𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Computing finite rotations of shells by an asymptotic-numerical method

✍ Scribed by H. Zahrouni; B. Cochelin; M. Potier-Ferry

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
982 KB
Volume
175
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis

We present an asymptotic numerical algorithm for the computation of elastic shells with large rotations. The theoretical formulation involves a three-field Hu-Washizu functional, which allows us to put the problem into a quadratic framework. The spatial discretization is based on geometrically exact element, recently presented by Biichter et al. [Biichter et al., Three dimensional extension of non-linear shell formulation based on the enhanced assumed strain concept, Int. J. Numer. Methods Engrg. 37 (1994Engrg. 37 ( ) 2551Engrg. 37 ( -1568] ] Several classical benchmarks are discussed to define the best strategy and to assess the validity and the efficie, ncy of the present method, as compared to more classical iterative algorithms.

πŸ“œ SIMILAR VOLUMES

Numerical computation of electron lenses
Numerical computation of electron lenses by the finite element method
✍ Bohumila LencovΓ‘ πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 498 KB

The computation of the vector potential distribution in rotationally-symmetric electron lenses can be made with the help og the finite element method. It handles effectively both the complicated geometry of the circuit and the magnetic saturation effects. The paper describes the calculation of the e

Modelization and numerical approximation
Modelization and numerical approximation of piezoelectric thin shells: Part II: Approximation by finite element methods and numerical experiments
✍ Michel Bernadou; Christophe Haenel πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 1001 KB

A two-dimensional modelization of piezoelectric thin shells has been developed in the first part of this work. Three equivalent variational formulations have been considered: β€’ an homogeneous one (with respect to the potential) the bilinear form of which is positive definite but not symmetric; β€’ t

Numerical computation of dynamic stress
Numerical computation of dynamic stress intensity factors by a Lagrangian finite-difference method (the HEMP code)
✍ Y.M. Chen πŸ“‚ Article πŸ“… 1975 πŸ› Elsevier Science 🌐 English βš– 584 KB

Ah&r&%-Numerical computation of the dynamic stress intensity factor for a centrally cracked rectangular bar, subjected to uniaxial tensions in plane strain geometry with Heaviside-function time dependence, is carried out using the time-dependent Lagrangian finite-diicrencc code, HEMP. Excellent qrae