本文關(guān)鍵詞：基于近場(chǎng)動(dòng)力學(xué)方法的結(jié)構(gòu)準(zhǔn)靜態(tài)變形的定量計(jì)算　出處：《重慶大學(xué)學(xué)報(bào)》2016年05期 　論文類型：期刊論文

  更多相關(guān)文章： 近場(chǎng)動(dòng)力學(xué) 準(zhǔn)靜態(tài) 彈性變形 數(shù)值模擬 定量計(jì)算

【摘要】：近場(chǎng)動(dòng)力學(xué)(Peridynamics,PD)是一種新興的基于非局部模型描述材料特性的數(shù)值計(jì)算方法。該方法假定位于連續(xù)體內(nèi)的粒子通過有限的距離與其他粒子相互作用,通過積分計(jì)算在一定近場(chǎng)范圍(horizon)內(nèi)具有一定影響域的材料點(diǎn)之間的相互作用力,而不論位移場(chǎng)的連續(xù)與否,避免了傳統(tǒng)的局部微分方程求解在面臨不連續(xù)問題時(shí)的奇異性和現(xiàn)有多尺度算法的復(fù)雜性。在近場(chǎng)動(dòng)力學(xué)理論框架下,考慮近場(chǎng)范圍尺寸對(duì)本構(gòu)力函數(shù)的影響,構(gòu)造了二次多項(xiàng)式型本構(gòu)力核函數(shù),對(duì)反映物質(zhì)點(diǎn)長(zhǎng)程力基本特性的本構(gòu)力函數(shù)進(jìn)行改進(jìn)。通過引入人工阻尼、構(gòu)建分級(jí)加載算法和系統(tǒng)失衡判斷準(zhǔn)則,使近場(chǎng)動(dòng)力學(xué)方法能適用于定量的準(zhǔn)靜態(tài)變形的計(jì)算分析。
[Abstract]:Near field dynamics. PDA is a new numerical method for describing material properties based on nonlocal models, which assumes that particles in the continuum interact with other particles at a limited distance. The interaction between material points with a certain influence domain is calculated by integral, regardless of whether the displacement field is continuous or not. The singularity of the traditional local differential equations and the complexity of the existing multi-scale algorithms are avoided. In the framework of the near-field dynamics theory, the influence of the size of the near-field range on the constitutive force function is considered. The quadratic polynomial constitutive force kernel function is constructed to improve the constitutive force function which reflects the basic characteristics of the long distance force of the material point. By introducing artificial damping, the hierarchical loading algorithm and the judgement criterion of system imbalance are constructed. The near field dynamic method can be applied to the quantitative analysis of quasi static deformation.
【作者單位】： 蘇州科技大學(xué)土木工程學(xué)院;河海大學(xué)工程力學(xué)系;
【基金】：國(guó)家自然科學(xué)基金資助項(xiàng)目(11372099,11672101,11132003,51679077) 江蘇省自然科學(xué)基金資助項(xiàng)目(BK20151493) 中央高校基本科研業(yè)務(wù)費(fèi)資助項(xiàng)目(2015B18314) 蘇州科技學(xué)院科研基金資助項(xiàng)目(XKQ201509)~~
【分類號(hào)】：O313
【正文快照】： Supported by National Nature Science Foundation of China(11372099,11672101,11132003,51679077),theNature Science Foundation of Jiangsu Province(BK20151493),the Foundamental Research Funds for theCentral Universities(2015B18314);the Scientific Research Fou

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