Abstract
The main aim of this article is to develop a new boundary element method (BEM) algorithm to model and simulate the nonlinear thermal stresses problems in micropolar functionally graded anisotropic (FGA) composites with temperature-dependent properties. Some inside points are chosen to treat the nonlinear terms and domain integrals. An integral formulation which is based on the use of Kirchhoff transformation is firstly used to simplify the transient heat conduction governing equation. Then, the residual nonlinear terms are carried out within the current formulation. The domain integrals can be effectively treated by applying the Cartesian transformation method (CTM). In the proposed BEM technique, the nonlinear temperature is computed on the boundary and some inside domain integral. Then, nonlinear displacement can be calculated at each time step. With the calculated temperature and displacement distributions, we can obtain the values of nonlinear thermal stresses. The efficiency of our proposed methodology has been improved by using the communication-avoiding versions of the Arnoldi (CA-Arnoldi) preconditioner for solving the resulting linear systems arising from the BEM to reduce the iterations number and computation time. The numerical outcomes establish the influence of temperature-dependent properties on the nonlinear temperature distribution, and investigate the effect of the functionally graded parameter on the nonlinear displacements and thermal stresses, through the micropolar FGA composites with temperature-dependent properties. These numerical outcomes also confirm the validity, precision and effectiveness of the proposed modeling and simulation methodology.
Highlights
Generalized thermoelasticity theories have attracted increased attention of many researchers in recent years due to their applications in many fields [1,2,3,4]
A new boundary element modeling and simulation algorithm is developed based on time-dependent fundamental solutions in order to calculate the nonlinear thermal stresses in micropolar functionally graded anisotropic (FGA) composites, where material properties such as thermal conductivity, density and specific heat are assumed to be temperature-dependent
In the proposed boundary element method (BEM) formulation, the boundary is subdivided into boundary elements, and the domain must be subdivided into internal cells, without any connectivity to increase the accuracy of the computation
Summary
Generalized thermoelasticity theories have attracted increased attention of many researchers in recent years due to their applications in many fields [1,2,3,4]. Graded materials (FGMs) are a special kind of composite materials where their properties can be. (2021) 8:6 tailored in accordance with the mechanical-technological properties required in different working conditions. FGMs are excellent advanced materials that change the manufacturing world for the better. FGMs have received a large amount of attention due to its ability to produce materials with tailored properties which are suitable candidates for several hightech applications such as graded structures on the atomic scale, graded hip implants, structural walls, sports equipment, design attractive interference colors for automobiles, etc. The number of publications in this area of research has been growing exponentially in the past 20 years [5,6,7,8,9,10]
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