Elastic Response Of Functionally Graded Graphene Reinforced Plates Under Thermo-Mechanical Loads

As an ideal nano-reinforced composite material,graphene has excellent mechanical,thermal and electrical properties,coupled with its unique two-dimensional planar structure,which makes it have a broad application prospect in aerospace,structural and mechanical engineering fields.Compared with the traditional fibers and carbon nanotubes,graphene has more advantages in all aspects.A novel composite material in which a plurality of graphene nanoplatelets are unevenly dispersed in a matrix and the weight content of graphene is arbitrarily and continuously changed along the thickness direction.Graphene-enhanced functionally graded materials have become a hot spot in research at home and abroad in recent years.It is necessary to make full use of the excellent mechanical properties of graphene to develop advanced composite structures,and the study of its mechanical properties is very necessary.Based on the three-dimensional elastic theory and the generalized Mian and Spencer functional graded plate theory,the elastic response of graphene-enhanced functionally graded materials under thermo-mechanical load is studied.Considering the steady-state temperature field caused by heat conduction in the thickness direction of the plate,considering the distribution of four graphenes along the thickness direction,the effective Young's modulus and Poisson's ratio of graphene reinforced composite are determined by the newly modified Halpin Tsai micromechanical model and mixing law,Based on the theory of Mian and Spencer functional graded plate,has carried out the following research work:(1)The thermoelastic solution of FGM rectangular plates reinforced with simply supported graphene under heat load is obtained.The effects of GPL weight content,distribution form,geometric size and other factors on the thermoelastic response of graphene-reinforced FGM rectangular plates were discussed by parameter analysis.(2)The three-dimensional elastic solution of the graphene-reinforced FGM elliptical plate under thermo-mechanical loading is obtained.Based on the example analysis,the GPL distribution pattern is found.The geometry and size ratio have a significant effect on the stress and displacement of the graphene-reinforced FGM elliptical plate.(3)The response of graphene-enhanced FGM circular plates under concentrated force and temperature field was studied.The numerical results show that the GPL defect size,temperature field and boundary conditions have significant effects on the thermoelastic response of graphene-reinforced FGM circular plates.(4)The thermoelasticity of graphene-reinforced FGM strips under temperature field is studied.The calculation results show that the thermal response of graphene-reinforced FGM strips under temperature field is quite different from that under mechanical force.