On large deformations of thin elasto-plastic shells: implementation of a finite rotation model for quadrilateral shell element
Brank, Boštjan (Author), Perić, Djordje (Author), Damjanić, Frano (Author)

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A large-deformation model for thin shells composed of elasto-plastic material is presented in this work. Formulation of the shell model, equivalent to the two-dimensional Cosserat continuum, is developed from the three-dimensional continuum by employing standard assumptions on the distribution of the displacement field in the shell body. A model for thin shells is obtained by an approximation of terms describing the shell geometry. Finite rotations of the director field are described by a rotation vector formulation. An elasto-plastic constitutive model is developed based on the von Mises yield criterion and isotropic hardening. In this work, attention is restricted to problems where strains remain small allowing for all aspects of material identification and associated computational treatment, developed for small-strain elastoplastic models, to be transferred easily to the present elasto-plastic thin-shell model. A finite element formulation is based on the four-noded isoparametric element. A particular attention is devoted to the consistent linearization of the shell kinematics and elasto-plastic material model, in order to achieve quadratic rate of asymptotic convergence typical for the Newton-Raphson-based solution procedures.

Keywords:finite elements, shells, large deformations, finite rotations, elasto-plasticity
Tipology:1.01 - Original Scientific Article
Organization:FGG - Faculty of Civil and Geodetic Engineering
Number of pages:str. 689-726
Numbering:Vol. 40, Vol. 40
ISSN on article:0029-5981
COBISS.SI-ID:68711 Link is opened in a new window
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Record is a part of a journal

Title:International journal for numerical methods in engineering
Shortened title:Int. j. numer. methods eng.
COBISS.SI-ID:6316039 This link opens in a new window

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