, Volume 36, Issue 2, pp 135-172

Development of analytical methods in three-dimensional problems of the statics of anisotropic bodies (Review)

Abstract

The main results of scientific research carried out at the S. P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine in the field of three-dimensional problems of the statics of anisotropic bodies are stated in a systematic form. The results include the structural method of constructing the exact analytical solutions of equations of the elastic and thermoelastic equilibrium of rectilinearly orthotropic bodies and approximate analytical methods of solving three-dimensional boundary-value problems for curvilinearly orthotropic bodies of canonical and noncanonical form. Results of solution of specific boundary-value problems for orthotropic and transversally isotropic bodies are analyzed.

S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 36, No. 2, pp. 3–38, February, 2000.