Abstract
The problems of optimal material orientation are studied in the case of orthotropic elastic materials. It is assumed that the stress-strain relation (material behavior) is nonlinear and can be described by a transcendental relation including a logarithmic function. The orientation of the material is established from the condition that the elastic energy density attains its maximal (or minimal) value.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. Malmeister, V. Tamuzs, and G. Teters, Strength of Polymer and Composite Materials [in Russian], Zinatne, Riga (1980).
P. Pedersen and J. E. Taylor, “Optimal design based on power law nonlinear elasticity,” in: P. Pedersen (ed.), Optimal Design with Advanced Materials. Elsevier, Amsterdam (1993), pp. 51–66.
J. Lellep and J. Majak, “Optimal material orientation of nonlinear elastic orthotropic materials,” Struct. Optim.,14, No. 2-3, 116–120 (1997).
S. G. Lekhnitski, Theory of Elasticity of an Anisotropic Elastic Body, Holden Day, San Francisco (1963).
R. Jones, Mechanics of Composite Materials, McGraw-Hill, New York, (1975).
P. Pedersen Advanced Composite Materials. Lecture course, DTU, Denmark (1992).
S. P. Demidov, Theory of Elasticity [in Russian], Moscow (1979).
P. Pedersen, “On thickness and orientational design with orthotropic materials,” Struct. Optim.,3, No. 2, 69–78 (1991).
P. Pedersen, “On optimal orientation of orthotropic materials,” Struct. Optim.,1, No. 2, 101–106 (1989).
Additional information
Tartu University, Estonia. Translated from Mekhanika Kompozitnykh Materialov, Vol. 35, No. 3, pp. 335–346, May–June, 1999.
Rights and permissions
About this article
Cite this article
Lellep, J., Majak, J. Optimal material orientation of nonlinear orthotropic materials. Mech Compos Mater 35, 233–240 (1999). https://doi.org/10.1007/BF02257254
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02257254