{"id":"https://openalex.org/W2114201434","doi":"https://doi.org/10.1002/nag.965","title":"Solution of quasi\u2010static large\u2010strain problems by the material point method","display_name":"Solution of quasi\u2010static large\u2010strain problems by the material point method","publication_year":2010,"publication_date":"2010-09-30","ids":{"openalex":"https://openalex.org/W2114201434","doi":"https://doi.org/10.1002/nag.965","mag":"2114201434"},"language":"en","primary_location":{"id":"doi:10.1002/nag.965","doi":"https://doi.org/10.1002/nag.965","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nag.965","pdf_url":null,"source":{"id":"https://openalex.org/S10012645","display_name":"International Journal for Numerical and Analytical Methods in Geomechanics","issn_l":"0363-9061","issn":["0363-9061","1096-9853"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical and Analytical Methods in Geomechanics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045381388","display_name":"Lars Beuth","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]},{"id":"https://openalex.org/I4210103266","display_name":"Deltares","ror":"https://ror.org/01deh9c76","country_code":"NL","type":"facility","lineage":["https://openalex.org/I4210103266"]}],"countries":["DE","NL"],"is_corresponding":true,"raw_author_name":"L. Beuth","raw_affiliation_strings":["Deltares, Stieltjesweg 2, 2600 MH Delft, The Netherlands","Institute of Geotechnical Engineering, University of Stuttgart, Pfaffenwaldring 35, 70569 Stuttgart, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Deltares, Stieltjesweg 2, 2600 MH Delft, The Netherlands","institution_ids":["https://openalex.org/I4210103266"]},{"raw_affiliation_string":"Institute of Geotechnical Engineering, University of Stuttgart, Pfaffenwaldring 35, 70569 Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006894837","display_name":"Zdzis\u0142aw Wi\u0119ckowski","orcid":"https://orcid.org/0000-0002-8207-9116","observed_orcids":["https://orcid.org/0000-0002-8207-9116"]},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Z. Wi\u0119ckowski","raw_affiliation_strings":["Associate Professor","Department of Mechanics of Materials, Technical University of o\u0301dz\u0301, Al. Politechniki 6, 90-924 o\u0301dz\u0301, Poland","Department of Mechanics of Materials, Technical University of \u00f3d\u017a, Al. Politechniki 6, 90-924 \u00f3d\u017a, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Associate Professor","institution_ids":[]},{"raw_affiliation_string":"Department of Mechanics of Materials, Technical University of o\u0301dz\u0301, Al. Politechniki 6, 90-924 o\u0301dz\u0301, Poland","institution_ids":["https://openalex.org/I188884621"]},{"raw_affiliation_string":"Department of Mechanics of Materials, Technical University of \u00f3d\u017a, Al. Politechniki 6, 90-924 \u00f3d\u017a, Poland","institution_ids":["https://openalex.org/I188884621"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111467403","display_name":"P. A. Vermeer","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]},{"id":"https://openalex.org/I4210103266","display_name":"Deltares","ror":"https://ror.org/01deh9c76","country_code":"NL","type":"facility","lineage":["https://openalex.org/I4210103266"]}],"countries":["DE","NL"],"is_corresponding":false,"raw_author_name":"P. A. Vermeer","raw_affiliation_strings":["Deltares, Stieltjesweg 2, 2600 MH Delft, The Netherlands","Institute of Geotechnical Engineering, University of Stuttgart, Pfaffenwaldring 35, 70569 Stuttgart, Germany","Professor Emeritus"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Deltares, Stieltjesweg 2, 2600 MH Delft, The Netherlands","institution_ids":["https://openalex.org/I4210103266"]},{"raw_affiliation_string":"Institute of Geotechnical Engineering, University of Stuttgart, Pfaffenwaldring 35, 70569 Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Professor Emeritus","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045381388"],"corresponding_institution_ids":["https://openalex.org/I100066346","https://openalex.org/I4210103266"],"apc_list":{"value":4530,"currency":"USD","value_usd":4530},"apc_paid":null,"fwci":2.8466,"has_fulltext":false,"cited_by_count":108,"citation_normalized_percentile":{"value":0.87715233,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":100},"biblio":{"volume":"35","issue":"13","first_page":"1451","last_page":"1465"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.008299999870359898,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.001500000013038516,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/material-point-method","display_name":"material point method","score":0.9990000128746033},{"id":"https://openalex.org/keywords/mesh-distortion","display_name":"mesh distortion","score":0.824999988079071},{"id":"https://openalex.org/keywords/prismatic-elements","display_name":"prismatic elements","score":0.7329999804496765},{"id":"https://openalex.org/keywords/tetrahedral-elements","display_name":"tetrahedral elements","score":0.9990000128746033},{"id":"https://openalex.org/keywords/quadratic-interpolation","display_name":"quadratic interpolation","score":0.8029999732971191},{"id":"https://openalex.org/keywords/implicit-time-integration","display_name":"implicit time integration","score":0.7730000019073486},{"id":"https://openalex.org/keywords/numerical-integration-schemes","display_name":"numerical integration schemes","score":0.5640000104904175}],"concepts":[{"id":"https://openalex.org/C20138086","wikidata":"https://www.wikidata.org/wiki/Q17103302","display_name":"Material point method","level":3,"score":0.8047884106636047},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6592843532562256},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.651268482208252},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5816799998283386},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.578733503818512},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5668478608131409},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5642513632774353},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.5046404600143433},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49199673533439636},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.47638386487960815},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.4529778063297272},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.43422138690948486},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41146740317344666},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35971593856811523},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26265931129455566},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.23307538032531738},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18008270859718323},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17924568057060242},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.08331170678138733},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/nag.965","doi":"https://doi.org/10.1002/nag.965","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nag.965","pdf_url":null,"source":{"id":"https://openalex.org/S10012645","display_name":"International Journal for Numerical and Analytical Methods in Geomechanics","issn_l":"0363-9061","issn":["0363-9061","1096-9853"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical and Analytical Methods in Geomechanics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W815084730","https://openalex.org/W1541162015","https://openalex.org/W1563152140","https://openalex.org/W1573186872","https://openalex.org/W1585274809","https://openalex.org/W1990795878","https://openalex.org/W2013413827","https://openalex.org/W2015917132","https://openalex.org/W2019180174","https://openalex.org/W2022598531","https://openalex.org/W2036767781","https://openalex.org/W2048053948","https://openalex.org/W2053383232","https://openalex.org/W2056294232","https://openalex.org/W2069775300","https://openalex.org/W2070035498","https://openalex.org/W2077200936","https://openalex.org/W2081853206","https://openalex.org/W2089726988","https://openalex.org/W2101121254","https://openalex.org/W2118267597","https://openalex.org/W2126293339","https://openalex.org/W2166773194","https://openalex.org/W2795056414","https://openalex.org/W3119920307","https://openalex.org/W4232395691","https://openalex.org/W4236515346"],"related_works":["https://openalex.org/W2069775300","https://openalex.org/W2795056414","https://openalex.org/W7096273693","https://openalex.org/W1954481264","https://openalex.org/W7171551331","https://openalex.org/W608811821","https://openalex.org/W2977001942","https://openalex.org/W2945065931","https://openalex.org/W1563152140","https://openalex.org/W19677130"],"abstract_inverted_index":{"SUMMARY":[0],"A":[1],"procedure":[2,71],"for":[3,66],"solving":[4],"quasi\u2010static":[5],"large\u2010strain":[6],"problems":[7,23,43],"by":[8],"the":[9,17,21,32,36,68,73],"material":[10],"point":[11],"method":[12,39],"is":[13,76],"presented.":[14],"Owing":[15],"to":[16],"Lagrangian\u2013Eulerian":[18],"features":[19],"of":[20,35],"method,":[22],"associated":[24],"with":[25,53],"excessive":[26],"mesh":[27,75],"distortions":[28],"that":[29],"develop":[30],"in":[31],"Lagrangian":[33],"formulations":[34],"finite":[37],"element":[38],"are":[40,44,81],"avoided.":[41],"Three\u2010dimensional":[42],"solved":[45],"utilizing":[46],"15\u2010noded":[47],"prismatic":[48],"and":[49],"10\u2010noded":[50],"tetrahedral":[51],"elements":[52],"quadratic":[54],"interpolation":[55],"functions":[56],"as":[57,59],"well":[58],"an":[60],"implicit":[61],"integration":[62,70],"scheme.":[63],"An":[64],"algorithm":[65],"exploiting":[67],"numerical":[69,79],"on":[72],"computational":[74],"proposed.":[77],"Several":[78],"examples":[80],"shown.":[82],"Copyright":[83],"\u00a9":[84],"2010":[85],"John":[86],"Wiley":[87],"&":[88],"Sons,":[89],"Ltd.":[90]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":15},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}