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Exterior elastic fields of non-elliptical inclusions characterized by Laurent polynomials
- Source :
- European Journal of Mechanics - A/Solids. 60:112-121
- Publication Year :
- 2016
- Publisher :
- Elsevier BV, 2016.
-
Abstract
- In this paper, a new method to analytically carry out the exterior elastic fields of a class of non-elliptical inclusions, i.e., those characterized by Laurent polynomials, is developed. Two complex variable fields, which exactly characterize the Eshelby’s tensor, are explicitly achieved for the hypocycloidal and the quasi-parallelogram inclusions. Numerical examples show that the exterior fields near the inclusion are dominated by the boundary shape, but the fields far away from the inclusion tend to be convergent and can be well approximated by those of its equivalent circular/elliptical inclusion. These solutions are firstly reported, and largely make up for the deficiency in the list of the analytical results of non-elliptical inclusions in 2D isotropic elasticity.
- Subjects :
- Mechanical Engineering
Mathematical analysis
General Physics and Astronomy
02 engineering and technology
021001 nanoscience & nanotechnology
020303 mechanical engineering & transports
0203 mechanical engineering
Mechanics of Materials
Isotropic elasticity
General Materials Science
Tensor
Boundary shape
Inclusion (mineral)
0210 nano-technology
Mathematics
Variable (mathematics)
Subjects
Details
- ISSN :
- 09977538
- Volume :
- 60
- Database :
- OpenAIRE
- Journal :
- European Journal of Mechanics - A/Solids
- Accession number :
- edsair.doi...........392de29b8bff014aba5f7e0b23622092
- Full Text :
- https://doi.org/10.1016/j.euromechsol.2016.06.010