This study presents the buckling analysis of radially loaded solid circular plate made of porous material. Properties of the porous plate, where pores are assumed to be saturated with fluid, vary ...across its thickness. The boundary condition of the plate is assumed to be clamped and the plate is assumed to be geometrically perfect. The higher order shear deformation plate theory (HSDT) is employed to derive the governing equations. The equilibrium and stability equations, derived through the variational formulation and based on the Sanders non-linear strain–displacement relation, are used to determine the prebuckling forces and critical buckling loads. The results are compared with the buckling loads of circular plates made of porous material and reported in the literature based on the classical plate theory (CPT) and the first order shear deformation plate theory (FSDT).
•We analyze the buckling of functionally graded circular plates made of porous material on higher order shear deformation theory.•The porous plate is assumed of the form that pores are saturated with fluid.•And the pores distribution of the plate is variable in the thickness direction and the plate is investigated in three situations.•Equilibrium and stability equations of a porous circular plate under radially compressive load are derived.•The effects of porous plate, thickness, pores distribution and variation of porosity on the critical mechanical load are investigated.
AbstractThis study presents the buckling analysis of a radially loaded, solid, circular plate made of porous material. Properties of the plate vary across the thickness. The edge of the plate is ...either simply supported or clamped and the plate is assumed to be geometrically perfect. The geometrical nonlinearities are considered in the Love-Kirchhoff hypothesis sense. The equilibrium and stability equations, derived through the variational formulation, are used to determine the prebuckling forces and critical buckling loads. The equations are based on the Sanders nonlinear strain-displacement relation. The porous plate is assumed to be of the form where pores are saturated with fluid. The results obtained for porous plates are compared with the homogeneous and porous/nonlinear, symmetric distribution, circular plates.
This study presents the buckling analysis of soft ferromagnetic FG circular plates made of poro material. Equilibrium and stability equations of a poro circular plate in transverse magnetic field are ...derived. This study analyzes the poroelastic instability of clamped edge ferromagnetic plates subjected to magnetic loadings. The geometrical nonlinearities are considered in the Love–Kirchhoff hypothesis sense. In this paper the effect of pore pressure on critical magnetic field of plate and the effect of important parameters of poroelastic material on buckling capacity are investigated. Also the compressibility of fluid and porosity on the buckling strength are being investigated.
•We analyze the buckling of soft ferromagnetic FG circular plates made of poro material.•Modulus of elasticity of porous plate is as a power law through the thickness.•The porous plate is assumed of the form that pores are saturated with fluid.•Increasing the porosity decreases the critical buckling load.•Equilibrium and stability equations of a poro circular plate in transverse magnetic field are derived.
This study presents the buckling analysis of thermal loaded solid circular plate made of porous material. It is assumed that the material properties of the porous plate vary across the thickness. The ...edge of the plate is clamped and the plate is assumed to be geometrically perfect. The geometrical nonlinearities are considered in the Love-Kirchhoff hypothesis sense. Equilibrium and stability equations, derived through the variational formulation, are used to determine the prebuckling temperatures and critical buckling temperatures. The equations are based on the Sanders non-linear strain-displacement relation.The porous plate is assumed of the form where pores are saturated with fluid. Also, the effect of pores distribution and thermal distribution on the critical buckling temperature is investigated.
In this study, thermal and mechanical stability of solid circular plate which is made of saturated and unsaturated porous material with piezoelectric actuators is investigated. The edge of the plate ...is clamped, and the plate is assumed to be geometrically perfect. The effect of porosity on mechanical and thermal buckling loads is investigated in this study. The results show that the effect of porosity on thermal and mechanical stability is different and depends on some parameters. Effects of fluid thermal expansion and piezoelectric thermal expansion on critical thermal buckling load are investigated for a porous plate. The effects of porous, piezoelectric layers thicknesses, and applied electrical field on thermal and mechanical buckling load of the plate are investigated, too. Mechanical and thermal equilibria are derived based on classic plate theory. Thermal and mechanical critical loads are obtained for all the cases, and finally, there is a comparison between the result of this paper and previous literature.
We present a thermoelastic analysis of functionally graded porous beams under in-plane thermal loading which is applied as uniform temperature distribution over the entire beam. The pore ...distributions are modeled by a power law and assumed to vary smoothly across the thickness of beam. We consider both saturated and unsaturated pores filled with fluid. The governing equations of porous beam are derived using the variational formulation based on the Timoshenko beam theory. We study the influence of pore's material properties comparing the results to solutions of homogeneous beams.
This study presents the thermal buckling of radially solid circular plate made of porous material with piezoelectric actuator layers. Porous material properties vary through the thickness of plate ...with a specific function. The porous plate is assumed of the form where pores are saturated with fluid. The general thermoelastic nonlinear equilibrium and linear stability equations are derived using the variational formulations to obtain the governing equations of piezoelectric porous plate. The geometrical nonlinearities are considered along with the first order shear deformation plate theory (FST). Then, closed form solution for the circular plates subjected to temperature load is obtained. Buckling temperatures are derived for solid circular plates under uniform temperature rise through the thickness for immovable clamped edge of boundary conditions. The effects of porous plate thickness, pores distribution, piezoelectric thickness, applied actuator voltage and variation of porosity on the critical temperature load are investigated. It has also been investigated the effect of different thermal expansion coefficient of porous and piezolectric plate on stability of plate.
•We analysis Thermal buckling of porous circular plate with piezoelectric actuators.•Critical temperature decreases by increasing thermal expansion coefficient of plates.•Critical temperature increases and decreases by positive and negative electric fields.•Critical temperature increases by increasing piezoelectric thickness.•Critical temperature increases by increasing porous plate thickness.
This study presents the thermal buckling analysis of solid circular plate made of porous material bounded with piezoelectric sensor-actuator patches. The porous material properties vary through the ...thickness with specific function. The general mechanical nonlinear equilibrium and linear stability equations are derived using the variational formulations to obtain the governing equations of piezoelectric porous plate. Thermal buckling load is derived for solid circular plates under uniform temperature load for the clamped edge condition. In recent paper the effects of porous plate’s thickness, porosity, porous thermal expansion coefficient, piezoelectric thickness, piezoelectric thermal expansion coefficient, and feedback gain on thermal stability of the plate are investigated.
We present a deep energy method (DEM) to solve functionally graded porous beams. We use the Euler-Bernoulli assumptions with varying mechanical properties across the thickness. DEM is subsequently ...developed, and its performance is demonstrated by comparing the analytical solution, which was adopted from our previous work. The proposed method completely eliminates the need of a discretization technique, such as the finite element method, and optimizes the potential energy of the beam to train the neural network. Once the neural network has been trained, the solution is obtained in a very short amount of time.
In this work we conducted classical molecular dynamics (MD) simulation to investigate the mechanical characteristics and failure mechanism of hexagonal boron-nitride (h-BN) nanosheets. Pristine and ...defective structure of h-BN nanosheets were considered under the uniaxial tensile loadings at various temperatures. The defective structure contains three types of the most common initial defects in engineering materials that are known as cracks, notches (with various length/size), and point vacancy defects (with a wide range of concentration). MD simulation results demonstrate a high load-bearing capacity of extremely defective (amorphized) h-BN nanosheets. Our results also reveal that the tensile strength decline by increasing the defect content and temperature as well. Our MD results provide a comprehensive and useful vision concerning the mechanical properties of h-BN nanosheets with/without defects, which is very critical for the designing of nanodevices exploiting the exceptional physics of h-BN.
