Asymptotic analysis of hierarchical martensitic microstructure Article Swipe
Pierluigi Cesana
,
Marcel Porta
,
Turab Lookman
·
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1501.06985
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1501.06985
We consider a hierarchical nested microstructure, which also contains a point of singularity (disclination) at the origin, observed in lead orthovanadate. We show how to exactly compute the energy cost and associated displacement field within linearized elasticity by enforcing geometric compatibility of strains across interfaces of the three-phase mixture of distortions (variants) in the microstructure. We prove that the mechanical deformation is purely elastic and discuss the behavior of the system close to the origin.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/1501.06985
- https://arxiv.org/pdf/1501.06985
- OA Status
- green
- References
- 8
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W2950654016
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W2950654016Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.1501.06985Digital Object Identifier
- Title
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Asymptotic analysis of hierarchical martensitic microstructureWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2015Year of publication
- Publication date
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2015-01-28Full publication date if available
- Authors
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Pierluigi Cesana, Marcel Porta, Turab LookmanList of authors in order
- Landing page
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https://arxiv.org/abs/1501.06985Publisher landing page
- PDF URL
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https://arxiv.org/pdf/1501.06985Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/1501.06985Direct OA link when available
- Concepts
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Disclination, Microstructure, Singularity, Elastic energy, Compatibility (geochemistry), Elasticity (physics), Materials science, Martensite, Statistical physics, Classical mechanics, Mathematical analysis, Mathematics, Composite material, Physics, Thermodynamics, Liquid crystal, OptoelectronicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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8Number of works referenced by this work
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20Other works algorithmically related by OpenAlex
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| abstract_inverted_index.and | 30, 64 |
| abstract_inverted_index.how | 23 |
| abstract_inverted_index.the | 15, 27, 46, 53, 58, 66, 69, 73 |
| abstract_inverted_index.also | 7 |
| abstract_inverted_index.cost | 29 |
| abstract_inverted_index.lead | 19 |
| abstract_inverted_index.show | 22 |
| abstract_inverted_index.that | 57 |
| abstract_inverted_index.close | 71 |
| abstract_inverted_index.field | 33 |
| abstract_inverted_index.point | 10 |
| abstract_inverted_index.prove | 56 |
| abstract_inverted_index.which | 6 |
| abstract_inverted_index.across | 43 |
| abstract_inverted_index.energy | 28 |
| abstract_inverted_index.nested | 4 |
| abstract_inverted_index.purely | 62 |
| abstract_inverted_index.system | 70 |
| abstract_inverted_index.within | 34 |
| abstract_inverted_index.compute | 26 |
| abstract_inverted_index.discuss | 65 |
| abstract_inverted_index.elastic | 63 |
| abstract_inverted_index.exactly | 25 |
| abstract_inverted_index.mixture | 48 |
| abstract_inverted_index.origin, | 16 |
| abstract_inverted_index.origin. | 74 |
| abstract_inverted_index.strains | 42 |
| abstract_inverted_index.behavior | 67 |
| abstract_inverted_index.consider | 1 |
| abstract_inverted_index.contains | 8 |
| abstract_inverted_index.observed | 17 |
| abstract_inverted_index.enforcing | 38 |
| abstract_inverted_index.geometric | 39 |
| abstract_inverted_index.(variants) | 51 |
| abstract_inverted_index.associated | 31 |
| abstract_inverted_index.elasticity | 36 |
| abstract_inverted_index.interfaces | 44 |
| abstract_inverted_index.linearized | 35 |
| abstract_inverted_index.mechanical | 59 |
| abstract_inverted_index.deformation | 60 |
| abstract_inverted_index.distortions | 50 |
| abstract_inverted_index.singularity | 12 |
| abstract_inverted_index.three-phase | 47 |
| abstract_inverted_index.displacement | 32 |
| abstract_inverted_index.hierarchical | 3 |
| abstract_inverted_index.compatibility | 40 |
| abstract_inverted_index.(disclination) | 13 |
| abstract_inverted_index.orthovanadate. | 20 |
| abstract_inverted_index.microstructure, | 5 |
| abstract_inverted_index.microstructure. | 54 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 3 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/7 |
| sustainable_development_goals[0].score | 0.7300000190734863 |
| sustainable_development_goals[0].display_name | Affordable and clean energy |
| citation_normalized_percentile |