Approximate Displacements of Exact Membrane Actions in a Shell Triangular Element
- 1 November 1983
- journal article
- research article
- Published by Cambridge University Press (CUP) in Aeronautical Quarterly
- Vol. 34 (4), 282-302
- https://doi.org/10.1017/s0001925900009781
Abstract
Exact stress functions which satisfy the homogeneous differential equations of equilibrium for membrane actions are available from the static geometric analogue of previously derived exact displacements of inextensional bending. For finite element evaluation it is necessary to know the displacements (and rotations) caused by these membrane actions. A method of calculating approximate displacements is described which uses the principle of minimum potential energy. Results are given for specimen triangular elements with positive, zero and negative Gaussian curvatures. A listing is appended of a Fortran computer program which allows calculation of these approximate displacements, rotations and other physical quantities for other element shapes.This publication has 3 references indexed in Scilit:
- Study of trial functions in shell triangular finite elements of quadratic parametric representationComputer Methods in Applied Mechanics and Engineering, 1983
- Fortran computer program for inextensional bending of a doubly curved shell triangular elementInternational Journal for Numerical Methods in Engineering, 1983
- Inextensional bending of a shell triangular element in quadratic parametric representationInternational Journal of Solids and Structures, 1982