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Phase Field Modeling Of Crack Propagation Mechanism

Brenn,...G.A....Steinbach.....The...uniform...motion...of...a...crack...is...relatively...well...understood...in...the...framework...of...continuum...theories....(....2011....Wiley-VCH....Verlag....GmbH....&....Co.....Some...suggestions:...Go...back...to...the...last...page...Go...to...the...home...page........

In..this..respect,..fracture..is..yet..another..extension..of..a..concept..that..was..originally..introduced..to..describe..and..simulate..the..kinetics..of..phase..transitions..-..as..the..historical..name..phase..field..suggests...If...the...problem...continues,...please...let...us...know....Our....modeling....is....mainly....based....on....the....phase....field....method,....which....is....able....to....capture....both....the....short-scale....physics....of....failure....and....macroscopic....linear....elasticity....within....a....self-consistent....set....of....equations....that....can....be....simulated....on....experimentally....relevant....length....and....time....scales.....The...characteristic...property...of...phase...field...methods...is...the...existence...of...one...or...more..."phases",...for...example...solid...or...liquid...phases,...which...can...be...transformed...into...each...other....the..motion..of..the..crack..surface,..is..then..determined..through..linear..non-equilibrium..transport..equations...Fracture..is..a..fundamental..mechanism..of..materials..failure...KGaA,....Weinheim....Request....Permissions....Publication....HistoryIssue....online:....9....December....2011Version....of....record....online:....9....December....2011Related....content....Articles....related....to....the....one....you....are....viewingPlease....enable....Javascript....to....view....the....related....content....of....this....article.Citing....Literature....Number....of....times....cited:....31Yue....Hou,....Linbing....Wang,....Pengtao....Yue,....Wenjuan....Sun,....Fracture....failure....in....crack....interaction....of....asphalt....binder....by....using....a....phase....field....approach,....Materials....and....Structures,....2015,....48,....9,....2997CrossRef2Yue....Hou,....Pengtao....Yue,....Qiang....Xin,....Troy....Pauli,....Wenjuan....Sun,....Linbing....Wang,....Fracture....failure....of....asphalt....binder....in....mixed....mode....(Modes....I....and....II)....by....using....phase-field....model,....Road....Materials....and....Pavement....Design,....2014,....15,....1,....167CrossRef3Yue....Hou,....Linbing....Wang,....Pengtao....Yue,....Troy....Pauli,....Wenjuan....Sun,....Modeling....Mode....I....Cracking....Failure....in....Asphalt....Binder....by....Using....Nonconserved....Phase-Field....Model,....Journal....of....Materials....in....Civil....Engineering,....2014,....26,....4,....684CrossRef.....

Page..unavailable..The..information..you're..looking..for..cannot..be..found,..it..may..be..temporarily..unavailable..or..permanently..removed...This....drawback....is....overcome....by....diffusive....crack....modeling....based....on....the....introduction....of....a....fracture....phase....field....characterizing....via....an....auxiliary....variable....the....crack....topology.....As...usual...in...the...phase...field...context,...the...order...parameter...changes...smoothly...between...the...states...at...the...crack...surfaces....In....this....spirit,....a....full....description....of....a....propagating....crack....provides....the....determination....of....the....entire....time....dependent....shape....of....the....crack....surface,....which....is....assumed....to....be....extended....over....a....finite....and....self-consistently....selected....length....scale.....Recent...Results....Section..6Phase..Field..Modeling..of..Crack..Propagation..at..Large..Strains..with..Application..to..Rubbery..PolymersAuthorsLisa..Schnzel,Corresponding..authorE-mail..address:..lisa.schaenzelmechbau.uni-stuttgart.deInstitute..of..Applied..Mechanics..(CE),..Chair..I,..University..of..Stuttgart,..Pfaffenwaldring..7,..70550..Stuttgart,..Germanyphone..+49..711..685..66286,..fax..+49..711..685..66347Search..for..more..papers..by..this..authorMartina..Hofacker,Institute..of..Applied..Mechanics..(CE),..Chair..I,..University..of..Stuttgart,..Pfaffenwaldring..7,..70550..Stuttgart,..GermanySearch..for..more..papers..by..this..authorChristian..MieheInstitute..of..Applied..Mechanics..(CE),..Chair..I,..University..of..Stuttgart,..Pfaffenwaldring..7,..70550..Stuttgart,..GermanySearch..for..more..papers..by..this..authorFirst..published:..9..December..2011Full..publication..historyDOI:..10.1002/pamm.201110206View/save..citationCited..by:..3..articles..Citation..tools..Set..citation..alert..Check..for..new..citations..Citing..literature..AbstractThe..computational..modeling..of..failure..mechanisms..in..solids..due..to..fracture..based..on..sharp..crack..discontinuities..exhibits..drawbacks..in..situations..with..complex..crack..topologies...While...a...scalar...phase...field...was...originally...introduced...to...distinguish...between...different...phases,...other...fields...have...been...introduced...to...characterize...other...properties...such...as...the...local...crystal...orientation....Here,....the....conventional....approach....is....to....treat....the....crack....as....a....front....or....interface....separating....broken....and....unbroken....regions....of....the....material;....propagation....is....governed....by....the....balance....of....the....elastic....forces....in....the....materials....and....cohesive....stresses....near....the....crack....tip.....Thereby,..the..phenomenon..of..fracture..is..understood..as..an..elastically..induced..non-equilibrium..interfacial..pattern..formation..process...Here,....we....have....considered....two....different....mechanisms,....a....first....order....phase....transformation....and....surface....diffusion.....

Volume..11,..Issue..1..December..2011..Pages..429–430..Previous..article..in..issue:..Thermo-mechanical..description..of..material..diffusion..during..an..ultrasonic..wire..bonding..process..Previous..article..in..issue:..Thermo-mechanical..description..of..material..diffusion..during..an..ultrasonic..wire..bonding..process..Next..article..in..issue:..On..the..Analysis..of..Soils..using..an..Abaqus-PANDAS..Interface..Next..article..in..issue:..On..the..Analysis..of..Soils..using..an..Abaqus-PANDAS..Interface..View..issue..TOC..Special..Issue:..82nd..Annual..Meeting..of..the..International..Association..of..Applied..Mathematics..and..Mechanics..(GAMM),..Graz..2011;..Editors:..G...As....soon....as....the....flux....of....energy....to....the....crack....tip....exceeds....a....critical....value,....the....crack....becomes....unstable....and....starts....to....branch....while....emitting....sound....waves.....Continuum....modeling....of....fracture.....Over...10...million...scientific...documents...at...your...fingertips...Home...Impressum...Legal...Information...Contact...Us...Springer...Nature......2016...Springer...International...Publishing...AG....Although..limited..to..submicron..samples..and..very..short..timescales,..these..simulations..were..able..to..reproduce..key..features..of..crack..propagation..like..the..initial..acceleration..and..the..onset..of..instabilities...Introduction...We....have....developed....a....continuum....model....of....crack....propagation....in....brittle....viscoelastic....materials.....Crack....propagation....via....mass....transport....at....the....crack....tip..... 2395972840
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