Integral Formulas in Symmetric and Asymmetric Elasticity / V.I. Gorbachev // Vestn. Mosk. Univ., Matem. Mekhan. 2009. № 6. P. 52-56 [Moscow Univ. Mech. Bulletin. Vol. 64, No 6, 2009. P. 148-151.]
Several new integral representations of the solutions to some problems of the moment and nonmoment theories of elasticity for heterogeneous bodies are proposed in terms of the solutions to the same problems for homogeneous bodies. In particular, these integral representations can be used to substantiate the homogenization procedure for composite mechanics problems.
Key words: elasticity, composite, integral formulas, moment theories, homogenization.