Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method
A comprehensive model is developed for solving the heat and solute diffusion equations during solidification that avoids tracking the liquid—solid interface. The bulk liquid and solid phases are treated as regular solutions and an order parameter (the phase field) is introduced to describe the inter...
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| Veröffentlicht in: | Acta Metallurgica et Materialia 1995-02, Vol.43 (2), p.689-703 |
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| container_title | Acta Metallurgica et Materialia |
| container_volume | 43 |
| creator | Warren, J.A. Boettinger, W.J. |
| description | A comprehensive model is developed for solving the heat and solute diffusion equations during solidification that avoids tracking the liquid—solid interface. The bulk liquid and solid phases are treated as regular solutions and an order parameter (the phase field) is introduced to describe the interfacial region between them. Two-dimensional computations are performed for ideal solutions and for dendritic growth into an isothermal and highly supersaturated liquid phase. The dependence upon various material and computational parameters, including the approach to conventional sharp interface theories, is investigated. Realistic growth patterns are obtained that include the development, coarsening, and coalescence of secondary and tertiary dendrite arms. Microsegregation patterns are examined and compared for different values of the solid diffusion coefficient. |
| doi_str_mv | 10.1016/0956-7151(94)00285-P |
| format | Article |
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The bulk liquid and solid phases are treated as regular solutions and an order parameter (the phase field) is introduced to describe the interfacial region between them. Two-dimensional computations are performed for ideal solutions and for dendritic growth into an isothermal and highly supersaturated liquid phase. The dependence upon various material and computational parameters, including the approach to conventional sharp interface theories, is investigated. Realistic growth patterns are obtained that include the development, coarsening, and coalescence of secondary and tertiary dendrite arms. 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Microsegregation patterns are examined and compared for different values of the solid diffusion coefficient.</description><subject>Applied sciences</subject><subject>BINARY ALLOY SYSTEMS</subject><subject>Cross-disciplinary physics: materials science; rheology</subject><subject>DENDRITES</subject><subject>DIFFUSION</subject><subject>Exact sciences and technology</subject><subject>HEAT TRANSFER</subject><subject>LIQUID METALS</subject><subject>MATERIALS SCIENCE</subject><subject>MATHEMATICAL MODELS</subject><subject>Metals. Metallurgy</subject><subject>Phase diagrams and microstructures developed by solidification and solid-solid phase transformations</subject><subject>Physics</subject><subject>SOLIDIFICATION</subject><subject>SOLUTIONS</subject><subject>SUPERSATURATION</subject><issn>0956-7151</issn><issn>1873-2879</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1995</creationdate><recordtype>article</recordtype><recordid>eNp9kT1vFDEQhi0EEkfgH1C4QAiKBX973SChCBKkSFwBteWzx7eGPfuwfUH59-zmopRU0zzzzswzCL2m5AMlVH0kRqpBU0nfGfGeEDbKYfsEbeio-cBGbZ6izSPyHL1o7RchVBBGNuj3tkJIvqeScYk4QA419eTxvpa_fcIuB3xIvpYG-wp7dw8eXe9Qc8MpY4d3Kbt6h908lzt8ainvcZ8AHyfXYIgJ5iUB-lTCS_QsurnBq4d6gX5-_fLj8nq4-X717fLzzeAlUX3wUUiQIe4ISEYI0Twyo_SojFC7aKiIHAwHrSFITgUfFYshSBMVwM44zi8QPueW1pNtPnXwky85g--W6dGYBXl7Ro61_DlB6_aQmod5dhnKqVkmDVdMiQUUZ3BV0CpEe6zpsNxrKbGrfLuatatZa4S9l2-3S9ubh3zXvJtjddmn9tjLBSGjJgv26YzBouM2QV23heyXl9R12VDS_-f8A6_HmYk</recordid><startdate>19950201</startdate><enddate>19950201</enddate><creator>Warren, J.A.</creator><creator>Boettinger, W.J.</creator><general>Elsevier B.V</general><general>Pergamon Press</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope><scope>OTOTI</scope></search><sort><creationdate>19950201</creationdate><title>Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method</title><author>Warren, J.A. ; Boettinger, W.J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c506t-cf45e5dfb0e5200073f296786946bf914f3e93e77ed53143862fdd59f6eeb9a33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1995</creationdate><topic>Applied sciences</topic><topic>BINARY ALLOY SYSTEMS</topic><topic>Cross-disciplinary physics: materials science; rheology</topic><topic>DENDRITES</topic><topic>DIFFUSION</topic><topic>Exact sciences and technology</topic><topic>HEAT TRANSFER</topic><topic>LIQUID METALS</topic><topic>MATERIALS SCIENCE</topic><topic>MATHEMATICAL MODELS</topic><topic>Metals. Metallurgy</topic><topic>Phase diagrams and microstructures developed by solidification and solid-solid phase transformations</topic><topic>Physics</topic><topic>SOLIDIFICATION</topic><topic>SOLUTIONS</topic><topic>SUPERSATURATION</topic><toplevel>online_resources</toplevel><creatorcontrib>Warren, J.A.</creatorcontrib><creatorcontrib>Boettinger, W.J.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>OSTI.GOV</collection><jtitle>Acta Metallurgica et Materialia</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Warren, J.A.</au><au>Boettinger, W.J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method</atitle><jtitle>Acta Metallurgica et Materialia</jtitle><date>1995-02-01</date><risdate>1995</risdate><volume>43</volume><issue>2</issue><spage>689</spage><epage>703</epage><pages>689-703</pages><issn>0956-7151</issn><eissn>1873-2879</eissn><abstract>A comprehensive model is developed for solving the heat and solute diffusion equations during solidification that avoids tracking the liquid—solid interface. 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| fulltext | fulltext |
| identifier | ISSN: 0956-7151 |
| ispartof | Acta Metallurgica et Materialia, 1995-02, Vol.43 (2), p.689-703 |
| issn | 0956-7151 1873-2879 |
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| source | Alma/SFX Local Collection |
| subjects | Applied sciences BINARY ALLOY SYSTEMS Cross-disciplinary physics: materials science rheology DENDRITES DIFFUSION Exact sciences and technology HEAT TRANSFER LIQUID METALS MATERIALS SCIENCE MATHEMATICAL MODELS Metals. Metallurgy Phase diagrams and microstructures developed by solidification and solid-solid phase transformations Physics SOLIDIFICATION SOLUTIONS SUPERSATURATION |
| title | Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method |
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