Abstract
The interactions between dislocations and inhomogeneity may play an important role in strengthening and hardening of materials. The problem can be solved analytically only for limited cases of simple geometry. By employing the recently developed numerical equivalent inclusion method, this work presents an effective computational scheme for studying the stress field due to an edge dislocation in the vicinity of an arbitrarily shaped inhomogeneity. The inhomogeneity is treated as an equivalent inclusion that is numerically discretized by rectangular elements. The mismatch between the matrix and the inhomogeneity materials are formulated through Dundurs’ parameters for numerical stability and robustness. The proposed method can efficiently and accurately evaluate the elastic field of the equivalent inclusion with the assistance of a fast Fourier transform based algorithm, constituting an essential refinement of the existing approach in the dislocation-inhomogeneity literature. Several benchmark examples are examined to demonstrate the flexibility, efficiency and accuracy of the present method.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 164-171 |
| Number of pages | 8 |
| Journal | Physical Mesomechanics |
| Volume | 22 |
| Issue number | 2 |
| DOIs | |
| State | Published - Mar 1 2019 |
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Keywords
- Dundurs’ parameters
- arbitrarily inhomogeneity
- edge dislocation
- fast Fourier transforms
- numerical equivalent inclusion method
ASJC Scopus subject areas
- Materials Science(all)
- Condensed Matter Physics
- Mechanics of Materials
- Surfaces and Interfaces
Cite this
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A Computational Scheme for the Interaction between an Edge Dislocation and an Arbitrarily Shaped Inhomogeneity via the Numerical Equivalent Inclusion Method. / Li, P.; Zhang, X.; Lyu, D.; Jin, X.; Keer, Leon M.
In: Physical Mesomechanics, Vol. 22, No. 2, 01.03.2019, p. 164-171.Research output: Contribution to journal › Article
TY - JOUR
T1 - A Computational Scheme for the Interaction between an Edge Dislocation and an Arbitrarily Shaped Inhomogeneity via the Numerical Equivalent Inclusion Method
AU - Li, P.
AU - Zhang, X.
AU - Lyu, D.
AU - Jin, X.
AU - Keer, Leon M
PY - 2019/3/1
Y1 - 2019/3/1
N2 - The interactions between dislocations and inhomogeneity may play an important role in strengthening and hardening of materials. The problem can be solved analytically only for limited cases of simple geometry. By employing the recently developed numerical equivalent inclusion method, this work presents an effective computational scheme for studying the stress field due to an edge dislocation in the vicinity of an arbitrarily shaped inhomogeneity. The inhomogeneity is treated as an equivalent inclusion that is numerically discretized by rectangular elements. The mismatch between the matrix and the inhomogeneity materials are formulated through Dundurs’ parameters for numerical stability and robustness. The proposed method can efficiently and accurately evaluate the elastic field of the equivalent inclusion with the assistance of a fast Fourier transform based algorithm, constituting an essential refinement of the existing approach in the dislocation-inhomogeneity literature. Several benchmark examples are examined to demonstrate the flexibility, efficiency and accuracy of the present method.
AB - The interactions between dislocations and inhomogeneity may play an important role in strengthening and hardening of materials. The problem can be solved analytically only for limited cases of simple geometry. By employing the recently developed numerical equivalent inclusion method, this work presents an effective computational scheme for studying the stress field due to an edge dislocation in the vicinity of an arbitrarily shaped inhomogeneity. The inhomogeneity is treated as an equivalent inclusion that is numerically discretized by rectangular elements. The mismatch between the matrix and the inhomogeneity materials are formulated through Dundurs’ parameters for numerical stability and robustness. The proposed method can efficiently and accurately evaluate the elastic field of the equivalent inclusion with the assistance of a fast Fourier transform based algorithm, constituting an essential refinement of the existing approach in the dislocation-inhomogeneity literature. Several benchmark examples are examined to demonstrate the flexibility, efficiency and accuracy of the present method.
KW - Dundurs’ parameters
KW - arbitrarily inhomogeneity
KW - edge dislocation
KW - fast Fourier transforms
KW - numerical equivalent inclusion method
UR - http://www.scopus.com/inward/record.url?scp=85065014065&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85065014065&partnerID=8YFLogxK
U2 - 10.1134/S1029959919020061
DO - 10.1134/S1029959919020061
M3 - Article
AN - SCOPUS:85065014065
VL - 22
SP - 164
EP - 171
JO - Physical Mesomechanics
JF - Physical Mesomechanics
SN - 1029-9599
IS - 2
ER -