Title : ( Application of Meshless Local Petrov-Galerkin (MLPG) and Generalized Finite Difference (GFD) Methods )
سیدمحمود حسینی,چکیده
The mesh-free or meshless methods are some of the most effective numerical methods in engineering analysis. In meshless methods, it is not required to generate any mesh on the whole analyzed domain which can be considered as the great advantage of meshless methods. The governing equations of coupled thermoelasticity based on Green-Naghdi theory without energy dissipation in thick hollow cylinder are solved using two meshless methods including meshless local Petrov-Galerkin (MLPG) and generalized finite difference (GFD). In both methods, the governing equations are discretized in matrix forms in the temperature and displacement fields. The boundary conditions are represented in MLPG and GFD discretized forms of relevant boundary densities (temperature, heat flux, displacements, and tractions).
کلمات کلیدی
Coupled thermoelasticity; Green-Naghdi theory; 13 Meshless methods; Thick cylinder, Coupled thermoelasticity; Green-Naghdi theory; 13 Meshless methods; Thick cylinder
