Abstract
In order to use an anisotropic material effectively it should be oriented optimally with respect to the actual strain condition. Orientations with extreme energy density are obtained for orthotropic materials. It is found that the optimal orientation depends on one non-dimensional material parameter only, plus the ratio of the two principal strains. Complete analytical results are derived, including local as well as global maxima and minima.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bendsøe, M.P.; Kikuchi, N. 1989: Generating optimal topologies in structural design using a homogenization method.Comput. Meth. Appl. Mech. Engng. (in press)
Jones, R.M. 1975:Mechanics of composite materials. New York: McGraw-Hill
Lekhnitskii, S.G. 1968:Anisotropic plates. London: Gordon & Breach
Pedersen, P. 1987: On sensitivity analysis and optimal design for laminates. In: Green and Micunovic (eds.)Mechanical behaviour of composites and laminates. Amsterdam: Elsevier
Tsai, S.W.; Pagano, N.J. 1968: Invariant properties of composite materials. In:Composite materials workshop. Technomic, Westport Com.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Pedersen, P. On optimal orientation of orthotropic materials. Structural Optimization 1, 101–106 (1989). https://doi.org/10.1007/BF01637666
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01637666