基于近场动力学方法的结构准静态变形的定量计算

发布时间：2018-01-18 13:01

本文关键词：基于近场动力学方法的结构准静态变形的定量计算　出处：《重庆大学学报》2016年05期 　论文类型：期刊论文

【摘要】：近场动力学(Peridynamics,PD)是一种新兴的基于非局部模型描述材料特性的数值计算方法。该方法假定位于连续体内的粒子通过有限的距离与其他粒子相互作用,通过积分计算在一定近场范围(horizon)内具有一定影响域的材料点之间的相互作用力,而不论位移场的连续与否,避免了传统的局部微分方程求解在面临不连续问题时的奇异性和现有多尺度算法的复杂性。在近场动力学理论框架下,考虑近场范围尺寸对本构力函数的影响,构造了二次多项式型本构力核函数,对反映物质点长程力基本特性的本构力函数进行改进。通过引入人工阻尼、构建分级加载算法和系统失衡判断准则,使近场动力学方法能适用于定量的准静态变形的计算分析。
[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.
【作者单位】：苏州科技大学土木工程学院;河海大学工程力学系;
【基金】：国家自然科学基金资助项目(11372099,11672101,11132003,51679077) 江苏省自然科学基金资助项目(BK20151493) 中央高校基本科研业务费资助项目(2015B18314) 苏州科技学院科研基金资助项目(XKQ201509)~~
【分类号】：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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