74G25 PDFBibTeX XMLCite \textit{M. Bîrsan} and \textit{P. Neff}, J. Elasticity 112, No. 2, 185--198 (2013; Zbl 1267.74073) Full Text: DOI arXiv
Marohnić, Maroje; Tambača, Josip Derivation of the linear elastic string model from three-dimensional elasticity. (English) Zbl 1322.74030 J. Elasticity 111, No. 1, 41-65 (2013). MSC: 74K05 74B10 74G10 74G30 35Q74 PDFBibTeX XMLCite \textit{M. Marohnić} and \textit{J. Tambača}, J. Elasticity 111, No. 1, 41--65 (2013; Zbl 1322.74030) 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
Rizzoni, Raffaella; Lebon, Frédéric Asymptotic analysis of an adhesive joint with mismatch strain. (English) Zbl 1348.74029 Eur. J. Mech., A, Solids 36, 1-8 (2012). MSC: 74A50 74G10 74G65 PDFBibTeX XMLCite \textit{R. Rizzoni} and \textit{F. Lebon}, Eur. J. Mech., A, Solids 36, 1--8 (2012; Zbl 1348.74029) Full Text: DOI HAL
Paroni, Roberto; Tomassetti, Giuseppe Asymptotically exact Korn’s constant for thin cylindrical domains. (English. French summary) Zbl 1369.35091 C. R., Math., Acad. Sci. Paris 350, No. 15-16, 749-752 (2012). MSC: 35Q74 35A23 74K25 PDFBibTeX XMLCite \textit{R. Paroni} and \textit{G. Tomassetti}, C. R., Math., Acad. Sci. Paris 350, No. 15--16, 749--752 (2012; Zbl 1369.35091) Full Text: DOI
Paroni, Roberto; Tomassetti, Giuseppe From non linear elasticity to linear elasticity with initial stress via \(\Gamma\)-convergence. (English) Zbl 1272.74046 Contin. Mech. Thermodyn. 23, No. 4, 347-361 (2011). MSC: 74B20 74B05 74G65 PDFBibTeX XMLCite \textit{R. Paroni} and \textit{G. Tomassetti}, Contin. Mech. Thermodyn. 23, No. 4, 347--361 (2011; Zbl 1272.74046) Full Text: DOI Link
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
Paroni, Roberto; Tomassetti, Giuseppe A variational justification of linear elasticity with residual stress. (English) Zbl 1188.74009 J. Elasticity 97, No. 2, 189-206 (2009). MSC: 74B20 74G65 74B05 PDFBibTeX XMLCite \textit{R. Paroni} and \textit{G. Tomassetti}, J. Elasticity 97, No. 2, 189--206 (2009; Zbl 1188.74009) Full Text: DOI
Della Longa, Luca; Londero, Alessandro Thin walled beams with residual stress. (English) Zbl 1273.74161 J. Elasticity 96, No. 1, 27-41 (2009). MSC: 74K10 74E10 74E05 PDFBibTeX XMLCite \textit{L. Della Longa} and \textit{A. Londero}, J. Elasticity 96, No. 1, 27--41 (2009; Zbl 1273.74161) 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
Davini, Cesare; Paroni, Roberto; Puntel, Eric An asymptotic approach to the torsion problem in thin rectangular domains. (English) Zbl 1163.74475 Meccanica 43, No. 4, 429-435 (2008). MSC: 74B05 74G10 PDFBibTeX XMLCite \textit{C. Davini} et al., Meccanica 43, No. 4, 429--435 (2008; Zbl 1163.74475) Full Text: DOI
Blanchard, Dominique; Gaudiello, Antonio; Griso, Georges Junction of a periodic family of elastic rods with a thin plate. II. (English) Zbl 1127.74025 J. Math. Pures Appl. (9) 88, No. 2, 149-190 (2007). MSC: 74K30 74Q05 74K10 74K20 35B27 PDFBibTeX XMLCite \textit{D. Blanchard} et al., J. Math. Pures Appl. (9) 88, No. 2, 149--190 (2007; Zbl 1127.74025) Full Text: DOI
Paroni, Roberto The equations of motion of a plate with residual stress. (English) Zbl 1158.74413 Meccanica 41, No. 1, 1-21 (2006). MSC: 74K20 PDFBibTeX XMLCite \textit{R. Paroni}, Meccanica 41, No. 1, 1--21 (2006; Zbl 1158.74413) Full Text: DOI