Integral formulas in symmetric and asymmetric elasticity / V. I. Gorbachev. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. № 6. P. 52-56 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 148-151].

Some new integral representations of the solutions to the problems of the moment and nonmoment elasticity theories for nonhomogeneous bodies are obtained using the solutions to the same problems for homogeneous ones. In particular, these integral representations can be used to substantiate the homogenization procedures for composite mechanics problems.

Key words: elasticity, composite, integral formulas, moment theories, homogenization.