Dislocations, disclinations, and metric anomalies as sources of global strain incompatibility in thin shells
The strain incompatibility equations are discussed for nonlinear Kirchhoff-Love shells with sources of inhomogeneity arising due to a distribution of topological defects, such as dislocations and disclinations, and metric anomalies, such as point defects, thermal strains, and biological growth. The...
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creator | Roychowdhury, Ayan Gupta, Anurag |
description | The strain incompatibility equations are discussed for nonlinear
Kirchhoff-Love shells with sources of inhomogeneity arising due to a
distribution of topological defects, such as dislocations and disclinations,
and metric anomalies, such as point defects, thermal strains, and biological
growth. The incompatibility equations are given for all topological surfaces,
with or without boundary, which are isometrically embeddable in a 3-dimensional
Euclidean space. |
doi_str_mv | 10.48550/arxiv.1706.03093 |
format | Article |
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Kirchhoff-Love shells with sources of inhomogeneity arising due to a
distribution of topological defects, such as dislocations and disclinations,
and metric anomalies, such as point defects, thermal strains, and biological
growth. The incompatibility equations are given for all topological surfaces,
with or without boundary, which are isometrically embeddable in a 3-dimensional
Euclidean space.</description><identifier>DOI: 10.48550/arxiv.1706.03093</identifier><language>eng</language><subject>Physics - Materials Science ; Physics - Soft Condensed Matter</subject><creationdate>2017-06</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1706.03093$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1706.03093$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Roychowdhury, Ayan</creatorcontrib><creatorcontrib>Gupta, Anurag</creatorcontrib><title>Dislocations, disclinations, and metric anomalies as sources of global strain incompatibility in thin shells</title><description>The strain incompatibility equations are discussed for nonlinear
Kirchhoff-Love shells with sources of inhomogeneity arising due to a
distribution of topological defects, such as dislocations and disclinations,
and metric anomalies, such as point defects, thermal strains, and biological
growth. The incompatibility equations are given for all topological surfaces,
with or without boundary, which are isometrically embeddable in a 3-dimensional
Euclidean space.</description><subject>Physics - Materials Science</subject><subject>Physics - Soft Condensed Matter</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNo1j81OwzAQhH3hgFoegBN-gCY4cfx3ROVXqtRL79HGcehKTlzZBtG3xxS47MxIMyt9hNw2rO60EOwe4hd-1o1ismacGX5N_CMmHyxkDEva0BGT9bj8R1hGOrsc0RYbZvDoEoVEU_iIttgw0XcfBvA05Qi4UFxsmE9lPqDHfC6Z5mM56ei8T2tyNYFP7uZPV-Tw_HTYvla7_cvb9mFXgVS86jS3WjjNYRCjaMauM4wZp6ZJyY41rFVKGycNdwa4bkp7Mq7lsm2NFEy0fEXuft9ecPtTxBniuf_B7i_Y_BuueFM_</recordid><startdate>20170609</startdate><enddate>20170609</enddate><creator>Roychowdhury, Ayan</creator><creator>Gupta, Anurag</creator><scope>GOX</scope></search><sort><creationdate>20170609</creationdate><title>Dislocations, disclinations, and metric anomalies as sources of global strain incompatibility in thin shells</title><author>Roychowdhury, Ayan ; Gupta, Anurag</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a673-483c85e83ab5d51d449009e7ff76401027789e693e9a38183cf9e236229650523</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Physics - Materials Science</topic><topic>Physics - Soft Condensed Matter</topic><toplevel>online_resources</toplevel><creatorcontrib>Roychowdhury, Ayan</creatorcontrib><creatorcontrib>Gupta, Anurag</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Roychowdhury, Ayan</au><au>Gupta, Anurag</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dislocations, disclinations, and metric anomalies as sources of global strain incompatibility in thin shells</atitle><date>2017-06-09</date><risdate>2017</risdate><abstract>The strain incompatibility equations are discussed for nonlinear
Kirchhoff-Love shells with sources of inhomogeneity arising due to a
distribution of topological defects, such as dislocations and disclinations,
and metric anomalies, such as point defects, thermal strains, and biological
growth. The incompatibility equations are given for all topological surfaces,
with or without boundary, which are isometrically embeddable in a 3-dimensional
Euclidean space.</abstract><doi>10.48550/arxiv.1706.03093</doi><oa>free_for_read</oa></addata></record> |
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subjects | Physics - Materials Science Physics - Soft Condensed Matter |
title | Dislocations, disclinations, and metric anomalies as sources of global strain incompatibility in thin shells |
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