The unbonded contact problem of a rectangular plate resting on an elastic foundation

Luigi Ascione; Renato S. Olivito; Giuseppe Spadea

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1983)

  • Volume: 75, Issue: 1-2, page 42-55
  • ISSN: 1120-6330

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Ascione, Luigi, Olivito, Renato S., and Spadea, Giuseppe. "The unbonded contact problem of a rectangular plate resting on an elastic foundation." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 75.1-2 (1983): 42-55. <http://eudml.org/doc/287210>.

@article{Ascione1983,
author = {Ascione, Luigi, Olivito, Renato S., Spadea, Giuseppe},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {unbounded contact; static equilibrium; rectangular elastic plate; frictionless unilateral contact; elastic foundation; Winkler subgrade; isotropic homogeneous elastic halfspace; penalty type approximations; finite element discretization; convergence; efficience},
language = {eng},
month = {7},
number = {1-2},
pages = {42-55},
publisher = {Accademia Nazionale dei Lincei},
title = {The unbonded contact problem of a rectangular plate resting on an elastic foundation},
url = {http://eudml.org/doc/287210},
volume = {75},
year = {1983},
}

TY - JOUR
AU - Ascione, Luigi
AU - Olivito, Renato S.
AU - Spadea, Giuseppe
TI - The unbonded contact problem of a rectangular plate resting on an elastic foundation
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1983/7//
PB - Accademia Nazionale dei Lincei
VL - 75
IS - 1-2
SP - 42
EP - 55
LA - eng
KW - unbounded contact; static equilibrium; rectangular elastic plate; frictionless unilateral contact; elastic foundation; Winkler subgrade; isotropic homogeneous elastic halfspace; penalty type approximations; finite element discretization; convergence; efficience
UR - http://eudml.org/doc/287210
ER -

References

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  1. Glowinski, R., Lions, J.L. and Trémolières, R. (1976) - Analyse Numérique des Inéquations Variationnelles, Dunod, Paris. Zbl0358.65091
  2. Oden, J.T. (1981) - Penalty-finite element approximations of unilateral problems in elasticity, «Approximation Theory», Vol. III, Edited by G. Lorenz, pp. 1-5, Academic Press, N.Y. MR602788
  3. Oden, J.T. (1981) - Mixed finite element approximations via interior and exterior penalties for contact problems in elasticity, «International Symposium on Hybrid and Mixed Finite Element Methods», Atlanta, Georgia, April 8-10. Zbl0493.73099
  4. Oden, J.T. and Kikuchi, N. (1981) - Finite elements methods for constrained problems in elasticity, TICOM Report 81-10, June. Zbl0486.73068MR664669DOI10.1002/nme.1620180507
  5. Ascione, L. and Grimaldi, A. (1982) - Penalty formulations of the unilateral contact problem between plates and an elastic half-space, in «Penalty-Finite Element Methods in Mechanics» - AMD - Vol. 51 Edited by J. N. Reddy. Zbl0504.73079MR686621
  6. Selvadurai, A.P.S. (1979) - Elastic Analysis of Soil-Foundation Interaction, Elsvier, Amsterdam. 
  7. Svec, O.J. (1974) - The unbonded contact problem of a plate on the elastic half-space, «Computer Methods in Appl. Mech. and Eng.», 3, 105-113. Zbl0271.73049
  8. Grimaldi, A. and Reddy, J.N. (1982) - On the delamination in plates: a unilateral contact approach, Report VPI-E-83-23, Virginia Polytechnic Institute and State University Blacksburg, Virginia. Zbl0543.73141
  9. Mindlin, R.D. (1951) - Influence of rotary inertia and shear on flexural motions of isotropic elastic plate, «J. Appl. Mech. (Trans. A.S.M.E.)», 18, 31-88. Zbl0044.40101
  10. Ascione, L. and Grimaldi, A. (1982) - A variational formulation for the unilateral contact between plates and elastic half-space, «Rep. Dept. of Structures, Univ. of Calabria», N° 44. Zbl0504.73079
  11. Ascione, L. and Grimaldi, A. (1982) - Unilateral contact between a plate and an elastic foundation, «Meccanica», to appear». Zbl0546.73095MR767049DOI10.1007/BF01743736
  12. Ascione, L. and Olivito, R.S. (1983) - Unbonded contact of a rectangular plate on an elastic half-space, «Rep. Dept. of Structures, Univ. of Calabria», N° 50. 

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