The Energy Relaxation Method for the Verification of Finite Element Analysis

Abstract:

The upper bound on the energy norm of solutions is a necessary condition in the present verification methods of the displacement-based finite element method. In this paper, we give a brief review of the existing methods for the upper bounds on the energy norm of solutions. Compared with other verification methods, the energy relaxation method does not require solving a series of sub-problems, but only solving a global problem, that is beneficial to its application and implementation in the verification of nonlinear finite element analysis.

• Periodical: Applied Mechanics and Materials (Volumes 477-478)
• Pages: 299-302
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.477-478.299
• Online since: December 2013
• Authors: Zhao Cheng Xuan*, Yao Hui Li, Meng Guan
• Keywords: Bounds, Energy Relaxation, Finite Element, Output, Verification

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