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

Solid-Shell Finite Elements in Shell Structural Problems: A Comparative Analysis

2009 ◽  
Author(s):  
M.P.L. Parente ◽  
A. Roque ◽  
R.A. Fontes Valente ◽  
R.M. Natal Jorge ◽  
R.J. Alves de Sousa ◽  
...  
Keyword(s):  
Comparative Analysis ◽  
Finite Elements ◽  
Solid Shell ◽  
Structural Problems

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.

Sheet metal forming simulation using EAS solid-shell finite elements

2006 ◽  
Vol 42 (13) ◽  
pp. 1137-1149 ◽  
Author(s):  
M.P.L. Parente ◽  
R.A. Fontes Valente ◽  
R.M. Natal Jorge ◽  
R.P.R. Cardoso ◽  
R.J. Alves de Sousa
Keyword(s):  
Finite Elements ◽  
Sheet Metal ◽  
Sheet Metal Forming ◽  
Metal Forming ◽  
Solid Shell ◽  
Forming Simulation
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