El Método de los Elementos finitos. Vol. 2: Mecánica de Sólidos · O. C. Zienkiewicz, R. L. Taylor. 65,00€. el-metodo-elementos-finitos-fluidos-5aedicion. El Método de los Elementos Finitos. O.C. ZIENKIEWICZ y R.L. TAYLOR. , ISBN: Vol. I, pp. 42 €. Vol. II, pp., 45 €. Código L21 . El metodo de los elementos finitos. Front Cover. Olgierd Cecil Zienkiewicz. McGraw-Hill, – Engineering mathematics – pages.
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Enviado por Henrique flag Denunciar. The workers in the early s soon turned their attention towards the solution of non-linear problems.
Stability analysis also comes into this category and was discussed by Martin Plasticity problems, involving non-linear material behaviour, were modelled at this time Gallagher et al.
Besides the static analysis described above, dynamic problems were also being tackled, and Archer introduced the concept of the elementod mass matrix. Both vibration problems Zienkiewicz et al.
Thus the period from its conception in the early s to the late s saw the method being applied extensively by the engineering community. As far as this historical introduction is concerned, this is where we shall leave the contributions from the engineering community.
Olgierd Zienkiewicz – Wikipédia, a enciclopédia livre
There are excellent accounts of applications from the mid s onwards in the texts by Zienkiewicz and Taylor a,b. Let us return to the early days of the developments: Courant gave a solution to the torsion problem, using piecewise linear approximations over a triangular mesh, formulating the problem from the principle of minimum potential energy.
Zienkiewicz noted that Courant had already developed some of the ideas in the s without taking them further. Similar papers followed by Polya and Weinberger The method is discussed in detail in the book by Synge A three-dimensional problem in electrostatics was solved, using linear tetrahedral elements, by McMahon Once it was realized that the method could be interpreted in terms of variational methods, the mathematicians and engineers were brought together and many extensions of the method to new areas soon followed.
The principles could be clearly seen in the much earlier work of Lord Rayleigh Strutt and Ritz From a physical point of view, it meant that problems outside the structural area could be solved using standard structural packages by associating suitable meanings to the terms in the corresponding variational principles. Similarly, transient heat conduction problems were considered by Wilson and Nickell The mathematical basis of the method then started in earnest, and it is well beyond the scope of this text to do more than indicate where the interested reader may wish to start.
Mesh generation and adaption is an area in which much work is still needed; for a recent account, see Zienkiewicz et al. The reader interested in becoming familiar with current mathematical approaches to the method should consult Brenner and Scott or the very readable text by Axelsson and Barker The immediate advantage is in the reduction of the dimension of the problem.