Spinodal decomposition in a small radially stressed sphere
The conditions for thermodynamic equilibrium are derived for a binary alloy configured as a small sphere with radially symmetric composition and elastic fields. These conditions are used to test the stability of a homogeneous alloy against composition fluctuations and to write dynamical equations fo...
Gespeichert in:
| Veröffentlicht in: | Acta materialia 2001-10, Vol.49 (17), p.3463-3474 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 3474 |
|---|---|
| container_issue | 17 |
| container_start_page | 3463 |
| container_title | Acta materialia |
| container_volume | 49 |
| creator | Johnson, W.C. |
| description | The conditions for thermodynamic equilibrium are derived for a binary alloy configured as a small sphere with radially symmetric composition and elastic fields. These conditions are used to test the stability of a homogeneous alloy against composition fluctuations and to write dynamical equations for microstructural evolution. The surface stress (T̂) and external traction interact with the second compositional derivative of the lattice parameter (ecc), and can either enhance or diminish the stability of the alloy depending on the sign of T̂ecc. The magnitude of the effect is inversely proportional to the sphere radius. Numerical calculations of the non-linear dynamical equations for decomposition are given that show the dependence of the precipitate composition on the surface stress, the sphere radius, and the composition dependence of the lattice parameter, and demonstrate the existence of two different equilibrium states for a given alloy composition and temperature. |
| doi_str_mv | 10.1016/S1359-6454(01)00255-5 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_26964530</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S1359645401002555</els_id><sourcerecordid>26964530</sourcerecordid><originalsourceid>FETCH-LOGICAL-c367t-f256a0afc707bb9cb3959b2963dbdd9af19ed03b0fd4f80b145ed1944e5fb20d3</originalsourceid><addsrcrecordid>eNqFkEtLBDEQhIMouK7-BGEOInoY7UwmMxsvIosvWPCweg6ZpIOReZkehf33zj7Eo6fqw1ddVDF2yuGKAy-ul1xIlRa5zC-AXwJkUqZyj034rBRplkuxP96_yCE7IvoA4FmZw4TdLPvQds7UiUPbNX1HYQhdm4Q2MQk1pq6TaFwYdZXQEJEIXUL9O0Y8Zgfe1IQnO52yt4f71_lTunh5fJ7fLVIrinJIfSYLA8bbEsqqUrYSSqoqU4VwlXPKeK7QgajAu9zPoOK5RMdVnqP0VQZOTNn59m8fu88vpEE3gSzWtWmx-yKdFWosJmAE5Ra0sSOK6HUfQ2PiSnPQ66X0Zim9nkED15ultBx9Z7sAQ9bUPprWBvozc16W2Rq73WI4lv0OGDXZgK1FFyLaQbsu_BP0A_T_fV4</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>26964530</pqid></control><display><type>article</type><title>Spinodal decomposition in a small radially stressed sphere</title><source>Access via ScienceDirect (Elsevier)</source><creator>Johnson, W.C.</creator><creatorcontrib>Johnson, W.C.</creatorcontrib><description>The conditions for thermodynamic equilibrium are derived for a binary alloy configured as a small sphere with radially symmetric composition and elastic fields. These conditions are used to test the stability of a homogeneous alloy against composition fluctuations and to write dynamical equations for microstructural evolution. The surface stress (T̂) and external traction interact with the second compositional derivative of the lattice parameter (ecc), and can either enhance or diminish the stability of the alloy depending on the sign of T̂ecc. The magnitude of the effect is inversely proportional to the sphere radius. Numerical calculations of the non-linear dynamical equations for decomposition are given that show the dependence of the precipitate composition on the surface stress, the sphere radius, and the composition dependence of the lattice parameter, and demonstrate the existence of two different equilibrium states for a given alloy composition and temperature.</description><identifier>ISSN: 1359-6454</identifier><identifier>EISSN: 1873-2453</identifier><identifier>DOI: 10.1016/S1359-6454(01)00255-5</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Applied sciences ; Constant-composition solid-solid phase transformations: polymorphic, massive, and order-disorder ; Cross-disciplinary physics: materials science; rheology ; Exact sciences and technology ; Materials science ; Metals. Metallurgy ; Phase diagrams and microstructures developed by solidification and solid-solid phase transformations ; Phase transformations: spinodal decomposition ; Physics ; Surface stress ; Theory & modeling: kinetics, transport, diffusion</subject><ispartof>Acta materialia, 2001-10, Vol.49 (17), p.3463-3474</ispartof><rights>2001 Acta Materialia Inc.</rights><rights>2001 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c367t-f256a0afc707bb9cb3959b2963dbdd9af19ed03b0fd4f80b145ed1944e5fb20d3</citedby><cites>FETCH-LOGICAL-c367t-f256a0afc707bb9cb3959b2963dbdd9af19ed03b0fd4f80b145ed1944e5fb20d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/S1359-6454(01)00255-5$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=1117725$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Johnson, W.C.</creatorcontrib><title>Spinodal decomposition in a small radially stressed sphere</title><title>Acta materialia</title><description>The conditions for thermodynamic equilibrium are derived for a binary alloy configured as a small sphere with radially symmetric composition and elastic fields. These conditions are used to test the stability of a homogeneous alloy against composition fluctuations and to write dynamical equations for microstructural evolution. The surface stress (T̂) and external traction interact with the second compositional derivative of the lattice parameter (ecc), and can either enhance or diminish the stability of the alloy depending on the sign of T̂ecc. The magnitude of the effect is inversely proportional to the sphere radius. Numerical calculations of the non-linear dynamical equations for decomposition are given that show the dependence of the precipitate composition on the surface stress, the sphere radius, and the composition dependence of the lattice parameter, and demonstrate the existence of two different equilibrium states for a given alloy composition and temperature.</description><subject>Applied sciences</subject><subject>Constant-composition solid-solid phase transformations: polymorphic, massive, and order-disorder</subject><subject>Cross-disciplinary physics: materials science; rheology</subject><subject>Exact sciences and technology</subject><subject>Materials science</subject><subject>Metals. Metallurgy</subject><subject>Phase diagrams and microstructures developed by solidification and solid-solid phase transformations</subject><subject>Phase transformations: spinodal decomposition</subject><subject>Physics</subject><subject>Surface stress</subject><subject>Theory & modeling: kinetics, transport, diffusion</subject><issn>1359-6454</issn><issn>1873-2453</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><recordid>eNqFkEtLBDEQhIMouK7-BGEOInoY7UwmMxsvIosvWPCweg6ZpIOReZkehf33zj7Eo6fqw1ddVDF2yuGKAy-ul1xIlRa5zC-AXwJkUqZyj034rBRplkuxP96_yCE7IvoA4FmZw4TdLPvQds7UiUPbNX1HYQhdm4Q2MQk1pq6TaFwYdZXQEJEIXUL9O0Y8Zgfe1IQnO52yt4f71_lTunh5fJ7fLVIrinJIfSYLA8bbEsqqUrYSSqoqU4VwlXPKeK7QgajAu9zPoOK5RMdVnqP0VQZOTNn59m8fu88vpEE3gSzWtWmx-yKdFWosJmAE5Ra0sSOK6HUfQ2PiSnPQ66X0Zim9nkED15ultBx9Z7sAQ9bUPprWBvozc16W2Rq73WI4lv0OGDXZgK1FFyLaQbsu_BP0A_T_fV4</recordid><startdate>20011009</startdate><enddate>20011009</enddate><creator>Johnson, W.C.</creator><general>Elsevier Ltd</general><general>Elsevier Science</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8BQ</scope><scope>8FD</scope><scope>H8D</scope><scope>JG9</scope><scope>L7M</scope></search><sort><creationdate>20011009</creationdate><title>Spinodal decomposition in a small radially stressed sphere</title><author>Johnson, W.C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c367t-f256a0afc707bb9cb3959b2963dbdd9af19ed03b0fd4f80b145ed1944e5fb20d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><topic>Applied sciences</topic><topic>Constant-composition solid-solid phase transformations: polymorphic, massive, and order-disorder</topic><topic>Cross-disciplinary physics: materials science; rheology</topic><topic>Exact sciences and technology</topic><topic>Materials science</topic><topic>Metals. Metallurgy</topic><topic>Phase diagrams and microstructures developed by solidification and solid-solid phase transformations</topic><topic>Phase transformations: spinodal decomposition</topic><topic>Physics</topic><topic>Surface stress</topic><topic>Theory & modeling: kinetics, transport, diffusion</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Johnson, W.C.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Acta materialia</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Johnson, W.C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Spinodal decomposition in a small radially stressed sphere</atitle><jtitle>Acta materialia</jtitle><date>2001-10-09</date><risdate>2001</risdate><volume>49</volume><issue>17</issue><spage>3463</spage><epage>3474</epage><pages>3463-3474</pages><issn>1359-6454</issn><eissn>1873-2453</eissn><abstract>The conditions for thermodynamic equilibrium are derived for a binary alloy configured as a small sphere with radially symmetric composition and elastic fields. These conditions are used to test the stability of a homogeneous alloy against composition fluctuations and to write dynamical equations for microstructural evolution. The surface stress (T̂) and external traction interact with the second compositional derivative of the lattice parameter (ecc), and can either enhance or diminish the stability of the alloy depending on the sign of T̂ecc. The magnitude of the effect is inversely proportional to the sphere radius. Numerical calculations of the non-linear dynamical equations for decomposition are given that show the dependence of the precipitate composition on the surface stress, the sphere radius, and the composition dependence of the lattice parameter, and demonstrate the existence of two different equilibrium states for a given alloy composition and temperature.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/S1359-6454(01)00255-5</doi><tpages>12</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1359-6454 |
| ispartof | Acta materialia, 2001-10, Vol.49 (17), p.3463-3474 |
| issn | 1359-6454 1873-2453 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_26964530 |
| source | Access via ScienceDirect (Elsevier) |
| subjects | Applied sciences Constant-composition solid-solid phase transformations: polymorphic, massive, and order-disorder Cross-disciplinary physics: materials science rheology Exact sciences and technology Materials science Metals. Metallurgy Phase diagrams and microstructures developed by solidification and solid-solid phase transformations Phase transformations: spinodal decomposition Physics Surface stress Theory & modeling: kinetics, transport, diffusion |
| title | Spinodal decomposition in a small radially stressed sphere |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-19T13%3A36%3A07IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Spinodal%20decomposition%20in%20a%20small%20radially%20stressed%20sphere&rft.jtitle=Acta%20materialia&rft.au=Johnson,%20W.C.&rft.date=2001-10-09&rft.volume=49&rft.issue=17&rft.spage=3463&rft.epage=3474&rft.pages=3463-3474&rft.issn=1359-6454&rft.eissn=1873-2453&rft_id=info:doi/10.1016/S1359-6454(01)00255-5&rft_dat=%3Cproquest_cross%3E26964530%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=26964530&rft_id=info:pmid/&rft_els_id=S1359645401002555&rfr_iscdi=true |