Login
Register
Submit a Paper
Propose a Special lssue
Open Access
ARTICLE
Algebraic Formulation of Elastodynamics: the Cell Method
Computer Modeling in Engineering & Sciences 2010, 64(1), 37-70. https://doi.org/10.3970/cmes.2010.064.037
Download PDFAbstract
This paper completes a preceeding paper on the algebraic formulation of elastostatics [Tonti, Zarantonello (2009)]. It shows how to obtain a numerical formulation for elastodynamics by avoiding any process of discretization of differential equations, i.e. PDE-free formulation. To this end, we must analyse in more detail the discretization of time by highlighting the need to introduce a dual subdivision of the time axis, as we did for a space cell complex. The mass matrix obtained with the direct algebraic formulation is diagonal.Keywords
Cell Method, Discrete, Finite, Algebraic, Elastostatics, Elastodynamics.
Cite This Article
APA Style
Tonti, E., Zarantonello, F. (2010). Algebraic Formulation of Elastodynamics: the Cell Method. Computer Modeling in Engineering & Sciences, 64(1), 37–70. https://doi.org/10.3970/cmes.2010.064.037
Vancouver Style
Tonti E, Zarantonello F. Algebraic Formulation of Elastodynamics: the Cell Method. Comput Model Eng Sci. 2010;64(1):37–70. https://doi.org/10.3970/cmes.2010.064.037
IEEE Style
E. Tonti and F. Zarantonello, “Algebraic Formulation of Elastodynamics: the Cell Method,” Comput. Model. Eng. Sci., vol. 64, no. 1, pp. 37–70, 2010. https://doi.org/10.3970/cmes.2010.064.037
Copyright © 2010 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Downloads
Citation Tools
