Mechanical and thermal postbuckling of FG porous smart microtubes integrated with an elastic medium
摘要
The primary objective of this article is to implement an analytical study for nonlinear mechanical and thermal buckling of functionally graded (FG) porous piezoelectric cylindrical microtubes under the impacts of external electric field and hygrothermal conditions. To achieve this, the displacement field is formulated using a novel shear deformation beam theory. Moreover, the micro-scale impact is implemented by utilizing the hypothesis of modified couple stress, which includes merely one material length-scale component. The microtubes in the proposed model are constructed of a material called piezoelectric containing pores that may be steadily dispersed or smoothly varied according to a sinusoidal law. Additionally, three porosity distribution patterns are presented here. In order to derive the postbuckling load and temperature, the equations of motion are deduced within the framework of virtual work and then converted to a nonlinear algebraic system employing Galerkin’s method. The accuracy and efficiency of the proposed method are validated by comparing the results with those available in the existing literature. Furthermore, several parametric examples are conducted to analyze the effects of the length-to-depth ratio, porosity distribution type, porosity factor, and parameters of moisture and temperature on the postbuckling paths of the proposed model. The findings indicate that considering the small size impact boosts the microtube strength leading to an increment in mechanical and thermal postbuckling loads.