Shearlocking free robust isoparametric threenode triangular element for general shells
Abstract
A shearlocking free isoparametric threenode triangular finite element suitable for both moderately thick and very thin shells is developed. Reissner and Mindlin theory that incorporates transverse shear deformation into the shell formulations is considered. The theory introduces five degrees of freedom, three translations and two rotations, at each node of the element. This isoparametricbased element is well known for its shearlocking effects in thin situations when a full or reduced integration scheme is used. These shearlocking effects are eliminated by imposing a constant transverse shear strain criterion and introducing a shear correction expression in the formulations. The element has shown a robustness in all types of triangular mesh configurations. The numerical results include convergence tests for transverse displacement and moment for shells of rectangular planform for moderately thick and very thin situations. These numerical results are compared with the recently available analytical solutions for moderatelythick and thin shells and Reissner and Mindlin theorybased finite element solutions.
 Publication:

Computers and Structures
 Pub Date:
 May 1994
 Bibcode:
 1994CoStr..51..425K
 Keywords:

 Finite Element Method;
 Isoparametric Finite Elements;
 Robustness (Mathematics);
 Shear Stress;
 Stress Analysis;
 Structural Analysis;
 Thin Walled Shells;
 Triangulation;
 Convergence;
 Degrees Of Freedom;
 Elastic Bending;
 Mathematical Models;
 Rotational States;
 Thickness;
 Translational Motion;
 Structural Mechanics