MPM Numerical Simulations with Different ... - Science Direct

Download PDF
6 downloads 0 Views 449KB Size Report
Comment
Granular flow impact forces on protection structures: MPM numerical simulations with different constitutive models. Francesca Ceccatoa,*, Paolo Simoninia.
Available online at www.sciencedirect.com

ScienceDirect Procedia Engineering 158 (2016) 164 – 169

9,,7$/,$1&21)(5(1&(2)5(6($5&+(56,1*(27(&+1,&$/(1*,1((5,1*± *HRWHFKQLFDO(QJLQHHULQJLQ0XOWLGLVFLSOLQDU\5HVHDUFKIURP0LFURVFDOHWR5HJLRQDO6FDOH &15,*

*UDQXODUIORZLPSDFWIRUFHVRQSURWHFWLRQVWUXFWXUHV030 QXPHULFDOVLPXODWLRQVZLWKGLIIHUHQWFRQVWLWXWLYHPRGHOV )UDQFHVFD&HFFDWRD 3DROR6LPRQLQLD D

',&($YLD2JQLVVDQWL3DGRYD,WDO\

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© 2016 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license ‹7KH$XWKRUV3XEOLVKHGE\(OVHYLHU/WG (http://creativecommons.org/licenses/by-nc-nd/4.0/). 3HHUUHYLHZXQGHUUHVSRQVLELOLW\RIWKHRUJDQL]LQJDQGVFLHQWLILFFRPPLWWHHVRI&15,* Peer-review under the responsibility of the organizing and scientific committees of CNRIG2016 .H\ZRUGV030LPSDFWIRUFHVJUDQXODUIORZVFRQVWLWXWLYHPRGHO

,QWURGXFWLRQ /DQGVOLGHVDUHRQHRIWKHPDMRUQDWXUDOKD]DUGZRUOGZLGHHVSHFLDOO\LQPRXQWDLQRXVDQGFRDVWDOUHJLRQ7RDVVHVV WKHSRWHQWLDOGDPDJHFDXVHGE\DODQGVOLGHWRH[LVWLQJVWUXFWXUHVDQGWRGHVLJQSURWHFWLRQPHDVXUHVWKHNQRZOHGJH 



&RUUHVSRQGLQJDXWKRU7HO (PDLODGGUHVVIUDQFHVFDFHFFDWR#GLFHDXQLSGLW

1877-7058 © 2016 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license

(http://creativecommons.org/licenses/by-nc-nd/4.0/). Peer-review under the responsibility of the organizing and scientific committees of CNRIG2016

doi:10.1016/j.proeng.2016.08.423

165

Francesca Ceccato and Paolo Simonini / Procedia Engineering 158 (2016) 164 – 169

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ƒDQGƒ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࣌ ൌ ሺ‫ ݌‬൅ ‫ܭ‬οߝ௩௢௟ ሻ૚ ൅ ʹߤ௘௙௙ ࡰ



 

ZKHUH’ PHDQHIIHFWLYHVWUHVV. EXONPRGXOXVοɂ୴୭୪ YROXPHWULFVWUDLQLQFUHPHQW GHYLDWRULFVWUDLQUDWHWHQVRU DQGPHII HIIHFWLYHYLVFRVLW\ZKLFKLVGHILQHGDV ఛ

ߤ௘௙௙ ൌ ൝

೤ ߤௗ ൅ ԡࡰԡ

IRUߤ௘௙௙ ߤ௠௔௫

ߤ௠௔௫

IRUߤ௘௙௙ •ߤ௠௔௫





 

ZKHUHW\LVWKH\LHOGVWUHVVZKLFKLVDIXQFWLRQRIWKHIULFWLRQDQJOHDQGWKHVWUHVVVWDWHDFFRUGLQJWRWKH'UXFNHU 3UDJHUFRQGLWLRQԡࡰԡLVWKHQRUPRIWKHGHYLDWRULFVWUDLQUDWHWHQVRUDQGߤ௠௔௫ ൌ ͳͲଵ଴ ܲܽ‫ݏ‬LVDERXQGIRUWKHDSSDUHQW YLVFRVLW\ZKLFKSUHYHQWVLQILQLWHYDOXHVZKHQWKHVKHDUUDWHYDQLVKHVPGLVWKHYLVFRVLW\ZKLFKLVDVVXPHGFRQVWDQW WKURXJKRXWWKHFRPSXWDWLRQLQUHDOLW\LQGHQVHJUDQXODUIORZVLWLVGHSHQGHQWRQVKHDUUDWHDQGSUHVVXUH>@EXW

166

Francesca Ceccato and Paolo Simonini / Procedia Engineering 158 (2016) 164 – 169

WKLVZLOOEHFRQVLGHUHGLQIXWXUHGHYHORSPHQWVRIWKHUHVHDUFK1RWHWKDWPDWHULDOFRPSUHVVLELOLW\LVWDNHQLQWRDFFRXQW E\WKHEXONPRGXOXV. 'HVFULSWLRQRIWKHQXPHULFDOPRGHO 7KHJHRPHWU\RIWKHPRGHOIROORZVWKHVPDOOVFDOHODERUDWRU\H[SHULPHQWVE\>@$ER[RIVDQGLVSODFHGDWWKH WRSRIDFPZLGHLQFOLQHGFKDQQHOZKRVHVORSHYDULHVEHWZHHQƒDQGƒ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

 )LJ*HRPHWU\DQGGLVFUHWL]DWLRQRIWKHQXPHULFDOPRGHO 7DEOH&RQVWLWXWLYHSDUDPHWHUV (ODVWRSODVWLF

9LVFRSODVWLF

@ 5 ,YHUVRQ 7KH GHEULVIORZ UKHRORJ\ P\WK UG ,QW &RQI 'HEULV)ORZ +D]DUGV 0LWLJ 0HFK 3UHGLFW $VVHVV   ± KWWSVSURILOHXVJVJRYP\VFLHQFHXSORDGBIROGHUFL0DU,YHUVRQ'HEULV)ORZ5KHRO0\WK')+0SGI >@&$QFH\3ODVWLFLW\DQGJHRSK\VLFDOIORZV$UHYLHZ-1RQQHZWRQ)OXLG0HFK  ±GRLMMQQIP >@--0DMRU'HSRVLWLRQDO3URFHVVHVLQ/DUJHǦ6FDOH'HEULVǦ)ORZ([SHULPHQWV-*HRO  ±GRL >@60RULJXFKL.6DZDGD58]XRND1XPHULFDO6LPXODWLRQRQ)ORZ)DLOXUHRI*HRPDWHULDOV%DVHGRQ)OXLG'\QDPLFV6RLOV)RXQG   ± >@%'RPQLN633XGDVDLQL5.DW]HQEDFK6$0LOOHU&RXSOLQJRIIXOOWZRGLPHQVLRQDODQGGHSWKDYHUDJHGPRGHOVIRUJUDQXODUIORZV- 1RQQHZWRQ)OXLG0HFK  ±GRLMMQQIP >@3%DUWHOW%6DOP8*UXEHU&DOFXODWLQJGHQVHVQRZDYDODQFKHUXQRXWXVLQJD9RHOOP\IOXLGPRGHOZLWKDFWLYHSDVVLYHORQJLWXGLQDOVWUDLQLQJ -*ODFLRO   >@60RULJXFKL5,%RUMD$@'6XOVN\=&KHQ+/6FKUH\HU$SDUWLFOHPHWKRGIRUK\VWRU\GHSHQGHQWPDWHULDOV&RPSXW0HWKRGV$SSO0HFK(QJ  ±  >@$185$'  KWWSPSPGUHGJHHX >@)&HFFDWR/%HXWK3$9HUPHHU36LPRQLQL7ZRSKDVH0DWHULDO3RLQW0HWKRGDSSOLHGWRWKHVWXG\RIFRQHSHQHWUDWLRQ&RPSXW*HRWHFK  GRLMFRPSJHR >@. 6RJD ( $ORQVR $ @$@)&HFFDWR36LPRQLQL1XPHULFDOVWXG\RISDUWLDOO\GUDLQHGSHQHWUDWLRQDQGSRUHSUHVVXUHGLVVLSDWLRQLQSLH]RFRQHWHVW$FWD*HRWHFK   GRLV >@6%DQGDUD.6RJD&RXSOLQJRIVRLOGHIRUPDWLRQDQGSRUHIOXLGIORZXVLQJPDWHULDOSRLQWPHWKRG&RPSXW*HRWHFK  ± GRLMFRPSJHR >@)&HFFDWR36LPRQLQL6WXG\RIODQGVOLGHUXQRXWDQGLPSDFWRQSURWHFWLRQVWUXFWXUHVZLWKWKH0DWHULDO3RLQW0HWKRGLQ,17(535$(9(17 &RQI3URF/XFHUQH >@&00DVW 3 $UGXLQR *50LOOHU 3 0DFNHQ]LH+HOQZHLQ $YDODQFKH DQG ODQGVOLGH VLPXODWLRQXVLQJ WKH PDWHULDO SRLQWPHWKRG IORZ G\QDPLFVDQGIRUFHLQWHUDFWLRQZLWKVWUXFWXUHV&RPSXW*HRVFL  ±GRLV >@'/DLJOH3/DFKDPS01DDLP63+EDVHGQXPHULFDOLQYHVWLJDWLRQRIPXGIORZDQGRWKHUFRPSOH[IOXLGIORZLQWHUDFWLRQVZLWKVWUXFWXUHV &RPSXW*HRVFL  ±GRLV\ >@03DVWRU%+DGGDG*6RUELQR6&XRPR9'UHPSHWLF$GHSWKLQWHJUDWHGFRXSOHG63+PRGHOIRUIORZOLNHODQGVOLGHVDQGUHODWHG SKHQRPHQD,QW-1XPHU$QDO0HWKRGV*HRPHFK  ±GRLQDJ >@@7-RKDQQHVVRQ3*DXHU3,VVOHU7KHGHVLJQRIDYDODQFKHSURWHFWLRQGDPVGRL >@*'50LGL2QGHQVHJUDQXODUIORZV(XU3K\V-(  ±GRLHSMHL >@..DPULQ1RQOLQHDUHODVWRSODVWLFPRGHOIRUGHQVHJUDQXODUIORZ,QW-3ODVW  ±GRLMLMSODV >@,5HGDHOOL&GL3ULVFR'9HVFRYL$YLVFRHODVWRSODVWLFPRGHOIRUJUDQXODUPDWHULDOVXQGHUVLPSOHVKHDUFRQGLWLRQV,QW-1XPHU$QDO 0HWKRGV*HRPHFK  GRLQDJ

169