Mechanics of moving defects in growing sheets: 3-d, small deformation theory

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 confe...

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Bibliographic Details
Published in:Materials theory 2020-04, Vol.4 (1), p.1-29, Article 2
Main Authors: Acharya, Amit, Venkataramani, Shankar C.
Format: Article
Language:English
Subjects:
Characterization and Evaluation of Materials
Chemistry and Materials Science
Condensed Matter Physics
Defects
Deformation
Disclinations
Discontinuity
Elastic bodies
Materials Engineering
Materials Science
Original Article
Physical Chemistry
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Summary: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.
ISSN:2509-8012
2509-8012
DOI:10.1186/s41313-020-00018-w