This chapter aims to present an implicit gradient pressure-dependent softening plasticity for the post-peak response analysis of soils. Following the approach of (Forest in J Eng Mech 135:117–131, 2009), the generalized micromorphic approach is adopted to ensure that the implicit gradient softening plasticity is thermodynamically consistent. The method of virtual power together with the second law of thermodynamics is used to establish governing equations, and the effective plastic strains at the macro- and microscales are coupled. A regularized nonassociative model with a hyperbolic yield function that considers pressure dependency is then formulated. The plastic dissipation of the model is discussed. A finite element procedure coupling both the displacement and the microvariable is implemented to calculate the unknowns.

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Implicit Gradient Softening Plasticity for Modeling Strain Localization

  • Xilin Lü,
  • Dawei Xue

摘要

This chapter aims to present an implicit gradient pressure-dependent softening plasticity for the post-peak response analysis of soils. Following the approach of (Forest in J Eng Mech 135:117–131, 2009), the generalized micromorphic approach is adopted to ensure that the implicit gradient softening plasticity is thermodynamically consistent. The method of virtual power together with the second law of thermodynamics is used to establish governing equations, and the effective plastic strains at the macro- and microscales are coupled. A regularized nonassociative model with a hyperbolic yield function that considers pressure dependency is then formulated. The plastic dissipation of the model is discussed. A finite element procedure coupling both the displacement and the microvariable is implemented to calculate the unknowns.