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An in-plane phase-field ductile fracture model for orthotropic paperboard material.

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Title: An in-plane phase-field ductile fracture model for orthotropic paperboard material.
Authors: Marengo, Alessandro1 (AUTHOR) alessandro.marengo@polimi.it, Perego, Umberto1 (AUTHOR) umberto.perego@polimi.it, Borgqvist, Eric2 (AUTHOR) Eric.Borgqvist@tetrapak.com, Tryding, Johan2,3 (AUTHOR) Johan.Tryding@tetrapak.com, Ristinmaa, Matti3 (AUTHOR) matti.ristinmaa@solid.lth.se
Source: International Journal of Solids & Structures. May2024, Vol. 294, pN.PAG-N.PAG. 1p.
Subjects: Ductile fractures, Cardboard, Strength of materials, Crack propagation, Brittle fractures, Elastoplasticity
Abstract: A phase-field ductile fracture formulation for orthotropic paperboard materials is proposed, based on an anisotropic, multi-surface elastoplastic model describing the in-plane behavior of paperboard. A variational statement for the finite-step elastoplastic problem is extended to include the variational description of Griffith-type brittle fracture by a phase-field gradient term. The interaction between plastic and fracture dissipation mechanisms is modeled by introducing a scalar modulation function, assuming plasticity driven damage growth. This function depends on a scalar measure of the plastic strain components in the material orthotropy frame. It modifies the fracture activation criterion in a non-variational fashion, resulting in a direction-dependent material strength against crack propagation. The model performance is assessed by comparing numerical simulations and experimental tests conducted in a climate-controlled laboratory. • In-plane phase-field orthotropic model for ductile fracture. • Variationally consistent finite-step formulation for elastoplastic phase-field. • Plasticity driven model of ductile fracture. • Non-variational modulation of ductile–brittle competition. • Fracture resistance orthotropy determined by plastic strains evolution. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:A phase-field ductile fracture formulation for orthotropic paperboard materials is proposed, based on an anisotropic, multi-surface elastoplastic model describing the in-plane behavior of paperboard. A variational statement for the finite-step elastoplastic problem is extended to include the variational description of Griffith-type brittle fracture by a phase-field gradient term. The interaction between plastic and fracture dissipation mechanisms is modeled by introducing a scalar modulation function, assuming plasticity driven damage growth. This function depends on a scalar measure of the plastic strain components in the material orthotropy frame. It modifies the fracture activation criterion in a non-variational fashion, resulting in a direction-dependent material strength against crack propagation. The model performance is assessed by comparing numerical simulations and experimental tests conducted in a climate-controlled laboratory. • In-plane phase-field orthotropic model for ductile fracture. • Variationally consistent finite-step formulation for elastoplastic phase-field. • Plasticity driven model of ductile fracture. • Non-variational modulation of ductile–brittle competition. • Fracture resistance orthotropy determined by plastic strains evolution. [ABSTRACT FROM AUTHOR]
ISSN:00207683
DOI:10.1016/j.ijsolstr.2024.112763