A large deformation breakage model of granular materials including porosity and inelastic distortional deformation rate
A general constitutive model of crushable granular materials is developed within the context of large deformations. The time evolution equations for breakage, inelastic porous compaction and dilation, and distortional deformations are coupled by a yield surface and restrictions are imposed to ensure...
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| Veröffentlicht in: | International journal of engineering science 2011-10, Vol.49 (10), p.1151-1169 |
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| container_title | International journal of engineering science |
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| creator | Rubin, M.B. Einav, I. |
| description | A general constitutive model of crushable granular materials is developed within the context of large deformations. The time evolution equations for breakage, inelastic porous compaction and dilation, and distortional deformations are coupled by a yield surface and restrictions are imposed to ensure that these inelastic processes are dissipative. Some of the most salient mechanisms of such materials are described, including: (1) stiffness dependent on the breakage (a variable index of grading), porosity, and pressure; (2) critical comminution pressure and isotropic hardening, also dependent on the breakage and porosity; (3) jamming transition between solid and gaseous states; (4) a dilation law that embodies competition between porous compaction (due to the rate of breakage) and bulking (porous dilation at positive pressure due to the rate of inelastic distortional deformation); and finally, (5) the non-unique critical state relation between stress and porosity, in terms of the loading history and grading changes. |
| doi_str_mv | 10.1016/j.ijengsci.2011.05.002 |
| format | Article |
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The time evolution equations for breakage, inelastic porous compaction and dilation, and distortional deformations are coupled by a yield surface and restrictions are imposed to ensure that these inelastic processes are dissipative. Some of the most salient mechanisms of such materials are described, including: (1) stiffness dependent on the breakage (a variable index of grading), porosity, and pressure; (2) critical comminution pressure and isotropic hardening, also dependent on the breakage and porosity; (3) jamming transition between solid and gaseous states; (4) a dilation law that embodies competition between porous compaction (due to the rate of breakage) and bulking (porous dilation at positive pressure due to the rate of inelastic distortional deformation); and finally, (5) the non-unique critical state relation between stress and porosity, in terms of the loading history and grading changes.</description><subject>Breakage</subject><subject>Constitutive equations</subject><subject>Cross-disciplinary physics: materials science; rheology</subject><subject>Deformation</subject><subject>Dilation</subject><subject>Distortion</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Grading</subject><subject>Granular materials</subject><subject>Granular solids</subject><subject>Inelasticity (thermoplasticity, viscoplasticity...)</subject><subject>Large deformations</subject><subject>Material form</subject><subject>Mathematical models</subject><subject>Physics</subject><subject>Porosity</subject><subject>Porous materials</subject><subject>Rheology</subject><subject>Solid mechanics</subject><subject>Structural and continuum mechanics</subject><issn>0020-7225</issn><issn>1879-2197</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqFkMGKFDEQhoMoOK6-guQinrq3knR3OjeXxVVhwYueQ01SGTJmOmPSo-zbm2FWwdOeCn6--or6GXsroBcgput9H_e07KqLvQQhehh7APmMbcSsTSeF0c_ZpiXQaSnHl-xVrXsAGJUxG_b7hicsO-KeQi4HXGNe-LYQ_sAWHrKnxHPgu4LLqYG8EVQipsrj4tLJx2XHj7nkGtcHjotvMSWsa3Tcx7rmchZi-k9fmuM1exGahd48ziv2_e7jt9vP3f3XT19ub-47p_SwdnISqObBAcowqKC2oOTkR230TNtZBY3CK--VmkaBMILWioKh2Qg9jKb9eMXeX7zHkn-eqK72EKujlHChfKrWCGNAK5gaOV1I176phYI9lnjA8mAF2HPRdm__Fm3PRVsYbau1Lb57PIHVYQqtKhfrv205DM0_q8Z9uHDU_v0VqdhmosWRj4Xcan2OT536AyXemRI</recordid><startdate>20111001</startdate><enddate>20111001</enddate><creator>Rubin, M.B.</creator><creator>Einav, I.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>20111001</creationdate><title>A large deformation breakage model of granular materials including porosity and inelastic distortional deformation rate</title><author>Rubin, M.B. ; Einav, I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c374t-261a384c0a2f43f3b0326d57978eb83f7a1d3dd33651a050773ef9e8917459053</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Breakage</topic><topic>Constitutive equations</topic><topic>Cross-disciplinary physics: materials science; rheology</topic><topic>Deformation</topic><topic>Dilation</topic><topic>Distortion</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Grading</topic><topic>Granular materials</topic><topic>Granular solids</topic><topic>Inelasticity (thermoplasticity, viscoplasticity...)</topic><topic>Large deformations</topic><topic>Material form</topic><topic>Mathematical models</topic><topic>Physics</topic><topic>Porosity</topic><topic>Porous materials</topic><topic>Rheology</topic><topic>Solid mechanics</topic><topic>Structural and continuum mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Rubin, M.B.</creatorcontrib><creatorcontrib>Einav, I.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</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 engineering science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Rubin, M.B.</au><au>Einav, I.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A large deformation breakage model of granular materials including porosity and inelastic distortional deformation rate</atitle><jtitle>International journal of engineering science</jtitle><date>2011-10-01</date><risdate>2011</risdate><volume>49</volume><issue>10</issue><spage>1151</spage><epage>1169</epage><pages>1151-1169</pages><issn>0020-7225</issn><eissn>1879-2197</eissn><coden>IJESAN</coden><abstract>A general constitutive model of crushable granular materials is developed within the context of large deformations. The time evolution equations for breakage, inelastic porous compaction and dilation, and distortional deformations are coupled by a yield surface and restrictions are imposed to ensure that these inelastic processes are dissipative. Some of the most salient mechanisms of such materials are described, including: (1) stiffness dependent on the breakage (a variable index of grading), porosity, and pressure; (2) critical comminution pressure and isotropic hardening, also dependent on the breakage and porosity; (3) jamming transition between solid and gaseous states; (4) a dilation law that embodies competition between porous compaction (due to the rate of breakage) and bulking (porous dilation at positive pressure due to the rate of inelastic distortional deformation); and finally, (5) the non-unique critical state relation between stress and porosity, in terms of the loading history and grading changes.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijengsci.2011.05.002</doi><tpages>19</tpages></addata></record> |
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| subjects | Breakage Constitutive equations Cross-disciplinary physics: materials science rheology Deformation Dilation Distortion Exact sciences and technology Fundamental areas of phenomenology (including applications) Grading Granular materials Granular solids Inelasticity (thermoplasticity, viscoplasticity...) Large deformations Material form Mathematical models Physics Porosity Porous materials Rheology Solid mechanics Structural and continuum mechanics |
| title | A large deformation breakage model of granular materials including porosity and inelastic distortional deformation rate |
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