On transformations of generalised coordinates as symmetry transformations
Article
Received:
- 37 Downloads
- 1 Citations
Abstract
We determine transformations of generalised coordinates which can be used as symmetry transformations for simple materials. We also find the general forms of the constitutive equation for isotropic and fluid shells.
Keywords
Constitutive Equation Symmetry Transformation Simple Material Fluid Shell
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- [1]S.A. Adeleke, On material symmetry in Mechanics. Int. J. Solids Structures 16 (1980) 199.Google Scholar
- [2]S.A. Adeleke, On Symmetry of shells (forthcoming).Google Scholar
- [3]C. Truesdell, A First Course in Rational Continuum Mechanics, Vol. I–III. Academic Press, New York (1977).Google Scholar
- [4]M.M. Carroll and P.M. Naghdi, The influence of the reference geometry on the response of elastic shells. Arch. Rat. Mech. Anal. 48 (1972) 302.Google Scholar
- [5]P.M. Naghdi, The Theory of Shells, Handbuch der Physik, Vol. VIa/2, 425 (edited by C. Truesdell), Springer-Verlag, Berlin (1972).Google Scholar
- [6]J.T. Jenkins, The equation of mechanical equilibrium of a model membrane. SIAM J. Appl. Math. 32 (1977) 755.Google Scholar
- [7]A.S. Wineman and A.C. Pipkin, Material symmetry restrictions on Constitutive equations. Arch. Rat. Mech. Anal. 17 (1964) 184.Google Scholar
- [8]C. Eringen, Continuum Physics, Vol. I and II. Academic Press, New York (1971).Google Scholar
- [9]G.F. Smith and R.S. Rivlin, The anisotropic tensors. Quart. Appl. math. 15 (1957) 308.Google Scholar
- [10]W. Helfrich, Elastic properties of liquid bilayers: Theory and possible experiments. Z. Naturforsch 28c (1973) 693.Google Scholar
Copyright information
© Martinus Nijhoff Publishers 1984