The Mullins effect in compressible solids
A general constitutive theory of stress-softening in isotropic, compressible materials based on a two phase microstructural damage model is presented. Stress-softening induced by an uniaxial stretch of the material is analyzed, and some general analytical results consonant with experimental observat...
Gespeichert in:
| Veröffentlicht in: | International journal of engineering science 2000-09, Vol.38 (13), p.1397-1414 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1414 |
|---|---|
| container_issue | 13 |
| container_start_page | 1397 |
| container_title | International journal of engineering science |
| container_volume | 38 |
| creator | Krishnaswamy, Shankar Beatty, Millard F. |
| description | A general constitutive theory of stress-softening in isotropic, compressible materials based on a two phase microstructural damage model is presented. Stress-softening induced by an uniaxial stretch of the material is analyzed, and some general analytical results consonant with experimental observations are obtained. It is shown for compressible stress-softening materials that the Poisson function for the elastic stress-softened material generally will differ from that for the virgin material. Some general characteristics of the physical response of equi-Poisson materials are described, and an example of a general class of these materials is presented. It is shown that the physical response of isotropic, compressible stress-softening materials parallels that described in earlier papers on its incompressible counterpart. For illustration, a special subclass of stress-softening hyperelastic parent materials and an exponential softening function are introduced. The general results are then described graphically for uniaxial tension and compression of a special class of Blatz–Ko parent material models developed from experiments on polyurethane foamed rubbers. |
| doi_str_mv | 10.1016/S0020-7225(99)00125-1 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_27730594</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0020722599001251</els_id><sourcerecordid>485673</sourcerecordid><originalsourceid>FETCH-LOGICAL-c398t-63d4c81458f8a4b13d239e42ad6b68b1a7c203738390439773c19a4ce2ac0cd43</originalsourceid><addsrcrecordid>eNqNkEtLAzEURoMoWKs_QZiFiF2M5iaZZrISKb6g4sK6DpnMHYykMzW3Ffz3Th_oUld3c7574DB2CvwSOIyvXjgXPNdCFBfGjDgHUeSwxwZQapMLMHqfDX6QQ3ZE9M45L6QxAzaavWH2tIoxtJRh06BfZqHNfDdfJCQKVcSMuhhqOmYHjYuEJ7s7ZK93t7PJQz59vn-c3ExzL025zMeyVr4EVZRN6VQFshbSoBKuHlfjsgKnveBSy1IarqTRWnowTnkUznNfKzlk59u_i9R9rJCWdh7IY4yuxW5FVvQTXph_gKBUAb1syIot6FNHlLCxixTmLn1Z4HZd0G4K2nUea4zdFLTQ7852AkfexSa51gf6HSuQQoseu95i2Ff5DJgs-YCtxzqkPqetu_CH6BulqYJG</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>21445120</pqid></control><display><type>article</type><title>The Mullins effect in compressible solids</title><source>ScienceDirect Journals (5 years ago - present)</source><creator>Krishnaswamy, Shankar ; Beatty, Millard F.</creator><creatorcontrib>Krishnaswamy, Shankar ; Beatty, Millard F.</creatorcontrib><description>A general constitutive theory of stress-softening in isotropic, compressible materials based on a two phase microstructural damage model is presented. Stress-softening induced by an uniaxial stretch of the material is analyzed, and some general analytical results consonant with experimental observations are obtained. It is shown for compressible stress-softening materials that the Poisson function for the elastic stress-softened material generally will differ from that for the virgin material. Some general characteristics of the physical response of equi-Poisson materials are described, and an example of a general class of these materials is presented. It is shown that the physical response of isotropic, compressible stress-softening materials parallels that described in earlier papers on its incompressible counterpart. For illustration, a special subclass of stress-softening hyperelastic parent materials and an exponential softening function are introduced. The general results are then described graphically for uniaxial tension and compression of a special class of Blatz–Ko parent material models developed from experiments on polyurethane foamed rubbers.</description><identifier>ISSN: 0020-7225</identifier><identifier>EISSN: 1879-2197</identifier><identifier>DOI: 10.1016/S0020-7225(99)00125-1</identifier><identifier>CODEN: IJESAN</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Biomaterials ; Compressibility of solids ; Constitutive equations ; Cross-disciplinary physics: materials science; rheology ; Elasticity ; Elasticity and anelasticity ; Elasticity and anelasticity, stress-strain relations ; Elastomers ; Exact sciences and technology ; Finite elasticity ; Graph theory ; Materials science ; Mathematical models ; Microstructure ; Mullins effect ; Physics ; Poisson ratio ; Polyurethanes ; Stress analysis ; Stress-softening ; Synthetic rubber ; Treatment of materials and its effects on microstructure and properties</subject><ispartof>International journal of engineering science, 2000-09, Vol.38 (13), p.1397-1414</ispartof><rights>2000 Elsevier Science Ltd</rights><rights>2000 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c398t-63d4c81458f8a4b13d239e42ad6b68b1a7c203738390439773c19a4ce2ac0cd43</citedby><cites>FETCH-LOGICAL-c398t-63d4c81458f8a4b13d239e42ad6b68b1a7c203738390439773c19a4ce2ac0cd43</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0020722599001251$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=1413272$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Krishnaswamy, Shankar</creatorcontrib><creatorcontrib>Beatty, Millard F.</creatorcontrib><title>The Mullins effect in compressible solids</title><title>International journal of engineering science</title><description>A general constitutive theory of stress-softening in isotropic, compressible materials based on a two phase microstructural damage model is presented. Stress-softening induced by an uniaxial stretch of the material is analyzed, and some general analytical results consonant with experimental observations are obtained. It is shown for compressible stress-softening materials that the Poisson function for the elastic stress-softened material generally will differ from that for the virgin material. Some general characteristics of the physical response of equi-Poisson materials are described, and an example of a general class of these materials is presented. It is shown that the physical response of isotropic, compressible stress-softening materials parallels that described in earlier papers on its incompressible counterpart. For illustration, a special subclass of stress-softening hyperelastic parent materials and an exponential softening function are introduced. The general results are then described graphically for uniaxial tension and compression of a special class of Blatz–Ko parent material models developed from experiments on polyurethane foamed rubbers.</description><subject>Biomaterials</subject><subject>Compressibility of solids</subject><subject>Constitutive equations</subject><subject>Cross-disciplinary physics: materials science; rheology</subject><subject>Elasticity</subject><subject>Elasticity and anelasticity</subject><subject>Elasticity and anelasticity, stress-strain relations</subject><subject>Elastomers</subject><subject>Exact sciences and technology</subject><subject>Finite elasticity</subject><subject>Graph theory</subject><subject>Materials science</subject><subject>Mathematical models</subject><subject>Microstructure</subject><subject>Mullins effect</subject><subject>Physics</subject><subject>Poisson ratio</subject><subject>Polyurethanes</subject><subject>Stress analysis</subject><subject>Stress-softening</subject><subject>Synthetic rubber</subject><subject>Treatment of materials and its effects on microstructure and properties</subject><issn>0020-7225</issn><issn>1879-2197</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2000</creationdate><recordtype>article</recordtype><recordid>eNqNkEtLAzEURoMoWKs_QZiFiF2M5iaZZrISKb6g4sK6DpnMHYykMzW3Ffz3Th_oUld3c7574DB2CvwSOIyvXjgXPNdCFBfGjDgHUeSwxwZQapMLMHqfDX6QQ3ZE9M45L6QxAzaavWH2tIoxtJRh06BfZqHNfDdfJCQKVcSMuhhqOmYHjYuEJ7s7ZK93t7PJQz59vn-c3ExzL025zMeyVr4EVZRN6VQFshbSoBKuHlfjsgKnveBSy1IarqTRWnowTnkUznNfKzlk59u_i9R9rJCWdh7IY4yuxW5FVvQTXph_gKBUAb1syIot6FNHlLCxixTmLn1Z4HZd0G4K2nUea4zdFLTQ7852AkfexSa51gf6HSuQQoseu95i2Ff5DJgs-YCtxzqkPqetu_CH6BulqYJG</recordid><startdate>20000901</startdate><enddate>20000901</enddate><creator>Krishnaswamy, Shankar</creator><creator>Beatty, Millard F.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>8FD</scope><scope>JG9</scope></search><sort><creationdate>20000901</creationdate><title>The Mullins effect in compressible solids</title><author>Krishnaswamy, Shankar ; Beatty, Millard F.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c398t-63d4c81458f8a4b13d239e42ad6b68b1a7c203738390439773c19a4ce2ac0cd43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2000</creationdate><topic>Biomaterials</topic><topic>Compressibility of solids</topic><topic>Constitutive equations</topic><topic>Cross-disciplinary physics: materials science; rheology</topic><topic>Elasticity</topic><topic>Elasticity and anelasticity</topic><topic>Elasticity and anelasticity, stress-strain relations</topic><topic>Elastomers</topic><topic>Exact sciences and technology</topic><topic>Finite elasticity</topic><topic>Graph theory</topic><topic>Materials science</topic><topic>Mathematical models</topic><topic>Microstructure</topic><topic>Mullins effect</topic><topic>Physics</topic><topic>Poisson ratio</topic><topic>Polyurethanes</topic><topic>Stress analysis</topic><topic>Stress-softening</topic><topic>Synthetic rubber</topic><topic>Treatment of materials and its effects on microstructure and properties</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Krishnaswamy, Shankar</creatorcontrib><creatorcontrib>Beatty, Millard F.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><jtitle>International journal of engineering science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Krishnaswamy, Shankar</au><au>Beatty, Millard F.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Mullins effect in compressible solids</atitle><jtitle>International journal of engineering science</jtitle><date>2000-09-01</date><risdate>2000</risdate><volume>38</volume><issue>13</issue><spage>1397</spage><epage>1414</epage><pages>1397-1414</pages><issn>0020-7225</issn><eissn>1879-2197</eissn><coden>IJESAN</coden><abstract>A general constitutive theory of stress-softening in isotropic, compressible materials based on a two phase microstructural damage model is presented. Stress-softening induced by an uniaxial stretch of the material is analyzed, and some general analytical results consonant with experimental observations are obtained. It is shown for compressible stress-softening materials that the Poisson function for the elastic stress-softened material generally will differ from that for the virgin material. Some general characteristics of the physical response of equi-Poisson materials are described, and an example of a general class of these materials is presented. It is shown that the physical response of isotropic, compressible stress-softening materials parallels that described in earlier papers on its incompressible counterpart. For illustration, a special subclass of stress-softening hyperelastic parent materials and an exponential softening function are introduced. The general results are then described graphically for uniaxial tension and compression of a special class of Blatz–Ko parent material models developed from experiments on polyurethane foamed rubbers.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/S0020-7225(99)00125-1</doi><tpages>18</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0020-7225 |
| ispartof | International journal of engineering science, 2000-09, Vol.38 (13), p.1397-1414 |
| issn | 0020-7225 1879-2197 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_27730594 |
| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Biomaterials Compressibility of solids Constitutive equations Cross-disciplinary physics: materials science rheology Elasticity Elasticity and anelasticity Elasticity and anelasticity, stress-strain relations Elastomers Exact sciences and technology Finite elasticity Graph theory Materials science Mathematical models Microstructure Mullins effect Physics Poisson ratio Polyurethanes Stress analysis Stress-softening Synthetic rubber Treatment of materials and its effects on microstructure and properties |
| title | The Mullins effect in compressible solids |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-12T14%3A42%3A06IST&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=The%20Mullins%20effect%20in%20compressible%20solids&rft.jtitle=International%20journal%20of%20engineering%20science&rft.au=Krishnaswamy,%20Shankar&rft.date=2000-09-01&rft.volume=38&rft.issue=13&rft.spage=1397&rft.epage=1414&rft.pages=1397-1414&rft.issn=0020-7225&rft.eissn=1879-2197&rft.coden=IJESAN&rft_id=info:doi/10.1016/S0020-7225(99)00125-1&rft_dat=%3Cproquest_cross%3E485673%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=21445120&rft_id=info:pmid/&rft_els_id=S0020722599001251&rfr_iscdi=true |