In this work, a linear hexahedral element based on an assumed strain finite element technique is presented for the solution of plasticity problems. The element stems from the Nodally Integrated Continuum Element (NICE) formulation and its extensions. Assumed gradient operators are derived via nodal integration from the kinematic-weighted residual; the degrees of freedom are only the displacements at the nodes. The adopted constitutive model is the classical associative von Mises plasticity model with isotropic and kinematic hardening; in particular, a double-step midpoint integration algorithm is adopted for the integration and solution of the relevant nonlinear evolution equations. Efficiency of the proposed method is assessed through simple benchmark problems and comparison with reference solutions.

Artioli, E., Castellazzi, G., Krysl, P. (2014). Assumed strain nodally integrated hexahedral finite element formulation for elastoplastic applications. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 99(11), 844-866 [10.1002/nme.4723].

Assumed strain nodally integrated hexahedral finite element formulation for elastoplastic applications

ARTIOLI, EDOARDO;
2014-01-01

Abstract

In this work, a linear hexahedral element based on an assumed strain finite element technique is presented for the solution of plasticity problems. The element stems from the Nodally Integrated Continuum Element (NICE) formulation and its extensions. Assumed gradient operators are derived via nodal integration from the kinematic-weighted residual; the degrees of freedom are only the displacements at the nodes. The adopted constitutive model is the classical associative von Mises plasticity model with isotropic and kinematic hardening; in particular, a double-step midpoint integration algorithm is adopted for the integration and solution of the relevant nonlinear evolution equations. Efficiency of the proposed method is assessed through simple benchmark problems and comparison with reference solutions.
2014
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ICAR/08 - SCIENZA DELLE COSTRUZIONI
English
Con Impact Factor ISI
assumed strain gradient; NICE formulation; nodal integration; von Mises plasticity; midpoint integration algorithm
http://onlinelibrary.wiley.com/doi/10.1002/nme.4723/full
Artioli, E., Castellazzi, G., Krysl, P. (2014). Assumed strain nodally integrated hexahedral finite element formulation for elastoplastic applications. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 99(11), 844-866 [10.1002/nme.4723].
Artioli, E; Castellazzi, G; Krysl, P
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/137851
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