On the dynamical behaviour of plates in unilateral contact with an elastic foundation: a finite element approach.
Luigi Ascione; Domenico Bruno; Renato S. Olivito
- Volume: 76, Issue: 2, page 93-106
- ISSN: 1120-6330
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topAscione, Luigi, Bruno, Domenico, and Olivito, Renato S.. "On the dynamical behaviour of plates in unilateral contact with an elastic foundation: a finite element approach.." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 76.2 (1984): 93-106. <http://eudml.org/doc/287227>.
@article{Ascione1984,
author = {Ascione, Luigi, Bruno, Domenico, Olivito, Renato S.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {dynamical problem; elastic plate; unilateral contact; Winkler subgrade; Mindlin's theory; effects of the shear stresses; rotatory inertia; existence; time integration; nonlinear motion equations; Newmark's method; interpolation functions; mesh parameter; time stepsize},
language = {eng},
month = {2},
number = {2},
pages = {93-106},
publisher = {Accademia Nazionale dei Lincei},
title = {On the dynamical behaviour of plates in unilateral contact with an elastic foundation: a finite element approach.},
url = {http://eudml.org/doc/287227},
volume = {76},
year = {1984},
}
TY - JOUR
AU - Ascione, Luigi
AU - Bruno, Domenico
AU - Olivito, Renato S.
TI - On the dynamical behaviour of plates in unilateral contact with an elastic foundation: a finite element approach.
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1984/2//
PB - Accademia Nazionale dei Lincei
VL - 76
IS - 2
SP - 93
EP - 106
LA - eng
KW - dynamical problem; elastic plate; unilateral contact; Winkler subgrade; Mindlin's theory; effects of the shear stresses; rotatory inertia; existence; time integration; nonlinear motion equations; Newmark's method; interpolation functions; mesh parameter; time stepsize
UR - http://eudml.org/doc/287227
ER -
References
top- FICHERA, G. (1972) - Boundary Value Problems of Elasticity with Unilateral Costraints, in «Encyclopedia of Physics», Vol. VIa/2, Mechanics of Solid II, 391-423, Springer-Verlag.
- DUVAUT, G. and LIONS, J.L. (1972) - Les Inéquations en Mécanique et en Phisique, Dunod, Paris. Zbl0298.73001
- GLOWINSKI, R., LIONS, J.L. and TREMOLIÈRES, R. (1976) - Analyse Numérique des Inéquations Variationnelles, Dunod, Paris. Zbl0358.65091
- BREZZI, F., HAGER, W.W. and RAVIART, P.A. (1977-78) - Error Estimates for the Finite Element Solution of Variational Inequalities, Part. I and II, «Numer. Math.», 28, 431-443, 31, 1-16. Zbl0369.65030
- ODEN, J.T. (1981) - Mixed Finite Element Approximations via Interior and Exterior Penalties for Contact Problems in Elasticity, Int. Symp. on Hybrid and Mixed Finite Element Methods, Georgia Institute of Technology, Atlanta, Georgia, April 8-10.
- WEITSMANN, Y. (1970) - On Foundation that Reacts in Compression Only, «J. Appl. Mech.» 37, 1019-1030.
- TOSCANO, R. and MACERI, A. (1980) - On the Problem of the Elastic Plate on One-side Foundation, «Meccanica», 15 (2), 95-106. Zbl0482.73036
- PONAGIOTOPOULOS, P.D. and TALASLIDIS, D. (1980) - A linear Analysis Approach to the Solution of Certain Classes of Viariational Inequality Problems in Structurals Analysis, «Int. J. Sol. Struc.», 16, 991-1005.
- VILLAGGIO, P. (1983) - A Free Boundary Value Problem in Plate Theory, «J. Appl. Mech.» to appear. Zbl0545.73097
- ASCIONE, L., GRIMALDI, A. and MACERI, F. (1983) - Modelling and Analysis of Beam on Tensionless Foundations, «Int. J. Modelling and Simulation», 3 (2).
- GLADWELL, Gf.M.L. and IYER, K.R.P. (1974) - Unbonded Contact Between a Circular Plate and an Elastic Half-Space, «J. of Elasticity», 4 (2), 115-130. Zbl0286.73016
- ASCIONE, L. and GRIMALDI, A. (1983) - Unilateral Contact Between a Plate and an Elastic Foundation, «Meccanica» to appear.
- ASCIONE, L., OLIVITO, R.S. and SPADEA, G. (1983) - The Unbonded Conctact Problem of a Rectangular Plate Resting on an Elastic Foundation, «Acc. Naz. dei Lincei», 6, Vol. LXXIV, giugno. Zbl0565.73100
- PETERSON, H. (1978) - Application of the Finite Element Method in the Analysis of Contact Problems, in «Finite Elements in Nonlinear Mechanics» (Eds. Bergan et al.), TABIR Publishers, 845, 862, Trondheim.
- FREDRIKSSON, B., RYDHOLM, G. and SJÖBLOM, P. (1978) - Variational Inequalities in Structural Mechanics with Emphasis on Contact Problems, in «Finite Elements in Nonlinear Mechanics» (Eds. Bergan et al.), TABIR Publishers, 863-884, Trondheim. Zbl0409.73080
- HUGHES, T.J.R., TAYLOR, R.L. and KANOKNUKULCHAI, W. (1977) - A Finite Element Method for Large Displacement Contact and Impact Problems, in «Formulation and Computational Algorithms in Finite Element Analysis» (Eds. Bathe et al.), MIT Press, 468-495, Massachusetts.
- REDDY, J.N. (1983) - An Introduction to the Finite Element Method, McGraw-Hill, New York.
- TALASLIDIS, D. and PANAGIOTOPOULOS, P.D. (1982) - A Linear Finite Element Approach to the Solution of the Variational Inequalities Arising in Contact Problems of Structural Dynamics, «Int. J. Num. Meth. Engng.», vol. 0.00. Zbl0489.73078
- MINDLIN, R.D. (1951) - Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic Elastic Plates, «J. Appl. Mech.», 18, 31-88. Zbl0044.40101
- BATHE, K.J. and WILSON, E.L. (1976) - Numerical Methods in Finite Element Analysis, Prentice-Hall, Inc., Englewood Cliffs, New Jersey.
- GRIMALDI, A. and REDDY, J.N. (1982) - On Delamination in Plates: A Unilateral Contact Approach, Virginia Polytechnic Institute and State University, Rep. VPI-E 83.23 Blacksburg, Virginia.
- ASCIONE, L. and OLIVITO, R.S. (1983) - Unbonded Contact of a Rectangular Plate on an Elastic Half-Space, Università della Calabria, Rep. n. 50, April.
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