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Study of Zero and Finite Temperature...
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Singh, Amit Rajnarayan.
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Study of Zero and Finite Temperature Response of Discrete Deformable Surfaces.
Record Type:
Electronic resources : Monograph/item
Title/Author:
Study of Zero and Finite Temperature Response of Discrete Deformable Surfaces./
Author:
Singh, Amit Rajnarayan.
Published:
Ann Arbor : ProQuest Dissertations & Theses, : 2018,
Description:
83 p.
Notes:
Source: Dissertations Abstracts International, Volume: 80-05, Section: B.
Contained By:
Dissertations Abstracts International80-05B.
Subject:
Mechanical engineering. -
Online resource:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10975767
ISBN:
9780438614376
Study of Zero and Finite Temperature Response of Discrete Deformable Surfaces.
Singh, Amit Rajnarayan.
Study of Zero and Finite Temperature Response of Discrete Deformable Surfaces.
- Ann Arbor : ProQuest Dissertations & Theses, 2018 - 83 p.
Source: Dissertations Abstracts International, Volume: 80-05, Section: B.
Thesis (Ph.D.)--University of California, Los Angeles, 2018.
This item must not be sold to any third party vendors.
We report on the effect of discreteness on mechanical and thermal response of closed deformable shells inspired by capsids of biological viruses. Generally, these structures are analyzed using continuum elasticity theories. The ratio of the in-plane stretching and the bending energies of the shell, called as the Foppl von Karman (FvK) number, is an important dimensionless number that characterizes the key features of these shells. Through two new models of shells, we replace the continuum description by their discrete counterparts in incremental steps. The first model is a hybrid discrete-continuum description. It shows the presence of competing symmetries at low FvK numbers which are not detected in the continuum model. The second model shows that the FvK number controls the thermal response of these shells. Shells can be melted only at low FvK numbers. At values of FvK higher than the buckling transition, increase in thermal fluctuations gives rise to a pressure that crumples the shell and precludes melting.
ISBN: 9780438614376Subjects--Topical Terms:
649730
Mechanical engineering.
Study of Zero and Finite Temperature Response of Discrete Deformable Surfaces.
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We report on the effect of discreteness on mechanical and thermal response of closed deformable shells inspired by capsids of biological viruses. Generally, these structures are analyzed using continuum elasticity theories. The ratio of the in-plane stretching and the bending energies of the shell, called as the Foppl von Karman (FvK) number, is an important dimensionless number that characterizes the key features of these shells. Through two new models of shells, we replace the continuum description by their discrete counterparts in incremental steps. The first model is a hybrid discrete-continuum description. It shows the presence of competing symmetries at low FvK numbers which are not detected in the continuum model. The second model shows that the FvK number controls the thermal response of these shells. Shells can be melted only at low FvK numbers. At values of FvK higher than the buckling transition, increase in thermal fluctuations gives rise to a pressure that crumples the shell and precludes melting.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10975767
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