Abstract
Aims: In this work, an improved control Volume finite element method (ICVFEM) is proposed and implemented for thermoelastic analysis in functionally graded materials (FGMs) at a steady state.
Methods and Results: Different from the conventional CVFEM, the sub-control Volume used in the proposed method is circular in the intrinsic coordinate. The advantages of the new integral domain are: (i) the complex integration path can be avoided: (ii) the method is very suitable for many types of elements. High-order shape functions of eight quadrilateral (Q8) elements are used to obtain the unknown variables and their derivatives. Besides, material properties in a functionally graded structure are calculated by the high-order shape functions based on the properties defined at the node.
Conclusion: To verify the convergence and accuracy of the proposed method, three numerical examples with analytical solutions are illustrated by using the conventional CVFEM and FEM at the same time.
Keywords: Functionally graded materials, thermoelastic analysis, control volume finite element method, heat conduction, high-order element, finite volume method.
Graphical Abstract
Related Books
Intelligent Technologies for Automated Electronic Systems
Mechanical Engineering Technologies and Applications
Multistage Interconnection Network Design for Engineers
Mechanical Engineering Technologies and Applications
Intelligent Systems for IoE Based Smart Cities
Safety in Chemical and Process Industries: A Comprehensive Assessment
Intelligent Technologies for Scientific Research and Engineering
Futuristic Projects in Energy and Automation Sectors: A Brief Review of New Technologies Driving Sustainable Development
Materials and Technologies for a Green Environment
Emerging Technologies and Applications for a Smart and Sustainable World
16