Thermomechanical Bending Analysis Research Articles

Thermo-mechanical bending analysis of a sandwich cylindrical panel with an auxetic honeycomb core and GNP-reinforced face sheets

Thermo-mechanical bending analysis of a sandwich cylindrical panel with an auxetic honeycomb core and GNP-reinforced face sheets

Accurate thermomechanical analysis of sandwich beams with nonhomogeneous core by quadrature element method

Although theoretical analysis of sandwich beam and panel with homogeneous face sheets and functionally graded (FG) core is available, however, accurate modeling and predicting the through-thickness distribution of the shear stress (strain) is still a challenging task. In this paper, an accurate thermomechanical bending analysis of sandwich beams is presented. Elasticity theory is directly employed for the entire sandwich panel to capture the through-thickness distribution of the shear stress (strain) accurately. Explicit formulation of quadrature element method (QEM) with an arbitrary number of nodes and nodes of any type is developed to ease the programming and convergence study. The influence of power-law index, porosity and temperature changes on the deflection, through-thickness distributions of stresses and shear strain is studied. The results may be useful for developing new panel theories and numerical methods.

Numerical thermo-mechanical bending analysis of hybrid layered composite curved panel and experimental validation

Numerical thermo-mechanical bending analysis of hybrid layered composite curved panel and experimental validation

Thermomechanical Bending Analysis of FG Sandwich Plates Using a Quasi-Three-Dimensional Theory

In the present article, a displacement-based polynomial-type quasi-three-dimensional plate theory is developed and applied to predict the accurate thermomechanical bending behavior of sandwich plates with functionally graded (FG) skins and a homogenous isotropic core. The theory considers the effects of transverse shear and normal stresses. The x-directional and y-directional displacements consist of extension, bending, and shear components expanded up to fifth-order polynomials in terms of the thickness coordinates. The z-directional displacement consists of a transverse normal effect up to a fourth-order polynomial in terms of the thickness coordinate. The governing equations are extracted using the principle of virtual work, and thermomechanical bending solution for simply supported plates is obtained using Navier’s solution technique. The present results are compared with the previously published results and are found to be in good agreement with them.

A simple nth-order shear deformation theory for thermomechanical bending analysis of different configurations of FG sandwich plates

In this work, thermomechanical flexural analysis of functionally graded material sandwich plates with P-FGM face sheets and E-FGM and symmetric S-FGM core is performed by employing a nth-order shear deformation theory. A novel type of SFGM sandwich plates, namely, both P-FGM face sheets and a symmetric S-FGM hard core are considered. By employing only four unknown variables, the governing equations are obtained based on the principle of virtual work and then Navier method is used to solve these equations. Analytical solutions are deduced to compute the stresses and deflections of simply supported S-FGM sandwich plates. The effects of volume fraction variation, geometrical parameters and thermal load on thermomechanical flexural behavior of the symmetric FGM sandwich plates are investigated.

Thermomechanical bending study for functionally graded sandwich plates using a simple quasi-3D shear deformation theory

In this article, a simple quasi-3D shear deformation theory is employed for thermo-mechanical bending analysis of functionally graded material (FGM) sandwich plates. The displacement field is defined using only 5 variables as the first order shear deformation theory (FSDT). Unlike the other high order shear deformation theories (HSDTs), the present formulation considers a new kinematic which includes undetermined integral variables. The governing equations are determined based on the principle of virtual work and then they are solved via Navier method. Analytical solutions are proposed to provide the deflections and stresses of simply supported FGM sandwich structures. Comparative examples are presented to demonstrate the accuracy of the present theory. The effects of gradient index, geometrical parameters and thermal load on thermo-mechanical bending response of the FG sandwich plates are examined.

A refined four variable plate theory for thermoelastic analysis of FGM plates resting on variable elastic foundations

In this paper, an efficient higher-order shear deformation theoryis presented to analyze thermomechanical bending of temperature-dependentfunctionally graded (FG) plates resting on an elastic foundation. Further simplifying supposition are made to the conventional HSDT so that the number of unknowns is reduced, significantly facilitating engineering analysis. These theory account for hyperbolic distributions of the transverse shear strains and satisfy the zero traction boundary conditions on the surfaces of the plate without using shear correction factors. Power law material properties and linear steady-state thermal loads are assumed to be graded along the thickness. Nonlinearthermal conditions are imposed at the upper and lower surface for simply supported FG plates. Equations of motion are derived fromthe principle of virtual displacements. Analytical solutions for the thermomechanical bending analysis are obtained based on Fourier series that satisfy the boundary conditions (Navier\'s method). Non-dimensional results are compared for temperature-dependent FG plates and validated with those of other shear deformation theories. Numerical investigation is conducted to show the effect of material composition, plate geometry, and temperature field on the thermomechanical bending characteristics. It can be concluded that the present theory is not only accurate but also simple in predicting the thermomechanical bending responses of temperature-dependentFG plates.

Thermomechanical bending analysis of functionally graded sandwich plates with both functionally graded face sheets and functionally graded cores

ABSTRACTThe bending response of functionally graded material (FGM) sandwich plates subjected to thermomechanical loads is investigated using a four-variable refined plate theory. A new type of FGM sandwich plate, namely, both FGM face sheets and an FGM hard core, is considered. Containing only four unknown functions, the governing equations are deduced based on the principle of virtual work and then these equations are solved via the Navier approach. Analytical solutions are obtained to predict the deflections and stresses of simply supported FGM sandwich plates. Benchmark comparisons of the solutions obtained for a degradation model (functionally graded face sheets and homogeneous cores) with ones computed by several other theories are conducted to verify the accuracy and efficiency of the present approach. The influences of volume fraction distribution, geometrical parameters, and thermal load on dimensionless deflections and normal and shear stresses of the FGM sandwich plates are studied.

Thermomechanical bending analysis of sandwich plates with both functionally graded face sheets and functionally graded core

In this paper, thermomechanical bending analysis of functionally graded material (FGM) sandwich plates is performed by using a four-variable refined plate theory. A new type of FGM sandwich plates, namely, both FGM face sheets and FGM hard core are considered. Containing only four unknown functions, the governing equations are deduced based on the principle of virtual work and then these equations are solved via Navier approach. Analytical solutions are obtained to predict the deflections and stresses of simply supported FGM sandwich plates. Comparative studies for a degradation model (functionally graded face sheets and homogeneous core) are conducted to verify the accuracy and efficiency of the present approach. The influences of volume fraction distribution, geometrical parameters and thermal load on thermomechanical bending behavior of the FGM sandwich plates are studied.

A new five unknown quasi-3D type HSDT for thermomechanical bending analysis of FGM sandwich plates

This work investigates a thermomechanical bending analysis of functionally graded sandwich plates by proposing a novel quasi-3D type higher order shear deformation theory (HSDT). The mathematical model introduces only 5 variables as the first order shear deformation theory (FSDT). Unlike the conventional HSDT, the present one presents a novel displacement field which includes undetermined integral variables. The mechanical properties of functionally graded layers of the plate are supposed to change in the thickness direction according to a power law distribution. The core layer is still homogeneous and made of an isotropic ceramic material. The governing equations for the thermomechanical bending investigation are obtained through the principle of virtual work and solved via Navier-type method. Interesting results are determined and compared with quasi-3D and 2D HSDTs. The influences of functionally graded material (FGM) layer thickness, power law index, layer thickness ratio, thickness ratio and aspect ratio on the deflections and stresses of functionally graded sandwich plates are discussed.

Thermomechanical bending analysis of functionally graded sandwich plates using four-variable refined plate theory

Abstract A four-variable refined plate theory is developed to investigate the thermomechanical bending of two types of functionally graded material (FGM) sandwich plates. The sandwich core of one type is isotropic with the FGM face sheets whereas in the second type, the sandwich core is FGM with the face sheets isotropic and homogeneous. The governing equations are deduced based on the principle of virtual work and the number of unknown functions involved is reduced to only four. The Navier-type exact solutions for bending analysis of simply supported FGM sandwich plates subjected to thermomechanical loads are presented. Deflections and stresses of two types of FGM sandwich plates are investigated. The accuracy and efficiency of the present theory is validated by comparing it with various available solutions in the literature. The influences of volume fraction distribution, aspect ratio and thermal load on plate thermomechanical bending characteristics are studied in detail.

Thermo-Mechanical Bending Response of Exponentially Graded Thick Plates Resting on Elastic Foundations

The trigonometric shear and normal deformations plate theory is used to study the thermo-mechanical bending analysis of exponentially graded (EG) thick rectangular plates resting on Pasternak elastic foundations. Material properties of the plate are assumed to be graded in the thickness direction according to an exponential law distribution, meaning that Lamé coefficients vary exponentially in a given fixed z-direction. The governing equations are derived from the principle of virtual displacements. The analytical solutions are obtained by using Navier technique and the effects of stiffness of the foundations, thermal loading, and gradient index on thermo-mechanical responses of the plates are discussed. Numerical results for the bending response for EG rectangular plates are investigated and some of them are compared with those available in the literature.

A sinusoidal plate theory with 5-unknowns and stretching effect for thermomechanical bending of functionally graded sandwich plates

In this research, a simple but accurate sinusoidal plate theory for the thermomechanical bending analysis of functionally graded sandwich plates is presented. The main advantage of this approach is that, in addition to incorporating the thickness stretching effect, it deals with only 5 unknowns as the first order shear deformation theory (FSDT), instead of 6 as in the well-known conventional sinusoidal plate theory (SPT). The material properties of the sandwich plate faces are assumed to vary according to a power law distribution in terms of the volume fractions of the constituents. The core layer is made of an isotropic ceramic material. Comparison studies are performed to check the validity of the present results from which it can be concluded that the proposed theory is accurate and efficient in predicting the thermomechanical behavior of functionally graded sandwich plates. The effect of side-to-thickness ratio, aspect ratio, the volume fraction exponent, and the loading conditions on the thermomechanical response of functionally graded sandwich plates is also investigated and discussed.

Thermo-mechanical bending response with stretching effect of functionally graded sandwich plates using a novel shear deformation theory

This paper presents an analytical solution to the thermomechanical bending analysis of functionally graded sandwich plates by using a new hyperbolic shear deformation theory in which the stretching effect is included. The modulus of elasticity of plates is assumed to vary according to a power law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic ceramic material. The effects of functionally graded material (FGM) layer thickness, volume fraction index, layer thickness ratio, thickness ratio and aspect ratio on the deflections and stresses of functionally graded sandwich plates are investigated.

Thermoelastic free vibration and dynamic behaviour of an FGM doubly curved panel via the analytical hybrid Laplace–Fourier transformation

The paper presents an analysis of functionally graded material doubly curved panels with rectangular planform under the action of thermal and mechanical loads. Based on the first-order shear deformation theory of modified Sanders assumptions, five coupled partially differential equations (PDEs) are established as equations of motion. Each thermo-mechanical property of the shell follows the power law distribution across the thickness, except Poisson’s ratio, which is kept constant through the panel. Assuming that four edges of the shell-panel are simply supported, a Navier-based solution is adopted to reduce the PDEs into time-dependent ODEs. Applying the Laplace transformation, the equations of motion are transformed into the Laplace domain. With the aid of analytical Laplace inverse method, solutions of stresses, strains, and displacements are obtained in time domain and expressed in explicit phrases. Dynamic, free vibration, and thermo-mechanical bending analysis of the panel is carried out for various geometries. Obtained results are validated with the well-known available data reported in the literature.

THE EFFECT OF TRANSVERSE SHEAR AND NORMAL DEFORMATIONS ON THE THERMOMECHANICAL BENDING OF FUNCTIONALLY GRADED SANDWICH PLATES

A thermomechanical bending analysis for a simply supported, rectangular, functionally graded material sandwich plate subjected to a transverse mechanical load and a through-the-thickness thermal load is presented using the refined sinusoidal shear deformation plate theory. The present shear deformation theory includes the effect of both shear and normal deformations and it is simplified by enforcing traction-free boundary conditions at the plate faces. Material properties and thermal expansion coefficient of the sandwich plate faces are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The equilibrium equations of different sandwich plates are given based on various plate theories. A number of examples are solved to illustrate the numerical results concern thermo-mechanical bending response of functionally graded rectangular sandwich plates. The influences played by transversal shear and normal deformations, plate aspect ratio, side-to-thickness ratio, volume fraction distributions, and thermal and mechanical loads are investigated.