3D Semi-Analytical Solutions for Functionally Grade Power Law Varied Laminate Subjected to Thermo-Mechanical Loading

Abstract

This paper describes formulation for calculation of actual through thickness temperature variation followed by stress and displacement analysis of all-around simply supported functionally graded (FG) laminate using a semi-analytical approach. This approach has depended on a two-point boundary value problem (BVP) governed by first-order ordinary differential equations (ODEs). Developed formulation carries the advantage of both elasticity solution as well as ESL or approximate theories. This new model capable of providing accurate results without any approximation along the thickness of FG laminate. Material properties like heat conductivity, modulus of elasticity and thermal expansion coefficient are considered to be varied by a power law. The numerical investigation has been performed to examine thermal loading response on the FGM laminate and transverse loading applied on the laminate's top surface. The results are obtained for two types of thermal loading, obtained by heat conduction formulation received by developed semi-analytical approach and another with assumed power law variation and compared with each other. Leads outcomes from parametric studies, which will be helpful for further research in this area.

Keywords

• bvp
• power law
• 3d laminate
• fgm