Elements with embedded localization zones for large deformation problems.

*(English)*Zbl 0667.73033A finite element which embeds a localization band within the element by means of an assumed strain formulation is described in the context of a general nonlinear theory. This element allows the treatment of shear bands which are much smaller than the element size, and hence is called a sub-h localization method. Results obtained by this method shows that the stiffness of the element depends strongly on the angle of the band and its width, and that the magnitude of the softening increases with decreasing width of the shear band.

##### MSC:

74B99 | Elastic materials |

74C99 | Plastic materials, materials of stress-rate and internal-variable type |

74D99 | Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) |

74S05 | Finite element methods applied to problems in solid mechanics |

74S30 | Other numerical methods in solid mechanics (MSC2010) |

74C15 | Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) |

74C20 | Large-strain, rate-dependent theories of plasticity |