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A Cosserat Theory for Solid Crystals -- With Application to Fiber-Reinforced Plates.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	A Cosserat Theory for Solid Crystals -- With Application to Fiber-Reinforced Plates./
作者:	Krishnan, Jyothi.
面頁冊數:	1 online resource (59 pages)
附註:	Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.
Contained By:	Dissertation Abstracts International78-10B(E).
標題:	Mechanical engineering. -
電子資源:	click for full text (PQDT)
ISBN:	9781369842449

A Cosserat Theory for Solid Crystals -- With Application to Fiber-Reinforced Plates.
Krishnan, Jyothi.

A Cosserat Theory for Solid Crystals -- With Application to Fiber-Reinforced Plates. - 1 online resource (59 pages)

Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

The focus of this thesis is to understand the behavior of composite plates reinforced with rigid bars that are free to twist and bend with respect to the medium. Such composites are ubiquitous in nature and in industry, especially with increased interest in modeling biological elements as well as nano-technology. Structured fabrics abound in nature and industry---from cytoskeletons to kevlar sheets.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369842449Subjects--Topical Terms:

557493
Mechanical engineering.
Index Terms--Genre/Form:

554714
Electronic books.

A Cosserat Theory for Solid Crystals -- With Application to Fiber-Reinforced Plates.
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100 1 $a Krishnan, Jyothi. $3 1180580
245 1 2 $a A Cosserat Theory for Solid Crystals -- With Application to Fiber-Reinforced Plates.
264 0 $c 2016
300 $a 1 online resource (59 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
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500 $a Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.
500 $a Adviser: David J. Steigmann.
502 $a Thesis (Ph.D.) $c University of California, Berkeley $d 2016.
504 $a Includes bibliographical references
520 $a The focus of this thesis is to understand the behavior of composite plates reinforced with rigid bars that are free to twist and bend with respect to the medium. Such composites are ubiquitous in nature and in industry, especially with increased interest in modeling biological elements as well as nano-technology. Structured fabrics abound in nature and industry---from cytoskeletons to kevlar sheets.
520 $a In the first part of this thesis existing theory on such materials is reviewed. A particular microstructure---that of a fiber-reinforced medium---is the subject of further study. Such a medium is treated as a special case of a nematic elastomer with constrained directors. The salient feature of such a material is the presence of only along-fiber derivatives in the problem, precluding certain boundary data.
520 $a The second part of the thesis focuses on the development of a two-dimensional plate theory from the three-dimensional fiber reinforced medium studied previously. The resulting two-director model shows behavior similar to a nematic elastomer with directors that are unable to shear. This is then specialized to the case of a laminate with a single family of fibers. To obtain an understanding of the theory it is applied to a simple controllable deformation; that of a fiber-reinforced plate bent into a cylindrical shell. The orientation of the fibers is selected to result in both bending and twist. This controllable deformation helps us understand the possible boundary data and its effect on the solution. The effect of boundary data on existence and uniqueness of solution is highlighted through the example problem.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mechanical engineering. $3 557493
650 4 $a Applied mathematics. $3 1069907
655 7 $a Electronic books. $2 local $3 554714
690 $a 0548
690 $a 0364
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a University of California, Berkeley. $b Mechanical Engineering. $3 845449
773 0 $t Dissertation Abstracts International $g 78-10B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10251526 $z click for full text (PQDT)