A Unified Approach for Shear Locking Free Triangular and Rectangular Shell Finite Elements

2009 ◽  
Author(s):  
K.-U. Bletzinger ◽  
M. Bischoff
Keyword(s):  
Finite Elements ◽  
Shear Locking ◽  
Unified Approach ◽  
Rectangular Shell

A unified approach for shear-locking-free triangular and rectangular shell finite elements

2000 ◽  
Vol 75 (3) ◽  
pp. 321-334 ◽  
Author(s):  
Kai-Uwe Bletzinger ◽  
Manfred Bischoff ◽  
Ekkehard Ramm
Keyword(s):  
Finite Elements ◽  
Shear Locking ◽  
Unified Approach ◽  
Rectangular Shell

Analyse des structures avec joints à rigidité partielle: une approche unifiée

1990 ◽  
Vol 17 (5) ◽  
pp. 730-738
Author(s):  
Mario Fafard ◽  
André Picard ◽  
Denis Beaulieu
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Key Words ◽  
Numerical Technique ◽  
The Other ◽  
Matrix Stiffness ◽  
Unified Approach ◽  
The Matrix ◽  
Fixed End

In this paper, the authors are proposing a unified approach for the analysis of tridimensional structures with partial stiffness joints. The proposed approach allows for the quick modification of a software in order to take into account partial stiffness joints. After a review of the theory, we present two matrices to correct the fixed-end shear of flanges with partial stiffness joints. One of the matrix is concerned with bending, and the other deals with torsion. We also present two general cases of loading (bending and torsion) for the design of fixed-end shear and demonstrate how a tridimensional finite element can easily be modified to account for partial stiffness joints. We finally present a numerical technique that can generate equivalent nodal shear for situations where loads are partially distributed on one finite element of beam. Key words: analysis, joints, finite elements, software, matrix, stiffness, structure. [Journal translation]

Stress projection for membrane and shear locking in shell finite elements

1985 ◽  
Vol 51 (1-3) ◽  
pp. 221-258 ◽  
Author(s):  
Ted Belytschko ◽  
Henryk Stolarski ◽  
Wing Kam Liu ◽  
Nicholas Carpenter ◽  
Jame S.J. Ong
Keyword(s):  
Finite Elements ◽  
Shear Locking

scholarly journals Finite elements with continuous stress fields in calculation of folded prismatic thin-walled rods and shells

2018 ◽  
Vol 196 ◽  
pp. 01018
Author(s):  
Sergey Nazarenko ◽  
Nina Blokhina
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Degrees Of Freedom ◽  
High Efficiency ◽  
Stress Fields ◽  
Displacement Fields ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Shell Finite Element ◽  
Rectangular Shell

The article deals with methods of creating a rectangular wall-beam finite element with eight degrees of freedom per node and continuous stress fields along the boundaries. This effect is achieved by specifying displacement fields in the plane of the element in forms similar to those in finite elements of Bogner, Fox, and Schmitt plate. The article provides algebraic expressions for displacement forms; methods of forming reaction and stress matrices are also considered. Test calculations carried out with the help of “Computational mechanics” FEM complex have proved high efficiency of the finite element analysis performed. A rectangular shell finite element with twelve degrees of freedom per node was developed as a combination of membrane finite element and Bogner, Fox and Schmitt plate element.

Simple Tests as Critical Indicator of Intra-Ply Shear Locking

2013 ◽  
Vol 554-557 ◽  
pp. 512-520 ◽  
Author(s):  
D.J. Wolthuizen ◽  
R.H.W. Ten Thije ◽  
R. Akkerman
Keyword(s):  
Finite Elements ◽  
Single Element ◽  
Shear Locking ◽  
Displacement Fields ◽  
Shear Field ◽  
Pull Out ◽  
Forming Simulations ◽  
Piecewise Continuous ◽  
Bias Extension

Standard finite elements can exhibit the numerical artifact of intra-plyshear locking during forming simulations. The displacement fields of elementsare piecewise continuous and cannot correctly capturediscontinuities in the shear field. This shear locking is illustrated insimulations of bias-extension experiments with an unaligned mesh. Two simpletests were developed as a critical indicator of intra-ply shear locking intriangular elements. A single-element-test shows the origin of the locking anda pull-out test indicates locking caused by small misalignments of theelements.

TANGENTIAL-DISPLACEMENT AND NORMAL–NORMAL-STRESS CONTINUOUS MIXED FINITE ELEMENTS FOR ELASTICITY

2011 ◽  
Vol 21 (08) ◽  
pp. 1761-1782 ◽  
Author(s):  
ASTRID PECHSTEIN ◽  
JOACHIM SCHÖBERL
Keyword(s):  
Finite Elements ◽  
Normal Stress ◽  
Poisson Ratio ◽  
Mixed Finite Elements ◽  
Symmetric Tensor ◽  
Numerical Results ◽  
Tangential Displacement ◽  
Shear Locking ◽  
Thin Structures ◽  
Vector Valued

In this paper, we introduce new finite elements to approximate the Hellinger Reissner formulation of elasticity. The elements are the vector-valued tangential continuous Nédélec elements for the displacements, and symmetric tensor-valued, normal–normal continuous elements for the stresses. These elements do neither suffer from volume locking as the Poisson ratio approaches ½, nor suffer from shear locking when anisotropic elements are used for thin structures. We present the analysis of the new elements, discuss their implementation, and give numerical results.

Shear locking reduction in eight-noded tri-linear solid finite elements

2006 ◽  
Vol 84 (7) ◽  
pp. 476-484 ◽  
Author(s):  
Lars Olovsson ◽  
Kjell Simonsson ◽  
Mattias Unosson
Keyword(s):  
Finite Elements ◽  
Shear Locking ◽  
Solid Finite Elements
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