Constitutive Relations for Fiber-Reinforced Inelastic Laminated Plates

1984 ◽  
Vol 51 (1) ◽  
pp. 107-113 ◽  
Author(s):  
J. Aboudi ◽  
Y. Benveniste
Keyword(s):  
Stress Field ◽  
Effective Stress ◽  
Strain Field ◽  
Constitutive Relations ◽  
Laminated Plates ◽  
Constitutive Behavior ◽  
Laminated Plate ◽  
Fiber Reinforced ◽  
Cylindrical Bending ◽  
Legendre Expansion

Effective stress-strain relations for inelastic unidirectional composites developed previously are used to derive the gross constitutive behavior of inelastic laminates in which every lamina is fiber-reinforced. The laminated plate is subjected to stretching and bending deformation and the strain field is described by the Love-Kirchhoff hypothesis. The distribution of the resulting stresses across the thickness is necessarily nonlinear and a Legendre expansion formalism is used to determine the stress field. Results are given for cross-ply symmetric laminates under pure cylindrical bending.

GEOMETRIC SINGULARITY ON THE LATERAL EDGE OF A BENDING PLATE

1996 ◽  
Vol 06 (04) ◽  
pp. 569-585
Author(s):  
I. TITEUX
Keyword(s):  
Boundary Layer ◽  
Stress Field ◽  
Boundary Layer Theory ◽  
Laminated Plates ◽  
Laminated Plate ◽  
Dimensional Problem ◽  
Lateral Edge ◽  
Geometric Singularity ◽  
Classical Boundary ◽  
Expansion Theory

The aim of this paper is to improve the description of the stress field near a geometric perturbation of the lateral edge of a laminated plate. The main results concerning the bending of laminated plates and the two-dimensional problem are obtained by the asymptotic expansion theory. We then recall the boundary layer theory which allows us to improve the stress field close to a classical edge. After these preliminaries, we show how to modify the classical boundary layer theory to prove the existence and uniqueness of a corrective stress field.

Optimization of the Hot Forming Processes for the Connecting Rod

2012 ◽  
Vol 461 ◽  
pp. 721-724
Author(s):  
Xia Chen ◽  
Yang Yi ◽  
Qing Ming Chang ◽  
Yun Xiang Zhang ◽  
Sheng Liu
Keyword(s):  
Stress Field ◽  
Effective Stress ◽  
Strain Field ◽  
Effective Strain ◽  
Three Dimensional ◽  
Fem Simulation ◽  
Connecting Rod ◽  
3D Fem ◽  
Forging Process ◽  
Deform 3D

A three-dimensional thermo-mechanically coupled FEM-simulation of the production of a connecting rod has been performed between dies (pre- and final-forging). According to the part’s characters and its dimensions, a hammer die forging process was determined. According to the hammer die process, three-dimensional connecting nod model was built in UG software and two different cases for pre-forging was designed. Different forming case was simulated by Deform-3D FEM program, the effective stress field and effective strain field were analyzed by comparison; it proved that optimized performing process was reasonable and can be used as reference in production.

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.

Laminated Composite Plate Theory With Improved In-Plane Responses

1986 ◽  
Vol 53 (3) ◽  
pp. 661-666 ◽  
Author(s):  
H. Murakami
Keyword(s):  
Variational Principle ◽  
Composite Plate ◽  
Plate Theory ◽  
Laminated Composite ◽  
Laminated Plates ◽  
Thickness Variation ◽  
Laminated Plate ◽  
Laminated Composite Plate ◽  
Cylindrical Bending ◽  
Shear Deformable

In order to improve the accuracy of the in-plane response of the shear, deformable laminated composite plate theory, a new laminated plate theory has been developed based upon a new variational principle proposed by Reissner (1984). The improvement is achieved by including a zigzag-shaped C0 function to approximate the thickness variation of in-plane displacements. The accuracy of this theory is examined by applying it to a problem of cylindrical bending of laminated plates which has been solved exactly by Pagano (1969). The comparison of the in-plane response with the exact solutions for symmetric three-ply and five-ply layers has demonstrated that the new theory predicts the in-plane response very accurately even for small span-to-depth ratios.

Stress and Stability Analyses of Thick Fiber Reinforced Laminated Composite Plates Using Finite Element Method

1993 ◽  
Author(s):  
Altaf H. Sulaiman ◽  
Jim Y. C. Yang ◽  
Shaik Jeelani
Keyword(s):  
Finite Element ◽  
Biaxial Loading ◽  
Circumferential Stress ◽  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Plates ◽  
Laminated Plate ◽  
Fiber Reinforced ◽  
Element Analysis ◽  
Geometric Imperfection

Abstract The Finite Element work consists of Stress Concentration at the edge of circular cutout of a fiber reinforced laminated plate and Stability analysis of the same model. Location and magnitude of the maximum circumferential stress have been investigated with a finite element analysis program, ABAQUS. Variations of fiber orientation and ratio of in-plane biaxial loading have been considered to study the behavior of angle ply laminated plates. Postbucking response for angle ply laminated plate [θ/−θ]2s for both thin and thick section is studied. Different hole sizes, loading ratios, geometric imperfection in the z-direction and fiber orientations have been used in this analysis. The influence of these parameters on the postbuckling response is presented in this paper.

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.

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