Linear Elasticity of Cubic Phases in Block Copolymer Melts by Self-Consistent Field Theory
We examine the linear elasticity of the bcc and gyroid phases of block copolymer melts with self-consistent field theory (SCFT). Linear elastic moduli for single crystals are predicted by calculating the free energies for slightly deformed crystal structures. Predicted Voight and Reuss bounds for th...
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Veröffentlicht in: | Macromolecules 2003-05, Vol.36 (10), p.3764-3774 |
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description | We examine the linear elasticity of the bcc and gyroid phases of block copolymer melts with self-consistent field theory (SCFT). Linear elastic moduli for single crystals are predicted by calculating the free energies for slightly deformed crystal structures. Predicted Voight and Reuss bounds for the shear modulus of a polycrystalline material are quantitatively compared to the cubic plateau moduli found in linear viscoelastic measurements of both phases with good agreement. We also consider a model of pairwise additive interactions between “micelles” in the bcc and fcc phases and find that it predicts ratios of elastic constants consistent with those predicted by SCFT for the bcc phase, but not for the fcc phase. |
doi_str_mv | 10.1021/ma0256946 |
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Linear elastic moduli for single crystals are predicted by calculating the free energies for slightly deformed crystal structures. Predicted Voight and Reuss bounds for the shear modulus of a polycrystalline material are quantitatively compared to the cubic plateau moduli found in linear viscoelastic measurements of both phases with good agreement. We also consider a model of pairwise additive interactions between “micelles” in the bcc and fcc phases and find that it predicts ratios of elastic constants consistent with those predicted by SCFT for the bcc phase, but not for the fcc phase.</description><identifier>ISSN: 0024-9297</identifier><identifier>EISSN: 1520-5835</identifier><identifier>DOI: 10.1021/ma0256946</identifier><identifier>CODEN: MAMOBX</identifier><language>eng</language><publisher>Washington, DC: American Chemical Society</publisher><subject>Applied sciences ; Exact sciences and technology ; Mechanical properties ; Organic polymers ; Physicochemistry of polymers ; Properties and characterization</subject><ispartof>Macromolecules, 2003-05, Vol.36 (10), p.3764-3774</ispartof><rights>Copyright © 2003 American Chemical Society</rights><rights>2003 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a325t-dbe64503f3aca86b3e7171f1fcd3aa9d38a8e9a54167f53d0af14798102c62083</citedby><cites>FETCH-LOGICAL-a325t-dbe64503f3aca86b3e7171f1fcd3aa9d38a8e9a54167f53d0af14798102c62083</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://pubs.acs.org/doi/pdf/10.1021/ma0256946$$EPDF$$P50$$Gacs$$H</linktopdf><linktohtml>$$Uhttps://pubs.acs.org/doi/10.1021/ma0256946$$EHTML$$P50$$Gacs$$H</linktohtml><link.rule.ids>314,776,780,2752,27053,27901,27902,56713,56763</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=14826048$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Tyler, Christopher A</creatorcontrib><creatorcontrib>Morse, David C</creatorcontrib><title>Linear Elasticity of Cubic Phases in Block Copolymer Melts by Self-Consistent Field Theory</title><title>Macromolecules</title><addtitle>Macromolecules</addtitle><description>We examine the linear elasticity of the bcc and gyroid phases of block copolymer melts with self-consistent field theory (SCFT). Linear elastic moduli for single crystals are predicted by calculating the free energies for slightly deformed crystal structures. Predicted Voight and Reuss bounds for the shear modulus of a polycrystalline material are quantitatively compared to the cubic plateau moduli found in linear viscoelastic measurements of both phases with good agreement. We also consider a model of pairwise additive interactions between “micelles” in the bcc and fcc phases and find that it predicts ratios of elastic constants consistent with those predicted by SCFT for the bcc phase, but not for the fcc phase.</description><subject>Applied sciences</subject><subject>Exact sciences and technology</subject><subject>Mechanical properties</subject><subject>Organic polymers</subject><subject>Physicochemistry of polymers</subject><subject>Properties and characterization</subject><issn>0024-9297</issn><issn>1520-5835</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><recordid>eNptkE1Lw0AQhhdRsFYP_oO9ePAQ3c98HDW0VYhaaIXiZZlsdum2aVJ2UzD_3paKvXiaw7zzDM-L0C0lD5Qw-rgBwmScifgMDahkJJIpl-doQAgTUcay5BJdhbAihFIp-AB9Fa4x4PGohtA57boetxbnu9JpPF1CMAG7Bj_XrV7jvN22db8xHr-Zugu47PHM1DbK2ya40Jmmw2Nn6grPl6b1_TW6sFAHc_M7h-hzPJrnL1HxMXnNn4oIOJNdVJUmFpJwy0FDGpfcJDShllpdcYCs4imkJgMpaJxYySsClookS_e6OmYk5UN0f-Rq34bgjVVb7zbge0WJOpSi_krZZ--O2S0EDbX10GgXTgciZTERB2Z0zB28vv_24NcqTngi1Xw6U5NFkb0n2UKJExd0UKt255u98T__fwCuBnuV</recordid><startdate>20030520</startdate><enddate>20030520</enddate><creator>Tyler, Christopher A</creator><creator>Morse, David C</creator><general>American Chemical Society</general><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20030520</creationdate><title>Linear Elasticity of Cubic Phases in Block Copolymer Melts by Self-Consistent Field Theory</title><author>Tyler, Christopher A ; Morse, David C</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a325t-dbe64503f3aca86b3e7171f1fcd3aa9d38a8e9a54167f53d0af14798102c62083</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Applied sciences</topic><topic>Exact sciences and technology</topic><topic>Mechanical properties</topic><topic>Organic polymers</topic><topic>Physicochemistry of polymers</topic><topic>Properties and characterization</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tyler, Christopher A</creatorcontrib><creatorcontrib>Morse, David C</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>Macromolecules</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tyler, Christopher A</au><au>Morse, David C</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Linear Elasticity of Cubic Phases in Block Copolymer Melts by Self-Consistent Field Theory</atitle><jtitle>Macromolecules</jtitle><addtitle>Macromolecules</addtitle><date>2003-05-20</date><risdate>2003</risdate><volume>36</volume><issue>10</issue><spage>3764</spage><epage>3774</epage><pages>3764-3774</pages><issn>0024-9297</issn><eissn>1520-5835</eissn><coden>MAMOBX</coden><abstract>We examine the linear elasticity of the bcc and gyroid phases of block copolymer melts with self-consistent field theory (SCFT). Linear elastic moduli for single crystals are predicted by calculating the free energies for slightly deformed crystal structures. Predicted Voight and Reuss bounds for the shear modulus of a polycrystalline material are quantitatively compared to the cubic plateau moduli found in linear viscoelastic measurements of both phases with good agreement. We also consider a model of pairwise additive interactions between “micelles” in the bcc and fcc phases and find that it predicts ratios of elastic constants consistent with those predicted by SCFT for the bcc phase, but not for the fcc phase.</abstract><cop>Washington, DC</cop><pub>American Chemical Society</pub><doi>10.1021/ma0256946</doi><tpages>11</tpages></addata></record> |
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subjects | Applied sciences Exact sciences and technology Mechanical properties Organic polymers Physicochemistry of polymers Properties and characterization |
title | Linear Elasticity of Cubic Phases in Block Copolymer Melts by Self-Consistent Field Theory |
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