Rajagopal, K. R.; Rodriguez, C. On an elastic strain-limiting special Cosserat rod model. (English) Zbl 1517.74059 Math. Models Methods Appl. Sci. 33, No. 1, 1-30 (2023). MSC: 74K10 74B20 74G60 PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{C. Rodriguez}, Math. Models Methods Appl. Sci. 33, No. 1, 1--30 (2023; Zbl 1517.74059) Full Text: DOI arXiv
Combescure, Christelle J.; Healey, Timothy J.; Treacy, Jay A group-theoretic approach to the bifurcation analysis of spatial Cosserat-rod frameworks with symmetry. (English) Zbl 1512.37056 J. Nonlinear Sci. 33, No. 2, Paper No. 32, 39 p. (2023). MSC: 37G40 74H60 70K50 74K10 PDFBibTeX XMLCite \textit{C. J. Combescure} et al., J. Nonlinear Sci. 33, No. 2, Paper No. 32, 39 p. (2023; Zbl 1512.37056) Full Text: DOI arXiv
Pradhan, Satya Prakash; Saxena, Prashant Buckling of chiral rods due to coupled axial and rotational growth. (English) Zbl 07589911 Math. Mech. Solids 26, No. 11, 1675-1700 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{S. P. Pradhan} and \textit{P. Saxena}, Math. Mech. Solids 26, No. 11, 1675--1700 (2021; Zbl 07589911) Full Text: DOI arXiv
Gupta, Prakhar; Kumar, Ajeet Phonons in chiral nanorods and nanotubes: a Cosserat-rod-based continuum approach. (English) Zbl 07273399 Math. Mech. Solids 24, No. 12, 3897-3919 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{P. Gupta} and \textit{A. Kumar}, Math. Mech. Solids 24, No. 12, 3897--3919 (2019; Zbl 07273399) Full Text: DOI
Singh, Raushan; Singh, Pranjal; Kumar, Ajeet Unusual extension-torsion-inflation couplings in pressurized thin circular tubes with helical anisotropy. (English) Zbl 07273334 Math. Mech. Solids 24, No. 9, 2694-2712 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{R. Singh} et al., Math. Mech. Solids 24, No. 9, 2694--2712 (2019; Zbl 07273334) Full Text: DOI
Smriti; Kumar, Ajeet; Großmann, Alexander; Steinmann, Paul A thermoelastoplastic theory for special Cosserat rods. (English) Zbl 1458.74089 Math. Mech. Solids 24, No. 3, 686-700 (2019). Reviewer: M. Cengiz Dökmeci (İstanbul) MSC: 74K10 74C05 74F05 PDFBibTeX XMLCite \textit{Smriti} et al., Math. Mech. Solids 24, No. 3, 686--700 (2019; Zbl 1458.74089) Full Text: DOI Link
Arora, Abhishek; Kumar, Ajeet; Steinmann, Paul A computational approach to obtain nonlinearly elastic constitutive relations of special Cosserat rods. (English) Zbl 1441.74034 Comput. Methods Appl. Mech. Eng. 350, 295-314 (2019). MSC: 74B20 74K10 74S99 PDFBibTeX XMLCite \textit{A. Arora} et al., Comput. Methods Appl. Mech. Eng. 350, 295--314 (2019; Zbl 1441.74034) Full Text: DOI
Singh, Raushan; Abhishek, D.; Kumar, Ajeet An asymptotic numerical method for continuation of spatial equilibria of special Cosserat rods. (English) Zbl 1440.74480 Comput. Methods Appl. Mech. Eng. 334, 167-182 (2018). MSC: 74S99 65N99 74S05 74G60 74K10 PDFBibTeX XMLCite \textit{R. Singh} et al., Comput. Methods Appl. Mech. Eng. 334, 167--182 (2018; Zbl 1440.74480) Full Text: DOI
Deshmukh, Sharief; Chen, Bang-Yen; Alghanemi, Azeb Natural mates of Frenet curves in Euclidean 3-space. (English) Zbl 1424.53020 Turk. J. Math. 42, No. 5, 2826-2840 (2018). MSC: 53A15 53C40 PDFBibTeX XMLCite \textit{S. Deshmukh} et al., Turk. J. Math. 42, No. 5, 2826--2840 (2018; Zbl 1424.53020)
Ma, T. Y.; Wang, Y. N.; Yuan, L.; Wang, J. S.; Qin, Q. H. Timoshenko beam model for chiral materials. (English) Zbl 1404.74082 Acta Mech. Sin. 34, No. 3, 549-560 (2018). MSC: 74K10 PDFBibTeX XMLCite \textit{T. Y. Ma} et al., Acta Mech. Sin. 34, No. 3, 549--560 (2018; Zbl 1404.74082) Full Text: DOI
Ieşan, D. Thermoelastic deformation of reinforced chiral cylinders. (English) Zbl 1380.74026 Acta Mech. 228, No. 11, 3901-3922 (2017). MSC: 74F05 74B05 74K10 PDFBibTeX XMLCite \textit{D. Ieşan}, Acta Mech. 228, No. 11, 3901--3922 (2017; Zbl 1380.74026) Full Text: DOI
Singh, Raushan; Kumar, Siddhant; Kumar, Ajeet Effect of intrinsic twist and orthotropy on extension-twist-inflation coupling in compressible circular tubes. (English) Zbl 1374.74017 J. Elasticity 128, No. 2, 175-201 (2017). MSC: 74B20 74A25 74Q15 PDFBibTeX XMLCite \textit{R. Singh} et al., J. Elasticity 128, No. 2, 175--201 (2017; Zbl 1374.74017) Full Text: DOI
Gupta, Prakhar; Kumar, Ajeet Effect of material nonlinearity on spatial buckling of nanorods and nanotubes. (English) Zbl 1354.74023 J. Elasticity 126, No. 2, 155-171 (2017). MSC: 74B20 74A25 74Q15 PDFBibTeX XMLCite \textit{P. Gupta} and \textit{A. Kumar}, J. Elasticity 126, No. 2, 155--171 (2017; Zbl 1354.74023) Full Text: DOI
Kumar, Ajeet; Kumar, Siddhant; Gupta, Prakhar A helical Cauchy-Born rule for special Cosserat rod modeling of nano and continuum rods. (English) Zbl 1338.74012 J. Elasticity 124, No. 1, 81-106 (2016). MSC: 74B20 74A25 74Q15 PDFBibTeX XMLCite \textit{A. Kumar} et al., J. Elasticity 124, No. 1, 81--106 (2016; Zbl 1338.74012) Full Text: DOI
El Kass, D.; Monneau, R. Atomic to continuum passage for nanotubes: a discrete Saint-Venant principle and error estimates. (English) Zbl 1292.82052 Arch. Ration. Mech. Anal. 213, No. 1, 25-128 (2014). MSC: 82D80 81V45 74G50 PDFBibTeX XMLCite \textit{D. El Kass} and \textit{R. Monneau}, Arch. Ration. Mech. Anal. 213, No. 1, 25--128 (2014; Zbl 1292.82052) Full Text: DOI
Healey, Timothy J.; Papadopoulos, Christopher M. Bifurcation of hemitropic elastic rods under axial thrust. (English) Zbl 1282.74047 Q. Appl. Math. 71, No. 4, 729-753 (2013). MSC: 74K10 74G60 74B20 37G40 PDFBibTeX XMLCite \textit{T. J. Healey} and \textit{C. M. Papadopoulos}, Q. Appl. Math. 71, No. 4, 729--753 (2013; Zbl 1282.74047) Full Text: DOI
De Cicco, S.; Ieşan, D. A theory of chiral Cosserat elastic plates. (English) Zbl 1273.74006 J. Elasticity 111, No. 2, 245-263 (2013). MSC: 74A35 74B99 74H25 74K20 35L20 PDFBibTeX XMLCite \textit{S. De Cicco} and \textit{D. Ieşan}, J. Elasticity 111, No. 2, 245--263 (2013; Zbl 1273.74006) Full Text: DOI
Velčić, Igor; Tambača, Josip Relaxation theorem and lower-dimensional models in micropolar elasticity. (English) Zbl 1257.74012 Math. Mech. Solids 15, No. 8, 812-853 (2010). MSC: 74A35 74A60 74B99 PDFBibTeX XMLCite \textit{I. Velčić} and \textit{J. Tambača}, Math. Mech. Solids 15, No. 8, 812--853 (2010; Zbl 1257.74012) Full Text: DOI
Kumar, Ajeet; Healey, Timothy J. A generalized computational approach to stability of static equilibria of nonlinearly elastic rods in the presence of constraints. (English) Zbl 1231.74484 Comput. Methods Appl. Mech. Eng. 199, No. 25-28, 1805-1815 (2010). MSC: 74S30 74G60 74K10 65F15 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{T. J. Healey}, Comput. Methods Appl. Mech. Eng. 199, No. 25--28, 1805--1815 (2010; Zbl 1231.74484) Full Text: DOI
Ieşan, D. Chiral effects in uniformly loaded rods. (English) Zbl 1208.74071 J. Mech. Phys. Solids 58, No. 9, 1272-1285 (2010). MSC: 74K10 PDFBibTeX XMLCite \textit{D. Ieşan}, J. Mech. Phys. Solids 58, No. 9, 1272--1285 (2010; Zbl 1208.74071) Full Text: DOI
McCoy, James Helices for mathematical modelling of proteins, nucleic acids and polymers. (English) Zbl 1140.92001 J. Math. Anal. Appl. 347, No. 1, 255-265 (2008). MSC: 92C05 82D60 92C40 PDFBibTeX XMLCite \textit{J. McCoy}, J. Math. Anal. Appl. 347, No. 1, 255--265 (2008; Zbl 1140.92001) Full Text: DOI
Lauderdale, Todd A.; O’Reilly, Oliver M. On the restrictions imposed by non-affine material symmetry groups for elastic rods: Application to helical substructures. (English) Zbl 1113.74041 Eur. J. Mech., A, Solids 26, No. 4, 701-711 (2007). MSC: 74K10 74A35 PDFBibTeX XMLCite \textit{T. A. Lauderdale} and \textit{O. M. O'Reilly}, Eur. J. Mech., A, Solids 26, No. 4, 701--711 (2007; Zbl 1113.74041) Full Text: DOI
Lafortune, Stéphane; Goriely, Alain; Tabor, Michael The dynamics of stretchable rods in the inertial case. (English) Zbl 1138.74357 Nonlinear Dyn. 43, No. 1-2, 173-195 (2006). MSC: 74K10 74H55 PDFBibTeX XMLCite \textit{S. Lafortune} et al., Nonlinear Dyn. 43, No. 1--2, 173--195 (2006; Zbl 1138.74357) Full Text: DOI
Lauderdale, Todd A.; O’Reilly, Oliver M. On transverse and rotational symmetries in elastic rods. (English) Zbl 1090.74032 J. Elasticity 82, No. 1, 31-47 (2006). MSC: 74K10 15A72 PDFBibTeX XMLCite \textit{T. A. Lauderdale} and \textit{O. M. O'Reilly}, J. Elasticity 82, No. 1, 31--47 (2006; Zbl 1090.74032) Full Text: DOI
Healey, T. J.; Mehta, P. G. Straightforward computation of spatial equilibria of geometrically exact Cosserat rods. (English) Zbl 1081.74026 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 949-965 (2005). MSC: 74K10 74S30 74G60 PDFBibTeX XMLCite \textit{T. J. Healey} and \textit{P. G. Mehta}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 949--965 (2005; Zbl 1081.74026) Full Text: DOI
Domokos, G.; Healey, T. J. Multiple helical perversions of finite, intristically curved rods. (English) Zbl 1140.74472 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 871-890 (2005). MSC: 74K10 PDFBibTeX XMLCite \textit{G. Domokos} and \textit{T. J. Healey}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 871--890 (2005; Zbl 1140.74472) Full Text: DOI
Goyal, S.; Perkins, N. C.; Lee, C. L. Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables. (English) Zbl 1329.74154 J. Comput. Phys. 209, No. 1, 371-389 (2005). MSC: 74K10 74H99 92C40 92D10 PDFBibTeX XMLCite \textit{S. Goyal} et al., J. Comput. Phys. 209, No. 1, 371--389 (2005; Zbl 1329.74154) Full Text: DOI
Chouaieb, Nadia; Maddocks, John H. Kirchhoff’s problem of helical equilibria of uniform rods. (English) Zbl 1071.74031 J. Elasticity 77, No. 3, 221-247 (2004). MSC: 74K10 74G65 PDFBibTeX XMLCite \textit{N. Chouaieb} and \textit{J. H. Maddocks}, J. Elasticity 77, No. 3, 221--247 (2004; Zbl 1071.74031) Full Text: DOI
Wohlever, J. C. Some computational aspects of a group theoretic finite element approach to the buckling and postbuckling analyses of plates and shells of revolution. (English) Zbl 0953.74068 Comput. Methods Appl. Mech. Eng. 170, No. 3-4, 373-406 (1999). MSC: 74S05 74G60 74K25 74K20 PDFBibTeX XMLCite \textit{J. C. Wohlever}, Comput. Methods Appl. Mech. Eng. 170, No. 3--4, 373--406 (1999; Zbl 0953.74068) Full Text: DOI
Wohlever, J. C.; Healey, T. J. A group theoretic approach to the global bifurcation analysis of an axially compressed cylindrical shell. (English) Zbl 0851.73019 Comput. Methods Appl. Mech. Eng. 122, No. 3-4, 315-349 (1995). MSC: 74G60 74K15 PDFBibTeX XMLCite \textit{J. C. Wohlever} and \textit{T. J. Healey}, Comput. Methods Appl. Mech. Eng. 122, No. 3--4, 315--349 (1995; Zbl 0851.73019) Full Text: DOI
Ikeda, Kiyohiro; Murota, Kazuo Bifurcation analysis of symmetric structures using block-diagonalization. (English) Zbl 0764.73100 Comput. Methods Appl. Mech. Eng. 86, No. 2, 215-243 (1991). MSC: 74S30 74K10 74G99 74H99 PDFBibTeX XMLCite \textit{K. Ikeda} and \textit{K. Murota}, Comput. Methods Appl. Mech. Eng. 86, No. 2, 215--243 (1991; Zbl 0764.73100) Full Text: DOI
Healey, Timothy J. A group-theoretic approach to computational bifurcation problems with symmetry. (English) Zbl 0668.73041 Comput. Methods Appl. Mech. Eng. 67, No. 3, 257-295 (1988). Reviewer: U.Langer MSC: 74G60 74Kxx 74A99 58E07 PDFBibTeX XMLCite \textit{T. J. Healey}, Comput. Methods Appl. Mech. Eng. 67, No. 3, 257--295 (1988; Zbl 0668.73041) Full Text: DOI