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基于彈性有限元的虛擬加載上限分析方法

發(fā)布時(shí)間:2018-04-19 10:41

  本文選題:虛擬加載方法 + 荷載 ; 參考:《巖土工程學(xué)報(bào)》2016年12期


【摘要】:構(gòu)造連續(xù)相容的塑性變形場(chǎng)是MSD法的關(guān)鍵所在,但塑性變形場(chǎng)難以構(gòu)造并且無(wú)普遍適用的構(gòu)造方法。本文通過(guò)彈性有限元實(shí)現(xiàn)了虛擬加載上限法,真正解決了MSD類(lèi)方法變形場(chǎng)構(gòu)造困難的問(wèn)題。其可同時(shí)獲得給定位移下的荷載及相應(yīng)的速度場(chǎng),并將傳統(tǒng)塑性上限分析中耗時(shí)的最優(yōu)化分析等效為迭代計(jì)算。應(yīng)用彈性有限元虛擬加載上限法分析了二維水平受荷樁、條形基礎(chǔ)及條形錨板這3個(gè)土力學(xué)的經(jīng)典問(wèn)題,其獲得的荷載 位移曲線和彈塑性有限元分析結(jié)果一致,并且其極限承載力逼近公認(rèn)的塑性解,驗(yàn)證了本文方法分析整個(gè)加載過(guò)程的有效性。通過(guò)分析加載過(guò)程中的速度場(chǎng),發(fā)現(xiàn)本文方法都是從同一初始速度場(chǎng)開(kāi)始隨迭代逐漸演化,在極限位移加載量下迭代收斂后獲得的速度場(chǎng)和最優(yōu)塑性破壞機(jī)構(gòu)相似。本文方法可用于研究一些塑性速度場(chǎng)難以構(gòu)造的復(fù)雜問(wèn)題。
[Abstract]:The key point of the MSD method is to construct a continuous consistent plastic deformation field, but the plastic deformation field is difficult to construct and there is no universally applicable construction method.In this paper, the virtual loading upper bound method is realized by means of elastic finite element method, and the problem of constructing deformation field of MSD class method is solved.The load and velocity field under given displacement can be obtained at the same time, and the time-consuming optimization analysis in the traditional plastic upper bound analysis is equivalent to iterative calculation.The elastic finite element virtual loading upper bound method is used to analyze the classical problems of two dimensional horizontal loaded pile, strip foundation and strip anchor plate. The obtained load and displacement curves are consistent with the results of elastoplastic finite element analysis.And its ultimate bearing capacity approximates the accepted plastic solution, which verifies the effectiveness of the method in analyzing the whole loading process.By analyzing the velocity field in the loading process, it is found that all the methods in this paper evolve gradually with the iteration from the same initial velocity field, and the velocity field obtained by iterative convergence under the limit displacement loading is similar to the optimal plastic failure mechanism.The method in this paper can be used to study some complicated problems which are difficult to construct the plastic velocity field.
【作者單位】: 同濟(jì)大學(xué)地下建筑與工程系;同濟(jì)大學(xué)巖土及地下工程教育部重點(diǎn)實(shí)驗(yàn)室;
【基金】:國(guó)家重點(diǎn)基礎(chǔ)研究發(fā)展計(jì)劃(“973”計(jì)劃)課題(2013CB036304) 國(guó)家自然科學(xué)基金項(xiàng)目(51579177)
【分類(lèi)號(hào)】:TU470

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相關(guān)期刊論文 前1條

1 吳凱華;;變應(yīng)力(變)下巖土工程粘彈性有限元模型[J];工程兵工程學(xué)院學(xué)報(bào);1987年01期



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