蒋宇洪, 杨娜, 白凡. 基于RVE单元的藏式古建石砌体均质化研究[J]. 工程力学, 2020, 37(7): 110-124. DOI: 10.6052/j.issn.1000-4750.2019.08.0461
引用本文: 蒋宇洪, 杨娜, 白凡. 基于RVE单元的藏式古建石砌体均质化研究[J]. 工程力学, 2020, 37(7): 110-124. DOI: 10.6052/j.issn.1000-4750.2019.08.0461
JIANG Yu-hong, YANG Na, BAI Fan. RESEARCH ON THE HOMOGENIZATION OF TIBETAN ANCIENT STONE MASONRY BASED ON RVE ELEMENTS[J]. Engineering Mechanics, 2020, 37(7): 110-124. DOI: 10.6052/j.issn.1000-4750.2019.08.0461
Citation: JIANG Yu-hong, YANG Na, BAI Fan. RESEARCH ON THE HOMOGENIZATION OF TIBETAN ANCIENT STONE MASONRY BASED ON RVE ELEMENTS[J]. Engineering Mechanics, 2020, 37(7): 110-124. DOI: 10.6052/j.issn.1000-4750.2019.08.0461

基于RVE单元的藏式古建石砌体均质化研究

RESEARCH ON THE HOMOGENIZATION OF TIBETAN ANCIENT STONE MASONRY BASED ON RVE ELEMENTS

  • 摘要: 在普通砖石砌体结构方面的均质化研究已经较为完善,而在构造、材料存在随机性的古建筑砌体结构方面的均质化研究相对欠缺。该文以有限尺度测试窗法为基础,提出了一种选择砌体结构代表性体积单元(RVE单元)的方法,并与试验和传统有限元模拟结果对比,验证了所提方法的可行性。在此基础上,该文进行了藏式古建石砌体结构RVE单元的选择,探讨了RVE单元的尺寸大小和所包含的组元分布对等效模量的影响,并基于所选RVE单元建立了藏式石砌体结构的均质化模型和整体式模型。结果表明:该选择方法适用于周期性和准周期性砌体结构,能选出与完整结构力学性能接近的RVE单元。随着RVE单元尺寸变大,其Voigt、Reuss等效模量会逐渐向完整结构的模量收敛,呈现先快后慢的变化趋势;组元分布的不同会改变等效模量的收敛程度,但在较大尺寸的RVE单元上,组元分布的影响将被体积造成的影响抵消。该文所建均质化模型能代替传统有限元模型进行局部结构的分析,并给出藏式古建石砌体结构的应力分布规律;所建整体模型能代替传统有限元模型,较为精确模拟结构整体的宏观变形。

     

    Abstract: The research on homogenization of ordinary masonry has been relatively developed, but the research on historical masonry with random geometry and material is lacking. Based on the method of finite-scale test windows, a method for selecting a representative volume element (RVE) of masonry structures is proposed and is proved to be correct by comparisons with the results of published experiments and conventional finite element models (FEM). An appropriate RVE for Tibetan ancient stone masonry structures is selected. The influence of the size of RVEs and the distribution of components on the effective modulus are investigated. Based on the selected RVE, a homogenization model and a macro model of the Tibetan stone masonry structure are established. The results indicate that the selecting method, which is suitable for periodic and quasi-periodic masonry structures, can select an RVE with the mechanical properties close to the complete structure. As the size of the RVE becomes larger, its Voigt and Reuss effective modulus gradually converge to the modulus of the complete structure and present a trend of rapid and slow progresses. The difference in the component distribution will change the convergence amplitude of the effective modulus, but on a larger RVE, the influence of the component distribution will be offset by that of the size of the RVE. The homogeneous model can replace the conventional FEM to analyze local structures and give the rule of the stress distribution of Tibetan ancient stone masonry structures. The macro model can replace the conventional FEM to simulate the macro deformation of an overall structure.

     

/

返回文章
返回