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Structural Engineering and Mechanics
  Volume 4, Number 6, November 1996 , pages 645-654
DOI: https://doi.org/10.12989/sem.1996.4.6.645
 


Modelling of strain localization in a large strain context
Cescotto S, Li XK

 
Abstract
    In order to avoid pathological mesh dependency in finite element modelling of strain localization, an isotropic elasto-plastic model with a yield function depending on the Laplacian of the equivalent plastic strain is implemented in a 4-node quadrilateral finite element with one integration point based on a mixed formulation derived from Hu-Washizu principle. The evaluation of the Laplacian is based on a least square polynomial approximation of the equivalent plastic strain around each integration point. This non local approach allows to satisfy exactly the consistency condition at each integration point. Some examples are treated to illustrate the effectiveness of the method.
 
Key Words
    localization, large strains, gradient plasticity
 
Address
Cescotto S, UNIV LIEGE,DEPT MSM,QUAI BANNING 6,B-4000 LIEGE,BELGIUM
DALIAN UNIV TECHNOL,NATL LAB STRUCT ANAL IND EQUIPMENTS,DALIAN 116204,PEOPLES R CHINA
 

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