Finite element computation of hyperelastic rods in large displacements

P. Le Tallec; S. Mani; F. A. Rochinha

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1992)

  • Volume: 26, Issue: 5, page 595-625
  • ISSN: 0764-583X

How to cite

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Le Tallec, P., Mani, S., and Rochinha, F. A.. "Finite element computation of hyperelastic rods in large displacements." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 26.5 (1992): 595-625. <http://eudml.org/doc/193678>.

@article{LeTallec1992,
author = {Le Tallec, P., Mani, S., Rochinha, F. A.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {traction; flexion; torsion; orthogonal directors; Newton's type procedure},
language = {eng},
number = {5},
pages = {595-625},
publisher = {Dunod},
title = {Finite element computation of hyperelastic rods in large displacements},
url = {http://eudml.org/doc/193678},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Le Tallec, P.
AU - Mani, S.
AU - Rochinha, F. A.
TI - Finite element computation of hyperelastic rods in large displacements
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1992
PB - Dunod
VL - 26
IS - 5
SP - 595
EP - 625
LA - eng
KW - traction; flexion; torsion; orthogonal directors; Newton's type procedure
UR - http://eudml.org/doc/193678
ER -

References

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  1. [1] S. S. ANTMAN, Ordinary Differential Equations of One Dimensional Elasticity, Arch. Rat. Mech. Anal., 61, 1976, pp. 307-393. Zbl0354.73046MR418580
  2. [2] S. S. ANTMAN, C. S. KENNEY, Large Buckled States of Nonlinear Elastic Rods under Torsion, Thrust and Gravity, Arch. Rat. Mech. Anal., 76, 1981, pp. 289-338. Zbl0472.73036MR628172
  3. [3] J. SIMO, A Finite Stram Beam Formulation The Three-dimensional Dynamic Problem, Part 1, Comp. Meth. Appl. Mech. Eng., 49, 1985, pp. 55-70. Zbl0583.73037
  4. [4] J. F. BOURGAT, P. LE TALLEC, S. MANI, Modélisation et Calcul des Grands Déplacements de Tuyaux Elastiques en Flexion Torsion, J. Méc.Théor. Appl., 7, 1988, pp. 1-30. Zbl0671.73060MR959482
  5. [5] T. DUPONT, R. SCOTT, Polynomial Approximation of Functions in Sobolev spaces, Math. Comp., 34, 1980, pp. 441-463. Zbl0423.65009MR559195
  6. [6] H. KELLER, The bordering algorithm and path following near singular points of higher nullity, SIAM J. Sci. Stat. Comp., 4, 1983, pp. 573-582. Zbl0536.65017MR725653
  7. [7] T. J. R. HUGHES, J. WINGET, Finite Rotation Effects in Numerical Intégration of Rate Constitutive Equations Arising in Large Deformation Analysis, Int. J. Numer. Meth. Eng., 15, 1980, pp. 1413-1418. Zbl0463.73081MR601532
  8. [8] J. C. SIMO, L. VU QUOC, A Three-dimensional Finite Stram Rod Model Part II Computational Aspects, Comp. Meth. Appl. Mech. Engrg., 58, 1986, pp. 79-116. Zbl0608.73070
  9. [9] K. E. BISSHOP, D. E. DRUCKER, Large Deflections of Cantilever Beams, Quart. Appl. Math., 3, 1945, pp. 272-275. Zbl0063.00418MR13360

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