Polyhedral smoothed finite element method for thermoelastic analysis

• Published in: Journal of mechanical science and technology Vol. 31; no. 12; pp. 5937 - 5949
• Main Authors: Kim, Hobeom, Im, Seyoung
• Format: Journal Article
• Language: English
• Published: Seoul Korean Society of Mechanical Engineers 01.12.2017; Springer Nature B.V; 대한기계학회
• Subjects: Control; Dynamical Systems; Engineering; Finite element method; Hexahedral finite elements; Hydraulic transients; Industrial and Production Engineering; Mathematical analysis; Mechanical Engineering; Nonlinear programming; Shape functions; Vibration; 기계공학; Polyhedral element; Smoothed Finite element method (S-FEM); Cell-based smoothed Finite element method (CS-FEM); Edge-based smoothed Finite element method (ES-FEM); Thermoelastic analysis; Node-based smoothed Finite element method (NS-FEM)
• ISSN: 1738-494X; 1976-3824
• DOI: 10.1007/s12206-017-1138-5

Thermoelastic analysis by means of three-dimensional polyhedral elements based on the Smoothed Finite elements method (S-FEM), for example nodal Cell-based S-FEM (CS-FEM), Node-based S-FEM (NS-FEM), and Edge-based S-FEM (ES-FEM), was studied. S-FEM allows implicit shape functions, making it possible to construct shape functions of S-FEM based polyhedral elements in a straightforward manner. The performance of S-FEM based polyhedral elements was compared with one another and with the conventional finite elements including hexahedral and tetrahedral element. Numerical examples show that the polyhedral elements by means of CS-FEM and ES-FEM provide better accuracy and convergence rate than conventional hexahedral finite elements, while the polyhedral elements by means of NS-FEM leads to spurious mode.