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Implementation of dual grid technique in BEM analysis of 3D contact problems

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Konferencja
International Conference on Numerical Methods and Continuum Mechanics (7 ; October 6-9, 1998, Stará Lesná ; High Tatras ; Slovakia)
Języki publikacji
EN
Abstrakty
EN
The work is devoted to the practical application of dual grids in the boundary element method (BEM). Definitions of dual grids on the plane are given and algorithm constructing dual grid for a given triangulation is described. The problem of utilizing two numerical solutions of one problem defined on the couple of dual grids is considered and the results of this technique are demonstrated. The examples from geomechanics modelling the contact interaction of shallow foundations and elastic bases are presented.
Rocznik
Strony
167--184
Opis fizyczny
Bibliogr. 21 poz., rys., tab., wykr.
Twórcy
autor
  • Voronezh State Academy of Architecture and Construction, Dept. of Mathematics, 20-letia Oktyabrya 84, 394006 Voronezh, Russia
autor
  • Voronezh State Academy of Architecture and Construction, Dept. of Mathematics, 20-letia Oktyabrya 84, 394006 Voronezh, Russia
Bibliografia
  • [1] V.M. Abramov. Investigation of eccentric loading of circular punch on elastic half-space (in Russian). Doklady Acad. Science-DAN USSR, 23(8): 759-763, 1939.
  • [2] S.M. Aleynikov. The spatial contact problem for a rigid foundation on the elastic half-space (in Russian). /m Vuzov. Construction, N 4: 52-59, 1997.
  • [3] S.M. Aleinikov, A.A. Sedaev. Dual grids and their application in the Boundary Element Method. Computational Mathematics and Mathematical Physics, 38: 228-241, 1999.
  • [4] S.M. Aleynikov, S.V. Ikonin. Patent of Russian Federation N 2043462 "Foundation for buildings of tower type on the wedge-shaped base", 1995.
  • [5] S.M. Aleynikov, S.V. Ikonin. Prevention of non-uniform settlement of foundations. Building Research Journal, 44: 69-89, 1996.
  • [6] S.M. Aleynikov, S.V. Ikonin. Control of foundation shape and loading parameters to preserve uniform settlement. Commun. Numer. Methods Eng., 12: 745-754, 1996.
  • [7] U.A. Antipov. The exact solution for the problem of annular punch impression into a half-space (in Russian). Doklady Acad. Science-DAN Ukraine SSR, Ser. A, N 7: 29-33, 1987.
  • [8] C.A. Brebbia, J.C.F. Telles, L.C. Wrobel. Boundary Element Techniques. Springer-Verlag, Berlin, 1984.
  • [9] K.E. Egorov. Calculation of bed for foundation with ring footing. Proc. VI mt. Conf. Soil Mech. Foundn. Engn., 2: 41-45, 1965.
  • [10] A. Foces, J.A. Garrido, F. Paris. Three-dimesional contact using BEM. In: M.H. Aliabadi, C.A. Brebbia, eds., Computational Methods in Contact Mechanics, 191-231. Computational Mechanics Publications, Southampton, 1993.
  • [11] L.A. Galin. Contact Problems in the Theory of Elasticity. Translated by H. Moss. North Carolina State College, Depart. of Math., USA, 1961.
  • [12] F. Harary. Graph Theory (in Russian). Mir, Moscow, 1973.
  • [13] P.P. Ivanov. Grounds and Bases of Hydrotechnical Structures. Visshaya Shkola, Moscow, 1985.
  • [14] B. Joe. Delaunay Triangular grids in convex polygons. SIAM J. Sci. Stat. Comput., 7: 514-539, 1986.
  • [15] K.L. Johnson. Contact Mechanics, Cambridge Univ. Press, 1985.
  • [16] Y.M. Kizyma. Impression of circular punch into elastic layer provided tangential contact tension. Applied Mechanics, 9(8): 112-116, 1973.
  • [17] K.W. Man. Contact Mechanics Using Boundary Elements. Computational Mechanics Publications, Southampton, 1994.
  • [18] G. Manolis, I. Devies, eds. Boundary Element Techniques in Geomechanics. Computational Mechanics Publications, Southampton, 1993.
  • [19] Z. Olesiak. Annular punch on elastic semi-space. Arch. Mech. Stos. 17: 633-648, 1965.
  • [20] F.P. Preparata, M.I. Shamos. Computational Geometry: Introduction. Springer-Verlag, New York-Berlin, 1985.
  • [21] V.L. Rvachev, V.S. Procenko. Contact Problems of the Theory of Elasticity for Non-classical Domains (in Russian). Naukova Dumka, Kiev, 1977.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0004-0003
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