Saint-Venant's Principle For A Micropolar Helical Body

Author

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

Abstract

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.

Recommended Citation

R. C. Batra, "Saint-Venant's Principle For A Micropolar Helical Body," Acta Mechanica, vol. 42, no. 1 thru 2, pp. 99 - 109, Springer, Mar 1982.

The definitive version is available at https://doi.org/10.1007/BF01176516

Department(s)

Mechanical and Aerospace Engineering

International Standard Serial Number (ISSN)

1619-6937; 0001-5970

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Springer, All rights reserved.

Publication Date

01 Mar 1982