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外文翻譯之譯文部分鄭州大學(xué)水利水電工程2006級(jí)PAGE1素混凝土的尺寸效應(yīng)及動(dòng)態(tài)響應(yīng)水利水電工程3班20060510337仲青華指導(dǎo)老師:郭進(jìn)軍摘要:本文研究了素混凝土試樣動(dòng)力響應(yīng)的尺寸效應(yīng)。該報(bào)告是根據(jù)作者和其他人的實(shí)驗(yàn)數(shù)據(jù)并考慮了梁的蠕變、彎曲影響下的梁和受軸向沖擊載荷作用的圓柱體的試驗(yàn)結(jié)果。尺寸效應(yīng)是通過(guò)使用Ba?ant的規(guī)模效應(yīng)法和多重標(biāo)法則來(lái)監(jiān)測(cè)的,而且縮放模式能夠捕捉尺寸效應(yīng)的強(qiáng)度。對(duì)于斷裂能,換言之,規(guī)模效應(yīng)僅僅體現(xiàn)在影響率上。在準(zhǔn)靜態(tài)荷載作用下,受壓素混凝土對(duì)試件尺寸更加不敏感。但是在沖擊作用下,壓縮反應(yīng)相對(duì)于彎曲作用似乎更依賴(lài)尺寸。然而,考慮到應(yīng)力變化率的影響,彎曲響應(yīng)描繪了更加重要的尺寸效應(yīng),它類(lèi)似于準(zhǔn)靜態(tài)荷載作用下的響應(yīng)。DOI(數(shù)字對(duì)象唯一標(biāo)識(shí)):10.1061/(ASCE)0899-1561(2006)18:4(485)湊土運(yùn)木常工刷程扒數(shù)則據(jù)鋪庫(kù)倘主屆題忽詞氣:增斷去裂姥;大混爛凝抹土紅;射尺皺寸浪效諷應(yīng)占;炊動(dòng)海態(tài)奔響檢應(yīng)那。
屆前即言慕
躁躁曲測(cè)謀尺贏度咐問(wèn)袋題帥在拼任機(jī)何垃物鵲理純理后論勉都夸具慎有英重衣要弄地葵位累。湯在燙最膚近攏的利一廟篇似B清a雄?去a在n帽t滋所老寫(xiě)體的廟文功章溉中萬(wàn)介罪紹嘗了風(fēng)運(yùn)味用工固逃體星力溉學(xué)殖解密決湖這噴一擋問(wèn)蛙題渣的含歷紫史歲。認(rèn)在孫現(xiàn)船代蝴,遭自齊從堵W蒙e筋i資b壟u鍛l燙l向提鏡出煙其晉辦憲法枯以甚來(lái)濟(jì)該偵問(wèn)荒題動(dòng)已擴(kuò)經(jīng)家歸潮于情統(tǒng)警計(jì)傾學(xué)界領(lǐng)點(diǎn)域并,六其村方等法流是咸基義于劍“鑄薄恒弱錯(cuò)環(huán)僚節(jié)踢”摘理怪念喘和語(yǔ)“幫薄衫弱縱環(huán)族節(jié)默”買(mǎi)的沉發(fā)個(gè)生往概話率敲隨教試峽樣放尺檢寸栽大際增愧大丙而顏增親加另。霸早填些訪時(shí)孟候率,案G歪r促i竊f套f涂i李t飾h環(huán)的今基煮于夫能地量如的莖用斷于要解碎決襲裂克紋凍擴(kuò)客展周的南方柄法巾假枯象董過(guò)闊規(guī)減模暢效脈應(yīng)籍,撥不鉤過(guò)礦這寺種罪方跌法貧具移有能物來(lái)質(zhì)蝴依蛋賴(lài)補(bǔ)性歸。左在顆過(guò)蚊去蒜的朱幾森十亮年聚中略,希在萍過(guò)粘去拾的鏡幾蕉十末年聯(lián)中邊,務(wù)有醫(yī)許漿多屈關(guān)津于廊準(zhǔn)什脆瓦性案材奉料蒸試筍件棚尺臣寸丈效姑應(yīng)頭的霞報(bào)碎告寸。朽針恩對(duì)糠這遺些宴材銹料俗,飛B朗a漿?指a勾n利t伸認(rèn)徒為妨源默于沖裂縫紋點(diǎn)能蒙量棄吸肢收膽率銀和稈釋滅放諷率隆的必不乘匹店配矛。互能側(cè)量船吸竊收造率晃的掙增買(mǎi)加溜的青很勿大循一都部藏分蓬隨擁著綿尺洋寸笨平金方繳的內(nèi)增侵加幸而洗增泳加低,針然常而磁釋磨放授率返的拿增盯加扛確撐實(shí)世線狠性腿的懷。茫因塑此棵,銅通仆過(guò)圾減腦少擇標(biāo)數(shù)本繡的生能社源宴釋淋放卵率科,誼減租少執(zhí)名秒義庸應(yīng)浸力跌被冬看繩作楚是票補(bǔ)借償宇差均額城的息一夕種仍手臉段駁。撒不囑同秒于絡(luò)準(zhǔn)旨靜造態(tài)丟荷隱載兇,罩在佛動(dòng)段力晉學(xué)偏領(lǐng)瘡域媽樣幻本驢尺介寸戀效曉應(yīng)寬的誓研茶究陵還安沒(méi)配有撇獲夠得寨很術(shù)大邁的另重自視召。眼這順?lè)N永嘗講試嚴(yán)是臘主版要緞限況于留纖基維冒增控強(qiáng)坑聚柔合伍物便。么關(guān)網(wǎng)于蝶水隊(duì)泥請(qǐng)基燥材劇料嶺的寒?dāng)?shù)衡據(jù)厭極意為伍稀煤缺燈并訂且沿近粘期婚已坑開(kāi)智始尺關(guān)惑注柔沖偶擊挽速擋率奮。姨設(shè)駕計(jì)躲規(guī)蒙范游及蘆試手驗(yàn)?zāi)c標(biāo)投準(zhǔn)施方墊法私的茂缺露乏汽阻特止饅我撈們鼓賦東予少建歷筑臺(tái)材永料視抵蹲抗欲沖丹擊刷和亦爆惡炸記的男能才力嶺。共此哥外玉,砌沖廣擊醒試均驗(yàn)央介美紹編一亦些壩不派相必干扶的盜影遲響掠,萌諸轉(zhuǎn)如酷慣架性胃和蜘試尿驗(yàn)呈機(jī)夕的拜影陳響分。初也奏許祝最派嚴(yán)享重懲的被障霧礙恨是搭水斧泥播基屑復(fù)樣合賣(mài)材啟料糊的雙固摔有響的脆應(yīng)沫力堆變既化滿率音敏泊感貓性茄。險(xiǎn)M蓋o晌r屯t陽(yáng)o珍n親說(shuō)勉建侵立爺一圾個(gè)搶精膀確仙的侄速慈率堡敏業(yè)感愁性浴材皺料暑的驚規(guī)儀模柜模呆型湊是踏不戶太見(jiàn)可泰能凳的簽。跑此臟外邁,療在斑動(dòng)悼力嘗作躁用僚下維尺筑度丈模焦式鄙的達(dá)適效宜賊性旗仍嘆在虎研笑究厭中闖在置本罩文晶中撐,疊我跡們毒將佛著避重朽研水究幅在花高門(mén)頻盾應(yīng)寄力自作醫(yī)用肝下款水衡泥膠基薪材壓料軍的效尺映寸種問(wèn)改題誦。鍬在棉本量文狂中驢,阻關(guān)寶于賣(mài)混刃凝受土閃沖禁擊撿反巨應(yīng)律的流尺狠寸親效酒應(yīng)爭(zhēng)將仙通頓過(guò)傷對(duì)決其綿他致學(xué)假者眉發(fā)悲表繳的內(nèi)數(shù)能據(jù)輩的記估汪計(jì)提來(lái)邀闡鍬明羽。臂為夕我臭們毅所冒熟澤悉坊的謹(jǐn)用余于刑準(zhǔn)娃靜蓬態(tài)勢(shì)荷更載嚼的胃標(biāo)撫度娃率裁在孫動(dòng)餃應(yīng)補(bǔ)力限作艘用藏的蒜背蝕景只下品將詞被徒再戒度供審屬視鼠。危這盞篇銷(xiāo)文犁章震,墨討民論也試膨樣屠尺額寸痰、安強(qiáng)暗度翅矩檔陣備、污應(yīng)識(shí)力乏速遣率并敏宅感摟性宇及圖加決載己形悶式犯之駁間羨的抓相孤互睬作撲用掌。驅(qū)準(zhǔn)語(yǔ)脆匪性騎系跨統(tǒng)溝的綁標(biāo)巡度垂律史并偷圈士眾趣所壓周藝知經(jīng),縣素典混很凝晉土欲準(zhǔn)黨靜訓(xùn)態(tài)萄響躲應(yīng)干受擺試誓樣腦尺涉寸繭的盈影疾響揀。檔幾匙十送年役來(lái)堤收坡集姓的聯(lián)資按料圍的碰顯短示雪了漆結(jié)強(qiáng)構(gòu)潛用云混亞凝細(xì)土紡在撇壓漿縮鞠、凍拉溫伸談、親彎哄曲幕、貍剪膛切恭、稍扭益轉(zhuǎn)古作督用炒下坐其貼性熄能痰對(duì)席尺極寸斥強(qiáng)潮烈銜的剝依貨賴(lài)肺性矩。悶三誠(chéng)種奪方甚法膝主消導(dǎo)損了膜對(duì)洗準(zhǔn)我脆身性頂材澤料域尺述寸滋效灑應(yīng)侍的奉研杠究柱:愿襲田遮槍1供.通暗隨陶機(jī)原強(qiáng)烏度辛的驚統(tǒng)匪計(jì)溪理訪論介;害扁怎侍階2切.枝真寬洲裂??p噸導(dǎo)勿致白應(yīng)冊(cè)力鑒重堆分胳布疊和有斷誤裂裝能賽的拖釋務(wù)放宵的碗理誘論背;
館謙座供草3繼.儀天裂泳紋番分隔形丹性緞理成論爭(zhēng)。齡摘趟扭辛這期篇鉛文懷章談的餅重百點(diǎn)帆是驅(qū)后嬌兩場(chǎng)種卷模根型攀并豈且脖將農(nóng)檢演驗(yàn)歌動(dòng)張荷紛載楊作曬用曉下肅素打混裂凝慎土凳的車(chē)尺見(jiàn)寸投效鴨應(yīng)哭。闖螺逐扔大味生醋臘臂厭廟島喜晴得嘩令陰已圖扇1京綠齊標(biāo)何度孕率瓦描腸述忌素響混粉凝愛(ài)土支的雞尺遵寸著效眠應(yīng)躍B敗a齒?備a競(jìng)n陣t環(huán)尺鋪寸弟效重應(yīng)相律廣(姻B票a澡?忘a芝n襲t免1占9倆8款4格)
男投予瓣雅據(jù)吐B美a拌?卻a痕n督t狠,鍛固術(shù)體陸的廣尺赤寸脈效啞應(yīng)羞是伏從逆適友用任于辯小紅尺抱寸寇試座樣傘的甘塑養(yǎng)性投強(qiáng)懷度隸準(zhǔn)梅則潤(rùn)向怕大脾尺庫(kù)寸鮮試浩樣鞠中幣?;\見(jiàn)繼線汗彈錢(qián)性罪斷板裂赴力蟲(chóng)學(xué)井裂鞠縫歇尺談寸蔑依符賴(lài)泡性透的屈一藥種磨平壇穩(wěn)聯(lián)過(guò)核渡講。尼一繡系羊列到幾悔何流相竿似臟的瓦混收凝撕土跟試周樣傍的滲破麥壞笑應(yīng)金力屬通尼過(guò)泥下育列包無(wú)蜂窮萬(wàn)級(jí)厲數(shù)思來(lái)握描驕?zhǔn)鼋樱籂?zhēng)紐撕織籃罪捐這智鳥(niǎo)鞠治交芹}縱縮(枝1涂)礎(chǔ)d度為蓬特饑征版尺掏寸迎;蜘B傾,萌存和釋腎是念實(shí)燃驗(yàn)域數(shù)江據(jù)精中割的穗經(jīng)思驗(yàn)壯常秩數(shù)杰。廉因錄為絞尺赤寸取,吼無(wú)錘窮痛級(jí)淺數(shù)弊公冰式買(mǎi)(藥1銀)振能半化滔簡(jiǎn)脅為招兩獸項(xiàng)褲。尺因墳此數(shù),痛B衫a跌?趴a或n來(lái)t曾的超尺停寸責(zé)律策簡(jiǎn)翠化確為效刺披丟捕桃樂(lè)蝦賞月遣譜泄皺許營(yíng)桂撈輝抖握類(lèi)皺伴誓璃豈朽律仿跌直造禾誤轎獄(溫2墻)臥多班邊比標(biāo)支度稈律懼(藥C冤a排r摔p炒i集n嗚t雨e跌r初i另?yè)p和粘C錄h巖i義a鴉i駱a胸悅1姥9烏9季7逐)糕仁暈接梳C約a劑r貫p求i等n牢t乘e傍r扛i舅和波他畫(huà)的鄙同喂事奸通岔過(guò)凱使禍用避自廁相縫似忽形臨態(tài)碼學(xué)可的屆概脾念帝和蔥被頑稱(chēng)保作氏分竿形牲的砍非錦整朝數(shù)傲尺幻寸塌來(lái)小描綠述靜諸花如延混塵凝喝土怎這科樣嫂的誦準(zhǔn)恒脆濤性閉材湯料冤的療微壩觀勻結(jié)照構(gòu)曲。倚隨框著友探召測(cè)鹽程哈度陷的究加菠深幼,誓拓良撲戀分送形樂(lè)性以被情認(rèn)綁為托將君要額消劃失岸。柴由秤于候這雕一向混屠合撿材滿料夠依國(guó)然鋼不濁受幕尺額寸默影償響皂,鳥(niǎo)因咸此戀他扶們吐假回定腸宏任觀腎尺孤寸攜對(duì)皮力蔥學(xué)杜性餓能歲的赴影霸響付是快試婆樣摟尺窯寸坡b撥和尺特拴征謹(jǐn)長(zhǎng)控度某相貼互啊作陵用溜的爛結(jié)喚果懷。賠在致此輔假墻設(shè)彩基滴礎(chǔ)狹之灘上花,惑建蛛議備如拋下驅(qū)所標(biāo)示蓮的狗多后分胸形末標(biāo)蠅定義律斷(魂M充F舅S宏L旗)?。和跀嘲Y竹傾容堆獨(dú)茶勁督容攜度彈傅可欣被(顛3甘)緩此沃處襯場(chǎng)為頁(yè)尺畜寸昂無(wú)戴限火大寧前司提稼下躁的屬名咱義仍應(yīng)簡(jiǎn)力圾的首漸柄近駁值去。破(鉤和萬(wàn)B競(jìng)E蘋(píng)S掏L疊截求然趨不頁(yè)同雙的必是洗,姓M躺F灑S舊L憲似梨乎賺適森合須無(wú)肅凹聰槽躺的哨試權(quán)樣轎,鄰因重為頁(yè)試芽樣好仍受然笨有命殘燙余擾應(yīng)江力左即縫使滋尺特寸澆很墻大黎。府圖首2牢扮均1附9本9置2膽年探B坡a蜘?決a宰n扎t包出和基G趣e弊t瓶t瞞u尸荷每載稱(chēng)關(guān)梨系摘試膏驗(yàn)熊的拖尺腸寸拾數(shù)接據(jù)日及脖試露驗(yàn)自細(xì)他節(jié)饑材和料或,許試莊樣飛和能試損驗(yàn)手的昌細(xì)魂節(jié)熔張負(fù)撒彩為剩了促準(zhǔn)妹備冤這肢篇葉論遙文紐,擠下羨面席的躺研亮究交數(shù)柏?fù)?jù)搭已說(shuō)被殲整欄理之:黑B慮a漲?帽a泊n運(yùn)t寺瞞和臣腿G恰e畝t竟t憑u演尊(監(jiān)1局9獸9店2及)雄,襯鴨C寺h亞e侮n曬賭(盤(pán)1善9窩9繭5掉)饑,悼取K藝r慰a樸u星t溪h半a樓m參m敢e們r(jià)子等葡人傭(卸2迫0葉0摧3桶)福,轟霞E痛l欣f述a斃h搬a杏l逮潮等日人痛忽(做2他0嘆0驗(yàn)4釋?zhuān)┡?略同梢時(shí)替還根有增最敘近慌的迅研悅究踢數(shù)格據(jù)鵝。貼在獅這選樣皆的隸運(yùn)出用烘中櫻,棒研缺究景范脆圍子內(nèi)瞇配致合鼓比醒設(shè)弊計(jì)指,箭試腰樣郊和麥測(cè)劑試答設(shè)泡置漏的支變憂化迫是耐可牙以貧預(yù)藏料著的屈。圍然菌而門(mén),澆一唐些銀常晨見(jiàn)蔑相仔似蓮之壤處傻被澆認(rèn)芝為埋是掃一蹈些劈結(jié)噴果報(bào)分竭析族的優(yōu)證春明旅。沈例諸如賤,姜通遙常戒情么況逐下朽,激普襖通父強(qiáng)織度膏混培凝躬土塵2頁(yè)8嘴天屬抗檔壓青強(qiáng)瞞度槐介燥于弊2殊7籍至英4除0芬M醫(yī)P巴a德之捐間刻。坡彎引曲花試娃驗(yàn)竄中削,隔梁電具奏有孕介縫于耗2掌.怠5鈔至膛3廟之重間鐵的楚跨示高等比檔同矛時(shí)維在搏相末似贈(zèng)的末支糖撐件條臥件貸下雖試產(chǎn)驗(yàn)脂。墊B唱a站?摟a攤n頸t例曾和宿G俊e端t躁t藏u御試凳驗(yàn)?zāi)ǎ▋?沉9蝦9緞2逐)噴滴伶專(zhuān)坊如意圖互2桶所診示密,任開(kāi)遷槽姜梁憲(積槽沙深展=提1遠(yuǎn)/旁6來(lái)梁鞭高帖,熄試裁樣抹尺段寸德比該例原1包:迫2近:綿4位)魯經(jīng)郊過(guò)式了奇調(diào)密查數(shù)。運(yùn)最章大比整辜數(shù)脾尺寨寸糧是肌1缸3街m脾m抵。煉在脆這孔次綠素悄混尖凝素土燒卸貌載嫌研止究棕中察,凝最耍大型時(shí)棍間欺高牲峰原在澆1危.雷2丹至耳2頓0蔑0鋸0吐0解s坡間航變簡(jiǎn)化擔(dān)。呆三蒼個(gè)雪分缺別旨被犧測(cè)熄試汪用去來(lái)歸獲逼取休各貨自著的臘數(shù)什據(jù)末點(diǎn)牌。尖來(lái)泄自赤K拴r介a伴u彼t侄h導(dǎo)a刷m能m惜e甩r晃豪等盤(pán)人評(píng)(壟2赤0記0勵(lì)3售)技及民E按l挽f扁a崗h慰a漸l諒謝等勻人息(刻2弄0世0芬4船)撒的身結(jié)礙果肥警烘蔬菠如購(gòu)圖正3授靜所鴿示遙,斤這小項(xiàng)悄研梨究分測(cè)蘭試卡了果四陳組吩如壩下白不憂同抱尺偷寸吊的倍混盒凝傅土撇圓忍柱專(zhuān)體劑:脈直管徑殊和字高微分漆別腳為巨:晝7程5鳳和近1圓5鉤0感m吩m唉;拖1佛5賭0匠和慈3需0呈0畢m桂m陸;敞3移0柿0洋和譜6純0敵0同m莫m訴;晚6劑0倡0禮和膚1奴2丸0灑0面m忌m巷。憐除項(xiàng)了飲普拼通員的范混億凝浪土食配腰置塑強(qiáng)汽度?。蔈定l案f臘a桐h獵a縫l滴e冷t著罩等趨人蝕[奪2當(dāng)0娃0姑4在]午)霧,蒙高愛(ài)強(qiáng)協(xié)混執(zhí)凝忠土送圓氣柱疫體另(蓬K霜r根a血u而t縣h炮a袍m垮m諸e鬼r雜等紛人化[趕盲2鎖0斯0佳3煉]剪)知的跪抗咳壓草強(qiáng)菜度帥可撒達(dá)苦到位1困0材0葉M吩P者a但。庫(kù)每都個(gè)沉數(shù)盆據(jù)陵點(diǎn)初都暑是億通親過(guò)拖測(cè)除試懸三占件茫試射樣握獲腸得鴨的柜。妄圓圍柱感體率試屆樣惕在歡準(zhǔn)箭靜楊態(tài)陷及元兩秒種榆不深同益速魂率始的既沖站擊機(jī)荷舊載墾作托用到條安件孕下善接嗎受究測(cè)順試嗽,亂沖捉擊皮荷甘載障速臣率寸分愉別嗎為喉5侄m碼/西s齡和獨(dú)7課m派/卻s混??鸽m梳然送使旬用薦了吹四網(wǎng)種壤質(zhì)清量低不濾同萬(wàn)的析力挨錘鋪(新6寸0洪k辛g鄙至柴3退0圍0殺0張k逆g跑)迎,歐在膏整迫個(gè)夠進(jìn)丟程翁中軋,脖沖帆擊挽速瓶率叔始蔥終脖保除持央為規(guī)常頭數(shù)滾。辜圖市3想罩椅K旅r譽(yù)a都u與t朽h蘭a寺m規(guī)m臨e親r武袖等劑人差獄(蠻2外0涼0偵3支)棒及姨仁E嫌l汗f宜a辯h狐a瑞l拒祝等生人筑(框2居0朝0枝4偷)繩的賽抗簽壓刺試園驗(yàn)叛中廈圓瀉柱蝶體落尺旋寸右圖另4惕歷谷本趕次灑研嫂究且中降彎品曲誘試導(dǎo)驗(yàn)霸梁培(毀方刻形恩截喂面失)汽的應(yīng)尺砍寸肅(治注鬧:后準(zhǔn)信靜余態(tài)景試辛驗(yàn)刺采個(gè)用惹四德點(diǎn)糠加枕載睜方取式名進(jìn)匯行扮;阻梁獲的訂實(shí)銀際給尺蔥寸到為誘:仍5崗0蜻0北×才1牛5東0仗×麻1慮5混0衰,正3受5巾0濟(jì)×伶1彈0敬0貝×紹1趙0搖0斜,血4憂5抹0恨×狡5曲0魔×撇5灰0直,決這沈?qū)Ц露菓一钐袅荛L(zhǎng)五度擱分同別州為滿2妥5膽m倦m吉,蠶2幕5結(jié)m萌m賤,錯(cuò)1塊5室0蛙m轟m濃)薯研晉究扒現(xiàn)劫狀斷邪填嘴挺在脅三脹點(diǎn)災(zāi)沖綱擊粉荷焦載釋作抗用箱下岡對(duì)作三庭種寇不捏同置尺外寸洗的禿素奮混撲凝賞土推梁有進(jìn)刷行最測(cè)底試賠,俱通翼過(guò)丟使壇用赤6侮0粘k貞g肢的薯力鄙錘醬,臭沖戴擊滅試音驗(yàn)雁在謹(jǐn)如蛾下解四彼種感沖撒擊意速叔率節(jié)下顯進(jìn)闖行潔:擱1皂.問(wèn)9恨8挎,鋤社3咳.腔1血3底,瓶櫻3漁.斤8始3賄,寶舉和贊址4殿.掘4邀3熄m呆/降s沃。病每貝個(gè)金數(shù)數(shù)據(jù)膚點(diǎn)瓜通西過(guò)弓6改個(gè)俗試牛樣養(yǎng)來(lái)鳳采盜集梢。套彎搖曲普試徒驗(yàn)牢中杏的洗尺肺寸草和稈試栽驗(yàn)徒條謹(jǐn)件療如炭圖長(zhǎng)4虹所蘋(píng)示頃。投三瘡種彈尺崗寸星試撿樣牛的凍懸篇挑蹦長(zhǎng)碑度璃如扁下愧:稍毅5歪0贊×得5隨0漿×勤1姻5夾0吸蓄型調(diào)號(hào)企梁牢為佛1秒5塞0紹m柴m都,敘結(jié)1攏0鎖0壟×欠1碗0狗0賽×翅3度0始0窮型布號(hào)鹽梁惜為澆2斧5堪m縮m暑,藝抹1趕5辛0顆×四1早5具0遮×柄4姑5嘴0協(xié)型稠號(hào)恢梁壇為胖2漢5閥m恭m涉。蓮[標(biāo)借悠助師于唇公秀式幫(倘4孤)鳴懸禁挑鹽長(zhǎng)懸度魚(yú)被處考煉慮青到帶,捉公拼式爪中疤考父慮麗了鹽慣鋸性苦校山正牧。蝶]添愛(ài)最彎大俗骨寶料寶粒冬徑致為例1寬0礎(chǔ)毫盲米榮。鬼準(zhǔn)諸靜襖態(tài)之?dāng)?shù)走據(jù)神從恭c殃h隙e豈n令(網(wǎng)1瓣9鑒9集5望)僵的榴研犬究女中置獲楚得類(lèi),臺(tái)他您按峰照閱美訓(xùn)國(guó)棒材譯料斜標(biāo)室準(zhǔn)陣(彎A榴S為T(mén)納M疏)足方岡法肺和憤日峰本丟土貍木墳工豐程以協(xié)弄會(huì)欣方剝法乳(在J斃S懂C衫E悠-攜S蒙F歪4晉)艘,陳在荒四附點(diǎn)領(lǐng)加版載已的裹條扎件矛下戀對(duì)尾梁件進(jìn)秧行登檢序測(cè)曠。兆綠逮銳錫B左a越?嶼a殿n嘉t課指帆出恰,立為薪了協(xié)研老究標(biāo)試緞樣融的塞尺靠寸醋效甜應(yīng)粱(勸B全a憲?爬a紐n布t概1惰9池8俱4翼)驚至南少液需澆要顫研惰究劈三粘種俊不目同擔(dān)尺酷寸動(dòng)的考試蠶樣味,融并饒且屈必確須禍按食一位定爹比唉例騎縮螺放跳(澇如肌1勞:勤2豐:白4帳)著。程然番而骨,撥在情現(xiàn)距今墳研后究基中搜,阿學(xué)制者宅們悉被貝沖功床介作離用田下下劈當(dāng)裂勇楔旺形罵物行的償尺揮寸斜所呀限山制黃;刷因鉤此逮,甲梁川的晉尺戰(zhàn)寸始比慌例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鞠S疑i個(gè)z否e去桃E豐f略f額e拘c價(jià)t肆s腹徐a叔n菜d動(dòng)欣t娛h表e碼錢(qián)D膏y干n杠a汽m延i輸c單膜R剝e緞s式p肆o蘆n量s莊e疑青o逆f脹拍P財(cái)l框a欄i憂n鼓垂C刪o總n醋c窄r而e帖t灑e翼V翻.搶逝B編i械n鎮(zhèn)d妻i據(jù)g希a黎n峰a指v罰i程l熔e搏1術(shù)a邀n粉d燭柱N丑.匪麥B炒a場(chǎng)n專(zhuān)t鞭h燦i縣a理2Abstract:Thispaperinvestigatesthespecimensizeeffectonthedynamicresponseofplainconcrete.Thereportisbaseduponexperimentaldatabythewritersandothersandconsidersresultsfromcreeptestsonbeams,beamsunder?exuralimpact,andcylindersunderaxialimpactloading.SizeeffectisexaminedusingBa?ant’ssizeeffectlawandthemultifractalscalinglaw,andbothscalingmodels械a叔r蕉e疤際a更b退l趟e月戀t隔o茫怪c嚇a選p勤t榆u貧r預(yù)e殼精t械h采e套傘s堵i殺z機(jī)e災(zāi)耍e環(huán)f絞f溫e旋c肯t年乖o川n稠呀s告t蕉r刷e茫n蜂g漂t兔h申.葛羨F輛o吼r激迷f柏r介a俊c揀t煉u湯r罵e賭煎e(cuò)是n嘆e欲r兔g鋪y劫,肝探o泰n準(zhǔn)悅t悼h京e著簡(jiǎn)o嘉t聾h碌e燭r豪字h熔a鬧n沈d把,竊恐t居h計(jì)e損親s福i大z奔e仰述e裂f脊f體e貓c唯t叉疼m消a腸n慘i士f健e算s偵t半s蛇腫i銹t旱s漿e孤l彎f區(qū)示o踏n辯l啦y紅沉a鮮t泉廟i呢m筐p弟a喉c熱t(yī)內(nèi)粘r練a埋t裝e賠s帳.鉆U洗n炊d繩e葛r剩灣q敘u粗a養(yǎng)s剛i軋s垮t渡a塔t巷i薦c壇思l滅o丈a缺d喬i取n灰g錯(cuò),瘡抖p紐l燃a伐i熱n唇皆c濾o盤(pán)n練c傳r學(xué)e提t(yī)與e劍與i亮n師錄c堆o印m估p六r澤e館s炊s享i停o盆n秀渴i酷s諷耽l富e夕s淘s化災(zāi)s貸e鞏n裹s扎i盾t禁i嫩v錦e臨欲t臺(tái)o治偽t憶h布e犯書(shū)s垃p脖e她c輸i生m夏e道n梁辣s習(xí)i易z濤e映.杠考B膀u妨t胃屠u訪n拖d欣e邪r豪刪i響m紡p杰a丈c提t(yī)熔,晝蘆t責(zé)h助e碰薯c眠o嘴m罪p地r態(tài)e鑼s虧s暗i喬v飄e牛南r房e膏s蹦p徐o招n欣s撈e顧危a臨p勸p削e踢a瓜r傲s鄉(xiāng)村t鎖o限鄰b熱e妻還m臨o金r疤e戚趣s癢i寧z清e(cuò)冠椒d評(píng)e犯p桃e蹤n椅d內(nèi)e獸n貿(mào)t拴揀t惰h括a傭n瓶爪?痛e康x辨u煌r便e艇.慚餅H亮o蕉w淚e羅v扛e甲r毛,怎勁u須p毫o暈n列旅a禍c拒c瞇o蠟u們n拌t禁i逮n誕g確矮f儲(chǔ)o不r煮斃t風(fēng)h勿e獎(jiǎng)數(shù)s更t嚴(yán)r銅e爆s粒s扇恩r喜a產(chǎn)t顧e想欠e炸f想f攜e食c換t撤s襖,槍拳t悼h液e容炊?匯e棕x掀u銳r展a溜l物植r再e三s侮p低o雁n浩s戰(zhàn)e姐薪d秤e侵p電i論c螺t唉s嶄荷a坐橡m誠(chéng)o靈r不e更脫s蹄i棉g變n存i屯?獸c輝a句n慧t呈哀s鴉i素z四e謝濫e僵f席f弱e鞠c啞t座,忙修s磁i籠m費(fèi)i砌l籍a(chǎn)奉r扎兼t鴉o擊軟t逢h院a細(xì)t末閱s桌e鏡e償n徑罰a差t限協(xié)q館u蕉a餡s抵i陪-堂s賞t拘a房t播i班c印腫r周a右t朗e健s工.DOI:10.1061/(ASCE)0899-1561(2006)18:4(485)CEDatabasesubjectheadings:Fracture;Concrete;Sizeeffect;Dynamicresponse.
IntroductionThequestionofscalingisofafundamentalimportanceinanyphysicaltheory.InarecentarticleBa?ant(1999)presentsthehistoryoftacklingthisissuewithinsolidmechanics.Inmoderntimes,theproblemhasbeenconsignedtotherealmofstatisticseversinceWeibullproposedhisapproach(Weibull1939)basedontheconceptofthe“weakestlink”andtheincreasingprobabilityofitsoccurrencewithanincreaseinthespecimensize.Earlier,Grif?th’senergy-basedapproachtocrackpropagation(Grif?th1921)envisagedasizeeffect,whichwasmaterialdependent.Inthelastcoupleofdecades,therehavebeennumerousreportsBa?ant1984;CarpinteriandChiaia1997;Karihaloo1999;JenqandShah1985aboutthespecimensizeeffectsinquasibrittlematerials.Forthesematerials,Ba?antstatesthatthesourceofthesizeeffectisamismatchbetweenthesizedependenceoftheenergyreleaserateandtherateofenergyconsumedbyfracture(Ba?ant2000).Whereasasigni?cantportionoftheformerincreasesasthesquareofthespecimensize,thelatterincreaseslinearly.Thus,thereductioninthenominalstressisseenasameansofcompensatingforthisvariancebyreducingtheenergyreleaserateofthespecimen.Unlikewithquasi-staticloading,thestudyofspecimensizeeffectsinthedynamicdomainhasnotreceivedmuchattention.Suchattemptsarecon?nedlargelyto?berreinforcedpolymers(Morton1998;Qianetal.1990;Liuetal.1998;Han1998).Thedatawithrespecttocement-basedmaterialsisextremelyscarce(Ba?antandGettu1992;OhandChung1988;Krauthammeretal.2003;Elfahaletal.2004;BanthiaandBindiganavile2002)andattentiontowardsimpactratesisveryrecent.Alackofdesigncodesorevenastandardmethodforlaboratorytestinghindersourabilitytocharacterizebuildingmaterialsforconstructingimpactandblastresistantfacilities.Moreover,impacttestingintroducesseveralextraneousin?uencessuchastheinertia(Banthiaetal.1987)andtestmachineeffects(BanthiaandBindiganavile2002).Perhapsthemostseriousimpedimentistheinherentstressratesensitivityofcementbasedcomposites.Mortonstatesthatitisnotpossibletoproduceanexactscalemodelforrate-sensitivematerials(Morton1998).Further,thesuitabilityofknownscalingmodelsunderdynamicratesisstillunderscrutiny.Inthiscontext,aspecialemphasismustbeassignedtoexplainingtheissuesofscalingforcement-basedmaterialsunderhighstressrates.Inthispaper,thesizeeffectontheimpactresponseofconcreteispresentedthroughanassessmentofrecentlypublisheddatabythewritersandothers.Familiarscalinglawsdevelopedforquasistaticloadingareexaminedinthecontextofdynamicstressrates.Thispaperdiscussestheinterplaybetweenthespecimensize,matrixstrength,stressratesensitivity,andloadingcon?guration.ScalingLawsforQuasi-BrittleSystemsItiswellknownthatthequasi-staticresponseofplainconcreteisaffectedbythesizeofthespecimen.Evidencegatheredoverdecadesrevealsastrongdependenceonsizeforstructuralconcretebehaviorundercompression(SabnisandMirza1979),tension(Ba?antetal.1991;vanMierandvanVliet2002),?exure(Wright1952;Ba?antandLi1995;JueshiandHui1997),shear(Ba?antandSun1987),andtorsion(Zhouetal.1998).Threeapproachesdominatethestudyofsizeeffectsinquasi-brittlematerials(Ba?antandChen1997):1.Thestatisticaltheoryofrandomstrength;2.Thetheoryofstressredistributionandfractureenergyreleasecausedbylargecracks;3.Thetheoryofcrackfractality.Thisreportfocusesonthetwolattermodelsandwillexaminethesizeeffectinplainconcreteunderdynamicratesofloading.Fig.1.ScalinglawstodescribesizeeffectsinplainconcreteBa?ant’sSizeEffectLaw(Ba?ant1984)AccordingtoBa?ant,thesizeeffectinsolidsisasmoothtransitionfromthestrengthcriterionofplasticity(applicabletosmallsizespecimens)tothecracksizedependenceoflinearelasticfracturemechanics(LEFM)(asseeninmuchlargerspecimens).Thefailurestressofaseriesofgeometricallysimilarspecimensofconcreteisdescribedbythefollowingin?niteseries:(1)whered=characteristicdimension;andB,d0,andAiareempiricalconstantsobtainedfromexperimentaldata.Forthesizerangeuptoβ≦1/20,thein?niteseries,Eq.(1),maybetruncatedtothe?rsttwoterms.Thus,Ba?ant’ssizeeffectlawBSELreducesto(2)MultifractalScalingLaw(CarpinteriandChiaia1997)Carpinteriandhisassociatesusedtheconceptofself-similarmorphologieswithnonintegerdimensionscalledfractalstodescribethemicrostructureofquasi-brittlematerialssuchasconcrete.Withanincreaseinthescaleofobservation,thetopologicalfractalityisthoughttovanish.Asthemicrostructureofaheterogeneousmaterialremainsthesameregardlessofsize,theyproposedthatthein?uenceofmacroscopicsizeonthemechanicalpropertieswasaresultoftheinteractionbetweenthedimensionbandacharacteristiclengthlchforthespecimen.Onthebasisofthishypothesis,thefollowingmultifractalscalinglawMFSLwasproposed:(3)whereft=asymptoticvalueofthenominalstrengthσuatin?nitesizes.AsopposedtoBSEL,MFSLappearstosuitunnotchedspecimens,astheyhavearesidualstrengthevenforextremelylargesizes.Fig.1graphicallydescribesthetwoscalingmodels.Ascanbeseen,BSELdescribesthesizeeffectwithadownwardconcavity,indicatingzerostrengthatin?nitesize.Ontheotherhand,MFSLpredictsaresidualstrengthatin?nitesizeforthespecimen.Fig.2.DimensionsandtestdetailsofloadrelationtestsbyBa?antandGettu1992DetailsofMaterials,Specimens,andTestsInpreparingthisreport,datafromthefollowingstudieshasbeencollated:Ba?antandGettu(1992),Chen(1995),Krauthammeretal.(2003),Elfahaletal.(2004),andthepresentstudy.Insuchanexercise,awidevariationinthemixdesigns,specimens,andtestsetupswithinthesestudiesistobeexpected.Nevertheless,somegeneralsimilaritieswereidenti?edtojustifyananalysisoftheresults.Forinstance,normalstrengthconcreteinallcasesreferstoa28daycompressivestrengthbetween27and40MPa.Forthe?exuraltests,thebeamshadaspan-to-depthratiobetween2.5to3andweretestedundersimilarsupportconditions.TestsbyBa?antandGettu(1992)Notchedbeams(notchdepth=1/6thofbeamdepth)withthreesizesscalingas1:2:4wereinvestigated,asshowninFig.2.Themaximumaggregatesizewas13mm.Inthisstudyofloadrelaxationinplainconcrete,thetime-to-peakloadvariedfrom1.2to20,000s.ThreespecimenswereexaminedforeachdataPoint.ResultsfromKrauthammeretal.(2003)AndElfahaletal.(2004)AsshowninFig.3,thisstudyexaminedconcretecylindersoffourdifferentsizeswiththefollowingdimensions(diameter×height):75×150mm;150×300mm;300×600mm,and600×1,200mm.Inadditiontothenormalstrengthmix(Elfahaletal.2004),highstrengthconcretecylinders(Krauthammeretal.2003)weremadetoachieve100MPacompressivestrength.Eachdatapointwasobtainedbytestingthreespecimens.Thecylindersweretestedquasi-staticallyandundertworatesofimpactloadingatincidentvelocitiesof5and7m/s.Althoughfourdifferentimpacthammerswereusedranginginmassfrom60to3,000kg,theincidentvelocitywaskeptconstantthroughouttheirprogram.Fig.3.DimensionsofcylinderstestedincompressionbyKrauthammeretal.2003andElfahaletal.2004Fig.4.Dimensionsofbeamssquarecrosssectiontestedin?exureinpresentstudy(Note:Quasi-statictestswereconductedunderfour-pointloading;actualbeamdimensionswere500×150×150mm,350×100×100mm,and450×50×50mm,resultinginoverhanglengthsof25,25,and150mm,respectively)PresentStudyPlainconcretebeamsofthreedifferentsizeswereexaminedunderthree-pointimpact.Usinga60kghammer,impacttestswereconductedatfourratescorrespondingtoincidentvelocitiesof1.98,3.13,3.83,and4.43m/s.Sixspecimensweretestedforeachdatapoint.Dimensionsandtestconditionsforthe?exuraltestsareshowninFig.4.Theoverhangforthethreesizeswereasfollows:150mmforthe50×50×150beams,25mmforthe100×100×300beams,and25mmforthe150×150×450beams.[ThelengthoftheoverhangwasaccountedforthroughEq.(4),whereitfactorsintotheinertialcorrection.]Themaximumaggregatesizewas10mm.Quasi-staticdatawasobtainedfromthestudybyChen(1995),whoexaminedthebeamsunderfour-pointloadingasperASTMC1018andJSCESF4.Ba?antindicatedthat,inordertostudyspecimensizeeffects(Ba?ant1984),atleastthreedifferentsizesmustbeinvestigatedandtheymustscaleingeometricproportione.g.(1:2:4).However,inthepresentstudy,thewriterswereconstrainedbythesizeofthestrikingwedgeintheimpactmachine;hence,thebeamsscaleas1:2:3.Further,forplainconcretebeamsunderimpactloading,caremustbetakentoaccountfortheinertialcomponentoftheloadasrecordedduringthetest.Banthiaobtainedthefollowingexpressiontodescribetheinertialcorrection,Pi(t),forbeamsunderthree-pointloading(Banthia1987):(4)Thus,thetruestressingload,Pb(t),intheimpacttestingofbeamswasobtainedas(5)wherePt(t)=loadasrecordedbythehammer.DiscussionStrengthTheresultsofimpacttestsinthisstudyaswellasthosefrompreviousreportswere?ttedtoBa?ant’ssizeeffectlaw[Eq.(2)]bymeansofamathematicalsoftware,employingtheLevenbergMarquardtprinciple,toarriveatoptimizedvaluesford0andBft.Similarly,thesamedatawasplottedaccordingtothemultifractalscalinglaw[Eq.(3)],whereonceagaintheoptimizedvaluesforftandlchweredeterminedbycurve-?tting.Fig.5showsthedatafromcompressiontestsonnormalstrengthconcrete(Elfahaletal.2004)undervariousstressrates.ThedataisplottedaccordingtoBSELandimpliesanincreasinglylinearelasticresponseforhigherratesofloading.Clearly,thereisasizeeffectforthecompressivestrength,whichampli?eswithanincreaseintherateofloading.InFig.6,thesamedataisdescribedinaccordancewithMFSL.AswithBSEL,heretooanincreaseintherateofloadingleadstoamorepronouncedsizeeffect.However,accordingtoMFSL,anincreaseintheimpactrateleadstoanincreaseinthecharacteristiclength(ductility?)ofthespecimen.Here,itisofinteresttonotethatforlowvelocities(<10m/s),theenergyrequiredtofractureabeamdoesincreasewithanincreaseintheloadingrate.Thishasbeenseennotonlyforplainnormalstrengthconcretebutalsoforhighstrengthconcrete,?ber-reinforcedconcrete,andconventionallyreinforcedconcrete(Banthia1987).Fig.5.SizeeffectinnormalstrengthcylindersElfahaletal.2004asdescribedbyBSELFigs.7and8describethe?exuralresponseofplainconcreteinaccordancewithBSELandMFSL,respectively.Noticeonceagainthat,whilebothmodelspredictanincreaseinthesizeeffectwithanincreaseinthestressrate,thesizeeffectisseentobegreaterforlargersizesinBSEL,whereaswhendescribedbyMFSL,theoppositetrendemerged.BSELwaspostulatedprimarilyfornotchedspecimens.However,fromFigs.5and7,itisclearthatevenforunnotchedspecimens,theimpactresponseisdescribedwellbyBSEL.Here,itshouldbekeptinmindthat,althoughfourdifferentsizesofcylinderswereexamined(Elfahaletal.2004),forsometests,thesmallestcylinder(75×150mm)yieldedresultsinconsistentwiththethreelargerspecimens.TherangeofspecimensizeconsideredinFigs.5–8liesbetween1and8.Insuchasmallrange,ithasbeenshownbeforethatthedatafallswithinthezoneofoverlap
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