𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The finite deformation theory for beam, plate and shell. Part IV. The Fe formulation of Mindlin plate and shell based on Green–Lagrangian strain

✍ Scribed by Mingrui Li; Fuliang Zhan

Book ID
108390981
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
430 KB
Volume
182
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

📜 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
✍ Mingrui Li 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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 of beam, plate an
The finite deformation of beam, plate and shell structures part II. The kinematic model and the Green-Lagrangian strains
✍ Mingrui Li 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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

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
✍ Mingrui Li; Fuliang Zhan 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 411 KB

Due to the facts that the spatial moment force is non-conservative and the three components of the ®nite 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 theory for beam,
The finite deformation theory for beam, plate and shell Part I. The two-dimensional beam theory
✍ Mingrui Li 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 784 KB

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

Rigid body concept for geometric nonline
Rigid body concept for geometric nonlinear analysis of 3D frames, plates and shells based on the updated Lagrangian formulation
✍ Y.B. Yang; S.P. Lin; C.S. Chen 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 547 KB

In the nonlinear analysis of elastic structures, the displacement increments generated at each incremental step can be decomposed into two components as the rigid displacements and natural deformations. Based on the updated Lagrangian (UL) formulation, the geometric stiffness matrix [k g ] is derive