The improvement of the mesh generation algorithm in the finite element method for accelerating the calculation of thermal stresses in solid bodies

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Abstract

This study focuses on modeling the thermodiffusion process and thermal stresses using the finite element method (FEM). The paper examines algorithms for polygonal mesh generation and evaluates the influence of mesh quality on the accuracy of numerical methods in thermodiffusion calculations within solid bodies. An improved Delaunay algorithm is proposed to enhance mesh construction. Numerical experiments are presented, and the accuracy of the obtained results is analyzed to demonstrate the effectiveness of the proposed approach in accelerating thermal stress calculations.

About the authors

M. Raad

BMSTU "Bauman Moscow State Technical University"

Author for correspondence.
Email: m.raad@hotmail.com

PhD Student

Russian Federation, Moscow, 105005

A. Y. Popov

BMSTU "Bauman Moscow State Technical University"

Email: alexpopov@bmstu.ru

Dr. of Tech. Sc., Professor

Russian Federation, Moscow, 105005

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