Applied Mathematics and Mechanics

, Volume 22, Issue 9, pp 1046–1056

# Splitting Modulus Finite Element Method for Orthogonal Anisotropic Plate Benging

• Fa-ning Dang
• Ting-yu Rong
• Xun-fang Sun
Article

## Abstract

Splitting modulus variational principle in linear theory of solid mechanics was introduced, the principle for thin plate was derived, and splitting modulus finite element method of thin plate was established too. The distinctive feature of the splitting model is that its functional contains one or more arbitrary additional parameters, called splitting factors, so stiffness of the model can be adjusted by properly selecting the splitting factors. Examples show that splitting modulus method has high precision and the ability to conquer some ill-conditioned problems in usual finite elements. The cause why the new method could transform the ill-conditioned problems into well-conditioned problem, is analyzed finally.

splitting modulus variational principle method of splitting modulus finite elements anisotropic ill-conditioned problems

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## Authors and Affiliations

• Fa-ning Dang
• 1
• Ting-yu Rong
• 2
• Xun-fang Sun
• 2
1. 1.Institute of Geotechnical EngineeringXi'an University of TechnologyXi'anP R China
2. 2.Department of Applied Mechanics and EngineeringSouthwest Jiaotong UniversityChengduP R China