Epstein, Marcelo Hilbert bundles as quantum-classical continua. (English) Zbl 1503.81015 Math. Mech. Solids 25, No. 6, 1312-1317 (2020). MSC: 81P68 15A66 81Q10 74A05 55R10 32L05 53Z05 PDFBibTeX XMLCite \textit{M. Epstein}, Math. Mech. Solids 25, No. 6, 1312--1317 (2020; Zbl 1503.81015) Full Text: DOI arXiv
Auffray, N.; Kolev, B.; Olive, M. Handbook of bi-dimensional tensors: part I: Harmonic decomposition and symmetry classes. (English) Zbl 1391.74020 Math. Mech. Solids 22, No. 9, 1847-1865 (2017). MSC: 74B05 74E10 15A72 PDFBibTeX XMLCite \textit{N. Auffray} et al., Math. Mech. Solids 22, No. 9, 1847--1865 (2017; Zbl 1391.74020) Full Text: DOI HAL
Federico, Salvatore; Grillo, Alfio; Imatani, Shoji The linear elasticity tensor of incompressible materials. (English) Zbl 1327.74024 Math. Mech. Solids 20, No. 6, 643-662 (2015). MSC: 74B05 74E10 15A72 PDFBibTeX XMLCite \textit{S. Federico} et al., Math. Mech. Solids 20, No. 6, 643--662 (2015; Zbl 1327.74024) Full Text: DOI
Auffray, N. On the algebraic structure of isotropic generalized elasticity theories. (English) Zbl 1327.74037 Math. Mech. Solids 20, No. 5, 565-581 (2015). MSC: 74B99 15A72 PDFBibTeX XMLCite \textit{N. Auffray}, Math. Mech. Solids 20, No. 5, 565--581 (2015; Zbl 1327.74037) Full Text: DOI arXiv
Lehmich, Stephan; Neff, Patrizio; Lankeit, Johannes On the convexity of the function \(C \mapsto f(\det C)\) on positive-definite matrices. (English) Zbl 1361.74009 Math. Mech. Solids 19, No. 4, 369-375 (2014). MSC: 74B20 74A20 15A45 26B25 PDFBibTeX XMLCite \textit{S. Lehmich} et al., Math. Mech. Solids 19, No. 4, 369--375 (2014; Zbl 1361.74009) Full Text: DOI arXiv
Holopainen, Sami Representations of \(m\)-linear functions on tensor spaces: Duals and transpositions with applications in continuum mechanics. (English) Zbl 1365.74022 Math. Mech. Solids 19, No. 2, 168-192 (2014). MSC: 74A99 15A72 PDFBibTeX XMLCite \textit{S. Holopainen}, Math. Mech. Solids 19, No. 2, 168--192 (2014; Zbl 1365.74022) Full Text: DOI
Warne, Debra Polignone; Warne, Paul G. Must tensor addition be among same-order tensors? (English) Zbl 1269.15028 Math. Mech. Solids 16, No. 7, 769-777 (2011). MSC: 15A72 15B33 PDFBibTeX XMLCite \textit{D. P. Warne} and \textit{P. G. Warne}, Math. Mech. Solids 16, No. 7, 769--777 (2011; Zbl 1269.15028) Full Text: DOI
Wheeler, Lewis T.; Casey, James Fréchet differentiation of the stretch and rotation tensors. (English) Zbl 1269.74007 Math. Mech. Solids 16, No. 7, 753-768 (2011). MSC: 74A05 15A72 PDFBibTeX XMLCite \textit{L. T. Wheeler} and \textit{J. Casey}, Math. Mech. Solids 16, No. 7, 753--768 (2011; Zbl 1269.74007) Full Text: DOI
Cowin, Stephen C. The representation of the linear elastic symmetries by sets of vectors. (English) Zbl 1269.74015 Math. Mech. Solids 16, No. 6, 615-624 (2011). MSC: 74B05 15A72 PDFBibTeX XMLCite \textit{S. C. Cowin}, Math. Mech. Solids 16, No. 6, 615--624 (2011; Zbl 1269.74015) Full Text: DOI
Federico, Salvatore Erratum to: “Volumetric-distortional decomposition of deformation and elasticity tensor”. (English) Zbl 1269.74022 Math. Mech. Solids 16, No. 2, 248-249 (2011). MSC: 74B20 15A72 PDFBibTeX XMLCite \textit{S. Federico}, Math. Mech. Solids 16, No. 2, 248--249 (2011; Zbl 1269.74022) Full Text: DOI
Norris, A. N. Euler-Rodrigues and Cayley Formulae for rotation of elasticity tensors. (English) Zbl 1175.74014 Math. Mech. Solids 13, No. 6, 465-498 (2008). MSC: 74B05 15A72 PDFBibTeX XMLCite \textit{A. N. Norris}, Math. Mech. Solids 13, No. 6, 465--498 (2008; Zbl 1175.74014) Full Text: DOI arXiv
Forte, Sandra; Vianello, Maurizio Restricted invariants on the space of elasticity tensors. (English) Zbl 1092.74004 Math. Mech. Solids 11, No. 1, 48-82 (2006). MSC: 74B05 74E10 15A72 PDFBibTeX XMLCite \textit{S. Forte} and \textit{M. Vianello}, Math. Mech. Solids 11, No. 1, 48--82 (2006; Zbl 1092.74004) Full Text: DOI
Chen, Yi-Chao; Dui, Guansuo The derivative of isotropic tensor functions, elastic moduli and stress rate: I. Eigenvalue formulation. (English) Zbl 1066.74011 Math. Mech. Solids 9, No. 5, 493-511 (2004). MSC: 74B20 15A72 PDFBibTeX XMLCite \textit{Y.-C. Chen} and \textit{G. Dui}, Math. Mech. Solids 9, No. 5, 493--511 (2004; Zbl 1066.74011) 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
Zou, W.-N.; Zheng, Q.-S.; Du, D.-X.; Rychlewski, J. Orthogonal irreducible decompositions of tensors of high orders. (English) Zbl 1028.74007 Math. Mech. Solids 6, No. 3, 249-267 (2001). MSC: 74A99 15A72 PDFBibTeX XMLCite \textit{W. N. Zou} et al., Math. Mech. Solids 6, No. 3, 249--267 (2001; Zbl 1028.74007) Full Text: DOI
Lu, Jia; Papadopoulos, Panayiotis On the direct determination of the rotation tensor from the deformation gradient. (English) Zbl 1001.74501 Math. Mech. Solids 2, No. 1, 17-26 (1997). MSC: 74A05 15A72 PDFBibTeX XMLCite \textit{J. Lu} and \textit{P. Papadopoulos}, Math. Mech. Solids 2, No. 1, 17--26 (1997; Zbl 1001.74501) Full Text: DOI
Lagzdinņš, A.; Tamužs, V. Tensorial representation of the orientation distribution function of internal structure elements for heterogeneous solids. (English) Zbl 1001.74542 Math. Mech. Solids 1, No. 2, 193-205 (1996). MSC: 74E05 15A72 PDFBibTeX XMLCite \textit{A. Lagzdinņš} and \textit{V. Tamužs}, Math. Mech. Solids 1, No. 2, 193--205 (1996; Zbl 1001.74542) Full Text: DOI
Scheidler, Michael Smoothness of the scalar coefficients in representations of isotropic tensor-valued functions. (English) Zbl 1001.15501 Math. Mech. Solids 1, No. 1, 73-93 (1996). MSC: 15A90 74A99 PDFBibTeX XMLCite \textit{M. Scheidler}, Math. Mech. Solids 1, No. 1, 73--93 (1996; Zbl 1001.15501) Full Text: DOI