PFEM Modeling of Strain Localization Processes in Non-local Multiplicative Plasticity

Kateryna Oliynyk (Lead / Corresponding author), Matteo O. Ciantia, Claudio Tamagnini

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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A fully non-linear PFEM platform developed for coupled flow and deformation processes in saturated structured soils is employed in this work to explore the possibility of modeling the occurrence of strain localization and the evolution of the displacement field in the post-localization regime without the pathological mesh-dependence typically observed in conventional nonlinear FEM simulation. The proposed formulation adopts an isotropic hardening elastoplastic model for bonded geomaterials, developed in the framework of multiplicative plasticity, equipped with non-local hardening laws of the integral type for both density- and bonding-related internal variables. These hardening laws provide the material with an internal length scale based on the size of the neighborhood where the non-local averaging is performed. A number of PFEM simulations of plane strain compression tests on ideal calcarenite specimens have been performed to explore the convergence of the numerical solution in the post-localization regime as the element size is reduced. The convergence study is focused on simulations with non-uniform, adaptive discretizations, exploring the convergence of the solution as the adopted minimum element size of the mesh is reduced. The results of the convergence study demonstrate the effectiveness of the adopted non-local approach in eliminating the pathological mesh-dependence in presence of strain localization, in the context of h-adaptive PFEM simulations.
Original languageEnglish
Title of host publicationChallenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 3
Subtitle of host publicationProceedings of the 16th International Conference of IACMAG
EditorsMarco Barla, Alice Di Donna, Donatella Sterpi, Alessandra Insana
Number of pages8
ISBN (Electronic)9783031128516
ISBN (Print)9783031128509
Publication statusPublished - 2023
Event16th International Conference on IACMAG 2022 - Torino, Italy
Duration: 30 Aug 20222 Sept 2022

Publication series

NameLecture Notes in Civil Engineering
ISSN (Print)2366-2557
ISSN (Electronic)2366-2565


Conference16th International Conference on IACMAG 2022
Internet address


  • PFEM
  • Strain localization
  • Non-local regularization
  • Finite deformation plasticity
  • Bonded soils

ASJC Scopus subject areas

  • Civil and Structural Engineering


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