Ja. Alvarezdios et Jm. Viano, AN ASYMPTOTIC GENERAL-MODEL FOR LINEAR ELASTIC HOMOGENEOUS ANISOTROPIC RODS, International journal for numerical methods in engineering, 36(18), 1993, pp. 3067-3095
This paper covers the mathematical justification and generalization of
classical anisotropic rod theories using asymptotic analysis as the a
rea of the cross-section tends to zero in the three-dimensional elasti
city model after a rescaling in the unknowns and data, together with c
onvergence results.