The principle of equivalent eigenstrain for inhomogeneous inclusion problems
In this paper, based on the principle of virtual work, we formulate the equivalent eigenstrain approach for inhomogeneous inclusions. It allows calculating the elastic deformation of an arbitrarily connected and shaped inhomogeneous inclusion, by replacing it with an equivalent homogeneous inclusion...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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Elsevier
2014
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| _version_ | 1826293679821684736 |
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| author | Ma, L Korsunsky, A |
| author_facet | Ma, L Korsunsky, A |
| author_sort | Ma, L |
| collection | OXFORD |
| description | In this paper, based on the principle of virtual work, we formulate the equivalent eigenstrain approach for inhomogeneous inclusions. It allows calculating the elastic deformation of an arbitrarily connected and shaped inhomogeneous inclusion, by replacing it with an equivalent homogeneous inclusion problem, whose eigenstrain distribution is determined by an integral equation. The equivalent homogeneous inclusion problem has an explicit solution in terms of a definite integral. The approach allows solving the problems about inclusions of arbitrary shape, multiple inclusion problems, and lends itself to residual stress analysis in non-uniform, heterogeneous media. The fundamental formulation introduced here will find application in the mechanics of composites, inclusions, phase transformation analysis, plasticity, fracture mechanics, etc. |
| first_indexed | 2024-03-07T03:33:53Z |
| format | Journal article |
| id | oxford-uuid:bba3a024-22bd-4be5-bfad-14b5f4545831 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:33:53Z |
| publishDate | 2014 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:bba3a024-22bd-4be5-bfad-14b5f45458312022-03-27T05:18:23ZThe principle of equivalent eigenstrain for inhomogeneous inclusion problemsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bba3a024-22bd-4be5-bfad-14b5f4545831EnglishSymplectic Elements at OxfordElsevier2014Ma, LKorsunsky, AIn this paper, based on the principle of virtual work, we formulate the equivalent eigenstrain approach for inhomogeneous inclusions. It allows calculating the elastic deformation of an arbitrarily connected and shaped inhomogeneous inclusion, by replacing it with an equivalent homogeneous inclusion problem, whose eigenstrain distribution is determined by an integral equation. The equivalent homogeneous inclusion problem has an explicit solution in terms of a definite integral. The approach allows solving the problems about inclusions of arbitrary shape, multiple inclusion problems, and lends itself to residual stress analysis in non-uniform, heterogeneous media. The fundamental formulation introduced here will find application in the mechanics of composites, inclusions, phase transformation analysis, plasticity, fracture mechanics, etc. |
| spellingShingle | Ma, L Korsunsky, A The principle of equivalent eigenstrain for inhomogeneous inclusion problems |
| title | The principle of equivalent eigenstrain for inhomogeneous inclusion problems |
| title_full | The principle of equivalent eigenstrain for inhomogeneous inclusion problems |
| title_fullStr | The principle of equivalent eigenstrain for inhomogeneous inclusion problems |
| title_full_unstemmed | The principle of equivalent eigenstrain for inhomogeneous inclusion problems |
| title_short | The principle of equivalent eigenstrain for inhomogeneous inclusion problems |
| title_sort | principle of equivalent eigenstrain for inhomogeneous inclusion problems |
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