水平集坐標(biāo)的二維節(jié)理動態(tài)擴(kuò)展過程無網(wǎng)格法模擬(已修改)
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【正文】 基于水平集坐標(biāo)地二維節(jié)理動態(tài)擴(kuò)展過程無網(wǎng)格法模擬莊曉瑩1,2,黃潤秋3,朱合華1,2(1. 同濟(jì)大學(xué) 巖土及地下工程教育部重點(diǎn)實(shí)驗(yàn)室, 上海 200092；2. 同濟(jì)大學(xué) 地下建筑與工程系, 上海 200092；b5E2RGbCAP3. 成都理工大學(xué) 地質(zhì)災(zāi)害防治與地質(zhì)環(huán)境保護(hù)國家重點(diǎn)實(shí)驗(yàn)室, 成都）摘要：本文發(fā)展了模擬巖體節(jié)理張開和閉合力學(xué)行為地?zé)o網(wǎng)格法近似函數(shù)構(gòu)造方法,采用水平集坐標(biāo)描述二維節(jié)理幾何信息,沿任意幾何形狀節(jié)理兩側(cè)布置跳躍結(jié)點(diǎn),發(fā)展了類似于Goodman接觸摩擦單元地?zé)o網(wǎng)格函數(shù)構(gòu)造方法,本文構(gòu)造方法基于材料點(diǎn)而非結(jié)點(diǎn),應(yīng)用本文方法對二維節(jié)理受拉、節(jié)理受壓地靜態(tài)和動態(tài)破裂擴(kuò)展過程做了分析,關(guān)鍵詞：巖石力學(xué)；節(jié)理擴(kuò)展；無網(wǎng)格法；節(jié)理閉合；水平集；接觸摩擦；中圖分類號：O 文獻(xiàn)標(biāo)識碼：A 文章編號：1000–6915(200501–0001–02DXDiTa9E3dMODELLING 2D JOINT PROPAGTION IN ROCK USING THE MESHLESS METHODS AND LEVEL SETSRTCrpUDGiTZHUANG Xiaoying1,2 HUANG Runqiu3 ZHU Hehua1,2(1. Key Laboratory of Geotechnical Engineering of China Ministry of Education, Tongji University, Shanghai 200092, China。5PCzVD7HxA2. Department of Geotechnical Engineering, TongjiUniversity, Shanghai 200092, China。jLBHrnAILg3. State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, ChengduUniversity of Technology, Chengdu, ChinaxHAQX74J0XAbstract：In this paper, the meshless method, elementfree Galerkin method is used to model 2D crack propagation in jointed rock mass where the level set method is used to describe the crack geometry. To capture the displacement jump across the joint when the join is open, the diffraction rule is used to modify the weight function, and hence construction of the discontinuous meshless approximation. The joint closure is modeled by a new meshless approximation, which is similar to the well known Goodman element in the family of finite elements to model the sliding and contact between joint surfaces. Different from Goodman element, the construction of stiffness matrix is based on material points instead of nodes and thereby is more flexible to deal with joint of plex geometry. Test examples are tested to modelthe crack propagation in rock samplessubjected to pression and tension showing the correctness of the Key words：rock mechanics。 joint propagation。 meshless methods。joint closure。 level sets。 contact and friction。Zzz6ZB2Ltk1 引 言巖體穩(wěn)定性分析一直是巖土工程領(lǐng)域地重要研究課題,而其中最關(guān)鍵地問題之一就是節(jié)理面擴(kuò)展貫通地機(jī)理和模擬方法地研究,因?yàn)楣?jié)理面地存在和發(fā)展控制著巖體地整體強(qiáng)度、變形和穩(wěn)定性,針對節(jié)理巖體破壞機(jī)理和等效力學(xué)模型,國內(nèi)外學(xué)者從實(shí)驗(yàn)和解讀角度出發(fā)做了大量研究,如Lajtai [1]根據(jù)剪切實(shí)驗(yàn)提出了巖體剪切破壞、張拉破壞和擠壓破壞模式和節(jié)理巖體強(qiáng)度準(zhǔn)則,Oslen[2]討論了節(jié)理巖體脆性斷裂模式與邊界條件關(guān)系,李術(shù)才等[3]研究了巖石斷裂面壓剪脆性破壞條件, 周小平等[4]采用 DugdaleBarenblatt 模型分析了斷續(xù)節(jié)理地
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