Long Nguyen-Nhut-Phi,Son Nguyen-Hoai,Quan Nguyen,Phong Le-Thanh,Dai Mai-Duc,



Finite element method (FEM),Laser butt weld,Relative error,Reliability,h- refinement,p- refinement,


The finite element (FE) solutions are different from the exact ones due to the presence of various error sources, such as computer round-off error, error due to discrete of the displacement field, etc. This paper uses the h- and p-refinement of the finite element method for the laser butt weld problem, with the base metal is AISI 1018 steel highness 8 mm. The objective is to present estimation techniques the strain energy relative error and evaluate its reliability through two indices: the affectivity index and the uniformity index SD. The numerical results achieve to meet the conditions for reliability assessment. Specifically, the, , SD values of h- refinement, and p- refinement respectively: less than 6%, 0.535667, 0.019528, and less than 4%, 0.506616, 0.103834.


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