Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Engineering with Computers
Erschienen in: Engineering with Computers 4/2020

07.05.2019 | Original Article

Formulation and evaluation of a new four-node quadrilateral element for analysis of the shell structures

verfasst von: Hosein Sangtarash, Hamed Ghohani Arab, Mohammad Reza Sohrabi, Mohammad Reza Ghasemi

Erschienen in: Engineering with Computers | Ausgabe 4/2020

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Shell structures are lightweight constructions which are extensively used by engineering. Due to this reason presenting an appropriate shell element for analysis of these structures has become an interesting issue in recent decades. This study presents a new rectangular flat shell element called ACM-SQ4 obtained by combining bending and membrane elements. The bending element is a well-known plate bending element called ACM which is based on the classical thin-plate theory and the membrane element is an unsymmetric quadrilateral element called US-Q4θ, the test function of this element is improved by the Allman-type drilling DOFs and a rational stress field is used as the element’s trial function. Finally, some numerical benchmark problems are used to evaluate the performance of the proposed flat shell element. The obtained results show that despite its simple formulation, the proposed element has reasonable accuracy and acceptable convergence in comparison with other shell elements.
Vorheriger Artikel Finite element analysis of functionally graded hyperelastic beams under plane stress
Nächster Artikel Model-based damage detection using constraint forces at measurements

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Jetzt informieren
Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Chapelle D, Bathe KJ (2010) The finite element analysis of shells-fundamentals, 2nd edn. Springer, Science & Business Media, New YorkMATH
2.
Carrera E, Petrolo M (2012) Refined beam elements with only displacement variables and plate/shell capabilities. Meccanica 47:537–556MathSciNetMATH
3.
Nguyen-Hoang S, Phung-Van P, Natarajan S, Kim HG (2016) A combined scheme of edge-based and node-based smoothed finite element methods for Reissner–Mindlin flat shells. Eng Comput 32:267–284
4.
Hernández E, Spa C, Surriba S (2018) A non-standard finite element method for dynamical behavior of cylindrical classical shell model. Meccanica 53:1037–1048MathSciNetMATH
5.
Yuqi L, Jincheng W, Ping H (2002) A finite element analysis of the flange earrings of strong anisotropic sheet metals in deep-drawing processes. Acta Mech Sin 18:82–91
6.
Zienkiewicz OC, Taylor RL (1977) The finite element method, vol 36. McGraw-Hill, London
7.
Stolarski H, Belytschko T, Carpenter N, Kennedy JM (1984) A simple triangular curved shell element. Eng Comput 1:210–218
8.
Surana KS (1982) Geometrically nonlinear formulation for the axisymmetric shell elements. Int J Numer Methods Eng 18:477–502MathSciNetMATH
9.
Li LM, Li DY, Peng YH (2011) The simulation of sheet metal forming processes via integrating solid-shell element with explicit finite element method. Eng Comput 27:273–284
10.
Gallagher RH (1976) Problems and progresses in thin shell finite element analysis. In: Ashwell DG, Gallagher RH (eds) Finite element for thin shells and curved members. Wiley, New York
11.
Batoz JL, Hammadi F, Zheng C, Zhong W (2000) On the linear analysis of plates and shells using a new-16 degrees of freedom flat shell element. Comput Struct 78:11–20
12.
Batoz JL, Zheng CL, Hammadi F (2001) Formulation and evaluation of new triangular, quadrilateral, pentagonal and hexagonal discrete Kirchhoff plate/shell elements. Int J Numer Methods Eng 52:615–630MathSciNetMATH
13.
Zengjie G, Wanji C (2003) Refined triangular discrete Mindlin flat shell elements. Comput Mech 33:52–60MATH
14.
Sabourin F, Carbonniere J, Brunet M (2009) A new quadrilateral shell element using 16 degrees of freedom. Eng Comput 26:500–540MATH
15.
Wang Z, Sun Q (2014) Corotational nonlinear analyses of laminated shell structures using a 4-node quadrilateral flat shell element with drilling stiffness. Acta Mech Sin 30:418–429MathSciNetMATH
16.
Zhang Y, Zhou H, Li J, Feng W, Li D (2011) A 3-node flat triangular shell element with corner drilling freedoms and transverse shear correction. Int J Numer Meth Eng 86:1413–1434MathSciNetMATH
17.
Hamadi D, Ayoub A, Abdelhafid O (2015) A new flat shell finite element for the linear analysis of thin shell structures. Eur J Comput Mech 24:232–255
18.
Shang Y, Cen S, Li CF (2016) A 4-node quadrilateral flat shell element formulated by the shape-free HDF plate and HSF membrane elements. Eng Comput 33:713–741
19.
Allman DJ (1984) A compatible triangular element including vertex rotations for plane elasticity analysis. Comput Struct 19:1–8MATH
20.
Providas E, Kattis MA (2000) An assessment of two fundamental flat triangular shell elements with drilling rotations. Comput Struct 77:129–139
21.
Pimpinelli G (2004) An assumed strain quadrilateral element with drilling degrees of freedom. Finite Elem Anal Des 41:267–283
22.
Madeo A, Zagari G, Casciaro R (2012) An isostatic quadrilateral membrane finite element with drilling rotations and no spurious modes. Finite Elem Anal Des 50:21–32
23.
Choi N, Choo YS, Lee BC (2006) A hybrid Trefftz plane elasticity element with drilling degrees of freedom. Comput Methods Appl Mech Eng 195:4095–4105MATH
24.
Rojas F, Anderson JC, Massone LM (2016) A nonlinear quadrilateral layered membrane element with drilling degrees of freedom for the modeling of reinforced concrete walls. Eng Struct 124:521–538
25.
Nestorović T, Marinković D, Shabadi S, Trajkov M (2014) User defined finite element for modeling and analysis of active piezoelectric shell structures. Meccanica 49:1763–1774MathSciNetMATH
26.
Areias P, de Sá JC, Cardoso R (2015) A simple assumed-strain quadrilateral shell element for finite strains and fracture. Eng Comput 31:691–709
27.
Kim KD, Liu GZ, Han SC (2005) A resultant 8-node solid-shell element for geometrically nonlinear analysis. Comput Mech 35:315–331MATH
28.
Li ZX, Izzuddin BA, Vu-Quoc L (2008) A 9-node co-rotational quadrilateral shell element. Comput Mech 42:873MATH
29.
Li Z, Xiang Y, Izzuddin BA, Vu-Quoc L, Zhuo X, Zhang C (2015) A 6-node co-rotational triangular elasto-plastic shell element. Comput Mech 55:837–859MathSciNetMATH
30.
Shang Y, Ouyang W (2018) 4-node unsymmetric quadrilateral membrane element with drilling DOFs insensitive to severe mesh-distortion. Int J Numer Methods Eng 113:1589–1606MathSciNet
31.
Adini A, Clough RW (1961) Analysis of plate bending by the finite element method. Report to the National Science Foundation, G 7337, Arlington
32.
Cook RD, Malkus DS, Plesha ME, Witt RJ (1974) Concepts and applications of finite element analysis, vol 4. Wiley, New York
33.
Timoshenko SP, Woinowsky-Krieger S (1969) Theory of plates and shells, 2nd edn. McGraw-Hill, New YorkMATH
34.
Melosh RJ (1963) Basis for derivation of matrices for the direct stiffness method. AIAA J 1:1631–1637
35.
Lee Y, Lee PS, Bathe KJ (2014) The MITC3+ shell element and its performance. Comput Struct 138:12–23
36.
Dvorkin EN, Bathe KJ (1984) A continuum mechanics based four-node shell element for general non-linear analysis. Eng Comput 1:77–88
37.
Ko Y, Lee PS, Bathe KJ (2017) A new 4-node MITC element for analysis of two-dimensional solids and its formulation in a shell element. Comput Struct 192:34–49
38.
Ibrahimbegović A, Frey F (1994) Stress resultant geometrically non-linear shell theory with drilling rotations. Part III: linearized kinematics. Int J Numer Methods Eng 37:3659–3683MATH
39.
Simo JC, Fox DD, Rifai MS (1989) On a stress resultant geometrically exact shell model. Part II: the linear theory; computational aspects. Comput Methods Appl Mech Eng 73:53–92MATH
40.
Liu WK, Law ES, Lam D, Belytschko T (1986) Resultant-stress degenerated-shell element. Comput Methods Appl Mech Eng 55:259–300MATH
41.
Belytschko T, Leviathan I (1994) Physical stabilization of the 4-node shell element with one point quadrature. Comput Methods Appl Mech Eng 113:321–350MATH
42.
Alves de Sousa RJ, Cardoso RP, Fontes Valente RA, Yoon JW, Grácio JJ, Natal Jorge RM (2005) A new one-point quadrature enhanced assumed strain (EAS) solid-shell element with multiple integration points along thickness: part I—geometrically linear applications. Int J Numer Meth Eng 62:952–977MATH
43.
Wang C, Hu P, Xia Y (2012) A 4-node quasi-conforming Reissner–Mindlin shell element by using Timoshenko’s beam function. Finite Elem Anal Des 61:12–22MathSciNet
44.
Norachan P, Suthasupradit S, Kim KD (2012) A co-rotational 8-node degenerated thin-walled element with assumed natural strain and enhanced assumed strain. Finite Elem Anal Des 50:70–85MathSciNet
45.
Alves de Sousa RJ, Natal Jorge RM, Fontes Valente RA, César de Sá JMA (2003) A new volumetric and shear locking-free 3D enhanced strain element. Eng Comput 20:896–925MATH
46.
César de Sá JM, Natal Jorge RM, Fontes Valente RA, Almeida Areias PM (2002) Development of shear locking-free shell elements using an enhanced assumed strain formulation. Int J Numer Methods Eng 53:1721–1750MATH
47.
Argyris JH, Papadrakakis M, Apostolopoulou C, Koutsourelakis S (2000) The TRIC shell element: theoretical and numerical investigation. Comput Methods Appl Mech Eng 182:217–245MATH
48.
Abed-Meraim F, Combescure A (2007) A physically stabilized and locking-free formulation of the (SHB8PS) solid-shell element. Eur J Comput Mech 16:1037–1072MATH
49.
Nguyen-Thanh N, Rabczuk T, Nguyen-Xuan H, Bordas SP (2008) A smoothed finite element method for shell analysis. Comput Methods Appl Mech Eng 198:165–177MATH
50.
Moreira RAS, Rodrigues JD (2011) A non-conforming plate facet-shell finite element with drilling stiffness. Finite Elem Anal Des 47:973–981
51.
Cook RD (1993) Further development of a three-node triangular shell element. Int J Numer Methods Eng 36:1413–1425MATH
52.
Felippa CA (2003) A study of optimal membrane triangles with drilling freedoms. Comput Methods Appl Mech Eng 192:2125–2168MATH
53.
Shin CM, Lee BC (2014) Development of a strain-smoothed three-node triangular flat shell element with drilling degrees of freedom. Finite Elem Anal Des 86:71–80MathSciNet
54.
Timoshenko S, Goodier JN (1979) Theory of elasticity, 3rd edn. McGraw-Hill, New YorkMATH
55.
Flügge W (1973) Stresses in shells. Springer, New YorkMATH
56.
Macneal RH, Harder RL (1985) A proposed standard set of problems to test finite element accuracy. Finite Elem Anal Des 1:3–20
57.
Ko Y, Lee Y, Lee PS, Bathe KJ (2017) Performance of the MITC3+ and MITC4+ shell elements in widely-used benchmark problems. Comput Struct 193:187–206
Metadaten
Titel
Formulation and evaluation of a new four-node quadrilateral element for analysis of the shell structures
verfasst von
Hosein Sangtarash
Hamed Ghohani Arab
Mohammad Reza Sohrabi
Mohammad Reza Ghasemi
Publikationsdatum
07.05.2019
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 4/2020
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-019-00763-8

Weitere Artikel der Ausgabe 4/2020

Engineering with Computers 4/2020 Zur Ausgabe

Original Article

Structural shape optimization using Bézier triangles and a CAD-compatible boundary representation

Original Article

Nonlinear transient analysis of delaminated curved composite structure under blast/pulse load

Original Article

Prediction of frictional characteristics of bituminous mixes using group method of data handling and multigene symbolic genetic programming

Original Article

Applications of two numerical methods for solving inverse Benjamin–Bona–Mahony–Burgers equation

Original Article

Advanced soft computing techniques for predicting soil compression coefficient in engineering project: a comparative study

Original Article

A new two-level implicit scheme based on cubic spline approximations for the 1D time-dependent quasilinear biharmonic problems

Neuer Inhalt

    Bildnachweise