Prediction of shear strength of cluster-strengthened aluminum with multi-scale approach describing transition from cutting to bypass of precipitates by dislocations

•Molecular dynamics study of interaction of edge dislocation with 1-4 nm copper clusters in aluminum is carried out.•Main mechanism of overcoming of 1-1.2 nm copper clusters is its cutting by dislocation.•Main mechanism of overcoming of 1.4-4 nm copper clusters is its bypass by Orowan mechanism.•Mod...

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Veröffentlicht in:International journal of plasticity 2021-11, Vol.146, p.103095, Article 103095
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description •Molecular dynamics study of interaction of edge dislocation with 1-4 nm copper clusters in aluminum is carried out.•Main mechanism of overcoming of 1-1.2 nm copper clusters is its cutting by dislocation.•Main mechanism of overcoming of 1.4-4 nm copper clusters is its bypass by Orowan mechanism.•Model of dislocation motion in aluminum with copper clusters is developed with accounting of precipitate cutting/bypass.•Parameters of precipitate cutting/bypass model are fitted to MD data with the Bayesian algorithm.•Model of dislocation motion with precipitate cutting/bypass is implemented into 2D discrete-dislocation dynamics.•DDD predicts flow stress of alloy close to experimentally observed.•Alloy with cluster demonstrates substantially lower tendency to plastic localization in comparison with classically aged ones. We investigate the deformation of aluminum alloy containing copper in the form of fine Al-Cu clusters 1–4 nm in diameter with multiscale approach. A part of these precipitates (clusters of 1–2 nm in diameter) reproduce that were experimentally obtained by (Sun et al., 2019) by cyclic dynamic loading of aluminum alloy. At the first stage, molecular dynamics (MD) reveals that main mechanism of interaction of dislocation with the copper-containing cluster are cutting of precipitate for 1 nm cluster and bypass by Orowan mechanism for clusters with diameters above 1.4 nm. Single events of climb are observed in MD, frequency of which increases with a temperature raise. The stresses level realized for the climb mechanism practically do not differ from that of the basic mechanism for the considered inclusion diameters. Also, the results of MD simulations show that the strength of the cluster depends on the presence of enough number of copper atoms on the slip plane of dislocation and does not directly depend on the concentration of copper when it varies in the range of 20–100% inside the precipitate. Reduction of copper concentration below 20% decreases the precipitate resistance, and the system behavior converges to the case of pure aluminum at 0%. These results are supported by MD calculations of generalized stacking fault energy, which demonstrate a weak dependence of unstable stacking fault energy on copper concentration in the range of 30–70%. A continuum model of dislocation motion in aluminum containing the copper-containing cluster is proposed, which considers the kinetics of dislocation-precipitate interaction and accounts for the transition from
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We investigate the deformation of aluminum alloy containing copper in the form of fine Al-Cu clusters 1–4 nm in diameter with multiscale approach. A part of these precipitates (clusters of 1–2 nm in diameter) reproduce that were experimentally obtained by (Sun et al., 2019) by cyclic dynamic loading of aluminum alloy. At the first stage, molecular dynamics (MD) reveals that main mechanism of interaction of dislocation with the copper-containing cluster are cutting of precipitate for 1 nm cluster and bypass by Orowan mechanism for clusters with diameters above 1.4 nm. Single events of climb are observed in MD, frequency of which increases with a temperature raise. The stresses level realized for the climb mechanism practically do not differ from that of the basic mechanism for the considered inclusion diameters. Also, the results of MD simulations show that the strength of the cluster depends on the presence of enough number of copper atoms on the slip plane of dislocation and does not directly depend on the concentration of copper when it varies in the range of 20–100% inside the precipitate. Reduction of copper concentration below 20% decreases the precipitate resistance, and the system behavior converges to the case of pure aluminum at 0%. These results are supported by MD calculations of generalized stacking fault energy, which demonstrate a weak dependence of unstable stacking fault energy on copper concentration in the range of 30–70%. A continuum model of dislocation motion in aluminum containing the copper-containing cluster is proposed, which considers the kinetics of dislocation-precipitate interaction and accounts for the transition from cutting to bypass. Parameters of the model are fitted to MD data with Bayesian algorithm. Model of dislocation motion and dislocation-precipitate interaction is implemented into 2D discrete-dislocation dynamics (DDD). Flow stress of alloy predicted with DDD demonstrates reasonable agreement with the experimental data. Calculations show that the cluster-strengthened alloy demonstrates much less inhomogeneity of plastic deformation in comparison with the alloy with a comparable flow stress and volume fraction of typical phases precipitated during classical aging, which is also in line with the experiment. [Display omitted]</description><identifier>ISSN: 0749-6419</identifier><identifier>EISSN: 1879-2154</identifier><identifier>DOI: 10.1016/j.ijplas.2021.103095</identifier><language>eng</language><publisher>New York: Elsevier Ltd</publisher><subject>Algorithms ; Aluminum alloy ; Aluminum alloys ; Aluminum base alloys ; Atomic properties ; Chemical precipitation ; Clusters ; Continuum model ; Continuum modeling ; Copper ; Copper cluster ; Discrete dislocation dynamics ; Dislocation ; Dynamic loads ; Inhomogeneity ; Molecular dynamics ; Multiscale analysis ; Orowan mechanism ; Plastic deformation ; Precipitate cutting ; Precipitates ; Shear strength ; Slip planes ; Stacking fault energy ; Two dimensional flow ; Two dimensional models ; Yield strength</subject><ispartof>International journal of plasticity, 2021-11, Vol.146, p.103095, Article 103095</ispartof><rights>2021 Elsevier Ltd</rights><rights>Copyright Elsevier BV Nov 2021</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c264t-f5f45e127f9e02f1d82a3b2483ce9cfb89d4760027bb14ef7c7dfd9012b12bcd3</citedby><cites>FETCH-LOGICAL-c264t-f5f45e127f9e02f1d82a3b2483ce9cfb89d4760027bb14ef7c7dfd9012b12bcd3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0749641921001662$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65534</link.rule.ids></links><search><creatorcontrib>Fomin, E.V.</creatorcontrib><creatorcontrib>Mayer, A.E.</creatorcontrib><creatorcontrib>Krasnikov, V.S.</creatorcontrib><title>Prediction of shear strength of cluster-strengthened aluminum with multi-scale approach describing transition from cutting to bypass of precipitates by dislocations</title><title>International journal of plasticity</title><description>•Molecular dynamics study of interaction of edge dislocation with 1-4 nm copper clusters in aluminum is carried out.•Main mechanism of overcoming of 1-1.2 nm copper clusters is its cutting by dislocation.•Main mechanism of overcoming of 1.4-4 nm copper clusters is its bypass by Orowan mechanism.•Model of dislocation motion in aluminum with copper clusters is developed with accounting of precipitate cutting/bypass.•Parameters of precipitate cutting/bypass model are fitted to MD data with the Bayesian algorithm.•Model of dislocation motion with precipitate cutting/bypass is implemented into 2D discrete-dislocation dynamics.•DDD predicts flow stress of alloy close to experimentally observed.•Alloy with cluster demonstrates substantially lower tendency to plastic localization in comparison with classically aged ones. We investigate the deformation of aluminum alloy containing copper in the form of fine Al-Cu clusters 1–4 nm in diameter with multiscale approach. A part of these precipitates (clusters of 1–2 nm in diameter) reproduce that were experimentally obtained by (Sun et al., 2019) by cyclic dynamic loading of aluminum alloy. At the first stage, molecular dynamics (MD) reveals that main mechanism of interaction of dislocation with the copper-containing cluster are cutting of precipitate for 1 nm cluster and bypass by Orowan mechanism for clusters with diameters above 1.4 nm. Single events of climb are observed in MD, frequency of which increases with a temperature raise. The stresses level realized for the climb mechanism practically do not differ from that of the basic mechanism for the considered inclusion diameters. Also, the results of MD simulations show that the strength of the cluster depends on the presence of enough number of copper atoms on the slip plane of dislocation and does not directly depend on the concentration of copper when it varies in the range of 20–100% inside the precipitate. Reduction of copper concentration below 20% decreases the precipitate resistance, and the system behavior converges to the case of pure aluminum at 0%. These results are supported by MD calculations of generalized stacking fault energy, which demonstrate a weak dependence of unstable stacking fault energy on copper concentration in the range of 30–70%. A continuum model of dislocation motion in aluminum containing the copper-containing cluster is proposed, which considers the kinetics of dislocation-precipitate interaction and accounts for the transition from cutting to bypass. Parameters of the model are fitted to MD data with Bayesian algorithm. Model of dislocation motion and dislocation-precipitate interaction is implemented into 2D discrete-dislocation dynamics (DDD). Flow stress of alloy predicted with DDD demonstrates reasonable agreement with the experimental data. Calculations show that the cluster-strengthened alloy demonstrates much less inhomogeneity of plastic deformation in comparison with the alloy with a comparable flow stress and volume fraction of typical phases precipitated during classical aging, which is also in line with the experiment. [Display omitted]</description><subject>Algorithms</subject><subject>Aluminum alloy</subject><subject>Aluminum alloys</subject><subject>Aluminum base alloys</subject><subject>Atomic properties</subject><subject>Chemical precipitation</subject><subject>Clusters</subject><subject>Continuum model</subject><subject>Continuum modeling</subject><subject>Copper</subject><subject>Copper cluster</subject><subject>Discrete dislocation dynamics</subject><subject>Dislocation</subject><subject>Dynamic loads</subject><subject>Inhomogeneity</subject><subject>Molecular dynamics</subject><subject>Multiscale analysis</subject><subject>Orowan mechanism</subject><subject>Plastic deformation</subject><subject>Precipitate cutting</subject><subject>Precipitates</subject><subject>Shear strength</subject><subject>Slip planes</subject><subject>Stacking fault energy</subject><subject>Two dimensional flow</subject><subject>Two dimensional models</subject><subject>Yield strength</subject><issn>0749-6419</issn><issn>1879-2154</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9Uc1q3jAQFKGFfk37Bj0IevYXSZb_LoES2iQQSA7pWcjSKp-MbblauSXv0wetHCfXwsLCMLPD7BDyhbMjZ7y-GI5-WEaNR8EEz1DJuuqMHHjbdIXglXxHDqyRXVFL3n0gHxEHxljVlvxA_j5EsN4kH2YaHMUT6EgxRZif0mlDzLhigli8YTCDpXpcJz-vE_3jM2tax-QLNHoEqpclBm1O1AKa6Hs_P9EU9Yz-xcLFMFGzpvSCB9o_Lxpx81kiGL_4pBNghqn1OAajNxV-Iu-dHhE-v-5z8vPH98erm-Lu_vr26ttdYUQtU-EqJyvgonEdMOG4bYUueyHb0kBnXN92VjY1Y6Lpey7BNaaxznaMiz6PseU5-brfzRl-rYBJDWGNc7ZUompFW5W14Jkld5aJATGCU0v0k47PijO19aEGtfehtj7U3keWXe4yyAl-e4gKjYfZ5Pfn6EnZ4P9_4B_2J5tP</recordid><startdate>202111</startdate><enddate>202111</enddate><creator>Fomin, E.V.</creator><creator>Mayer, A.E.</creator><creator>Krasnikov, V.S.</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>8BQ</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope></search><sort><creationdate>202111</creationdate><title>Prediction of shear strength of cluster-strengthened aluminum with multi-scale approach describing transition from cutting to bypass of precipitates by dislocations</title><author>Fomin, E.V. ; Mayer, A.E. ; Krasnikov, V.S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c264t-f5f45e127f9e02f1d82a3b2483ce9cfb89d4760027bb14ef7c7dfd9012b12bcd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Algorithms</topic><topic>Aluminum alloy</topic><topic>Aluminum alloys</topic><topic>Aluminum base alloys</topic><topic>Atomic properties</topic><topic>Chemical precipitation</topic><topic>Clusters</topic><topic>Continuum model</topic><topic>Continuum modeling</topic><topic>Copper</topic><topic>Copper cluster</topic><topic>Discrete dislocation dynamics</topic><topic>Dislocation</topic><topic>Dynamic loads</topic><topic>Inhomogeneity</topic><topic>Molecular dynamics</topic><topic>Multiscale analysis</topic><topic>Orowan mechanism</topic><topic>Plastic deformation</topic><topic>Precipitate cutting</topic><topic>Precipitates</topic><topic>Shear strength</topic><topic>Slip planes</topic><topic>Stacking fault energy</topic><topic>Two dimensional flow</topic><topic>Two dimensional models</topic><topic>Yield strength</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fomin, E.V.</creatorcontrib><creatorcontrib>Mayer, A.E.</creatorcontrib><creatorcontrib>Krasnikov, V.S.</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>International journal of plasticity</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fomin, E.V.</au><au>Mayer, A.E.</au><au>Krasnikov, V.S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Prediction of shear strength of cluster-strengthened aluminum with multi-scale approach describing transition from cutting to bypass of precipitates by dislocations</atitle><jtitle>International journal of plasticity</jtitle><date>2021-11</date><risdate>2021</risdate><volume>146</volume><spage>103095</spage><pages>103095-</pages><artnum>103095</artnum><issn>0749-6419</issn><eissn>1879-2154</eissn><abstract>•Molecular dynamics study of interaction of edge dislocation with 1-4 nm copper clusters in aluminum is carried out.•Main mechanism of overcoming of 1-1.2 nm copper clusters is its cutting by dislocation.•Main mechanism of overcoming of 1.4-4 nm copper clusters is its bypass by Orowan mechanism.•Model of dislocation motion in aluminum with copper clusters is developed with accounting of precipitate cutting/bypass.•Parameters of precipitate cutting/bypass model are fitted to MD data with the Bayesian algorithm.•Model of dislocation motion with precipitate cutting/bypass is implemented into 2D discrete-dislocation dynamics.•DDD predicts flow stress of alloy close to experimentally observed.•Alloy with cluster demonstrates substantially lower tendency to plastic localization in comparison with classically aged ones. We investigate the deformation of aluminum alloy containing copper in the form of fine Al-Cu clusters 1–4 nm in diameter with multiscale approach. A part of these precipitates (clusters of 1–2 nm in diameter) reproduce that were experimentally obtained by (Sun et al., 2019) by cyclic dynamic loading of aluminum alloy. At the first stage, molecular dynamics (MD) reveals that main mechanism of interaction of dislocation with the copper-containing cluster are cutting of precipitate for 1 nm cluster and bypass by Orowan mechanism for clusters with diameters above 1.4 nm. Single events of climb are observed in MD, frequency of which increases with a temperature raise. The stresses level realized for the climb mechanism practically do not differ from that of the basic mechanism for the considered inclusion diameters. Also, the results of MD simulations show that the strength of the cluster depends on the presence of enough number of copper atoms on the slip plane of dislocation and does not directly depend on the concentration of copper when it varies in the range of 20–100% inside the precipitate. Reduction of copper concentration below 20% decreases the precipitate resistance, and the system behavior converges to the case of pure aluminum at 0%. These results are supported by MD calculations of generalized stacking fault energy, which demonstrate a weak dependence of unstable stacking fault energy on copper concentration in the range of 30–70%. A continuum model of dislocation motion in aluminum containing the copper-containing cluster is proposed, which considers the kinetics of dislocation-precipitate interaction and accounts for the transition from cutting to bypass. Parameters of the model are fitted to MD data with Bayesian algorithm. Model of dislocation motion and dislocation-precipitate interaction is implemented into 2D discrete-dislocation dynamics (DDD). Flow stress of alloy predicted with DDD demonstrates reasonable agreement with the experimental data. Calculations show that the cluster-strengthened alloy demonstrates much less inhomogeneity of plastic deformation in comparison with the alloy with a comparable flow stress and volume fraction of typical phases precipitated during classical aging, which is also in line with the experiment. [Display omitted]</abstract><cop>New York</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijplas.2021.103095</doi></addata></record>
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subjects Algorithms
Aluminum alloy
Aluminum alloys
Aluminum base alloys
Atomic properties
Chemical precipitation
Clusters
Continuum model
Continuum modeling
Copper
Copper cluster
Discrete dislocation dynamics
Dislocation
Dynamic loads
Inhomogeneity
Molecular dynamics
Multiscale analysis
Orowan mechanism
Plastic deformation
Precipitate cutting
Precipitates
Shear strength
Slip planes
Stacking fault energy
Two dimensional flow
Two dimensional models
Yield strength
title Prediction of shear strength of cluster-strengthened aluminum with multi-scale approach describing transition from cutting to bypass of precipitates by dislocations
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