Saint-Venant's Principle For A Micropolar Helical Body

R. C. Batra, Missouri University of Science and Technology


The analog of Toupin's version of Saint-Venant's principle is proved for an isotropic, linear elastic micropolar body of arbitrary length and of uniform cross-section which in the unstressed state is helical. That is, when such a body is loaded by self-equilibrated stresses and couple stresses at one end only, we show that the elastic strain energy stored in the part of the body beyond a certain distance from the loaded end, decreases exponentially with the distance. © 1982 Springer-Verlag.