Mechanical Stability Investigation of Advanced Composite Plates Resting on Elastic Foundations Using a New Four-Unknown Refined Theory

Mechanical buckling response of isotropic and orthotropic plates using the two variable refined plate theory is presented in this paper. The theory takes account of transverse shear effects and parabolic distribution of the transverse shear strains through the thickness of the plate; hence it is unnecessary to use shear correction factors. Governing equations are derived from the principle of virtual displacements. The nonlinear strain-displacement of Von Karman relations are also taken into consideration. The closed-form solution of a simply supported rectangular plate subjected to in-plane loading has been obtained by using the Navier method. Numerical results are presented for the present efficient sinusoidal shear deformation theory, demonstrating its importance and accuracy in comparison to other theories.

show abstract

“…Thus, there is no need to use shear correction factors. The strain field obtained by using strain-displacement relations can be given as [14]…”

Section: Kinematicsmentioning

confidence: 99%

Buckling analysis of plates using an efficient sinusoidal shear deformation theory

Khalfi¹,

Sallai²,

Bellebna³

2023

J. Fundam and Appl Sci.

View full text Add to dashboard Cite

show abstract

“…Reddy et al [1][2][3] used thirdorder shear deformation theory to study the mechanical behavior of isotropic and FG plates and beams. Following that, several research projects have been carried out in order to develop new theories based on Reddy's theory (e.g., hyperbolictrigonometric [4][5][6][7][8][9][10][11][12][13], trigonometric [14][15][16][17][18], exponential [19], trigonometric-exponential [20], exponential-logarithmic [21], and polynomial [22][23][24][25]). Li et al [26][27][28] studied static and free vibration behavior of FG plates employing novel polynomial theories with shape parameter (m).…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of the structural integrity on the porous functionally graded plates using a novel Quasi-3D hyperbolic high order shear deformation theory

Méliani

Kenanda

Hammadi

et al. 2023

Frattura Ed Integrità Strutturale

View full text Add to dashboard Cite

In this study, a novel quasi-three dimensional hyperbolic high-order shear deformation theory (quasi-3D HHSDT) is developed for free vibration analysis of porous functionally graded plates (FGPs). There are six unknowns in the current displacement field, and no shear correction factor is required. The mechanical properties are varied continuously through the thickness of porous FG plates using a modified power law function while considering the effect of porosities on the plate’s structural integrity. Two distinct porosity distribution models are considered, including even and uneven porosity distributions. The Navier technique is employed to obtain the closed-form solutions of motion's equations. An exhaustive parametric study is presented to show the influence of the different parameters on the fundamental frequencies.

show abstract

“…Bouchikhi, A. S et al [10] investigated the 2D simulation used to calculate the J-integral of the main crack behavior emanating from a semicircular notch and double semicircular notch and its interaction with another crack which may occur in various positions in (TiB/Ti) FGM plate under mode I. Yassine Khalfi et al [11] developed a refined and simple shear deformation theory for mechanical buckling of composite plate resting on two-parameter Pasternak's foundations. Meftah Kamel [12] presented a finite element method for analyzing the elasto-plastic plate bending problems.…”

Section: Introductionmentioning

confidence: 99%

Investigations in static response and free vibration of a functionally graded beam resting on elastic foundations

Chikh

2019

Frattura Ed Integrità Strutturale

View full text Add to dashboard Cite

In this article, an analytical study was done to predict the behavior of the beam vis-à-vis bending, buckling, and dynamic responses of isotropic homogeneous beams based on an elastic foundation. The material properties of the FG-beams vary across the thickness using the power law. In this work, the sinusoidal shear deformation beams theory is used to investigate the static and dynamic behavior of FG beams. The present theory fulfills the condition of nullity of edge stresses and does not require the use of a shear correction factor. Hamilton's principle is used to deduce equations of motion, and analytical solutions for simply supported beams were obtained using the Navier resolution method. Nondimensional displacements, eigenfrequencies and critical-buckling loads of isotropic homogeneous beams were obtained for various values of the foundation parameters. The numerical results obtained by the present technique have been compared with the results of literature and are in excellent agreement with them. It can be concluded that the current HSDBT is simple and accurate in solving the bending, eigenfrequency and critical-buckling load problems for FGM beams.

show abstract

Mechanical Stability Investigation of Advanced Composite Plates Resting on Elastic Foundations Using a New Four-Unknown Refined Theory

Cited by 3 publications

References 16 publications

Buckling analysis of plates using an efficient sinusoidal shear deformation theory

Buckling analysis of plates using an efficient sinusoidal shear deformation theory

Free vibration analysis of the structural integrity on the porous functionally graded plates using a novel Quasi-3D hyperbolic high order shear deformation theory

Investigations in static response and free vibration of a functionally graded beam resting on elastic foundations

Contact Info

Product

Resources

About