Details
| Original language | English |
|---|---|
| Pages (from-to) | 1207-1217 |
| Number of pages | 11 |
| Journal | Continuum Mechanics and Thermodynamics |
| Volume | 29 |
| Issue number | 6 |
| Early online date | 6 May 2017 |
| Publication status | Published - 1 Nov 2017 |
| Externally published | Yes |
Abstract
The coupled thermo-mechanical strain gradient plasticity theory that accounts for microstructure-based size effects is outlined within this work. It extends the recent work of Miehe et al. (Comput Methods Appl Mech Eng 268:704–734, 2014) to account for thermal effects at finite strains. From the computational viewpoint, the finite element design of the coupled problem is not straightforward and requires additional strategies due to the difficulties near the elastic–plastic boundaries. To simplify the finite element formulation, we extend it toward the micromorphic approach to gradient thermo-plasticity model in the logarithmic strain space. The key point is the introduction of dual local–global field variables via a penalty method, where only the global fields are restricted by boundary conditions. Hence, the problem of restricting the gradient variable to the plastic domain is relaxed, which makes the formulation very attractive for finite element implementation as discussed in Forest (J Eng Mech 135:117–131, 2009) and Miehe et al. (Philos Trans R Soc A Math Phys Eng Sci 374:20150170, 2016).
Keywords
- Finite gradient plasticity, Micromorphic regularization, Size effects, Thermo-mechanical processes
ASJC Scopus subject areas
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanics of Materials
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Continuum Mechanics and Thermodynamics, Vol. 29, No. 6, 01.11.2017, p. 1207-1217.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Micromorphic approach for gradient-extended thermo-elastic–plastic solids in the logarithmic strain space
AU - Aldakheel, Fadi
N1 - Publisher Copyright: © 2017, Springer-Verlag Berlin Heidelberg. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2017/11/1
Y1 - 2017/11/1
N2 - The coupled thermo-mechanical strain gradient plasticity theory that accounts for microstructure-based size effects is outlined within this work. It extends the recent work of Miehe et al. (Comput Methods Appl Mech Eng 268:704–734, 2014) to account for thermal effects at finite strains. From the computational viewpoint, the finite element design of the coupled problem is not straightforward and requires additional strategies due to the difficulties near the elastic–plastic boundaries. To simplify the finite element formulation, we extend it toward the micromorphic approach to gradient thermo-plasticity model in the logarithmic strain space. The key point is the introduction of dual local–global field variables via a penalty method, where only the global fields are restricted by boundary conditions. Hence, the problem of restricting the gradient variable to the plastic domain is relaxed, which makes the formulation very attractive for finite element implementation as discussed in Forest (J Eng Mech 135:117–131, 2009) and Miehe et al. (Philos Trans R Soc A Math Phys Eng Sci 374:20150170, 2016).
AB - The coupled thermo-mechanical strain gradient plasticity theory that accounts for microstructure-based size effects is outlined within this work. It extends the recent work of Miehe et al. (Comput Methods Appl Mech Eng 268:704–734, 2014) to account for thermal effects at finite strains. From the computational viewpoint, the finite element design of the coupled problem is not straightforward and requires additional strategies due to the difficulties near the elastic–plastic boundaries. To simplify the finite element formulation, we extend it toward the micromorphic approach to gradient thermo-plasticity model in the logarithmic strain space. The key point is the introduction of dual local–global field variables via a penalty method, where only the global fields are restricted by boundary conditions. Hence, the problem of restricting the gradient variable to the plastic domain is relaxed, which makes the formulation very attractive for finite element implementation as discussed in Forest (J Eng Mech 135:117–131, 2009) and Miehe et al. (Philos Trans R Soc A Math Phys Eng Sci 374:20150170, 2016).
KW - Finite gradient plasticity
KW - Micromorphic regularization
KW - Size effects
KW - Thermo-mechanical processes
UR - http://www.scopus.com/inward/record.url?scp=85018781906&partnerID=8YFLogxK
U2 - 10.1007/s00161-017-0571-0
DO - 10.1007/s00161-017-0571-0
M3 - Article
AN - SCOPUS:85018781906
VL - 29
SP - 1207
EP - 1217
JO - Continuum Mechanics and Thermodynamics
JF - Continuum Mechanics and Thermodynamics
SN - 0935-1175
IS - 6
ER -