<mods:mods xmlns:mods="http://www.loc.gov/mods/v3" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" ID="etd1026" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd">
	<mods:titleInfo>
		<mods:title>Plane Deformations Generated by Prescribed Finite Rotation Fields: Issues and Applications</mods:title>
	</mods:titleInfo><mods:name type="personal">
		<mods:namePart>Rizza, Gregory James</mods:namePart>
	<mods:role>
		<mods:roleTerm type="text">creator</mods:roleTerm>
	</mods:role>
	</mods:name>
<mods:originInfo>
	<mods:copyrightDate>2013</mods:copyrightDate>
</mods:originInfo>
<mods:physicalDescription>
        <mods:extent>xvi, 110 p.</mods:extent>
        <mods:digitalOrigin>born digital</mods:digitalOrigin>
</mods:physicalDescription>
<mods:note>Thesis (Ph.D. -- Brown University (2013)</mods:note>
<mods:name type="personal">
<mods:namePart>Blume, Janet</mods:namePart>
<mods:role>
<mods:roleTerm type="text">Director</mods:roleTerm>
</mods:role>
</mods:name>

<mods:name type="personal">
<mods:namePart>Guduru, Pradeep</mods:namePart>
<mods:role>
<mods:roleTerm type="text">Reader</mods:roleTerm>
</mods:role>
</mods:name>

<mods:name type="personal">
<mods:namePart>Holmer, Justin</mods:namePart>
<mods:role>
<mods:roleTerm type="text">Reader</mods:roleTerm>
</mods:role>
</mods:name>
<mods:name type="corporate">
		<mods:namePart>Brown University. ENGINEERING: Solid Mechanics</mods:namePart>
		<mods:role>
			<mods:roleTerm type="text">sponsor</mods:roleTerm>
		</mods:role>
		</mods:name>
	<mods:genre authority="aat">theses</mods:genre>
	<mods:abstract>Compatibility conditions for various strain measures are well known in both small and finite strain kinematics.  For many plane deformation problems in solid mechanics, such conditions enable boundary value problems to be formulated using strains, stresses, or a generating potential function, as the fundamental dependent variable(s).  This thesis is concerned with the compatibility issue for the rotation field, as it relates to the study of plane deformations.  Although it is not a direct measure of the distortion in a deformation, the rotation associated with a deformation and its variation from point to point within a continuous body turns out to carry quite a bit of information about the actual deformation.  Presented here, is a methodology showing that any planar proper orthogonal tensor can serve as a rotation field and can be used to construct a plane finite deformation.  Various applications of the method are analyzed accompanied by examples, in which specific deformations examined are: local deformations around a point or curve of interest, twinning and two-phase deformations, and finally area preserving deformations.</mods:abstract>

    <mods:subject>
        <mods:topic>Finite deformation</mods:topic>
    </mods:subject>

    <mods:subject>
        <mods:topic>Rotation field</mods:topic>
    </mods:subject>

    <mods:subject>
        <mods:topic>Compatibility</mods:topic>
    </mods:subject>

    <mods:subject>
        <mods:topic>Twinning</mods:topic>
    </mods:subject>

    <mods:subject>
        <mods:topic>Two-phase deformation</mods:topic>
    </mods:subject>

    <mods:subject>
        <mods:topic>Area preserving deformation</mods:topic>
    </mods:subject>

	<mods:recordInfo>
		<mods:recordContentSource authority="marcorg">RPB</mods:recordContentSource>
		<mods:recordCreationDate encoding="iso8601">20131219</mods:recordCreationDate>        
	</mods:recordInfo>
<mods:language xmlns:xlink="http://www.w3.org/1999/xlink"><mods:languageTerm type="code" authority="iso639-2b">eng</mods:languageTerm><mods:languageTerm type="text">English</mods:languageTerm></mods:language><mods:identifier xmlns:xlink="http://www.w3.org/1999/xlink" type="doi">10.7301/Z0TD9VPC</mods:identifier><mods:accessCondition xmlns:xlink="http://www.w3.org/1999/xlink" type="rights statement" xlink:href="http://rightsstatements.org/vocab/InC/1.0/">In Copyright</mods:accessCondition><mods:accessCondition type="restriction on access">Collection is open for research.</mods:accessCondition><mods:typeOfResource xmlns:xlink="http://www.w3.org/1999/xlink" authority="primo">dissertations</mods:typeOfResource></mods:mods>