𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On transformations of generalised coordinates as symmetry transformations

✍ Scribed by S. A. Adeleke


Publisher
Springer Netherlands
Year
1984
Tongue
English
Weight
622 KB
Volume
14
Category
Article
ISSN
0374-3535

No coin nor oath required. For personal study only.

✦ Synopsis


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. * Cf Vol.III of [3], Chap XV, Β§2 were we take h = (F, O) and O(X, t) = O0, a constant. ** Composition of maps is read from fight to left. * We shall use square and round brackets interchangeably for more clarity of expression. * This is due to Cauchy. ** Cf [2]. *** Here, A s = Β½(A + AT). * This is because if S does not work, we can change it to SD by the last statement. ** The c's are non-zero from physical considerations.


πŸ“œ SIMILAR VOLUMES


Symmetries and form-preserving transform
✍ Christodoulos Sophocleous πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 234 KB

We consider the variable coe cient inhomogeneous nonlinear di usion equations of the form f(x)ut =[g(x)u n ux] x . We present a complete classiΓΏcation of Lie symmetries and form-preserving point transformations in the case where f(x) = 1 which is equivalent to the original equation. We also introduc