Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Numerical determination of displacement fields in elastic disks with stress boundary conditions


Author: Jay W. Feldmann
Journal: Quart. Appl. Math. 29 (1971), 205-224
MSC: Primary 73.65
DOI: https://doi.org/10.1090/qam/302028
MathSciNet review: 302028
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Abstract: An earlier method [5] of establishing consistent finite difference equations is extended to obtain equations of higher degrees of precision. Again, the main advantage over the customary finite element method is that this new technique uses a uniform grid so that the boundary of the disk need not consist of grid segments. Numerous displays of pertinent quantities are given to facilitate the application of the method to specific stress boundary value problems.


References [Enhancements On Off] (What's this?)

  • [1] W. Prager, Variational principles of linear elastostatics for discontinuous displacements, strains, and stresses, in Recent progress in applied mechanics, The Folke Odqvist Volume, Almqvist & Wiksell, Stockholm, 1967, pp. 463-474
  • [2] William Prager, Introduction to mechanics of continua, Introductions to Higher Mathematics. Ginn and Co., Boston, Mass.-Toronto-London, 1961. MR 0126974
  • [3] William Prager, Introduction to basic 𝐹𝑂𝑅𝑇𝑅𝐴𝑁 programming and numerical methods, Blaisdell Publishing Co. Ginn and Co. New York-Toronto-London, 1965. MR 0175330
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  • [6] B. Fraeijs de Veubeke, Displacement and equilibrium models in the finite element method, in Stress analysis: recent developments in numerical and experimental methods, edited by O. C. Zienkiewicz and G. Holister, Wiley, New York and London, 1965
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DOI: https://doi.org/10.1090/qam/302028
Article copyright: © Copyright 1971 American Mathematical Society


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