๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The finite deformation theory for beam, plate and shell Part I. The two-dimensional beam theory

โœ Scribed by Mingrui Li

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
784 KB
Volume
146
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

โœฆ Synopsis

A finite deformation theory is proposed that can describe precisely, the nonlinear geometric behavior of a two-dimensional beam structure. Unlike the existing nonlinear theories, this theory does away with simplifications such as the assumptions of small displacement, small normal or shearing strain, small rotation, as well as small loading step. The finite element method and its formulation of this theory are deduced. Numerical examples performed by the theory proved it valid and computed results obtained by the theory are independent of loading steps.

๐Ÿ“œ SIMILAR VOLUMES

The finite deformation theory for beam,
The finite deformation theory for beam, plate and shell part III. The three-dimensional beam theory and the FE formulation
โœ Mingrui Li ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 941 KB

A finite deformation model based on the Timoshenko beam theory is proposed for the three dimensional beam structures. The exact Green-Lagrangian strains are derived. The Finite Element formulation and the corresponding algorithm are presented for the model. Numerical examples are given to illustrate

The finite deformation theory for beam,
The finite deformation theory for beam, plate and shell. Part V. The shell element with drilling degree of freedom based on Biot strain
โœ Mingrui Li; Fuliang Zhan ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 411 KB

Due to the facts that the spatial moment force is non-conservative and the three components of the ยฎnite rotation pseudo vector are not independent, the ordinary variational principle, based on a functional achieving its stationary value, is not suitable for the problem subject to non-conservative l

The finite deformation of beam, plate an
The finite deformation of beam, plate and shell structures part II. The kinematic model and the Green-Lagrangian strains
โœ Mingrui Li ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 705 KB

Based on the kinematic property of the beam, plate and shell structures under finite deformation, we propose that the mechanical model of a rigid line segment is suitable to describe the finite deformation of the structures. Using this model and the finite rotation matrix, the complete forms of the

UNIFIED FINITE ELEMENTS BASED ON THE CLA
UNIFIED FINITE ELEMENTS BASED ON THE CLASSICAL AND SHEAR DEFORMATION THEORIES OF BEAMS AND AXISYMMETRIC CIRCULAR PLATES
โœ REDDY, J. N. ;WANG, C. M. ;LAM, K. Y. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 180 KB ๐Ÿ‘ 2 views

In this paper a uniยฎed ยฎnite element model that contains the EulerยฑBernoulli, Timoshenko and simpliยฎed Reddy third-order beam theories as special cases is presented. The element has only four degrees of freedom, namely deยฏection and rotation at each of its two nodes. Depending on the choice of the e