Details
| Original language | English |
|---|---|
| Pages (from-to) | 147-162 |
| Number of pages | 16 |
| Journal | International Journal of Solids and Structures |
| Volume | 172-173 |
| Early online date | 16 Feb 2019 |
| Publication status | Published - 1 Nov 2019 |
Abstract
This work presents a modeling framework for the ductile failure of frictional materials undergoing large deformations with a focus on soil mechanics. Crack formation and propagation in soil can be modeled in a convenient way by the recently developed continuum phase-field approach to fracture. Within this approach sharp crack discontinuities are regularized. It allows the use of standard discretization methods for crack discontinuities and is able to account for complex crack paths. In the present contribution, we develop a computational modeling framework for the phase-field approach to ductile fracture in frictional materials. It combines a non-associative Drucker–Prager-type elastic-plastic constitutive model with an evolution equation for the crack phase field in terms of an elastic-plastic energy density. An important aspect is the development of an isotropic hardening mechanism that accounts for both friction and cohesion hardening. In order to guarantee a locking- and hourglass-free response, a modified enhanced element formulation, namely the consistent-gradient formulation, is employed as a key feature of the finite-element implementation. The performance of the formulation is demonstrated by means of representative numerical examples that describe soil crack formation rooted in elastic-plastic fracture mechanics.
Keywords
- Ductile fracture, Elastic-plastic material, Phase-field modeling, Soil mechanics
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Mathematics(all)
- Applied Mathematics
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In: International Journal of Solids and Structures, Vol. 172-173, 01.11.2019, p. 147-162.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A finite-strain phase-field approach to ductile failure of frictional materials
AU - Kienle, Daniel
AU - Aldakheel, Fadi
AU - Keip, Marc André
N1 - Funding Information: M.-A.K. and D.K. gratefully acknowledge the financial support of the German Research Foundation (DFG) within SFB 1313 (project 327154368) and the German Ministry of Education and Research (BMBF) within ParaPhase (project FKZ 01IH15006A). F.A. gratefully acknowledges support by the DFG within project WR 19/58-1. We further note that the formulation proposed in the present work was numerically implemented into existing code structures designed by Christian Miehe. These code structures are available to the authors from earlier joint works on large-strain elasto-plasticity and fracture (e.g. Miehe et al. (2016b)). This applies in particular to the long-standing and tested algorithms summarized in Box 1 and 2 originating from the contribution Miehe (1998b). These algorithms served as algorithmic basis for the numerical implementation of the constitutive model documented in the present work.
PY - 2019/11/1
Y1 - 2019/11/1
N2 - This work presents a modeling framework for the ductile failure of frictional materials undergoing large deformations with a focus on soil mechanics. Crack formation and propagation in soil can be modeled in a convenient way by the recently developed continuum phase-field approach to fracture. Within this approach sharp crack discontinuities are regularized. It allows the use of standard discretization methods for crack discontinuities and is able to account for complex crack paths. In the present contribution, we develop a computational modeling framework for the phase-field approach to ductile fracture in frictional materials. It combines a non-associative Drucker–Prager-type elastic-plastic constitutive model with an evolution equation for the crack phase field in terms of an elastic-plastic energy density. An important aspect is the development of an isotropic hardening mechanism that accounts for both friction and cohesion hardening. In order to guarantee a locking- and hourglass-free response, a modified enhanced element formulation, namely the consistent-gradient formulation, is employed as a key feature of the finite-element implementation. The performance of the formulation is demonstrated by means of representative numerical examples that describe soil crack formation rooted in elastic-plastic fracture mechanics.
AB - This work presents a modeling framework for the ductile failure of frictional materials undergoing large deformations with a focus on soil mechanics. Crack formation and propagation in soil can be modeled in a convenient way by the recently developed continuum phase-field approach to fracture. Within this approach sharp crack discontinuities are regularized. It allows the use of standard discretization methods for crack discontinuities and is able to account for complex crack paths. In the present contribution, we develop a computational modeling framework for the phase-field approach to ductile fracture in frictional materials. It combines a non-associative Drucker–Prager-type elastic-plastic constitutive model with an evolution equation for the crack phase field in terms of an elastic-plastic energy density. An important aspect is the development of an isotropic hardening mechanism that accounts for both friction and cohesion hardening. In order to guarantee a locking- and hourglass-free response, a modified enhanced element formulation, namely the consistent-gradient formulation, is employed as a key feature of the finite-element implementation. The performance of the formulation is demonstrated by means of representative numerical examples that describe soil crack formation rooted in elastic-plastic fracture mechanics.
KW - Ductile fracture
KW - Elastic-plastic material
KW - Phase-field modeling
KW - Soil mechanics
UR - http://www.scopus.com/inward/record.url?scp=85065249959&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2019.02.006
DO - 10.1016/j.ijsolstr.2019.02.006
M3 - Article
AN - SCOPUS:85065249959
VL - 172-173
SP - 147
EP - 162
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
ER -