Mechanics of moving defects in growing sheets: 3-d, small deformation theory
Abstract Growth and other dynamical processes in soft materials can create novel types of mesoscopic defects including discontinuities for the second and higher derivatives of the deformation, and terminating defects for these discontinuities. These higher-order defects move “easily", and can t...
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| Format: | Article |
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SpringerOpen
2020-04-01
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| Series: | Materials Theory |
| Online Access: | http://link.springer.com/article/10.1186/s41313-020-00018-w |
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doaj-29954e86c2ab4e82ba022c46678dfec72020-11-25T02:07:51ZengSpringerOpenMaterials Theory2509-80122020-04-014112910.1186/s41313-020-00018-wMechanics of moving defects in growing sheets: 3-d, small deformation theoryAmit Acharya0Shankar C. Venkataramani1Department of Civil & Environmental Engineering, and Center for Nonlinear Analysis, Carnegie Mellon UniversityDepartment of Mathematics, University of ArizonaAbstract Growth and other dynamical processes in soft materials can create novel types of mesoscopic defects including discontinuities for the second and higher derivatives of the deformation, and terminating defects for these discontinuities. These higher-order defects move “easily", and can thus confer a great degree of flexibility to the material. We develop a general continuum mechanical framework from which we can derive the dynamics of higher order defects in a thermodynamically consistent manner. We illustrate our framework by obtaining the explicit dynamical equations for the next higher order defects in an elastic body beyond dislocations, phase boundaries, and disclinations, namely, surfaces of inflection and branch lines.http://link.springer.com/article/10.1186/s41313-020-00018-w |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Amit Acharya Shankar C. Venkataramani |
| spellingShingle |
Amit Acharya Shankar C. Venkataramani Mechanics of moving defects in growing sheets: 3-d, small deformation theory Materials Theory |
| author_facet |
Amit Acharya Shankar C. Venkataramani |
| author_sort |
Amit Acharya |
| title |
Mechanics of moving defects in growing sheets: 3-d, small deformation theory |
| title_short |
Mechanics of moving defects in growing sheets: 3-d, small deformation theory |
| title_full |
Mechanics of moving defects in growing sheets: 3-d, small deformation theory |
| title_fullStr |
Mechanics of moving defects in growing sheets: 3-d, small deformation theory |
| title_full_unstemmed |
Mechanics of moving defects in growing sheets: 3-d, small deformation theory |
| title_sort |
mechanics of moving defects in growing sheets: 3-d, small deformation theory |
| publisher |
SpringerOpen |
| series |
Materials Theory |
| issn |
2509-8012 |
| publishDate |
2020-04-01 |
| description |
Abstract Growth and other dynamical processes in soft materials can create novel types of mesoscopic defects including discontinuities for the second and higher derivatives of the deformation, and terminating defects for these discontinuities. These higher-order defects move “easily", and can thus confer a great degree of flexibility to the material. We develop a general continuum mechanical framework from which we can derive the dynamics of higher order defects in a thermodynamically consistent manner. We illustrate our framework by obtaining the explicit dynamical equations for the next higher order defects in an elastic body beyond dislocations, phase boundaries, and disclinations, namely, surfaces of inflection and branch lines. |
| url |
http://link.springer.com/article/10.1186/s41313-020-00018-w |
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AT amitacharya mechanicsofmovingdefectsingrowingsheets3dsmalldeformationtheory AT shankarcvenkataramani mechanicsofmovingdefectsingrowingsheets3dsmalldeformationtheory |
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