A three-dimensional finite-strain rod model. Part II: Computational aspects

JC Simo, L Vu-Quoc - Computer methods in applied mechanics and …, 1986 - Elsevier
The variational formulation and computational aspects of a three-dimensional finite-strain
rod model, considered in Part I, are presented. A particular parametrization is employed that …

Stress projection for membrane and shear locking in shell finite elements

T Belytschko, H Stolarski, WK Liu, N Carpenter… - Computer Methods in …, 1985 - Elsevier
The motivation for the research reviewed in this paper was provided by studies such as
indicated in Fig. l (a) which show some results obtained with the widely used 9-node …

On the variational foundations of assumed strain methods

JC Simo, TJR Hughes - 1986 - asmedigitalcollection.asme.org
So-called assumed strain methods are based on the a-priori assumption of an interpolation
for the discrete gradient operator, not necessarily derivable from the displacement …

Developments of Mindlin‐Reissner plate elements

S Cen, Y Shang - Mathematical Problems in Engineering, 2015 - Wiley Online Library
Since 1960s, how to develop high‐performance plate bending finite elements based on
different plate theories has attracted a great deal of attention from finite element researchers …

Finite rotation analysis and consistent linearization using projectors

B Nour-Omid, CC Rankin - Computer Methods in Applied Mechanics and …, 1991 - Elsevier
A systematic procedure is presented that may be used to extend the capabilities of an
existing linear finite element to accomodate finite rotation analysis. This procedure is a …

A three-node Mindlin plate element with improved transverse shear

A Tessler, TJR Hughes - Computer Methods in Applied Mechanics and …, 1985 - Elsevier
A displacement methodology for Mindlin elements, recently employed in the development of
an efficient, four-node quadrilateral (MIN4), is the basis for a three-node, explicitly integrated …

A discrete shear triangular nine dof element for the analysis of thick to very thin plates

JL Batoz, P Lardeur - International journal for numerical …, 1989 - Wiley Online Library
This paper deals with the formulation and the evaluation of a new three node, nine dof
triangular plate bending element valid for the analysis of thick to thin plates. The formulation …

Advances in one-point quadrature shell elements

T Belytschko, BL Wong, HY Chiang - Computer Methods in Applied …, 1992 - Elsevier
A one-point quadrature element is developed for shells which overcomes two drawbacks of
a similar element developed previously by the senior author and co-workers. The kinematics …

A multiple-quadrature eight-node hexahedral finite element for large deformation elastoplastic analysis

WK Liu, Y Guo, S Tang, T Belytschko - Computer Methods in Applied …, 1998 - Elsevier
A multiple-quadrature underintegrated hexahedral finite element, which is free of volumetric
and shear locking, and has no spurious singular modes, is described and implemented for …

[HTML][HTML] Simulations of textile composite reinforcement draping using a new semi-discrete three node finite element

N Hamila, P Boisse - Composites Part B: Engineering, 2008 - Elsevier
Continuous and discrete approaches for forming simulations of textile performs both involve
difficulties and drawbacks. The semi-discrete method is an alternative based on a meso …