Kinetic relations and local energy balance for LEFM from a nonlocal peridynamic model

A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The kinetic relation for the crack tip velocity given by Linear Elastic Fracture Mechanics (LEFM) is recovered directly from the nonlocal dynamics, this is seen both theoretically and in simulations. An explicit...

Full description

Saved in:
Bibliographic Details
Published in:International journal of fracture 2020-11, Vol.226 (1), p.81-95
Main Authors: Jha, Prashant K., Lipton, Robert P.
Format: Article
Language:English
Subjects:
Automotive Engineering
Characterization and Evaluation of Materials
Chemistry and Materials Science
Civil Engineering
Classical Mechanics
Crack tips
Field theory
Fracture mechanics
Internal energy
Linear elastic fracture mechanics
Materials Science
Mechanical Engineering
Original Paper
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c319t-1fc6c235d7ddda20aa6a18e51fbd21f41451ed0e66696e6a465ce01bc07e12353
cites cdi_FETCH-LOGICAL-c319t-1fc6c235d7ddda20aa6a18e51fbd21f41451ed0e66696e6a465ce01bc07e12353
container_end_page 95
container_issue 1
container_start_page 81
container_title International journal of fracture
container_volume 226
creator Jha, Prashant K.
Lipton, Robert P.
description A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The kinetic relation for the crack tip velocity given by Linear Elastic Fracture Mechanics (LEFM) is recovered directly from the nonlocal dynamics, this is seen both theoretically and in simulations. An explicit formula for the change of internal energy inside a neighborhood enclosing the crack tip is found for the nonlocal model and applied to LEFM.
doi_str_mv 10.1007/s10704-020-00480-0
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2471924141</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2471924141</sourcerecordid><originalsourceid>FETCH-LOGICAL-c319t-1fc6c235d7ddda20aa6a18e51fbd21f41451ed0e66696e6a465ce01bc07e12353</originalsourceid><addsrcrecordid>eNp9kDFPwzAQRi0EEqXwB5gsMQfunMRuRlS1gChiobPl2pcqVWoXOx367zEEiY3Ft7z3WXqM3SLcI4B6SAgKqgIEFADVLL9nbIK1KgshVXnOJlAqWTSVaC7ZVUo7AGjUrJqw9Wvnaegsj9SboQs-ceMd74M1PSdPcXviG9Mbb4m3IfLVYvnG2xj23HAf_MgdKHbu5M0-7-yDo_6aXbSmT3Tze6dsvVx8zJ-L1fvTy_xxVdgSm6HA1korytop55wRYIw0OKMa240T2FZY1UgOSErZSJKmkrUlwI0FRZi9csruxt1DDJ9HSoPehWP0-UstKoWNyBOYKTFSNoaUIrX6ELu9iSeNoL_z6TGfzvn0Tz4NWSpHKWXYbyn-Tf9jfQEklHIs</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2471924141</pqid></control><display><type>article</type><title>Kinetic relations and local energy balance for LEFM from a nonlocal peridynamic model</title><source>Springer Link</source><creator>Jha, Prashant K. ; Lipton, Robert P.</creator><creatorcontrib>Jha, Prashant K. ; Lipton, Robert P.</creatorcontrib><description>A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The kinetic relation for the crack tip velocity given by Linear Elastic Fracture Mechanics (LEFM) is recovered directly from the nonlocal dynamics, this is seen both theoretically and in simulations. An explicit formula for the change of internal energy inside a neighborhood enclosing the crack tip is found for the nonlocal model and applied to LEFM.</description><identifier>ISSN: 0376-9429</identifier><identifier>EISSN: 1573-2673</identifier><identifier>DOI: 10.1007/s10704-020-00480-0</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Automotive Engineering ; Characterization and Evaluation of Materials ; Chemistry and Materials Science ; Civil Engineering ; Classical Mechanics ; Crack tips ; Field theory ; Fracture mechanics ; Internal energy ; Linear elastic fracture mechanics ; Materials Science ; Mechanical Engineering ; Original Paper</subject><ispartof>International journal of fracture, 2020-11, Vol.226 (1), p.81-95</ispartof><rights>Springer Nature B.V. 2020</rights><rights>Springer Nature B.V. 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-1fc6c235d7ddda20aa6a18e51fbd21f41451ed0e66696e6a465ce01bc07e12353</citedby><cites>FETCH-LOGICAL-c319t-1fc6c235d7ddda20aa6a18e51fbd21f41451ed0e66696e6a465ce01bc07e12353</cites><orcidid>0000-0003-2158-364X ; 0000-0002-1382-3204</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Jha, Prashant K.</creatorcontrib><creatorcontrib>Lipton, Robert P.</creatorcontrib><title>Kinetic relations and local energy balance for LEFM from a nonlocal peridynamic model</title><title>International journal of fracture</title><addtitle>Int J Fract</addtitle><description>A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The kinetic relation for the crack tip velocity given by Linear Elastic Fracture Mechanics (LEFM) is recovered directly from the nonlocal dynamics, this is seen both theoretically and in simulations. An explicit formula for the change of internal energy inside a neighborhood enclosing the crack tip is found for the nonlocal model and applied to LEFM.</description><subject>Automotive Engineering</subject><subject>Characterization and Evaluation of Materials</subject><subject>Chemistry and Materials Science</subject><subject>Civil Engineering</subject><subject>Classical Mechanics</subject><subject>Crack tips</subject><subject>Field theory</subject><subject>Fracture mechanics</subject><subject>Internal energy</subject><subject>Linear elastic fracture mechanics</subject><subject>Materials Science</subject><subject>Mechanical Engineering</subject><subject>Original Paper</subject><issn>0376-9429</issn><issn>1573-2673</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kDFPwzAQRi0EEqXwB5gsMQfunMRuRlS1gChiobPl2pcqVWoXOx367zEEiY3Ft7z3WXqM3SLcI4B6SAgKqgIEFADVLL9nbIK1KgshVXnOJlAqWTSVaC7ZVUo7AGjUrJqw9Wvnaegsj9SboQs-ceMd74M1PSdPcXviG9Mbb4m3IfLVYvnG2xj23HAf_MgdKHbu5M0-7-yDo_6aXbSmT3Tze6dsvVx8zJ-L1fvTy_xxVdgSm6HA1korytop55wRYIw0OKMa240T2FZY1UgOSErZSJKmkrUlwI0FRZi9csruxt1DDJ9HSoPehWP0-UstKoWNyBOYKTFSNoaUIrX6ELu9iSeNoL_z6TGfzvn0Tz4NWSpHKWXYbyn-Tf9jfQEklHIs</recordid><startdate>20201101</startdate><enddate>20201101</enddate><creator>Jha, Prashant K.</creator><creator>Lipton, Robert P.</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>KB.</scope><scope>L6V</scope><scope>M7S</scope><scope>PDBOC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0003-2158-364X</orcidid><orcidid>https://orcid.org/0000-0002-1382-3204</orcidid></search><sort><creationdate>20201101</creationdate><title>Kinetic relations and local energy balance for LEFM from a nonlocal peridynamic model</title><author>Jha, Prashant K. ; Lipton, Robert P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-1fc6c235d7ddda20aa6a18e51fbd21f41451ed0e66696e6a465ce01bc07e12353</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Automotive Engineering</topic><topic>Characterization and Evaluation of Materials</topic><topic>Chemistry and Materials Science</topic><topic>Civil Engineering</topic><topic>Classical Mechanics</topic><topic>Crack tips</topic><topic>Field theory</topic><topic>Fracture mechanics</topic><topic>Internal energy</topic><topic>Linear elastic fracture mechanics</topic><topic>Materials Science</topic><topic>Mechanical Engineering</topic><topic>Original Paper</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jha, Prashant K.</creatorcontrib><creatorcontrib>Lipton, Robert P.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>Materials Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Materials science collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>International journal of fracture</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jha, Prashant K.</au><au>Lipton, Robert P.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Kinetic relations and local energy balance for LEFM from a nonlocal peridynamic model</atitle><jtitle>International journal of fracture</jtitle><stitle>Int J Fract</stitle><date>2020-11-01</date><risdate>2020</risdate><volume>226</volume><issue>1</issue><spage>81</spage><epage>95</epage><pages>81-95</pages><issn>0376-9429</issn><eissn>1573-2673</eissn><abstract>A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The kinetic relation for the crack tip velocity given by Linear Elastic Fracture Mechanics (LEFM) is recovered directly from the nonlocal dynamics, this is seen both theoretically and in simulations. An explicit formula for the change of internal energy inside a neighborhood enclosing the crack tip is found for the nonlocal model and applied to LEFM.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s10704-020-00480-0</doi><tpages>15</tpages><orcidid>https://orcid.org/0000-0003-2158-364X</orcidid><orcidid>https://orcid.org/0000-0002-1382-3204</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 0376-9429
ispartof International journal of fracture, 2020-11, Vol.226 (1), p.81-95
issn 0376-9429
1573-2673
language eng
recordid cdi_proquest_journals_2471924141
source Springer Link
subjects Automotive Engineering
Characterization and Evaluation of Materials
Chemistry and Materials Science
Civil Engineering
Classical Mechanics
Crack tips
Field theory
Fracture mechanics
Internal energy
Linear elastic fracture mechanics
Materials Science
Mechanical Engineering
Original Paper
title Kinetic relations and local energy balance for LEFM from a nonlocal peridynamic model
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T07%3A55%3A10IST&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=Kinetic%20relations%20and%20local%20energy%20balance%20for%20LEFM%20from%20a%20nonlocal%20peridynamic%20model&rft.jtitle=International%20journal%20of%20fracture&rft.au=Jha,%20Prashant%20K.&rft.date=2020-11-01&rft.volume=226&rft.issue=1&rft.spage=81&rft.epage=95&rft.pages=81-95&rft.issn=0376-9429&rft.eissn=1573-2673&rft_id=info:doi/10.1007/s10704-020-00480-0&rft_dat=%3Cproquest_cross%3E2471924141%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c319t-1fc6c235d7ddda20aa6a18e51fbd21f41451ed0e66696e6a465ce01bc07e12353%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2471924141&rft_id=info:pmid/&rfr_iscdi=true