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Constant strain finite elements

For isochoric strain fields

Finite Elements

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Part of the Lecture Notes in Mathematics book series (LNM,volume 704)

Keywords

  • Strain Energy Density
  • Hydrostatic Stress
  • Incompressible Material
  • High Order Element
  • Simplex Element

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. J.H. Argyris, P.C. Dunne, T. Angelopoulos and B. Bichat, Large natural strains and some special difficulties due to non-linearity and incompressibility in finite elements, Comp. Meth. Appl. Mech. Eng. 4 (1974), 220–278.

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  2. J.C. Nagtegaal, D.M. Parks and J.R. Rice, On numerically accurate finite element solutions in the fully plastic range, Comp. Meth. Appl. Mech. Eng. 4 (1974), 153–177.

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  3. J.H. Argyris, P.C. Dunne, Th.L. Johnsen and M. Müller, Linear systems with a large number of sparse constraints with applications to incompressible materials, Comp. Meth. Mech. Eng. 10 (1977), 105–132.

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  4. E.G. Thompson, Average and complete incompressibility in the finite element method, Int. J. Num. Meth. Eng. 9 (1975), 925–932.

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  7. R. Temam, Some finite elements in fluid flow, AGARD Lecture Series No. 86 on Computational Fluid Dynamics, AGARD (1977), 6-1 to 6-14.

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  8. J.T. Oden, Finite elements in non-linear continua (McGraw Hill, New York, 1972).

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  9. M. Crouzeix and O.A. Raviart, Conforming and non-conforming finite element methods for solving the stationary Stokes equations, R.A.I.R.O., R.3, (1973) 33–76.

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  10. J.H. Argyris and P.C. Dunne, A simple theory of geometrical stiffness with applications to beam and shell problems, Lecture Notes in Physics, Vol. 58, Ed. R. Glowinski and J.L. Lions, (Springer-Verlag, Berlin, Heidelberg, New York, 1976).

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© 1979 Springer-Verlag

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Argyris, J.H., Dunne, P.C. (1979). Constant strain finite elements. In: Glowinski, R., Lions, J.L., Laboria, I. (eds) Computing Methods in Applied Sciences and Engineering, 1977, I. Lecture Notes in Mathematics, vol 704. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063616

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  • DOI: https://doi.org/10.1007/BFb0063616

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09123-3

  • Online ISBN: 978-3-540-35411-6

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