On reduced integration and locking of flat shell finite elements with drilling rotations

2002 ◽  
Vol 19 (2) ◽  
pp. 85-97 ◽  
Author(s):  
Sannelie Geyer ◽  
Albert A. Groenwold
Keyword(s):  
Finite Elements ◽  
Reduced Integration ◽  
Flat Shell

A CRITICAL EVALUATION OF VARIOUS NONLINEAR BEAM FINITE ELEMENTS

2012 ◽  
Vol 09 (04) ◽  
pp. 1250045
Author(s):  
A. LAULUSA ◽  
J. N. REDDY
Keyword(s):  
Finite Elements ◽  
Stiffness Matrix ◽  
Degrees Of Freedom ◽  
Critical Evaluation ◽  
Quadrature Rules ◽  
Nonlinear Beam ◽  
Lagrange Polynomials ◽  
Reduced Integration ◽  
Uniform Interpolation

The characteristics of interdependent interpolation and mixed interpolation nonlinear beam finite elements are investigated in comparison with the equal-order interpolation element with uniform reduced integration. The stiffness matrix of the 3-noded and 4-noded equal order interpolation elements is identical to that of the 2-noded interdependent interpolation element if the internal nodal degrees-of-freedom are eliminated. The extension of the latter to include nonlinear kinematics by approximating the extensional displacement and the twist rotation with quadratic and cubic Lagrange polynomials yields unsatisfactory results. The 2-noded, 3-noded, and 4-noded mixed interpolation elements using one-, two-, and three-point quadrature rules, respectively, are shown to be equivalent to the corresponding uniform interpolation elements employing the same quadrature rules. The equivalence is established in the framework of nonlinear kinematics and anisotropic couplings.

scholarly journals Reduced integration‐based solid and solid‐shell finite elements for gradient‐extended damage

PAMM ◽  
2021 ◽  
Vol 21 (1) ◽  
Author(s):  
Oliver Barfusz ◽  
Tim van der Velden ◽  
Tim Brepols ◽  
Stefanie Reese
Keyword(s):  
Finite Elements ◽  
Solid Shell ◽  
Reduced Integration
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