Thermal Post-buckling Of Gradient Porous Circular Plates Based On Modified Couple Stress Theory

Gradient porous material is a kind of lightweight material with gradient distribution of inner pores.The change of material properties is continuous.These properties vary with the position of the structure in one or more directions Conventional porous materials can no longer meet the needs of exhibition.Gradient porous materials have outstanding characteristics such as light specific gravity,low thermal con.With the rapid advancement of modern industry,the demand for property of material are getting more and more higher.This determines that gradient porous materials can be more suitable for use under more complex conditions than conventional materials.This material can make the components work in the required environment.It can also ensure the safety of components during use.It has attracted much attention in engineering applications such as aerospace,ship and automobile structural components.It has good development form and practical value in the future.In engineering structures,circular plates,as one of the main research components,have a wide range of applications and can exhibit nonlinear mechanical behavior.Current research findings,there are limited papers on the post-buckling of porous circular plate structures with gradient thermal environment.The analysis of nonlinear mechanical behavior of post-buckling of graded perforated circular plates based on modified couple stress theory under thermal environment is rare.Therefore,On account of the modified couple stress theory and the classical plate theory,the consider of gradient porous circular plate in thermal environment is as follows:1.This article presents the interrelate research setting and research status.This article provides an overview of the physical properties of gradient porous materials,classical plate theory,modified couple stress theory,and a brief introduction to the shooting method.2.In this paper,The control differential equation for post buckling of porous circular plates with variable thickness gradient in a thermal environment was studied,which contains a unique material scale parameter.Based on the modified couple stress theory and the classical plate theory,the displacement and strain relations of geometric equations are derived.Get the stress-strain relationship of the physical equation.Introduce the concept of plane in physics.By the principle of minimum potential energy,the governing differential equation with scale effect parameters was derived.The governing equation in dimensionless form is obtained after dimensionless.3.Based on classical plate theory and modified couple stress theory,for the derived governing differential equation of post-buckling of gradient perforated circular plates with scale effect parameters.Numerical solution of the post-buckling control differential equation of gradient perforated circular plates by shooting method.Obtained the post buckling response of gradient perforated circular plates under different conditions in a thermal environment.For instance,temperature field,thickness of circular plate,porosity coefficient,porosity distribution,material size parameters.In this paper,the effects of temperature field,plate thickness,porosity coefficient,porosity distribution and material size parameters on the post-buckling of gradient porous circular plates under symmetrical and asymmetric porosity distribution are analyzed in detail by means of graphs and numerical tables.The post-buckling equilibrium path of the gradient perforated circular plate is obtained.Two porosity distribution models are compared and analyzed.The research results of this article on the post buckling behavior of gradient porous material circular plates under thermal environmental conditions can provide corresponding basis and theoretical reference.