Does the classical solid-shell element with the assumed natural strain method satisfy the three-dimensional patch test for arbitrary geometry?

2020 ◽  
Vol 168 ◽  
pp. 103331 ◽  
Author(s):  
Dana Bishara ◽  
Mahmood Jabareen
Keyword(s):  
Patch Test ◽  
Three Dimensional ◽  
Shell Element ◽  
Solid Shell ◽  
Arbitrary Geometry ◽  
Natural Strain ◽  
Assumed Natural Strain ◽  
Strain Method

On the Assumed Natural Strain method to alleviate locking in solid-shell NURBS-based finite elements

2014 ◽  
Vol 53 (6) ◽  
pp. 1341-1353 ◽  
Author(s):  
J. F. Caseiro ◽  
R. A. F. Valente ◽  
A. Reali ◽  
J. Kiendl ◽  
F. Auricchio ◽  
...  
Keyword(s):  
Finite Elements ◽  
Solid Shell ◽  
Natural Strain ◽  
Assumed Natural Strain ◽  
Strain Method

scholarly journals Exact geometry SaS solid-shell element for 3D stress analysis of FGM piezoelectric structures

2018 ◽  
Vol 5 (1) ◽  
pp. 116-135 ◽  
Author(s):  
G. M. Kulikov ◽  
S. V. Plotnikova
Keyword(s):  
Stress Analysis ◽  
Shell Element ◽  
Middle Surface ◽  
Functionally Graded ◽  
Superior Performance ◽  
Solid Shell ◽  
Lagrange Polynomials ◽  
Graded Material ◽  
Assumed Natural Strain ◽  
Shell Formulation

Abstract A hybrid-mixed functionally graded material (FGM) piezoelectric four-node solid-shell element through the sampling surfaces (SaS) method is proposed. The SaS formulation is based on choosing inside the shell N SaS parallel to the middle surface in order to introduce the displacements and electric potentials of these surfaces as fundamental shell unknowns. Such choice of unknowns with the use of Lagrange polynomials of degree N-1 in through-thickness interpolations of the displacements, strains, electric potential, electric field and material properties leads to a robust FGM piezoelectric shell formulation. The inner SaS are located at Chebyshev polynomial nodes that make it possible to minimize uniformly the error due to Lagrange interpolation. To implement the effective analytical integration throughout the element, the extended assumed natural strain (ANS) method is employed. As a result, the piezoelectric four-node solid-shell element exhibits a superior performance in the case of coarse meshes. To circumvent shear and membrane locking, the hybrid stress-strain solid-shell formulation via the Hu-Washizu variational principle is employed. The developed solid-shell element could be useful for the 3D stress analysis of FGMstructures because the SaS method allows obtaining the solutions with a prescribed accuracy, which asymptotically approach the exact solutions of electroelasticity as the number of SaS tends to infinity.

Solid Shell Element and its Application in Roll Forming Simulation

2007 ◽  
Vol 340-341 ◽  
pp. 347-352 ◽  
Author(s):  
Da Yong Li ◽  
Ying Bing Luo ◽  
Ying Hong Peng
Keyword(s):  
Degrees Of Freedom ◽  
Shell Element ◽  
Element Model ◽  
Roll Forming ◽  
Good Prospect ◽  
Solid Shell ◽  
Forming Process ◽  
Forming Simulation ◽  
Assumed Natural Strain ◽  
Roll Forming Process

Solid shell element models which possess only translational degrees of freedom and are applicable to thin structure analyses has drawn much attention in recent years and presented good prospect in sheet metal forming. In this study, a solid shell element model is introduced into the dynamic explicit elastic-plastic finite element method. The plane stress constitutive relation is assumed to relieve the thickness locking and the selected reduced integration method is used to overcome volumetric locking. The assumed natural strain method is adopted to resolve shear locking and trapezoidal locking problem. Two benchmark examples and a stage of roll forming process are calculated, and the calculating results are compared with those by solid element model, which demonstrates the effectiveness of the element.

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