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Some applications of functional analysis in the mathematical theory of structures

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Part of the Lecture Notes in Mathematics book series (LNM,volume 503)

Keywords

  • Finite Element Method
  • Structural Field
  • Interpolation Error
  • Stiffness Coefficient
  • Elastic Coefficient

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. OLIVEIRA, E.R.A.—“The Convergence Theorems and their Role in the Theory of Structures”, in the Proc. IUTAM Symp. on High Speed Computing of Elastic Structures (1970), Liège, 1971.

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  2. OLIVEIRA, E.R.A.—“Mathematical Theory of Linear Structures”, in “Lectures on Finite Element Methods in Continuum Mechanics”, ed. by J.T. Oden and E.R.A. Oliveira, Un. of Alabama in Huntsville Press, 1973.

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  3. OLIVEIRA, E.R.A.—Notes of Lectures on the Foundations of the Theory of Structures, delivered at LNEC (Lisbon) and CISM (Udine) in 1972.

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  4. OLIVEIRA, E.R.A.—“A Theory of Variational methods with Application to Finite Elements”, IST, Lisbon, 1972.

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  5. BAZELEY, G.R.; CHEUNG, Y.K.; IRONS, B.M.; ZIENKIEWICZ, O.C.—“Triangular Elements in Plate Bending. Conforming and Non-Conforming Solutions”, Proc. of the 1st. Conf. on Matrix Meth. in Struct. Mech., Wright-Patterson AFB, Ohio, 1965.

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  6. MIKHLIN, S.G.—“Variational Methods in Mathematical Physics”, Pergamon Press, Oxford, 1964.

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  7. OLIVEIRA, E.R.A.—“The Role of Convergence in the Theory of Shells”, Int. J. Sol. Struct., 10, pp. 531–553, 1974.

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  8. OLIVEIRA, E.R.A.—“Results on the Convergence of the Finite Element Method in Structural and Non-Structural Cases”, Proc. of the Conf. on Finite Element Methods in Engineering, Sydney, 1974.

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  9. PRAGER, W.; SYNGE, J.L.—“Approximations in Elasticity Based on the Concept of Function Spaces”, Quart. Appl. Math., 5, pp. 241–269, 1947.

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  10. SYNGE, J.L.—“The Hypercircle Method in Mathematical Physics”, Cambridge Un. Press. Cambridge, 1957.

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  11. ODEN, J.T.—“Finite Elements of Non-Linear Continua”, Mc Graw-Hill, New York, 1972.

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  12. OLIVEIRA, E.R.A.—“Convergence of Finite Element Solutions in Viscous Flow Problems”, Swansea, 1974.

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© 1976 Springer-Verlag

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Arantes Oliveira, E.R. (1976). Some applications of functional analysis in the mathematical theory of structures. In: Germain, P., Nayroles, B. (eds) Applications of Methods of Functional Analysis to Problems in Mechanics. Lecture Notes in Mathematics, vol 503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088752

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  • DOI: https://doi.org/10.1007/BFb0088752

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07629-2

  • Online ISBN: 978-3-540-38165-5

  • eBook Packages: Springer Book Archive