VARIATIONAL THEORY OF MOTION OF CURVED, TWISTED AND EXTENSIBLE ELASTIC RODS

Authors
TADJBAKHSH IG LAGOUDAS DC
Citation
Ig. Tadjbakhsh et Dc. Lagoudas, VARIATIONAL THEORY OF MOTION OF CURVED, TWISTED AND EXTENSIBLE ELASTIC RODS, International journal of engineering science, 32(4), 1994, pp. 569-577
Citations number
14
Categorie Soggetti
Engineering
Journal title
International journal of engineering science → ACNP
ISSN journal
00207225
Volume
32
Issue
4
Year of publication
1994
Pages
569 - 577
Database
ISI
SICI code
0020-7225(1994)32:4<569:VTOMOC>2.0.ZU;2-Z
Abstract
The variational theory of 3-D motions of curved twisted and extensible elastic rods is obtained based entirely on the kinematical variables of position and rotations. The constitutive relations that define the resistive couples and the axial force as gradients of the strain energ y function are established. A candidate for the strain energy function , derived on the basis of classical assumptions, is presented.