Journal ArticleDOI
Natural description of large inelastic deformations for shells of arbitrary shape-application of trump element
TLDR
In this paper, an extension of the range of application of the simple triangular shell element evolved in [1] to the domain of large inelastic deformations is presented, based on ideas of physical lumping which contain a simple mechanical interpretation.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1980-06-01. It has received 34 citations till now. The article focuses on the topics: Finite element method & Virtual work.read more
Citations
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Journal ArticleDOI
A quadratically convergent procedure for the calculation of stability points in finite element analysis
TL;DR: In this article, a new finite element formulation is given for the analysis of nonlinear stability problems, and the use of the directional derivative yields a quadratically convergent iteration scheme.
Journal ArticleDOI
A formulation of the MITC4 shell element for finite strain elasto-plastic analysis
TL;DR: In this paper, a finite strain elasto-plastic formulation for the MITC4 shell element is developed based on Lee's multiplicative decomposition of the deformation gradient and on the hyperelastic expression of Von Mises flow rule expressed in terms of Hencky's strain tensor.
Journal ArticleDOI
An analysis of metal forming processes using large deformation elastic-plastic formulations
Cheng Jung-Ho,Kikuchi Noboru +1 more
TL;DR: In this article, a concise survey of the literature related to the large deformation elasto-plasticity problems including unilateral contact and friction is presented together with an extension of the friction law for large deformability analysis.
Journal ArticleDOI
Advances of thin shell finite elements and some applications—version I
TL;DR: In this paper, a review of the advances of the formulations for thin shell finite elements in the form of flat plates, axisymmetrical shells, and curved shells is presented, and the Discrete Kirchhoff Theory shell elements and the degenerated shell elements are discussed.
Journal ArticleDOI
Numerical formulations of elasto-viscoplastic response of beams accounting for the effect of shear
TL;DR: In this article, the authors considered the finite deformation, elasto-viscoplastic response of beams from a numerical point of view, and extended the formulation in terms of stress resultants to include viscoplastic material response by introducing rate equations for the evolution of the finite inelastic deformations.
References
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Book
Energy theorems and structural analysis
TL;DR: In this paper, a generalized theory of the most important energy principles in structural analysis is presented, which derive from two basic complementary theorems denoted as the principles of virtual displacements and virtual forces.
Journal ArticleDOI
Solution techniques for non-linear finite element problems
TL;DR: In this paper, a classification of mathematical commonly encountered in connection with solution of non-linear finite element problems is presented, and the principal methods for numerical solution of the nonlinear equations are surveyed and discussed.