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A stabilized finite element method for certified solution with bounds in static and frequency analyses of piezoelectric structures

Chen, L.; Zhang, Y. W.; Liu, G. R; Nguyen-Xuan H.

ISIKNOWLEDGE; 0045-7825; http://repository.vnu.edu.vn/handle/VNU_123/27820; http://www.sciencedirect.com/science/article/pii/S0045782512001818

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  • Nhan đề:
    A stabilized finite element method for certified solution with bounds in static and frequency analyses of piezoelectric structures
  • Tác giả: Chen, L.; Zhang, Y. W.; Liu, G. R; Nguyen-Xuan H.
  • Chủ đề: Numerical methods; Piezoelectric structures; NS-FEM; Solution bound; Frequency; Stabilization
  • Mô tả: TNS06934 ; COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING Volume: 241 Pages: 65-81 Published: 2012
    This paper develops a stabilization procedure in piezoelectric media to ensure the temporal stability of node-based smoothed finite element method (NS-FEM), and applies it to obtain certified solution with bounds in both static and frequency analyses of piezoelectric structures using three-node triangular ele-ments. For such stabilized NS-FEM, two stabilization terms corresponding to squared-residuals of two equilibrium equations, i.e., mechanical stress equilibrium and electric displacement equilibrium, are added into the smoothed potential energy functional of the original NS-FEM. A gradient smoothing oper-ation is then performed on second-order derivatives of shape functions to achieve the stabilization terms. Due to the use of divergence theory, the smoothing operation relaxes the requirement of shape functions, so that the square-residuals can be evaluated using linear elements. The effectiveness of the present sta-bilized NS-FEM is demonstrated via numerical examples
  • Nơi xuất bản: ELSEVIER SCIENCE SA, PO BOX 564, 1001 LAUSANNE, SWITZERLAND
  • Năm xuất bản: 2012
  • Ngôn ngữ: English
  • Số nhận dạng: ISIKNOWLEDGE; 0045-7825; http://repository.vnu.edu.vn/handle/VNU_123/27820; http://www.sciencedirect.com/science/article/pii/S0045782512001818

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