Skip to main content
SpringerLink
Log in
Book cover

Numerical Structural Analysis pp 177–248Cite as

Mistakes and Pitfalls, Special Techniques to Build Finite Element Models

  • Chapter

Part of the book series: Foundations of Engineering Mechanics ((FOUNDATIONS))

Abstract

What we mean by fragmentation is an extraction of some part of a structure from it in order to consequently include only this extracted part, called a fragment, in a design model. Particularly, we above used this technique in Section 4.8. Now we are going to look at it from a bit more general point of view.

In ancient times every man knew both the purpose and the design of their devices: a hammer, a bow, an arrow. An ever progressing differentiation of labor abated gradually this individual knowledge, so in the modern industrial society there is a clear distinction between those who maintain devices (a workman, a technician) or use them (a man using an elevator, watching TV, driving a car) and those who know the design of the devices. S. Lem.

This is a preview of subscription content, 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   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Adini A, Clough RW (1960) Analysis of Plate Bending by the Finite Element Method: (Report submitted to the National Science Foundation, Grant G7337)

    Google Scholar 

  2. Aleksandrov AV, Laschenikov BY, Shaposhnikov NN, Smirnov VA (1976) Methods for analysis of bar systems, plates and shells using computers. Part 1.(in Russian). Stroyizdat, Moscow

    Google Scholar 

  3. Alekseev SA (1977) Quality of a statically determinate fixation of nodes and solids (in Russian) In: Alekseev SA, Novozhilov VV (eds) Analysis of spatial structures, vol. XVII.— Stroyzdat, Moskow, pp.131–140.

    Google Scholar 

  4. Alger J (1998) C++ for real programmers. Academic press, Boston

    Google Scholar 

  5. Allman DJ (1984) A compatible triangular element including vertex rotations for plane elasticity analysis. Computer and Structures, 12: 1–8

    Article  MATH  Google Scholar 

  6. Bereš E (1980) High accuracy interpolation of stresses. Acta techn.Acad. sci. hung, Vol.91, 4:257–263

    MATH  Google Scholar 

  7. Danilin AN, Zuyev NN, Snegovsky DV, Shalashilin VI (2000) On a use of finite element method to solve geometrically nonlinear problems (in Russian). In: CAD and graphics, 2: 60–64

    Google Scholar 

  8. Descloux J (1973) Méthode des éléments finis (in France). Ecole polytechnique Federale de Lausanne, Lausanne, Suisse

    Google Scholar 

  9. Fan Yuan-xun, Wang Szing (1979) On the application of an interpolation matrix for computation of stresses in finite elements. In: Numer. Meth. Geomech.: Proc. 3rd Int. Conf., Aachen, vol. 4, Rotterdam, pp. 1273–1280,

    Google Scholar 

  10. Feodosi’ev VI (1969) Ten lectures-conversations on strength of materials (in Russian). Nauka Publishing House, Moskow

    Google Scholar 

  11. Forsythe GE, Moler CB (1967) Computer solution of linear algebraic systems. Prentice-Hill Inc., Englwood Cliffs, N.J.

    MATH  Google Scholar 

  12. Gorodetsky AS, Perelmuter AV, Slivker VI (1989) An intelligent computational analysis software. A prognosis of new capabilities (in Russian). In: Computer-aided design systems for structural engineering. Issue 6. Budivelnyk, Kiev, pp. 43–56.

    Google Scholar 

  13. Grigolyuk EI, Shalashilin VI (1991) Problems of Nonlinear Deformation. Dordrecht et al. Kluwer

    Book  Google Scholar 

  14. Holub AI (1995) Enough Rope to Shoot Yourself in the Foot. Rules for C and C++ McGraw-Hill

    Google Scholar 

  15. Irons BM (1975) The superpatch theorem and other proposition relating to the patch tests. In: Proceedings of the 5th Canadian Congress of Applied Mechanics, Fredericton, pp. 651–652.

    Google Scholar 

  16. Janelidze GY, Panovko YG (1950) The Saint-Venant principle and its application in the plate and shell theory (in Russian). In: Umansky AA (ed) Analysis of spatial structures. Issue 1. Stroyzdat, Moskow, pp. 329–342.

    Google Scholar 

  17. Loubignac G, Cantin G, Touzot G (1977) Continuous Stress Fields in Finite Element Analysis. AIAA Journal, vol.15, 11: 1645–1647

    Article  Google Scholar 

  18. Lukasiewicz S (1979) Local loads in plates and shells. Noordhoff international publishing, Leyden

    Book  MATH  Google Scholar 

  19. Nazarov D (2000) A review of modern finite element analysis programs (in Russian). In: CAD and graphics, 2: 52–55

    Google Scholar 

  20. Oden JT (1972) Finite elements in nonlinear continua. McGraw-Hill, New York.

    Google Scholar 

  21. Oden JT, Reddy JN (1973) Note on an approximate method for computing consistent conjugate stresses in elastic finite elements. Int. J. Numer. Meth. Eng, 1: 55–61

    Article  Google Scholar 

  22. Panovko YG (1965) Mechanics of deformable solids: Modern concepts, mistakes and paradoxes (in Russian). Nauka Publishing House, Moskow

    Google Scholar 

  23. Papkovich PF (1979) Theory of elasticity (in Russian). Oborongiz, Leningrad

    Google Scholar 

  24. Petrov VV (1959) On the analysis of shallow shells with finite deflections (in Russian). In: Proceedings of high schools. Structural engineering, 1: 15–18

    Google Scholar 

  25. Sakharov AS, Altenbakh I (1982). Finite element method in mechanics of solids (in Russian). Vyscha shkola, Kiev

    Google Scholar 

  26. Schiermeier JE, Housner JM, Ranson JB, Aminpour MA, Stroud WJ (1996) The application of interface element to dissimilar meshes in global/local analysis. In: MSC 1996 World Users’ Conference Proceedings

    Google Scholar 

  27. Segerlind LJ (1984) Applied finite element analysis, 2nd ed. Wiley, New York

    Google Scholar 

  28. Semionov VA, Semionov PY (1998) Higher-accuracy finite elements for analysis of complex spatial systems (in Russian). Proc. XVI Intl. Conf. “Mathematical modeling in solid mechanics. Finite element and boundary element methods”, June 23–26, 1998. Vol. 1. St. Petersburg, pp. 68–69

    Google Scholar 

  29. Slivker VI (1982) Ritz’ method in problems of elasticity, based on a successive minimization of two functionals (in Russian). Izvestiya Akademii Nauk SSSR, Mekhanica Tverdogo Tela, Vol.17, 2: 57–65. Translation: Mechanics of Solids (1982), vol.17, 2:47–53.

    MathSciNet  Google Scholar 

  30. Srinivasan RS, Bobby W (1976) Buckling and postbuckling behavior of shallow shells. AIAA Journal, vol.14, 3: 289–290

    Article  Google Scholar 

  31. Strang G (1976) Linear algebra and its applications. Academic press, New York San Francisco London

    MATH  Google Scholar 

  32. Strang G, Fix GJ (1973) An analysis of the finite element method. Prentice-Hall Inc., Englewood Cliffs, N.J.

    MATH  Google Scholar 

  33. Stricklin JA, Haisler WE, Von Riesemann WA (1973) Evaluation of solution procedures for material and/or geometrically nonlinear structural analysis. AIAA Journal, vol.11, 3: 292–299

    Article  Google Scholar 

  34. Svojsky FM (1986) Inconsistent finite elements for analysis of plate spatial structures (in Russian). In: Application problems of strength and plasticity. Publishing house of Gorky University,Gorky, pp. 59–70

    Google Scholar 

  35. Timoshenko SP, Voinovsky-Kriger C (1959) Theory of plates and shells, McGraw-Hill, New York Toronto London

    Google Scholar 

  36. Turner MJ, Clough RW, Martin HC, Topp LJ (1956) Stiffness and Deflection Analysis of Complex Structures. Journal of the Aeronautical Sciences, 9: 805–823

    Article  Google Scholar 

  37. Volmir AS (1963) Stability of elastic systems (in Russian). Nauka Publishing House, Moskow

    Google Scholar 

  38. Vovkushevsky AV (1979) On computing of stress in finite element analysis of elasticity problems (in Russian). Bulletin of VNIIG, Vol.133. Energhiya, Leningrad, pp.18–22.

    Google Scholar 

  39. Young LC (1969) Lectures on the calculus of variations and optimal control theory. W.B. saunders Company, Philadelphia, London, Toronto

    Google Scholar 

  40. Zienkiewicz O (1977) The finite element method in engineering science. McGraw-Hill, London.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. SCAD Group, 13, Chokolovsky bld, room 508, 03186 GSP, Kiev, Ukraine

    Anatoly V. Perelmuter

  2. JSC Giprostroymost, 7, Yablochkova str, 197198, Saint-Petersburg, Russia

    Vladimir I. Slivker

Authors
  1. Anatoly V. Perelmuter
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Vladimir I. Slivker
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Perelmuter, A.V., Slivker, V.I. (2003). Mistakes and Pitfalls, Special Techniques to Build Finite Element Models. In: Numerical Structural Analysis. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36500-6_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-36500-6_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05621-5

  • Online ISBN: 978-3-540-36500-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation