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Algebraic Formulation of Elastostatics: the Cell Method

E. Tonti1, F. Zarantonello1

1 University of Trieste, Italy.

Computer Modeling in Engineering & Sciences 2009, 39(3), 201-236.


The theory of elasticity is usually formulated using differential calculus. We will show that it is possible to give an algebraic or discrete or finite formulation, by starting directly from experimental laws, i.e. by avoiding any discretization process of the differential equations. This direct formulation can be immediately used for numerical solution in elasticity problems and, from a theoretical point of view, it shows some interesting features which are hidden in the differential formulation or are not considered at all.


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Tonti, E., Zarantonello, F. (2009). Algebraic Formulation of Elastostatics: the Cell Method. CMES-Computer Modeling in Engineering & Sciences, 39(3), 201–236.

cc 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.
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