A convected-particle tetrahedron interpolation technique in the material-point method for the mesoscale modeling of ceramics
Convected particle domain interpolation, which is known to boost the accuracy of the material-point method, is applied in a form called convected-particle tetrahedron interpolation (CPTI). CPTI exploits the efficiency of tetrahedral tessellations to represent complex structural geometries, while sti...
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| Veröffentlicht in: | Comput. Mech 2019-09, Vol.64 (3), p.563-583 |
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| container_title | Comput. Mech |
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| creator | Leavy, R. B. Guilkey, J. E. Phung, B. R. Spear, A. D. Brannon, R. M. |
| description | Convected particle domain interpolation, which is known to boost the accuracy of the material-point method, is applied in a form called convected-particle tetrahedron interpolation (CPTI). CPTI exploits the efficiency of tetrahedral tessellations to represent complex structural geometries, while still solving field equations on a rectilinear background grid. Advantages include anti-locking and an ability to handle extremely large deformations without suffering typical Eulerian advection errors. CPTI is demonstrated to resolve long-standing errors caused by spuriously ragged (stair-stepped) surfaces, and it is also shown to accommodate mathematically rigorous evaluation of surface integrals in models for contact and friction. Benefits of this work are illustrated in mesoscale simulations of an aluminum oxynitride ceramic. |
| doi_str_mv | 10.1007/s00466-019-01670-x |
| format | Article |
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B. ; Guilkey, J. E. ; Phung, B. R. ; Spear, A. D. ; Brannon, R. M.</creator><creatorcontrib>Leavy, R. B. ; Guilkey, J. E. ; Phung, B. R. ; Spear, A. D. ; Brannon, R. M. ; Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)</creatorcontrib><description>Convected particle domain interpolation, which is known to boost the accuracy of the material-point method, is applied in a form called convected-particle tetrahedron interpolation (CPTI). CPTI exploits the efficiency of tetrahedral tessellations to represent complex structural geometries, while still solving field equations on a rectilinear background grid. Advantages include anti-locking and an ability to handle extremely large deformations without suffering typical Eulerian advection errors. CPTI is demonstrated to resolve long-standing errors caused by spuriously ragged (stair-stepped) surfaces, and it is also shown to accommodate mathematically rigorous evaluation of surface integrals in models for contact and friction. Benefits of this work are illustrated in mesoscale simulations of an aluminum oxynitride ceramic.</description><identifier>ISSN: 0178-7675</identifier><identifier>EISSN: 1432-0924</identifier><identifier>DOI: 10.1007/s00466-019-01670-x</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Aluminum ; Analysis ; Ceramic materials ; Ceramics ; Classical and Continuum Physics ; Computational Science and Engineering ; Computer simulation ; Engineering ; Interpolation ; Locking ; Methods ; Original Paper ; Tetrahedra ; Theoretical and Applied Mechanics</subject><ispartof>Comput. 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Advantages include anti-locking and an ability to handle extremely large deformations without suffering typical Eulerian advection errors. CPTI is demonstrated to resolve long-standing errors caused by spuriously ragged (stair-stepped) surfaces, and it is also shown to accommodate mathematically rigorous evaluation of surface integrals in models for contact and friction. Benefits of this work are illustrated in mesoscale simulations of an aluminum oxynitride ceramic.</description><subject>Aluminum</subject><subject>Analysis</subject><subject>Ceramic materials</subject><subject>Ceramics</subject><subject>Classical and Continuum Physics</subject><subject>Computational Science and Engineering</subject><subject>Computer simulation</subject><subject>Engineering</subject><subject>Interpolation</subject><subject>Locking</subject><subject>Methods</subject><subject>Original Paper</subject><subject>Tetrahedra</subject><subject>Theoretical and Applied Mechanics</subject><issn>0178-7675</issn><issn>1432-0924</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp9kU1r3DAQhk1podu0f6An0556cDKSLck-LqEfgUCgH2ehHY93FWxpK2nLFvrjO6kLJZcihJjR8w7zzlTVawGXAsBcZYBO6wbEwFcbaM5Pqo3oWtnAILun1QaE6RujjXpevcj5HkCovlWb6te2xhh-EBYam6NLxeNMdaGS3IHGFEPtQ6F0jLMrnqNCeAj--4k4X5cD1Yvjb-_m5hiZrBcqhzjWU0zrL-WY0XHJJY40-7Cv41QjJbd4zC-rZ5ObM736-15U3z68_3r9qbm9-3hzvb1tsBNDaXpJzgC0BBJQdaNSiGIQOHVEUo1SC4Vao0RjWkU7vdM4OA5bgzszgmwvqjdr3ZiLtxn9gwu2Hdi2FUoDz5Chtyt0TJH95WLv4ykF7stKqfuh7aBVTF2u1J5NWR-myJNCPiOxoxho8pzfqkH1QksjWPDukYCZQueyd6ec7c2Xz49ZubKYYs6JJntMfnHppxVgH_Zs1z1b3rP9s2d7ZlG7ijLDYU_pX9__Uf0Gq3ysUA</recordid><startdate>20190901</startdate><enddate>20190901</enddate><creator>Leavy, R. 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M.</creatorcontrib><creatorcontrib>Argonne National Lab. (ANL), Argonne, IL (United States). 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Mech</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Leavy, R. B.</au><au>Guilkey, J. E.</au><au>Phung, B. R.</au><au>Spear, A. D.</au><au>Brannon, R. M.</au><aucorp>Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A convected-particle tetrahedron interpolation technique in the material-point method for the mesoscale modeling of ceramics</atitle><jtitle>Comput. Mech</jtitle><stitle>Comput Mech</stitle><date>2019-09-01</date><risdate>2019</risdate><volume>64</volume><issue>3</issue><spage>563</spage><epage>583</epage><pages>563-583</pages><issn>0178-7675</issn><eissn>1432-0924</eissn><abstract>Convected particle domain interpolation, which is known to boost the accuracy of the material-point method, is applied in a form called convected-particle tetrahedron interpolation (CPTI). 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| subjects | Aluminum Analysis Ceramic materials Ceramics Classical and Continuum Physics Computational Science and Engineering Computer simulation Engineering Interpolation Locking Methods Original Paper Tetrahedra Theoretical and Applied Mechanics |
| title | A convected-particle tetrahedron interpolation technique in the material-point method for the mesoscale modeling of ceramics |
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