Inversing heat flux boundary conditions based on precise integration FEM without iteration and estimation of thermal stress in FGMs

摘要: Abstract In this article, based on the precise integration finite element method, a non-iterative inverse method is proposed to heat flux boundary conditions for thermo-mechanical problem in functionally graded materials. Comparing with general iterative methods, novel can directly obtain accurate inversed results by least square without iteration. Furthermore, utilized stable and solution. On other hand, order improve adaptability of unknown are expanded series compactly supported radial basis functions. Once determined, temperature thermal stress distributions be estimated as well. Several examples discussed investigate some factors such random measurement error, position number points bias points’ thermophysical parameters. Numerical show that has excellent efficiency accuracy.