EFFECT OF UNCERTAIN SYSTEM PROPERTIES ON THERMO-ELASTIC STABILITY OF LAMINATED COMPOSITE PLATES UNDER NONUNIFORM TEMPERATURE DISTRIBUTION

2010 ◽  
Vol 02 (02) ◽  
pp. 399-420 ◽  
Author(s):  
ACHCHHE LAL ◽  
B. N. SINGH
Keyword(s):  
Temperature Distribution ◽  
Order Statistics ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Thermal Buckling ◽  
Second Order ◽  
Random System ◽  
Second Order Statistics ◽  
System Properties

Uncertainties in system properties are inherent in all engineering materials. This paper presents the second-order statistics of thermal buckling response of shear deformable laminated composite plate resting on elastic foundation with random system properties under nonuniform tent-like temperature distribution. The mathematical model based on higher-order shear deformation theory [HSDT] is presented. A C0 finite element method in conjunction with first-order perturbation technique is employed to derive the second-order statistics (mean and the standard deviation) of the thermal buckling temperature under nonuniform tent-like temperature distribution. Numerical results have been compared with available results in literatures and independent Monte Carlo simulation.

STOCHASTIC THERMAL POST-BUCKLING RESPONSE OF LAMINATED COMPOSITE CYLINDRICAL SHELL PANEL WITH SYSTEM RANDOMNESS

2012 ◽  
Vol 04 (01) ◽  
pp. 1250009 ◽  
Author(s):  
ACHCHHE LAL ◽  
B. N. SINGH ◽  
SUSHIL KALE
Keyword(s):  
Cylindrical Shell ◽  
Order Statistics ◽  
Material Properties ◽  
Laminated Composite ◽  
Composite Cylindrical Shell ◽  
Random System ◽  
Second Order Statistics ◽  
Post Buckling ◽  
Shell Panel ◽  
System Properties

The effect of random system properties on thermal post-buckling temperature of laminated composite cylindrical shell panel with temperature independent (TID) and dependent (TD) material properties subjected to uniform temperature distribution is examined in this study. System properties such as material properties, thermal expansion coefficients and lamina plate thickness are modeled as independent basic random variables. The basic formulation is based on higher-order shear deformation (HSDT) theory with von-Karman nonlinearity using modified C0 continuty. A direct iterative-based C0 nonlinear finite element method (FEM) combined with Taylor series-based mean-centered first-order perturbation technique (FOPT) developed by the authors for composite plate is extended for shell panel with reasonable accuracy to compute second-order statistics of post-buckling temperature of cylindrical shell panel. Typical numerical results for second order statistics (mean and coefficient of variance) of thermal post-buckling temperature of laminated cylindrical shell panel are obtained through numerical examples for various support conditions, amplitude ratios, shell thickness ratios, aspect ratios, lamination lay-up sequences, curvature to length ratios, types of material properties with the effect of random system parameters. The performance of outlined approach has been validated with those results available in the literatures and independent MCS.

THERMAL BUCKLING RESPONSE OF LAMINATED COMPOSITE PLATE WITH RANDOM SYSTEM PROPERTIES

2009 ◽  
Vol 06 (03) ◽  
pp. 447-471 ◽  
Author(s):  
ACHCHHE LAL ◽  
B. N. SINGH
Keyword(s):  
Eigenvalue Problems ◽  
Perturbation Technique ◽  
Plate Thickness ◽  
Laminated Composite ◽  
Composite Plates ◽  
Random System ◽  
Second Order Statistics ◽  
Order Deformation ◽  
System Properties ◽  
Random System Properties

This paper deals with second-order statistics of buckling temperature of shear deformable laminated composite plates resting on elastic foundation with random system properties. The temperature field is assumed to be a uniform distribution over the plate surface and through the plate thickness. The material properties are assumed to be independent of temperature. Based on the higher-order deformation theory, C0 finite element in conjunction with mean-centered first-order perturbation technique is proposed and applied to derive the random thermal eigenvalue problems. A detailed parametric study is carried out to highlight the sensitivity of the response. The results are compared with existing and Monte Carlo simulation.

scholarly journals Thermal Buckling of Laminated Composite Plates Using a Simple Four Variable Plate Theory

2021 ◽  
Vol 27 (9) ◽  
pp. 1-19
Author(s):  
Hussein Tawfeeq Yahea ◽  
Wedad Ibraheem Majeed
Keyword(s):  
Plate Theory ◽  
Equations Of Motion ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Thermal Buckling ◽  
Design Parameters ◽  
Laminated Composite Plates ◽  
Buckling Behavior ◽  
Uniform Temperature Field

In this study, the thermal buckling behavior of composite laminate plates cross-ply and angle-ply all edged simply supported subjected to a uniform temperature field is investigated, using a simple trigonometric shear deformation theory. Four unknown variables are involved in the theory, and satisfied the zero traction boundary condition on the surface without using shear correction factors, Hamilton's principle is used to derive equations of  motion depending on a Simple Four Variable Plate Theory for cross-ply and angle-ply, and then solved through Navier's double trigonometric sequence, to obtain critical buckling temperature for laminated composite plates. Effect of changing some design parameters such as, orthotropy ratio (E1/E2), aspect ratio (a/b),  thickness ratio (a/h), thermal expansion coefficient ratio (α2/α1), are investigated, which have the same behavior and good agreement when compared with previously published results with maximum discrepancy (0.5%).

Finite Element-Based Stochastic Nonlinear Progressive Failure Response of Piezo-Laminated Composite Plate with Elliptical Cutouts

2019 ◽  
Vol 11 (08) ◽  
pp. 1950076 ◽  
Author(s):  
Achchhe Lal ◽  
Rahul Kumar
Keyword(s):  
Composite Plate ◽  
Failure Load ◽  
Progressive Failure ◽  
Shear Deformation Theory ◽  
Elliptical Hole ◽  
Laminated Composite ◽  
Failure Criteria ◽  
Second Order ◽  
Laminated Composite Plate ◽  
Random System

This paper presents the second-order statistics of hygro-thermo-electrically-induced progressive failure in terms of first-ply failure load (FPFL) and last-ply failure load (LPFL) analysis for laminated composite material plate (LCMP) under out of plane mechanical loading with random system properties. Basic governing equation of nonlinear progressive failure analysis is based on shear deformation theory (higher order) with von-Karman nonlinear kinematics using Newton’s Raphson approach through Tsai–Wu failure criteria. The random input variables are assumed as uncorrelated type and are evaluated using second-order perturbation method (SOPT). Laminated composite plate with elliptical cutouts are subjected to uniformly distributed, point and hydrostatic load. The effect of boundary conditions, temperature variation, moisture content and voltage variations by utilizing piezoelectric layer position and various cutout shapes on the mean and corresponding covariance (COV) of FPFL and LPFL load are evaluated. Convergence of numerical analysis is performed, and results are validated with those available in literatures to check the efficiency of present methodology. It is observed that the presence of elliptical hole always causes an increase in the failure load of plates subjected to bending, even further increase for LPFL due to the reduction of stresses.

scholarly journals Probabilistic fracture investigation of symmetric angle ply laminated composite plates using displacement correlation method

2016 ◽  
Vol 3 (1) ◽  
Author(s):  
Achchhe Lal ◽  
P. Palekar Shailesh
Keyword(s):  
Mixed Mode ◽  
Perturbation Technique ◽  
Correlation Method ◽  
Laminated Composite ◽  
Second Order ◽  
Order Perturbation ◽  
Uniaxial Tensile ◽  
Direct Monte Carlo Simulation ◽  
Random System ◽  
System Properties

AbstractThe second order statistics of mixed mode stress intensity factors (MSIF) of single edge V-notched angle ply laminated composite plate subjected to uniaxial tensile load with uncertinity in the system properties using displacement correlation method (DCM) is evaluated. The random system properties such as material properties, crack opening and crack length are modelled as combined uncorrelated and correlated random system variables. A C0 finite element method (FEM) based on higher order shear deformation plate theory (HSDT) is used for basic formulation. The Taylor series based first order perturbation technique (FOPT), second order perturbation technique (SOPT) are used and direct Monte Carlo simulation (MCS) is performed to evaluate the statistics (mean and coefficient of variance) of the mixed mode SIFs. The present work signifies the accurate analysis of frature behaviour by influence of different random variables and fibre orientations on the fracture behaviour in angle ply laminates.

Sign in / Sign up

Export Citation Format

Share Document