Approximate Design Analysis of Failure Within Composite Laminated Plates

1982 ◽  
Vol 104 (3) ◽  
pp. 604-611 ◽  
Author(s):  
R. L. Gallo ◽  
A. N. Palazotto
Keyword(s):  
Computer Simulation ◽  
Analytical Study ◽  
Three Dimensional ◽  
Free Edge ◽  
Laminated Plates ◽  
Curing Temperature ◽  
Laminated Plate ◽  
Approximate Design ◽  
Composite Laminated Plates ◽  
Good Agreement

This paper is an analytical study of the effects of interlamina stresses near the free edge of a laminated plate due to axial and moment loading variations. A three-dimensional extension of the Tsai-Hill failure criterion is introduced to predict delamination. Results achieved by computer simulation show good agreement with experimental observations made by other sources. The distance from the free edge is decidedly important as is the effect of curing temperature because of the consequences these parameters have on the magnitude of the stress field. The failure estimations provide an approximate bound and are worthy of due consideration by the design engineer in the stress analysis of test specimens.

scholarly journals On Interlaminar Failure due to Mechanical and Thermal Stresses at the Free Edges of Composite Laminated Plates

1994 ◽  
Vol 3 (5) ◽  
pp. 096369359400300
Author(s):  
S. K. Morton ◽  
J. P. H. Webber
Keyword(s):  
Stress Field ◽  
Analytical Model ◽  
Thermal Stresses ◽  
Three Dimensional ◽  
Free Edge ◽  
Laminated Plates ◽  
Laminated Plate ◽  
Composite Laminated Plate ◽  
Composite Laminated Plates ◽  
Thermoelastic Effects

The three-dimensional stress field that occurs near a free edge in a composite laminated plate may lead to interlaminar failure. On the basis of an analytical model for this stress field, critical applied loads for interlaminar failure are predicted using a quadratic criterion. Both mechanical and thermoelastic effects are considered.

Nonlinear Vibrations of Two-Span Composite Laminated Plates with Equal and Unequal Subspan Lengths

2017 ◽  
Vol 9 (6) ◽  
pp. 1485-1505
Author(s):  
Lingchang Meng ◽  
Fengming Li
Keyword(s):  
Multiple Scales ◽  
Equations Of Motion ◽  
Primary Resonance ◽  
Laminated Plates ◽  
Laminated Plate ◽  
Composite Laminated Plate ◽  
Vibration Localization ◽  
Composite Laminated Plates ◽  
Localization Phenomenon ◽  
Harmonic Resonance

AbstractThe nonlinear transverse vibrations of ordered and disordered two-dimensional (2D) two-span composite laminated plates are studied. Based on the von Karman's large deformation theory, the equations of motion of each-span composite laminated plate are formulated using Hamilton's principle, and the partial differential equations are discretized into nonlinear ordinary ones through the Galerkin's method. The primary resonance and 1/3 sub-harmonic resonance are investigated by using the method of multiple scales. The amplitude-frequency relations of the steady-state responses and their stability analyses in each kind of resonance are carried out. The effects of the disorder ratio and ply angle on the two different resonances are analyzed. From the numerical results, it can be concluded that disorder in the length of the two-span 2D composite laminated plate will cause the nonlinear vibration localization phenomenon, and with the increase of the disorder ratio, the vibration localization phenomenon will become more obvious. Moreover, the amplitude-frequency curves for both primary resonance and 1/3 sub-harmonic resonance obtained by the present analytical method are compared with those by the numerical integration, and satisfactory precision can be obtained for engineering applications and the results certify the correctness of the present approximately analytical solutions.

Nonlinear Vibration Behaviors of Composite Laminated Plates with Time-Dependent Base Excitation and Boundary Conditions

2017 ◽  
Vol 18 (2) ◽  
Author(s):  
Yu-Yang Chai ◽  
Feng-Ming Li ◽  
Zhi-Guang Song
Keyword(s):  
Boundary Conditions ◽  
Theoretical Method ◽  
Laminated Plates ◽  
Time Dependent ◽  
Laminated Plate ◽  
Base Excitation ◽  
Analysis And Design ◽  
Composite Laminated Plate ◽  
Composite Laminated Plates ◽  
Frequency Relationship

AbstractThe nonlinear vibrations of composite laminated plates with time-dependent base excitation and boundary conditions are investigated. According to the von Kármán nonlinear plate theory, the dynamic equations of motion of the laminated plates are established. The nonlinear partial differential equations are transformed to the nonlinear ordinary differential ones using the Bubnov-Galerkin’s  method. The primary resonance and the primary parametric resonance of the laminated plate with time-dependent boundary conditions are investigated by means of the method of multiple scales. The validity of the present theoretical method is verified by comparing the amplitude–frequency relationship curves acquired from the present theoretical method with those calculated from the numerical simulation. The amplitude–frequency characteristic curves and the displacement time histories for different ply angles of the composite laminated plate are analyzed. The effects of the viscous damping factor and the transverse displacement excitation on the amplitude–frequency relationship curves are also studied. The present results are helpful for the nonlinear dynamical analysis and design of the composite laminated plate with time-dependent boundary conditions.

Heat and Mass Transfer during Drying of Clay Ceramic Materials: A Three-Dimensional Analytical Study

2017 ◽  
Vol 10 ◽  
pp. 93-106 ◽  
Author(s):  
M.K. Teixeira de Brito ◽  
D.B. Teixeira de Almeida ◽  
A.G. Barbosa de Lima ◽  
L. Almeida Rocha ◽  
E. Santana de Lima ◽  
...  
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Analytical Study ◽  
Separation Of Variables ◽  
Three Dimensional ◽  
Ceramic Materials ◽  
Governing Equations ◽  
Convective Boundary ◽  
Good Agreement

This work aims to study heat and mass transfer in solids with parallelepiped shape with particular reference to drying process. A transient three-dimensional mathematical model based on the Fick ́s and Fourier ́s Laws was developed to predict heat and mass transport in solids considering constant physical properties and convective boundary conditions at the surface of the solid. The analytical solution of the governing equations was obtained using the method of separation of variables. The study was applied in the drying of common ceramic bricks. Predicted results of the heating and drying kinetics and the moisture and temperature distributions inside the material during the process, are compared with experimental data and good agreement was obtained. It has been found that the vertices of the solid dry and heat first. This provokes thermal and hydric stresses inside the material, which may compromise the quality of the product after drying.

Shear Deformation in Heterogeneous Anisotropic Plates

1970 ◽  
Vol 37 (4) ◽  
pp. 1031-1036 ◽  
Author(s):  
J. M. Whitney ◽  
N. J. Pagano
Keyword(s):  
Shear Deformation ◽  
Plate Theory ◽  
Flexural Vibration ◽  
Laminated Plates ◽  
Transverse Load ◽  
Laminated Plate ◽  
Anisotropic Plates ◽  
Reinforced Composite ◽  
Classical Elasticity Theory ◽  
Good Agreement

A bending theory for anisotropic laminated plates developed by Yang, Norris, and Stavsky is investigated. The theory includes shear deformation and rotary inertia in the same manner as Mindlin’s theory for isotropic homogeneous plates. The governing equations reveal that unsymmetrically laminated plates display the same bending-extensional coupling phenomenon found in classical laminated plate theory based on the Kirchhoff assumptions. Solutions are presented for bending under transverse load and for flexural vibration frequencies of symmetric and nonsymmetric lamninates. Good agreement is observed in numerical results for plate bending as compared to exact solutions obtained from classical elasticity theory. For certain fiber-reinforced composite materials, radical departure from classical laminated plate theory is indicated.

Implementation of an Efficient Description of Elastic Properties of a Layered Composite in a Finite Element

1992 ◽  
Author(s):  
Edward M. Patton
Keyword(s):  
Finite Element ◽  
Three Dimensional ◽  
Free Edge ◽  
Layered Composite ◽  
Single Element ◽  
Isoparametric Finite Element ◽  
Interlaminar Shear ◽  
Displacement Based ◽  
Constitutive Formulation ◽  
Good Agreement

Abstract A constitutive formulation for a layered composite originally proposed by Christensen (1) is implemented in a displacement-based three dimensional isoparametric finite element. The element is tested against the much studied free-edge stress problem, and is found, in general, to have good agreement with published results using a single element through the thickness of the laminate, even in the vicinity of the free edge. In-plane stresses and through thickness normal stresses agree extremely well with previous results. The results for interlaminar shear stress are, however, somewhat lower than previously published. Reasons for this discrepancy are discussed.

scholarly journals Computer Simulation and Experimental Investigation of Solidification Casting Process

2011 ◽  
Vol 471-472 ◽  
pp. 601-605 ◽  
Author(s):  
S. Suraya ◽  
Shamsuddin Sulaiman ◽  
Mohd Khairol A. Arifin ◽  
Mohd Sayuti
Keyword(s):  
Computer Simulation ◽  
Three Dimensional ◽  
Casting Process ◽  
Three Dimensional Model ◽  
Data Logger ◽  
Solidification Pattern ◽  
Validation Procedure ◽  
Set Up ◽  
The One ◽  
Good Agreement

Computer simulation is widely used and conventional in manufacturing as a way to improve the manufactured goods quality as at same time plummeting invention costs, development time and scrap. In this study, three-dimensional model have been developed to simulate the filling and the solidification pattern in an aluminum casting with “AnyCasting” software. Using this software, solidification of aluminium 11.8% Si alloy in sand and metal mould was simulated and the results were compared with the experimental results. The solidification time and temperature was experimentally determined from thermocouple located at diverse distances. A data logger is used in experiment to gain the temperature division contour during the process of solidification of the aluminium 11.8% Si alloy. Experiments were set up to legalize the simulation results and it is confirm that the results from the two mould methods be in good agreement and the solidification of cast aluminium alloy using copper mould was much faster compared to the one cast sand mould. From this work it is concluded that simulation using AnyCasting software can be use to initially calculate. The simulation shows result that matches with the experimental data qualitatively and therefore the validation procedure is successful.

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