caa a22 4500 47579740X CHVBK 20180406123728.0 cr unu---uuuuu 170329e20000301xx s 000 0 eng 10.1007/s000330050195 doi (NATIONALLICENCE)springer-10.1007/s000330050195 A covariant constitutive description of anisotropic non-linear elasticity [Elektronische Daten] [J. Lu, P. Papadopoulos] Abstract.: This article addresses the role of covariance in the constitutive description of anisotropic non-linear elastic solids embedded in smooth manifolds. The covariant nature of material symmetry groups and associated structural tensors is discussed and an equivalence is established between covariance of strain energy functions inclusive of structural tensors and the respective anisotropic response. Also, necessary conditions for covariance of anisotropic strain energy functions and alternative representations of the stress response are derived. Birkhäuser Verlag, Basel,, 2000 Key words. Non-linear elasticity, anisotropy, covariance nationallicence Lu J. Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1740, USA, US aut Papadopoulos P. Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1740, USA, US aut https://doi.org/10.1007/s000330050195 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s000330050195 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lu J. Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1740, USA, US aut NATIONALLICENCE 700 1- Papadopoulos P. Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1740, USA, US aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer