Open AccessImproved Control Volume Method for Thermoelastic Analysis of Functionally Graded Solids
Author(s) -
BingBing Xu,
Long Yu,
Miao Cui
Publication year - 2021
Publication title -
current chinese engineering science
Language(s) - English
Resource type - Journals
eISSN - 2665-9980
pISSN - 2665-9999
DOI - 10.2174/2665998001999210101231413
Subject(s) - thermoelastic damping , quadrilateral , finite element method , convergence (economics) , control volume , mathematics , computer science , mathematical analysis , structural engineering , mechanics , engineering , physics , thermal , meteorology , economics , economic growth
In this work, an improved control volume finite element method (ICVFEM) is proposed and implemented forthermoelastic analysis in functionally graded materials (FGMs) at steady state. Different from the conventional CVFEM,the sub-control volume used in the proposed method is a circular in the intrinsic coordinate. The advantages of the new integraldomain 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 theirderivatives. Besides, material properties in a functionally graded structure are calculated by the high-order shape functionsbased on the properties defined at the node. To verify the convergence and accuracy of the proposed method, three numericalexamples with analytical solutions are illustrated by using the conventional CVFEM and FEM at the same time.