Elastic constants for granular materials modeled as first-order strain-gradient continua
Formulation of a stress–strain relationship is presented for a granular medium, which is modeled as a first-order strain-gradient continuum. The elastic constants used in the stress–strain relationship are derived as an explicit function of inter-particle stiffness, particle size, and packing densit...
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| Veröffentlicht in: | International journal of solids and structures 2003-10, Vol.40 (21), p.5565-5582 |
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| container_issue | 21 |
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| container_title | International journal of solids and structures |
| container_volume | 40 |
| creator | Chang, C.S. Shi, Q. Liao, C.L. |
| description | Formulation of a stress–strain relationship is presented for a granular medium, which is modeled as a first-order strain-gradient continuum. The elastic constants used in the stress–strain relationship are derived as an explicit function of inter-particle stiffness, particle size, and packing density. It can be demonstrated that couple-stress continuum is a subclass of strain-gradient continua. The derived stress–strain relationship is simplified to obtain the expressions of elastic constants for a couple-stress continuum. The derived stress–strain relationship is compared with that of existing theories on strain- gradient models. The effects of inter-particle stiffness and particle size on material constants are discussed. |
| doi_str_mv | 10.1016/S0020-7683(03)00328-7 |
| format | Article |
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The effects of inter-particle stiffness and particle size on material constants are discussed.</description><subject>Couple stress model</subject><subject>Cross-disciplinary physics: materials science; rheology</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Grain rotation</subject><subject>Granular material</subject><subject>Granular solids</subject><subject>Internal length</subject><subject>Material form</subject><subject>Physics</subject><subject>Rheology</subject><subject>Solid mechanics</subject><subject>Static elasticity</subject><subject>Static elasticity (thermoelasticity...)</subject><subject>Strain-gradient model</subject><subject>Stress–strain relationship</subject><subject>Structural and continuum mechanics</subject><issn>0020-7683</issn><issn>1879-2146</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><recordid>eNqFkE1LAzEQhoMoWKs_QdiLoofVyaabZE8ipX5AwYMK3sI0mZXIdleTVPDfm9qiR2FgLs_7DvMwdszhggOXl48AFZRKanEG4hxAVLpUO2zEtWrKik_kLhv9IvvsIMY3AJiIBkbsZdZhTN4Wduhjwj7Foh1C8RqwX3UYiiUmCh67WCwHRx25AjPhQ0zlEByFIqaAvi9zwHnq07on-X6Fh2yvzTE62u4xe76ZPU3vyvnD7f30el5aIXUqZVsR2Zo3EgGQtKu1JTlBueCLutHgHCgBHEk4blulJlBbEhqbSmuxaCoxZqeb3vcwfKwoJrP00VLXYU_DKppKaSG55hmsN6ANQ4yBWvMe_BLDl-Fg1h7Nj0ezlmQgz9qjUTl3sj2A0WLXZjPWx79wzUFpLTN3teEof_vpKZhosxFLzgeyybjB_3PpG0-5iD8</recordid><startdate>20031001</startdate><enddate>20031001</enddate><creator>Chang, C.S.</creator><creator>Shi, Q.</creator><creator>Liao, C.L.</creator><general>Elsevier Ltd</general><general>Elsevier Science</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SM</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>20031001</creationdate><title>Elastic constants for granular materials modeled as first-order strain-gradient continua</title><author>Chang, C.S. ; Shi, Q. ; Liao, C.L.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c368t-6f2eec5196a00ae8d58ce64a6b1b5980dd07301ae3d1cf77405ce38a92883b923</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Couple stress model</topic><topic>Cross-disciplinary physics: materials science; rheology</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Grain rotation</topic><topic>Granular material</topic><topic>Granular solids</topic><topic>Internal length</topic><topic>Material form</topic><topic>Physics</topic><topic>Rheology</topic><topic>Solid mechanics</topic><topic>Static elasticity</topic><topic>Static elasticity (thermoelasticity...)</topic><topic>Strain-gradient model</topic><topic>Stress–strain relationship</topic><topic>Structural and continuum mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chang, C.S.</creatorcontrib><creatorcontrib>Shi, Q.</creatorcontrib><creatorcontrib>Liao, C.L.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Earthquake Engineering Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>International journal of solids and structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chang, C.S.</au><au>Shi, Q.</au><au>Liao, C.L.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Elastic constants for granular materials modeled as first-order strain-gradient continua</atitle><jtitle>International journal of solids and structures</jtitle><date>2003-10-01</date><risdate>2003</risdate><volume>40</volume><issue>21</issue><spage>5565</spage><epage>5582</epage><pages>5565-5582</pages><issn>0020-7683</issn><eissn>1879-2146</eissn><coden>IJSOAD</coden><abstract>Formulation of a stress–strain relationship is presented for a granular medium, which is modeled as a first-order strain-gradient continuum. 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| identifier | ISSN: 0020-7683 |
| ispartof | International journal of solids and structures, 2003-10, Vol.40 (21), p.5565-5582 |
| issn | 0020-7683 1879-2146 |
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| source | Elsevier ScienceDirect Journals |
| subjects | Couple stress model Cross-disciplinary physics: materials science rheology Exact sciences and technology Fundamental areas of phenomenology (including applications) Grain rotation Granular material Granular solids Internal length Material form Physics Rheology Solid mechanics Static elasticity Static elasticity (thermoelasticity...) Strain-gradient model Stress–strain relationship Structural and continuum mechanics |
| title | Elastic constants for granular materials modeled as first-order strain-gradient continua |
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