Nonlocal Analytical Formulas for Plane Crack Elements and Semi-Analytical Element Method for Mode I Crack

Abstract:

This paper presents the series solutions in Hamiltonian form for plane sectorial domain of the nonlocal linear elasticity originally proposed by Eringen [. Based on the Hamiltonian governing equations of plane elasticity for sectorial domain, the variable separation and eigenfunction expansion techniques were employed to obtain these solutions. These solutions can be used to develop a nonlocal analytical finite element for the model I crack in nonlocal fracture mechanics.

• Periodical: Applied Mechanics and Materials (Volumes 444-445)
• Pages: 110-114
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.444-445.110
• Online since: October 2013
• Authors: Chang Liang Zheng, Zheng Yao
• Keywords: Hamilton Theory, Nonlocal Mechanics, Plane Fracture, Symplectic Algorithm, Variational Principle

References

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