scholarly journals Stochastic Thermal Post Buckling Response of Elastically Supported Laminated Piezoelectric Composite Plate Using Micromechanical approach

2015 ◽  
Vol 2 (1) ◽  
Author(s):  
Achchhe Lal ◽  
Nikhil M. Kulkarni ◽  
B.N. Singh
Keyword(s):  
Composite Plate ◽  
Volume Fraction ◽  
Plate Thickness ◽  
Laminated Composite ◽  
Uncertain System ◽  
Laminated Composite Plate ◽  
Micromechanical Approach ◽  
Post Buckling ◽  
System Properties ◽  
Elastically Supported

AbstractIn this paper, second order statistics of thermally induced post buckling response of elastically supported piezoelectric laminated composite plate using micromechanical approach is examined. A Co finite element has been used for deriving eigenvalue problem using higher order shear deformation theory (HSDT) with von-Karman nonlinearity. The uncertain system properties such as material properties of fiber and matrix of composite and piezoelectric, fiber volume fraction, plate thickness, lamination angle and foundation are modeled as random variables. The temperature field considered to be uniform temperature distributions through the plate thickness. A direct iterative based nonlinear finite element method combined with mean-centered second order perturbation technique (SOPT) is used to find the mean and coefficient of variance of the post buckling temperature. The effects of volume fraction, fiber orientation, and length to thickness ratio, aspect ratios, foundation parameters, position and number of piezoelectric layers, amplitude and boundary conditions with random system properties on the critical temperature are analysed. It is found that small amount of variations of uncertain system parameters of the composite plate significantly affect the initial and post buckling temperature of laminated composite plate. The results have been validated with independent Monte Carlo simulation (MCS) and those available in literature.

scholarly journals Stress analysis of infinite laminated composite plate with elliptical cutout under different in plane loadings in hygrothermal environment

2021 ◽  
Vol 8 (1) ◽  
pp. 1-12
Author(s):  
Ashok Magar ◽  
Achchhe Lal
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Composite Plate ◽  
Volume Fraction ◽  
Elliptical Hole ◽  
Laminated Composite ◽  
Laminated Composite Plate ◽  
Concentration Changes ◽  
Hygrothermal Environment ◽  
Plate Analysis

Abstract This paper presents the solution of stress distribution around elliptical cutout in an infinite laminated composite plate. Analysis is done for in plane loading under hygrothermal environment. The formulation to obtain stresses around elliptical hole is based on Muskhelishvili’s complex variable method. The effect of fibre angle, type of in plane loading, volume fraction of fibre, change in temperature, fibre materials, stacking sequence and environmental conditions on stress distribution around elliptical hole is presented. The study revealed, these factors have significant effect on stress concentration in hygrothermal environment and stress concentration changes are significant with change in temperature.

scholarly journals Bi-Axial Buckling of Laminated Composite Plates Including Cutout and Additional Mass

Materials ◽  
2019 ◽  
Vol 12 (11) ◽  
pp. 1750 ◽  
Author(s):  
Anish ◽  
Abhay Chaubey ◽  
Ajay Kumar ◽  
Bartłomiej Kwiatkowski ◽  
Danuta Barnat-Hunek ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Composite Plate ◽  
Plate Thickness ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Element Formulation ◽  
Laminated Composite Plate ◽  
Mass Variation ◽  
Additional Mass ◽  
Axial Buckling

In the presented paper, a study of bi-axial buckling of the laminated composite plate with mass variation through the cutout and additional mass is carried out using the improved shear deformation theory (ISDT). The ISDT mathematical model employs a cubic variation of thickness co-ordinates in the displacement field. A realistic parabolic distribution of transverse shear strains through the plate thickness is assumed and the use of shear correction factor is avoided. A C° finite element formulation of the mathematical model is developed to analyze the buckling behavior of laminated composite plate with cutout and additional mass. As no results based on ISDT for the considered problem of bi-axial buckling of the laminated composite plate with mass variation are available in the literature, the obtained results are validated with the data available for a laminated composite plate without cutout and additional mass. Novel results are obtained by varying geometry, boundary conditions and ply orientations.

Hygro-thermally induced stress intensity factor of an edge crack piezo laminated composite plate

2019 ◽  
Vol 15 (6) ◽  
pp. 1053-1074
Author(s):  
Achchhe Lal ◽  
Khushbu Jain
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Piezoelectric Layer ◽  
Edge Crack ◽  
Composite Plate ◽  
Volume Fraction ◽  
Laminated Composite ◽  
Laminated Composite Plate ◽  
Content Type

Purpose The purpose of this paper is to evaluate hygro-thermo-mechanically induced normalized stress intensity factor (NSIF) of an edge crack symmetric angle-ply piezo laminated composite plate (PLCP) using displacement correlation method. Design/methodology/approach In the present work, the governing equations are solved through conventional finite element method combined with higher order shear deformation plate theory utilizing the micromechanical approach. Findings The effects of crack length, the thickness of the plate and piezoelectric layer, stacking sequences, fiber volume fraction, position of piezoelectric layer, change in moisture and temperature, and voltage on the NSIF are examined. The numerical results are presented in the form of a table for the better understanding and accuracy. The present outlined approach is validated with results available in the literature. These results can become a benchmark for future studies. Research limitations/implications The mathematical models theoretically have been developed by considering different parameters. The results are generated using MATLAB 2015 software developed by the authors’ side. Originality/value The fracture analysis of a single edge crack PLCP with the effect of a piezoelectric layer at the different location of cracked structures, plate thickness, and actuator voltage and hygro-thermo loading is the novelty of research for health monitoring and high-performance analysis.

Effect of Variable Fiber Spacing on Post-Buckling of Boron/Epoxy Fiber Reinforced Laminated Composite Plate

2012 ◽  
Vol 245 ◽  
pp. 126-131
Author(s):  
Ali I. Al-Mosawi
Keyword(s):  
Composite Plate ◽  
Mathematical Formulation ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Primary Objective ◽  
Fiber Reinforced ◽  
Laminated Composite Plate ◽  
Geometric Imperfection ◽  
Fiber Spacing ◽  
Post Buckling

The primary objective of research is to determine the improved structural efficiency of plates can be with variable fiber spacing. The Post-buckling of laminated composite plate with variable fiber spacing is obtained numerically, using eight node isoparametric quadrilateral elements (serendipity element) with five degree of freedom per node. The mathematical formulation is based on first-order shear deformation theory and von-Karman non-linearity. The effect of the initial geometric imperfection, fiber spacing, orientation fiber, and direction of in-plane loading were considered. Numerical results for boron/Epoxy fiber reinforced laminates are presented for the different effects of the composite plate under in-plane loading. This study showed that the post buckling behavior of composite plate very sensitive for type of distribution fiber and the seventh distribution equation gives maximum buckling load and smallest deformation.

Geometrically Nonlinear Free Vibration of Laminated Composite Plate Embedded With Piezoelectric Layers Having Uncertain Material Properties

2012 ◽  
Vol 134 (6) ◽  
Author(s):  
Padmanav Dash ◽  
B. N. Singh
Keyword(s):  
Free Vibration ◽  
Geometric Nonlinearity ◽  
Composite Plate ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Perturbation Approach ◽  
Laminated Composite Plate ◽  
Nonlinear Free Vibration ◽  
Random System ◽  
System Properties

In this paper, the nonlinear free vibration stochastic characteristic of a smart laminated composite plate having random system properties is presented. The transverse shear effects have been included in the system equation in the frame work of higher order shear deformation theory. The analysis uses the Green-Lagrange nonlinear strain displacement relationship to model geometric nonlinearity. The direct iteration approach is used to handle deterministic geometric nonlinearity, and the perturbation approach is employed to handle the randomness in the system properties. Mean and variance of the random natural frequencies have been obtained by employing a C0 isoparametric nonlinear finite element model. Comparisons with the published results show the accuracy of the proposed procedure. A few results covering various features have been presented for a laminated composite plate with different boundary conditions.

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