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<ArticleSet>
<Article>
<Journal>
				<PublisherName>Amirkabir University of Technology</PublisherName>
				<JournalTitle>Amirkabir Journal of Mechanical Engineering</JournalTitle>
				<Issn>2008-6032</Issn>
				<Volume>53</Volume>
				<Issue>12</Issue>
				<PubDate PubStatus="epublish">
					<Year>2022</Year>
					<Month>02</Month>
					<Day>20</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Crystal Plasticity Finite Element Study of Necking Behavior of Aluminum Alloy Sheet Subject to Thickness-Stress</ArticleTitle>
<VernacularTitle>Crystal Plasticity Finite Element Study of Necking Behavior of Aluminum Alloy Sheet Subject to Thickness-Stress</VernacularTitle>
			<FirstPage>5755</FirstPage>
			<LastPage>5768</LastPage>
			<ELocationID EIdType="pii">4517</ELocationID>
			
<ELocationID EIdType="doi">10.22060/mej.2021.19957.7146</ELocationID>
			
			<Language>FA</Language>
<AuthorList>
<Author>
					<FirstName>Mohammadreza</FirstName>
					<LastName>Kargar Daroonkolaee</LastName>
<Affiliation>MSc Mech. Eng., Department of Mechanical Engineering and Mechatronics, Shahrood Univ. of Tech., Shahrood, Iran</Affiliation>
<Identifier Source="ORCID">0000-0002-1975-7287</Identifier>

</Author>
<Author>
					<FirstName>Seyed Hadi</FirstName>
					<LastName>Ghaderi</LastName>
<Affiliation>صنعتی شاهرود-مهندسی مکانیک</Affiliation>
<Identifier Source="ORCID">0000-0003-1198-6795</Identifier>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2021</Year>
					<Month>04</Month>
					<Day>29</Day>
				</PubDate>
			</History>
		<Abstract>This paper investigates the effect of thickness stress on the formability of aluminum alloy metal sheets using crystal plasticity finite element analysis. A self-hardening behavior is considered for the slip systems. Further, for the prediction of necking initiation and growth, the maximum shear strain criterion is used for damage initiation and evolution. In order to implement the model in Abaqus finite element package, a VUMAT was developed based on the discretized equations and forward Euler integration scheme. After verification of the developed code, the parameters of the model were calibrated against the tensile test results. For simulating tensile test of 1 mm thick sheet, a representative volume of 3×1.5×0.5 mm&lt;sup&gt;3&lt;/sup&gt;،was partitioned into 14790 grains through a python code in ABAQUS/CAE environment and then discretized using 50 μm tetrahedral linear elements. Using the experimental data available in the literature and considering appropriate texture for the simulation domain, the crystal orientations were assigned through Euler angles. Then, tensile tests were performed on the sample in the presence of the thickness pressure stress. The results show that application of the through thickness stress increases the strain corresponding to the necking initiation and thus postpones necking. Correspondingly, a decrease in tensile load is observed in this case.</Abstract>
			<OtherAbstract Language="FA">This paper investigates the effect of thickness stress on the formability of aluminum alloy metal sheets using crystal plasticity finite element analysis. A self-hardening behavior is considered for the slip systems. Further, for the prediction of necking initiation and growth, the maximum shear strain criterion is used for damage initiation and evolution. In order to implement the model in Abaqus finite element package, a VUMAT was developed based on the discretized equations and forward Euler integration scheme. After verification of the developed code, the parameters of the model were calibrated against the tensile test results. For simulating tensile test of 1 mm thick sheet, a representative volume of 3×1.5×0.5 mm&lt;sup&gt;3&lt;/sup&gt;،was partitioned into 14790 grains through a python code in ABAQUS/CAE environment and then discretized using 50 μm tetrahedral linear elements. Using the experimental data available in the literature and considering appropriate texture for the simulation domain, the crystal orientations were assigned through Euler angles. Then, tensile tests were performed on the sample in the presence of the thickness pressure stress. The results show that application of the through thickness stress increases the strain corresponding to the necking initiation and thus postpones necking. Correspondingly, a decrease in tensile load is observed in this case.</OtherAbstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Crystal Plasticity</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">finite element method</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Uniaxial tensile test</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">sheet metal formability</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Through-thickness stress</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://mej.aut.ac.ir/article_4517_7109af321d970c64a0154000a60e65c8.pdf</ArchiveCopySource>
</Article>
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