Hybrid-Mixed Solid-Shell Element for Stress Analysis of Laminated Piezoelectric Shells through Higher-Order Theories

2017 ◽  
pp. 45-68 ◽  
Author(s):  
Gennady M. Kulikov ◽  
Svetlana V. Plotnikova ◽  
Erasmo Carrera
Keyword(s):  
Stress Analysis ◽  
Shell Element ◽  
Higher Order ◽  
Solid Shell

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.

Higher Order Shear Deformation Enhanced Solid Shell Element

2013 ◽  
pp. 549-555
Author(s):  
Jarraya Abdessalem ◽  
Hajlaoui Abdessalem ◽  
Ben Jdidia Mounir ◽  
Dammak Fakhreddine
Keyword(s):  
Shear Deformation ◽  
Shell Element ◽  
Higher Order ◽  
Solid Shell

User-Defined Subroutine for Implementation of Higher-Order Shell Element in ABAQU

1993 ◽  
Author(s):  
Erik Saether ◽  
Alexander Tessler
Keyword(s):  
Shell Element ◽  
Higher Order

An improved assumed strain solid shell element formulation with bubble function displacements

1997 ◽  
Author(s):  
Chahngmin Cho ◽  
Brian Kemp ◽  
Sung Lee ◽  
Chahngmin Cho ◽  
Brian Kemp ◽  
...  
Keyword(s):  
Shell Element ◽  
Element Formulation ◽  
Solid Shell ◽  
Assumed Strain ◽  
Bubble Function
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