caa a22 4500 469085088 CHVBK 20180323133002.0 cr unu---uuuuu 170328e19920201xx s 000 0 eng 10.1007/BF00041647 doi (NATIONALLICENCE)springer-10.1007/BF00041647 Ting T. Department of Civil Engineering, Mechanics and Metallurgy, University of Illinois at Chicago, Box 4348, 60680, Chicago, Illinois, USA aut Barnett-Lothe tensors and their associated tensors for monoclinic materials with the symmetry plane at x 3=0 [Elektronische Daten] [T. Ting] The three Barnett-Lothe tensors S, H, L and the three associated tensors S(θ), H(θ), L(θ) appear frequently in the real form solutions to two-dimensional anisotropic elasticity problems. Explicit expressions of the components of these tensors are derived and presented for monoclinic materials whose plane of material symmetry is at x 3=0. We use the algebraic formalism for these tensors but the results are derived not by the straight-forward substitution of the complex matrices A and B into the formulae. Instead, we find the product −AB -1, whose real and imaginary parts are SL -1 and L -1, respectively. The tensors S, H, L are then determined from SL -1 and L -1. For S(θ), H(θ), L(θ) we again avoid the direct substitution by employing an alternate approach. The new approaches require minimal algebra and, at the same time, provide simple and concise expressions for the components of these tensors. Although the new approaches can be extended, in principle, to monoclinic materials whose plane of symmetry is not at x 3=0 and to materials of general anisotropy, the explicit expressions for these materials are too complicated. More studies are needed for these materials. Kluwer Academic Publishers, 1992 Journal of Elasticity Kluwer Academic Publishers 27/2(1992-02-01), 143-165 0374-3535 27:2<143 1992 27 10659 https://doi.org/10.1007/BF00041647 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00041647 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ting T. Department of Civil Engineering, Mechanics and Metallurgy, University of Illinois at Chicago, Box 4348, 60680, Chicago, Illinois, USA aut NATIONALLICENCE 773 0- Journal of Elasticity Kluwer Academic Publishers 27/2(1992-02-01), 143-165 0374-3535 27:2<143 1992 27 10659 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer