Article thumbnail

On Prediction of 3d Stress State in Elastic Shell by Higher-order Shell Formulations

By Boštjan Brank, Adnan Ibrahimbegović and Uroš Bohinc

Abstract

In this work we study the accuracy of modem higher-order shell finite element formulations in computation of 3d stress state in elastic shells. In that sense we compare three higher-order shell models: (i) with seven dislacement-like kinematic parameters, and (ii, iii) with six displacement-like kinematic parameters plus one strain-like kinematic parameter introduced by two different versions of enhanced assumed strain (EAS) concept. The finite element approximations of all shell models are based on 4-node quadrilateral elements. Geometrically nonlinear and consistently linearized forms of considered formulations are given. Several numerical examples are presented, where computed stresses are compared with analytical solutions. It was found that through-the-thickness variation of some (non-dominant) stress tensor components, including through-the-thickness normal stress, may be computed very inaccurately. The reliable representation for those stresses can be interpreted only if the ``layer-wise'' averaging or the through-the-thickness averaging is performed

Publisher: Techno Press
Year: 2008
OAI identifier: oai:drugg.fgg.uni-lj.si:3510

Suggested articles

Citations

  1. (2004). An analysis of strain localization and wave propagation in plastic models of beams at failure, doi
  2. (2004). An introduction to nonlinear finite element analysis, doi
  3. (1997). Analytical and numerical solutions for frames with softening hinges, doi
  4. (1998). Classical plasticity and viscoplasticity models reformulated: Theoretical basis and numerical implementation, doi
  5. (2003). Combined hardening and softening constitutive model of plasticity: precursor to shear slip line failure, doi
  6. (1998). Computational inelasticity, doi
  7. (1997). Damjani´ c, On large deformations of thin elastoplastic shells: Implementation of a finite rotation model for quadrilateral shell element, doi
  8. (2008). Efficient finite element formulation for the analysis of localized failure in beam structures, doi
  9. (1985). Elastic-plastic-softening analysis of plane frames, doi
  10. (2007). Embedded discontinuity finite element method for modelling of localized failure in heterogeneous materials with structured mesh: an alternative to extended finite element method, doi
  11. (2005). Finite element methods for the analysis of softening plastic hinges in beams and frames, doi
  12. (2009). Model adaptivity for finite element analysis of thin and thick plates based on equilibrated boundary stress resultants, doi
  13. (2005). Nonlinear shell models with seven kinematic parameters, doi
  14. (1986). Nonlinear structural analysis by computer code INSA, UC Berkeley reports SEMM 86-15,
  15. (2006). Numerical modeling of softening hinges in thin Euler-Bernoulli beams, doi
  16. (2008). On stress resultant plasticity and viscoplasticity for metal plates, Finite Elements doi
  17. (1990). Plasticity theory, doi
  18. (2006). Pre- and post-test mathematical modelling of a plan-asymmetric reinforced concrete frame building, Earthquake Engng. and Struct. doi
  19. (2002). Three dimensional static and dynamic analysis of structures, CSi,
  20. (2009). Z.Bittnar, Novel anisotropic continuum-discrete damage model capable of representing localized failure of massive structures. Part II: identification from tests under heterogeneous stress field, doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.