A phase-field model for strain localization analysis in softening elastoplastic materials

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2 Citazioni (Scopus)

Abstract

The present paper deals with the localization of strains in those structures consisting of materials exhibit- ing plastic softening response. It is assumed that strain localization develops in a finite thickness band separated from the remaining part of the structure by weak discontinuity surfaces. In view of the small thickness of the band with respect to the dimensions of the structure, the interphase concept is used for the mechanical modeling of the localization phenomenon. We propose a formulation for the quasi- static modeling of strain localization based on a phase-field approach. In this sense, the localization band is smeared over the volume of the structure and a smooth transition between the fully broken and the sound material phases is introduced. The mechanical performance of the model is illustrated for the case of uniaxial tensile test, discussing the instability of the force-displacement response, and for the case of three-point bending test, comparing the analytical results with the experimental ones.
Lingua originaleEnglish
pagine (da-a)84-96
Numero di pagine13
RivistaInternational Journal of Solids and Structures
Volume172-173
Stato di pubblicazionePublished - 2019

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Strain Localization
Phase Field Model
Softening
Elasto-plastic
softening
Bending tests
Tensile Test
Phase Field
Modeling
Acoustic waves
Plastics
Discontinuity
tensile tests
discontinuity
plastics
Formulation
formulations
acoustics

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cita questo

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title = "A phase-field model for strain localization analysis in softening elastoplastic materials",
abstract = "The present paper deals with the localization of strains in those structures consisting of materials exhibit- ing plastic softening response. It is assumed that strain localization develops in a finite thickness band separated from the remaining part of the structure by weak discontinuity surfaces. In view of the small thickness of the band with respect to the dimensions of the structure, the interphase concept is used for the mechanical modeling of the localization phenomenon. We propose a formulation for the quasi- static modeling of strain localization based on a phase-field approach. In this sense, the localization band is smeared over the volume of the structure and a smooth transition between the fully broken and the sound material phases is introduced. The mechanical performance of the model is illustrated for the case of uniaxial tensile test, discussing the instability of the force-displacement response, and for the case of three-point bending test, comparing the analytical results with the experimental ones.",
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AU - La Malfa Ribolla, Emma

AU - Giambanco, Giuseppe

PY - 2019

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N2 - The present paper deals with the localization of strains in those structures consisting of materials exhibit- ing plastic softening response. It is assumed that strain localization develops in a finite thickness band separated from the remaining part of the structure by weak discontinuity surfaces. In view of the small thickness of the band with respect to the dimensions of the structure, the interphase concept is used for the mechanical modeling of the localization phenomenon. We propose a formulation for the quasi- static modeling of strain localization based on a phase-field approach. In this sense, the localization band is smeared over the volume of the structure and a smooth transition between the fully broken and the sound material phases is introduced. The mechanical performance of the model is illustrated for the case of uniaxial tensile test, discussing the instability of the force-displacement response, and for the case of three-point bending test, comparing the analytical results with the experimental ones.

AB - The present paper deals with the localization of strains in those structures consisting of materials exhibit- ing plastic softening response. It is assumed that strain localization develops in a finite thickness band separated from the remaining part of the structure by weak discontinuity surfaces. In view of the small thickness of the band with respect to the dimensions of the structure, the interphase concept is used for the mechanical modeling of the localization phenomenon. We propose a formulation for the quasi- static modeling of strain localization based on a phase-field approach. In this sense, the localization band is smeared over the volume of the structure and a smooth transition between the fully broken and the sound material phases is introduced. The mechanical performance of the model is illustrated for the case of uniaxial tensile test, discussing the instability of the force-displacement response, and for the case of three-point bending test, comparing the analytical results with the experimental ones.

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VL - 172-173

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EP - 96

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

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