Refined Zigzag Theory for laminated composite and sandwich plates derived from Reissner’s Mixed Variational Theorem

2015 ◽  
Vol 133 ◽  
pp. 809-817 ◽  
Author(s):  
Luigi Iurlaro ◽  
Marco Gherlone ◽  
Marco Di Sciuva ◽  
Alexander Tessler
Keyword(s):  
Laminated Composite ◽  
Sandwich Plates ◽  
Variational Theorem ◽  
Reissner’S Mixed Variational Theorem ◽  
Zigzag Theory

A robust four-node quadrilateral element for laminated composite and sandwich plates based on Refined Zigzag Theory

2021 ◽  
Vol 242 ◽  
pp. 106369
Author(s):  
M. Sorrenti ◽  
M. Di Sciuva ◽  
A. Tessler
Keyword(s):  
Laminated Composite ◽  
Sandwich Plates ◽  
Quadrilateral Element ◽  
Zigzag Theory

Assessment of Inverse Hyperbolic Zigzag Theory for Hygro-Thermomechanical Analysis of Laminated Composite and Sandwich Plates

2020 ◽  
Vol 33 (5) ◽  
pp. 04020060
Author(s):  
Nikhil Garg ◽  
Karkhanis Rahul Sanjay ◽  
Rosalin Sahoo ◽  
P. R. Maiti ◽  
B. N. Singh
Keyword(s):  
Laminated Composite ◽  
Thermomechanical Analysis ◽  
Sandwich Plates ◽  
Zigzag Theory

scholarly journals A Family of C0 Quadrilateral Plate Elements Based on the Refined Zigzag Theory for the Analysis of Thin and Thick Laminated Composite and Sandwich Plates

2019 ◽  
Vol 3 (4) ◽  
pp. 100 ◽  
Author(s):  
Di Sciuva ◽  
Sorrenti
Keyword(s):  
Transverse Shear ◽  
Laminated Composite ◽  
Thin Plates ◽  
Sandwich Plates ◽  
Shear Locking ◽  
Reduced Integration ◽  
Quadrilateral Plate ◽  
Plate Elements ◽  
Transverse Shear Locking ◽  
Zigzag Theory

The present work focuses on the formulation and numerical assessment of a family of C0 quadrilateral plate elements based on the refined zigzag theory (RZT). Specifically, four quadrilateral plate elements are developed and numerically tested: The classical bi-linear 4-node element (RZT4), the serendipity 8-node element (RZT8), the virgin 8-node element (RZT8v), and the 4-node anisoparametric constrained element (RZT4c). To assess the relative merits and drawbacks, numerical tests on bending (maximum deflection and stresses) and free vibration analysis of laminated composite and sandwich plates under different boundary conditions and transverse load distributions are performed. Convergences studies with regular and distorted meshes, transverse shear-locking effect for thin and very thin plates are carried out. It is concluded that the bi-linear 4-node element (RZT4) has performances comparable to the other elements in the range of thin plates when reduced integration is adopted but presents extra zero strain energy modes. The serendipity 8-node element (RZT8), the virgin 8-node element (RZT8v), and the 4-node anisoparametric constrained element (RZT4c) show remarkable performance and predictive capabilities for various problems, and transverse shear-locking is greatly relieved, at least for aspect ratio equal to 5 × 102, without using any reduced integration scheme. Moreover, RZT4c has well-conditioned element stiffness matrix, contrary to RZT4 using reduced integration strategy, and has the same computational cost of the RZT4 element.

A new trigonometric zigzag theory for static analysis of laminated composite and sandwich plates

2014 ◽  
Vol 35 ◽  
pp. 15-28 ◽  
Author(s):  
Rosalin Sahoo ◽  
B.N. Singh
Keyword(s):  
Static Analysis ◽  
Laminated Composite ◽  
Sandwich Plates ◽  
Zigzag Theory

Dynamic Instability of Laminated-Composite and Sandwich Plates Using a New Inverse Trigonometric Zigzag Theory

2015 ◽  
Vol 137 (6) ◽  
Author(s):  
Rosalin Sahoo ◽  
B. N. Singh
Keyword(s):  
Stability Analysis ◽  
Boundary Conditions ◽  
Dynamic Stability ◽  
Dynamic Instability ◽  
Excitation Frequency ◽  
Laminated Composite ◽  
Sandwich Plates ◽  
Load Amplitude ◽  
Instability Regions ◽  
Zigzag Theory

A structure with periodic dynamic load may lead to dynamic instability due to parametric resonance. In the present work, the dynamic stability analysis of laminated composite and sandwich plate due to in-plane periodic loads is studied based on recently developed inverse trigonometric zigzag theory (ITZZT). Transverse shear stress continuity at layer interfaces along with traction-free boundary conditions on the plate surfaces is satisfied by the model obviating the need of shear correction factor. An efficient C0 continuous, eight noded isoparametric element with seven field variable is employed for the dynamic stability analysis of laminated composite and sandwich plates. The boundaries of instability regions are determined using Bolotin's approach and the first instability zone is presented either in the nondimensional load amplitude–excitation frequency plane or load amplitude–load frequency plane. The influences of various parameters such as degrees of orthotropy, span-thickness ratios, boundary conditions, static load factors, and thickness ratios on the dynamic instability regions (DIRs) are studied by solving a number of problems. The evaluated results are validated with the available results in the literature based on different deformation theories. The efficiency of the present model is ascertained by the improved accuracy of predicted results at the cost of less computational involvement.

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