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http://dx.doi.org/10.7734/COSEIK.2014.27.1.37

A Variational Numerical Method of Linear Elasticity through the Extended Framework of Hamilton's Principle  

Kim, Jinkyu (School of Civil, Environmental and Architectural Engineering, Korea Univ.)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.27, no.1, 2014 , pp. 37-43 More about this Journal
Abstract
The extended framework of Hamilton's principle provides a new rigorous weak variational formalism for a broad range of initial boundary value problems in mathematical physics and mechanics in terms of mixed formulation. Based upon such framework, a new variational numerical method of linear elasticity is provided for the classical single-degree-of-freedom dynamical systems. For the undamped system, the algorithm is symplectic with respect to the time step. For the damped system, it is shown to be accurate with good convergence characteristics.
Keywords
Hamilton's principle; mixed variational formulation; numerical method; linear elasticity;
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