Skip to main content
SpringerLink
Log in

Mindlinsche finite Plattenelemente Marguerre-Mindlinsche Schalenelemente

  • Chapter
Finite Elemente Programme für Platten und Schalen

  • 156 Accesses

Zusammenfassung

Das Ziel dieses Kapitels liegt darin,

  • einen kurzen Überblick über verschiedene Plattenelemente zu geben, die auf der Mindlinschen Plattentheorie beruhen, das Heterosis Plattenelement zu beschreiben,

  • ein dokumentiertes Programm mit dem Namen MINDLIN zu präsentieren, in dem das Heterosis Element implementiert ist,

  • Benutzeranweisungen für das Programm MINDLIN bereitzustellen und zusätzlich Beispiele, die den Gebrauch des Programmes und das Funktionieren des Heterosis Plattenelementes demonstrieren,

  • das Marguerre-Mindlinsche Schalenelement und das Programm QUAD9 vorzustellen.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literaturverzeichnis

  1. Mindlin, R.D.: Influence of rotary inertia and shear on flexural motions of isotropic elastic plates. J. Appl. Mech. 18 (1951) 31–38

    MATH  Google Scholar 

  2. Zienkiewicz, O.C.; Taylor, R.L.; Too, J.M.: Reduced integration in general analysis of plates and shells. Int. J. Num. Meth. Eng. 3 (1971) 275–290

    Article  MATH  Google Scholar 

  3. Hinton, E.; Razzaque, A.; Zienkiewicz, O.C.; Davies, J.D.: Simple finite element solution vor plates of homogeneos, sandwich and cellular construction. Proc. ICE, Part II 59 (1975) 43–65

    Article  Google Scholar 

  4. Zienkiewicz, O.C.; Hinton, E.: Reduced integration, function smoothing and nonre-ference in finite element analysis (with special reference to thick plates). J. Franklin Institute 302

    Google Scholar 

  5. Pugh, E.D.L.; Hinton, E.; Zienkiewicz, O.C.: A study of quadrilateral plate bending elements with reduced integration. Int. J. Num. Meth. Eng. 12 (1978) 1059–1079

    Article  MATH  Google Scholar 

  6. Hughes, R.J.R.; Cohen, M.; Haroun, M.: Reduced and selektive integration techniques in the finite element analysis of plates. Nucl. Eng. and Design 46 (1978) 203–222

    Article  Google Scholar 

  7. Hinton, E.; Salonen, E.M.; Bicanic, N.: A study of locking phenomena in isoparametric, Mafelap Conf. Brunei Univ., Uxbrigde 1978, Proc. (ed. J.R. Whiteman). London: Academic Press 1979

    Google Scholar 

  8. Malkus, D.S.; Hughes, R.J.R.: Mixed finite elements — reduced and selektive integration techniques: a unification of concepts. Comp. Meth. Appl. Mech. Eng. 15 (1978) 63–81

    Article  MATH  Google Scholar 

  9. Hughes, T.J.R.; Tezduyar, T.E.: Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element. ASME. J. Appl. Mech. 48 (1981) 587–596

    Article  MATH  Google Scholar 

  10. Tessler, A.: On a conforming Mindlin-type plate element, 4th Mafelap Conf. Brunei Univ., Uxbridge 1981, Proc. (ed. J.R. Whiteman). London: Academic Press 1982

    Google Scholar 

  11. MacNeal, R.H.: A simple quadrilateral shell element. Comput. and Structures 8 (1978) 175–183

    Article  MATH  Google Scholar 

  12. Tessler, A.; Hughes, T.J.R.: An improved treatment of transverse shear in the Mindlin-type four-node quadrilateral element. Comp. Meth. Appl. Mech. Eng. 39 (1983) 311–335

    Article  MATH  Google Scholar 

  13. Dvorkin, E.N.; Bathe, K.J.: A continuum mechanics based four-node shell element for general non-linear analysis. Eng. Comp. 1 (1984) 77–88

    Article  Google Scholar 

  14. Bathe, K.J.; Dvorkin, E.N.: A four-node plate bending element based on Mindlin/Reis-sner plate theory and a mixed interpolation. Int. J. Num. Meth. Eng. (in press)

    Google Scholar 

  15. Crisfield, M.A.: A quadratic Mindlin element using shear constraints. Comput. and Structures (in press)

    Google Scholar 

  16. Park, K.C.; Flaggs, D.L.: A rank-sufficient four-noded plate element with one-point integration, part I: element design. Comp. Meth. Appl. Mech. and Eng. (in press)

    Google Scholar 

  17. Belytschko, T.; Tsay, C.S.; Liu, W.K.: A stabilisation matrix for the bilinear Mindlin plate element. Comp. Meth. Appl. Mech. Eng. 29 (1981) 313–327

    Article  MathSciNet  MATH  Google Scholar 

  18. Bathe, K.J.: Finite element procedures in engineering analysis. Englewood Cliffs:Prentice-Hall 1982

    Google Scholar 

  19. Hughes, T.J.R.; Cohen, M.: The heterosis finite element for plate bending. Comput. and Structures 9 (1978) 445–450

    Article  MATH  Google Scholar 

  20. Hinton, E.; Scott, F.C.; Ricketts, R.E.: Local least squares smoothing for parabolic isoparametric elements. Int. J. Num. Meth. Eng. 9 (1975) 235–238

    Article  Google Scholar 

  21. Hinton, E.; Owen, D.R.J.: Finite element programming. London: Academic Press 1977

    Google Scholar 

  22. Owen, D.R.J.; Hinton, E.: Finite elements in plasticity: theory and practice. Swansea: Pineridge Press 1981

    Google Scholar 

  23. Hussainy, S.A.; Srinivas, S.: Flexure of rectangular composite plates. Fibre Science and Technology 8 (1975) 59–76

    Article  Google Scholar 

  24. Srinivas, S.; Rao, A.K.: Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates. Int. J. Solids Structures 6 (1970) 1463–1481

    Article  MATH  Google Scholar 

  25. Huang, H.C.; Hinton, E.: A nine node Lagrangian Mindlin plate element with enhanced shear interpolation. Engineering Computations 1 (1984) 369–379

    Article  Google Scholar 

  26. Huang, H.C.; Hinton, E.: Shear forces and twisting moments in plates using Mindlin elements. Engineering Computations 3 (1986) 129–142

    Article  MathSciNet  Google Scholar 

  27. Hinton, E.; Huang, H.C.: A family of quadrilateral Mindlin plate elements with substitute shear strain fields. Comput. and Structures 23 (1986) 409–431

    Article  Google Scholar 

  28. Aleksovski, G.; Hinton, E.: A study of 9-node Lagrange Mindlin/Reissner plate elements with modified representation of transverse shear.

    Google Scholar 

  29. Hinton, E.: Dynamic analysis of plates and shells. Swansea, Pineridge Press 1988

    Google Scholar 

  30. Hughes, Th., Jr.; Hinton, E.: Finite element methods for plate and shell structures. Vol. 1: Element Technology. Vol. 2: Formulations and Algorithmus. Pineridge Press 1986

    Google Scholar 

  31. Jetteur, Ph.; Frey, F.: A four node Marguerre element for non-linear shell analysis. Engineering Computations 3 (1986) 276–282

    Article  Google Scholar 

  32. Marguerre, K.: Neuere Festigkeitsprobleme des Ingenieurs. Springer Verlag 1950

    MATH  Google Scholar 

  33. Krause, G.: Marguerre-Mindlin shallow shell elements. Engineering Computations 6 (1989)

    Google Scholar 

  34. Robinson, J.: Cantilivered curved beam problem for evaluating shell elements. Finite Element News 2 (1989)

    Google Scholar 

  35. Huang, H.-Ch.: Static and dynamic analyses of plates and shells. Springer Verlag 1989

    Book  Google Scholar 

Download references

Authors
  1. E. Hinton
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Krause
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Dept. of Civil Engineering, University College of Swansea, UK

    E. Hinton  & D. R. J. Owen  & 

  2. Bunsenstraße 7, 6806, Viemheim, Deutschland

    Gerhard Krause

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Hinton, E., Krause, G. (1990). Mindlinsche finite Plattenelemente Marguerre-Mindlinsche Schalenelemente. In: Hinton, E., Owen, D.R.J., Krause, G. (eds) Finite Elemente Programme für Platten und Schalen. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50182-1_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-50182-1_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51546-3

  • Online ISBN: 978-3-642-50182-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation