Modeling fracture in elasto-plastic solids by embedded-discontinuity stress-hybrid finite element formulation

Dujc, Jaka (author), Brank, Boštjan (author)

The Hellinger-Reissner principle is applied to derive a hybrid-mixed quadrilateral finite element with embedded-discontinuity in displacements, which can model a discrete crack (interface) within the element, and its sliding (and opening). The chosen material models are elasto-plasticity with hardening for the bulk, and traction-separation plasticity with softening for the interface. The latter model describes localized material failure and relates cohesion degradation with the fracture energy. The fulfillment of the inelastic relations at the bulk’s integration points is performed by a stress-driven update algorithm. The stress and embedded-discontinuity kinematic parameters are condensed on the element level, allowing for an efficient implementation.

• Language: English
• Keywords: civil engineering, structures, 2D solid, elasto-plasticity, embedded-discontinuity, fracture modelling, softening-plasticity, stress-hybrid quadrilateral, plasticity, Hellinger-Reissner
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2022
• Number of pages: Str. 677–693
• Numbering: Vol. 29, no. 5
• PID: 20.500.12556/RUL-120988
• UDC: 624.07:004
• ISSN on article: 1537-6494
• DOI: 10.1080/15376494.2020.1786755
• COBISS.SI-ID: 23001859
• Publication date in RUL: 28.09.2020

Record is a part of a journal

• Title: Mechanics of advanced materials and structures
• Shortened title: Mech. adv. mat. struct.
• Publisher: Taylor and Francis
• ISSN: 1537-6494
• COBISS.SI-ID: 24292357

Licences

• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.

Secondary language

• Language: Slovenian
• Keywords: gradbeništvo, konstrukcije, plastičnost, Hellinger-Reissner, modeliranje odpovedi materiala, vgrajena neveznost

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: J2-1722
• Name: Numerično modeliranje širjenja razpok v krhkih in duktilnih konstrukcijah