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Asymptotic study of elastic half-plane with embedded punch

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Warianty tytułu
PL
Analiza asymtotyczna zagadnienia kontaktowego stempla i półprzestrzeni sprężystej
Języki publikacji
EN
Abstrakty
EN
A contact problem for an elastic half-plane and an embedded rigid punch is studied. The employed mathematical model describes the behavior of a soil with embedded foundation. The analytical solution geverning the stress field behaviour is derived. Singular perturbation and complex analysis techniques are used.
PL
W pracy rozważono zagadnienie kontaktowe związane z oddziaływaniem sztywnego stempla i półprzestrzeni sprężystej. Analizowany problem może np. modelować fundamenty budowli usytuowane w podatnym gruncie. Sformułowano w postaci analitycznej pole naprężeń przy użyciu metody perturbacji osobliwych i techniki zmiennych zespolonych.
Rocznik
Strony
5--14
Opis fizyczny
Bibliogr. 26 poz., rys.
Twórcy
autor
Bibliografia
  • 1. Awrejcewicz J., Andrianov I.V., Manevitch L.I., 1998, Asymptotic Approaches in Nonlinear Dynamics: New Trends and Applications, Heidelberg, Springer-Verlag
  • 2. Balabukh L.I., Kolesnikov K.S., Zarubin V.S., Alfutov N.A., Usyukin B.I., Chizhov V.F., 1969, Principles of Structural Mechanics of Rockets, Moscow, Viszhaya Shkola [in Russian]
  • 3. Bauer S.M., Filippov S.B., Smirnov A.L., Tovstik P.E., 1994, Asymptotic methods in mechanics with applications to thin plates and shells. Asymptotic methods in mechanics, CRMP Proceedings and Lectures Notes, 3, 3-140
  • 4. Bogan Yu.A., 1983, Singular perturbed boundary value problem in plane theory of elasticity, Dinamika Sploshnoi Sredi, 61, 13-24 [in Russian]
  • 5. Bogan Yu.A., 1987, A certain class of singular perturbed boundary value problem in two-dimensional theory of elasticity, J. Appl. Mech. Tech. Phys., 28, 2, 138-143
  • 6. Christensen R.M., 1979, Mechanics of Composite Materials, New York, Wiley Interscience
  • 7. Everstine G.C., Pipkin A.C., 1971, Stress channeling in transversely isotropic elastic composites, ZAMP, 22, 5, 825-834
  • 8. Everstine G.C., Pipkin A.C., 1973, Boundary layers in fiberreinforced materials, J. Appl. Mech., 40, 518-522
  • 9. Glushkov E.V., Glushkova N.V., 1990, Determination of the dynamic contact stiffness of an elastic layer, PMM, J. Appl. Math. Mech., 54, 3, 393-397
  • 10. Gradshteyn I.S., Ryzhik I.M., 1965, Table of Integrals, Series and Products, New York-San Francisco-London, Academic Press
  • 11. Kosmodamianskii A.S., 1975, Plane Problems of the Theory of Elasticity for Plates with Holes, Cut-outs, and Bulges, Kiev, Visha Schkola [in Russian]
  • 12. Kosmodamianskii A.S., 1976, Stress State of Anisotropic Bodies with Holes or Cavities, Kiev-Donezk, Visha Schkola [in Russian]
  • 13. Kuhn P., 1956, Stresses in Aircraft Shell Structures, New York, McGraw-Hill
  • 14. Lekhnitskii S.G., 1968, Anisotropic Plates, 2 ed., New York, Gordon and Breach
  • 15. Manevitch L.I., Pavlenko A.V., 1991, Asymptotic Methods in Micromechanics of Composite Materials, Kiev, Naukova Dumka [in Russian]
  • 16. Manevitch L.I., Pavlenko A.V., Koblik S.G., 1979, Asymptotic Methods in the Theory of Elasticity of Orthotropic Body, Kiev-Donezk, Visha Schkola [in Russian]
  • 17. Manevitch L.I., Pavlenko A.V., Shamrovskii A.D., 1970, Application of the group theory methods to the dynamical problems for orthotropic plates, Proceedings of the 7th All-Union Conference on Plates and Shells, Dnepropetrovsk, 1969, Moscow, Nauka, 408-412 [in Russian]
  • 18. Muskhelishvili N.I., 1953, Some Basic Problems of the Mathematical Theory of Elasticity, Groningen, Noordhoff
  • 19. Shamrovskii A.D., 1997, Asymptotic-Group Analysis of Differential Equations in the Theory of Elasticity, Zaporozhie, State Engineering Academy [in Russian]
  • 20. Shamrovskii A.D., 1979, Asymptotic integration of static equation of the theory of elasticity in Cartesian coordinates with automated search of integration parameters, PMM, J. Appl. Math. Mech., 43, 5, 925-934
  • 21. Spencer A.J.M., 1974, Boundary layers in highly anisotropic plane elasticity, Int. J. Solids and Struct., 10, 1103-1123
  • 22. Ting T.C.T., 1996, Anisotropic Elasticity: Theory and Applications, Oxford, Oxford University Press
  • 23. Tyapin A.G., 1990, Influence of foundation depth location on reaction of construction under seismic excitation, Structural Mechanics and Calculation of Structures, 4, 32-37 [in Russian]
  • 24. Vorovich I.I., Alexandrov V.M., Babeshko V.A., 1974, Non-classical Mixed Boundary Value Problem of the Theory of Elasticity, Moscow, Nauka [in Russian]
  • 25. Walker M., 1964, The Schwarz-Christoffel Transformation and its Applications – a Simple Exposition, New York, Dower
  • 26. Zeng X., Cakmak A.S., 1984, Dynamic structure-soil interaction under the action of vertical ground motion. Part I: The axisymmetric problem, Soil Dynamics and Earthquake Engineering, 3, 4, 200-210
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWM2-0065-0040
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