Details
| Original language | English |
|---|---|
| Article number | 114440 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 391 |
| Early online date | 13 Jan 2022 |
| Publication status | Published - 1 Mar 2022 |
Abstract
This paper describes a 3D implementation of the sharp-interface theory for material heterogeneities and is, hence, able to identify equilibrium shapes of precipitates in superalloys. The theory is adopted from Morton E. Gurtin and extended by crystal plasticity in the bulk. Crystal plasticity relaxes stresses at the phase interface, which leads to subsequent coalescence of the precipitates. The fully implicit model employs the extended finite element method (XFEM) in conjunction with level sets. The level set is advected in a velocity field computed by the stress-modified Gibbs-Thomson interface condition. Mechanical equilibrium and level set update are solved in a staggered procedure. Jump quantities are treated by means of a suitable enriched least square smoothing. Multiple schemes for the computation of curvature of surfaces in the context of the XFEM are presented and compared. Equilibrium shapes at different levels of misfit are computed. A cuboidal equilibrium shape is retrieved in a rotated mesh in order to quantify mesh-independence, a linear volume-time relationship during Ostwald ripening is reproduced and merging of particles under tension is reported.
Keywords
- Crystal plasticity, Curvature schemes, Heterogeneities, Phase transformation, Sharp-interface theory, XFEM
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 391, 114440, 01.03.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A sharp-interface model for diffusional evolution of precipitates in visco-plastic materials
AU - Munk, Lukas
AU - Reschka, Silvia
AU - Löhnert, Stefan
AU - Maier, Hans Jürgen
AU - Wriggers, Peter
N1 - Funding Information: The authors gratefully acknowledge financial support by the German Research Association (DFG) through grant no. 282253287 . The authors also thank Meisam Soleimani for valuable discussions on the subject. This work was supported by the LUH compute cluster, which is funded by the Leibniz Universität Hannover , the Lower Saxony Ministry of Science and Culture (MWK) and the German Research Association (DFG) .
PY - 2022/3/1
Y1 - 2022/3/1
N2 - This paper describes a 3D implementation of the sharp-interface theory for material heterogeneities and is, hence, able to identify equilibrium shapes of precipitates in superalloys. The theory is adopted from Morton E. Gurtin and extended by crystal plasticity in the bulk. Crystal plasticity relaxes stresses at the phase interface, which leads to subsequent coalescence of the precipitates. The fully implicit model employs the extended finite element method (XFEM) in conjunction with level sets. The level set is advected in a velocity field computed by the stress-modified Gibbs-Thomson interface condition. Mechanical equilibrium and level set update are solved in a staggered procedure. Jump quantities are treated by means of a suitable enriched least square smoothing. Multiple schemes for the computation of curvature of surfaces in the context of the XFEM are presented and compared. Equilibrium shapes at different levels of misfit are computed. A cuboidal equilibrium shape is retrieved in a rotated mesh in order to quantify mesh-independence, a linear volume-time relationship during Ostwald ripening is reproduced and merging of particles under tension is reported.
AB - This paper describes a 3D implementation of the sharp-interface theory for material heterogeneities and is, hence, able to identify equilibrium shapes of precipitates in superalloys. The theory is adopted from Morton E. Gurtin and extended by crystal plasticity in the bulk. Crystal plasticity relaxes stresses at the phase interface, which leads to subsequent coalescence of the precipitates. The fully implicit model employs the extended finite element method (XFEM) in conjunction with level sets. The level set is advected in a velocity field computed by the stress-modified Gibbs-Thomson interface condition. Mechanical equilibrium and level set update are solved in a staggered procedure. Jump quantities are treated by means of a suitable enriched least square smoothing. Multiple schemes for the computation of curvature of surfaces in the context of the XFEM are presented and compared. Equilibrium shapes at different levels of misfit are computed. A cuboidal equilibrium shape is retrieved in a rotated mesh in order to quantify mesh-independence, a linear volume-time relationship during Ostwald ripening is reproduced and merging of particles under tension is reported.
KW - Crystal plasticity
KW - Curvature schemes
KW - Heterogeneities
KW - Phase transformation
KW - Sharp-interface theory
KW - XFEM
UR - http://www.scopus.com/inward/record.url?scp=85122649837&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2021.114440
DO - 10.1016/j.cma.2021.114440
M3 - Article
AN - SCOPUS:85122649837
VL - 391
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 114440
ER -