Bending analysis of composite laminated plates using a partially hybrid stress element with interlaminar continuity

Huang, Y. Q.; Su, Di; Wu, Chuanyong; Sun, Huiyu

doi:10.1016/s0045-7949(02)00011-1

Cited by 12 publications

(8 citation statements)

References 17 publications

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“…A large deflection comparison for orthotropic plates was made with the DR program. The results are compared with DR results of Turvey and Osman [4], Reddy's [5], and Zaghloul et al results [6]. For a thin uniformly loaded square plate made of material I which its properties are stated in Table ( 6) and with simply supported in -plane free (SS2) edges.…”

Section: Deflection Of Laminated Composite Plates Using Dynamic Relaxmentioning

confidence: 95%

“…] using the DR program and material II which its properties are cited in Table ( Tables (8), and (9) as follows: The present DR deflections of two layer antisymmetric cross -ply simply supported in -plane fixed (SS4) are compared with DR results of Turvey and Osman [8] and with sun and chin's values for a range of loads as shown in Table ( [4][5][6][7][8]. The good agreement found confirms that for simply supported (SS4) edge conditions, the deflection depends on the direction of the applied load or the arrangement of the layers.…”

Section: Deflection Of Laminated Composite Plates Using Dynamic Relaxmentioning

confidence: 99%

“…Table (9) shows a comparison between the present DR, and DR Ref. [5]. S (4): Zaghloul's and Kennedy's Ref.…”

Section: Deflection Of Laminated Composite Plates Using Dynamic Relaxmentioning

confidence: 99%

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Deflection of Laminated Composite Plates Using Dynamic Relaxation Method

Suleiman

2017

ijpse

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First -order orthotropic shear deformation equations for the nonlinearly elastic bending response of rectangular plates are introduced. Their solution using a computer program based on finite differences implementation of the Dynamic Relaxation (DR) method is outlined. The convergence and accuracy of the DR solutions for elastic large deflection response of isotropic, orthotropic, and laminated plates are established by comparison with various exact and approximate solutions. The present Dynamic Relaxation method (DR) coupled with finite differences method shows a fairly good agreement with other analytical and numerical methods used in the verification scheme. It was found that: The convergence and accuracy of the DR solution are dependent on several factors including boundary conditions, mesh size and type, fictitious densities, damping coefficients, time increment and applied load. Also, the DR large deflection program using uniform finite differences meshes can be employed in the analysis of different thicknesses for isotropic, orthotropic or laminated plates under uniform loads. All the comparison results for simply supported (SS4) edge conditions showed that deflection is almost dependent on the direction of the applied load or the arrangement of the layers. Keywords DeflectionIn plane, out of plane and rotational fictitious densities.Curvature and twist components of plate mid -plane IntroductionComposites were first considered as structural materials a little more than half a century ago. From that time to now, they have received increasing attention in all aspects of material science, manufacturing technology, and theoretical analysis.The term composite could mean almost any thing if taken at face value, since all materials are composites of dissimilar subunits if examined at close enough details. But in modern engineering materials, the term usually refers to a matrix material that is reinforced with fibers. For instance, the term "FRP" which refers to Fiber Reinforced plastic, usually indicates a thermosetting polyester matrix containing glass fibers, and this particular composite has the lion's share of today commercial market.In the present work, a numerical method known as Dynamic Relaxation (DR) coupled with finite differences is used. The DR method was first proposed in 1960s and then passed through a series of studies to verify its validity by Turvey and Osman Refs. . In this method, the equations of equilibrium are converted to dynamic equations by adding damping and inertia terms. These are then expressed in finite difference form and the solution is obtained through iterations. The optimum damping coefficient and time increment used to stabilize the solution depend on a number of factors including the matrix properties of the structure, the applied load, the boundary conditions and the size of the mesh used.Numerical techniques other than the DR include finite element method, which widely used in the present studies i.e. of Damodar R. Ambur et al [12], Ying Qing Huang et al [...

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Section: Deflection Of Laminated Composite Plates Using Dynamic Relaxmentioning

confidence: 95%

Section: Deflection Of Laminated Composite Plates Using Dynamic Relaxmentioning

confidence: 99%

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Deflection of Laminated Composite Plates Using Dynamic Relaxation Method

Suleiman

2017

ijpse

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“…Numerical techniques other than the DR include finite element method, which is widely used in several studies i.e., of Damodar R. Ambur et al, [22], ying Qing Huang et al, [23], Onsy L. Roufaeil et al, [3]… etc. In a comparison between the DR and the finite element method, Aalami [24] found that the computer time required for finite element method is eight times greater than for DR analysis, whereas the storage capacity for finite element analysis is ten times or more than that for DR analysis.…”

Section: Dynamic Relaxation Solution Of the Plate Equationsmentioning

confidence: 99%

Verification of Dynamic Relaxation (DR) Method in Isotropic , Orthotropic and Laminated Plates using Small Deflection Theory

Elmardi¹

2014

IJAST

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“…[Spilker 1982;Feng and Hoa 1998;Huang et al 2002;Icardi and Atzori 2004] are among the most significant examples, since the computed solutions are generally satisfactory. The main drawback of these schemes, especially for the case of layerwise beams and plates, is the high number of degrees of freedom (DOFs), which leads to a heavy FE formulation.…”

Section: 2mentioning

confidence: 99%

A new modeling approach for planar beams: finite-element solutions based on mixed variational derivations

Auricchio

Balduzzi

Lovadina

2010

J. Mech. Mater. Struct.

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This paper illustrates a new modeling approach for planar linear elastic beams. Referring to existing models, we first introduce the variational principles that could be adopted for the beam model derivation, discussing their relative advantages and disadvantages. Then, starting from the Hellinger-Reissner functional we derive some homogeneous and multilayered beam models, discussing some properties of their analytical solutions. Finally, we develop a planar beam finite element, following an innovative approach that could be seen as the imposition of equilibrium in the cross-section and compatibility along the axis. The homogeneous model is capable of reproducing the behavior of the Timoshenko beam, with the advantage that the shear correction factor appears naturally from the variational derivation; the multilayered beam is capable of capturing the local effects produced by boundary constraints and load distributions; the finite element is capable of predicting the cross-section stress distribution with high accuracy, and more generally the behavior of planar structural elements.

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Bending analysis of composite laminated plates using a partially hybrid stress element with interlaminar continuity

Cited by 12 publications

References 17 publications

Deflection of Laminated Composite Plates Using Dynamic Relaxation Method

Deflection of Laminated Composite Plates Using Dynamic Relaxation Method

Verification of Dynamic Relaxation (DR) Method in Isotropic , Orthotropic and Laminated Plates using Small Deflection Theory

A new modeling approach for planar beams: finite-element solutions based on mixed variational derivations

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