Third order theory based quadrilateral element for delaminated composite plates with a hybrid method for satisfying continuity at delamination fronts

2017 ◽  
Vol 181 ◽  
pp. 84-95 ◽  
Author(s):  
Adnan Ahmed ◽  
Santosh Kapuria
Keyword(s):  
Hybrid Method ◽  
Composite Plates ◽  
Order Theory ◽  
Quadrilateral Element ◽  
Third Order

scholarly journals Third-Order Theory for the Bending Analysis of Laminated Thin and Thick Plates Including the Strain Gradient Effect

Materials ◽  
2021 ◽  
Vol 14 (7) ◽  
pp. 1771
Author(s):  
Michele Bacciocchi ◽  
Angelo Marcello Tarantino
Keyword(s):  
Shear Deformation ◽  
Strain Gradient ◽  
Deformation Theory ◽  
Plate Theory ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Order Theory ◽  
Third Order ◽  
Starting Point

The aim of the paper is the development of a third-order theory for laminated composite plates that is able to accurately investigate their bending behavior in terms of displacements and stresses. The starting point is given by the corresponding Reddy’s Third-order Shear Deformation Theory (TSDT). This model is then generalized to consider simultaneously the Classical Laminated Plate Theory (CLPT), as well as the First-order Shear Deformation Theory (FSDT). The constitutive laws are modified according to the principles of the nonlocal strain gradient approach. The fundamental equations are solved analytically by means of the Navier methodology taking into account cross-ply and angle-ply lamination schemes. The numerical applications are presented to highlight the nonlocal effects on static behavior.

Dynamic Analysis of a Functionally Greded Sandwich Beam Traversed by a Moving Mass Based on a Refined Third-Order Theory

2021 ◽  
pp. 301-315
Author(s):  
Le Thi Ngoc Anh ◽  
Tran Van Lang ◽  
Vu Thi An Ninh ◽  
Nguyen Dinh Kien
Keyword(s):  
Dynamic Analysis ◽  
Sandwich Beam ◽  
Order Theory ◽  
Moving Mass ◽  
Third Order

Asymptotic theory for third-order differential equations with extension to higher odd-order equations

1991 ◽  
Vol 117 (3-4) ◽  
pp. 215-223 ◽  
Author(s):  
A. S. A. Al-Hammadi
Keyword(s):  
Differential Equations ◽  
Asymptotic Theory ◽  
Order Theory ◽  
Linear Differential Equations ◽  
Asymptotic Solutions ◽  
Third Order ◽  
Odd Order ◽  
Linear Differential ◽  
General Conditions

SynopsisAn asymptotic theory is developed for linear differential equations of odd order. Theory is applied with large coefficients. The forms of the asymptotic solutions are given under general conditions on the coefficients.

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