基于分层匀质化的砌体等效弹性模量的计算方法
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摘要
以分层匀质化理论为基础,提出了一种计算多代表层结构各向等效弹性模量的数值方法,该方法考虑了砌体结构中组分尺寸的影响因素,适用于各类在平面内具有分层特征的砌体,如藏式古建石砌体。以一种已知材料参数的砖墙,和两种石砌棱柱体的抗压试验结果为案例,对分层匀质化计算方法进行了验证,结果表明,计算结果与试验结果吻合较好。获得了藏式古建石砌体的各向等效弹性模量,为藏式古建石砌体性能研究提供了基础资料。
Based on the theory of stratified homogenization,a numerical method to obtain equivalent elastic modulus of masonry consisting of a series of represent layers was proposed.The method,which takes into account the influence factors of unitssizes,can be applied to various types of masonry with stratified features,including Tibetan historical masonry.An brick masonry consisting of specific bricks and mortar,and compressive test results of two groups of stacked stone prisms were taken as examples,the elastic modulus obtained by the proposed method is close to the testing results.Equivalent elastic modulus of the Tibetan historical stone masonry was obtained,which paves the was for the study of the behaviors of Tibetan historical stone masonry.
Based on the theory of stratified homogenization,a numerical method to obtain equivalent elastic modulus of masonry consisting of a series of represent layers was proposed.The method,which takes into account the influence factors of unitssizes,can be applied to various types of masonry with stratified features,including Tibetan historical masonry.An brick masonry consisting of specific bricks and mortar,and compressive test results of two groups of stacked stone prisms were taken as examples,the elastic modulus obtained by the proposed method is close to the testing results.Equivalent elastic modulus of the Tibetan historical stone masonry was obtained,which paves the was for the study of the behaviors of Tibetan historical stone masonry.
引文
[1]GB 50003-2011.砌体结构设计规范[S].
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[10]刘振宇,叶燎原,潘文.等效体积单元(RVE)在砌体有限元分析中的应用[J].工程力学,2003,20(2):31-35.Liu Zhen-yu,Ye Liao-yuan,Pan Wen.Application of representative volume element to the finite element analysis of masonry structures[J].Engineering Mechanics,2003,20(2):31-35.
[11]倪玉双,杨伟军,蒋耀华,等.砌体弹性模量取值的研究[J].四川建筑科学研究,2013,39(1):23-26.Ni Yu-shuang,Yang Wei-jun,Jiang Yao-hua,et al.Analyses of the elastic modulus values of masonry[J].Building Science Research of Sichuan,2013,39(1):23-26.
[12]梁建国,洪丽,肖逸夫,等.砖和砂浆的本构关系试验研究[C]∥全国砌体结构领域基本理论与工程应用学术会议.杭州:浙江大学出版社,2012:155-164.Liang Jian-guo,Hong Li,Xiao Yi-fu,et al.Experimental research of stress-strain relationship on brick and mortar[C]∥Basic Theory and Engineering Application of Masonry Structure.Hangzhou:Zhejiang University Press,2012:155-164.
[2]刘桂秋,施楚贤,刘一彪.砌体及砌体材料弹性模量取值的研究[J].湖南大学学报:自然科学版,2008,35(4):29-32.Liu Gui-qiu,Shi Chu-xian,Liu Yi-biao.Analyses of the elastic modulus values of masonry[J].Journal of Hunan University(Natural Sciences),2008,35(4):29-32.
[3]陈茂义.料石砌体试验研究[J].建筑结构,1981(4):31-37.Chen Mao-yi.Experimental study on stone masonry[J].Building Structures,1981(4):31-37.
[4]Vasconcelos G,Louren9o P B.Experimental characterization of stone masonry in shear and compression[J].Construction&Building Materials,2009,23(11):3337-3345.
[5]Pinho F F S,Lúcio V J G,Bai2o M F C.Experimental analysis of rubble stone masonry walls strengthened by transverse confinement under compression and compression-shear loadings[J].International Journal of Architectural Heritage,2018,12(1):91-113.
[6]Almeida C,Guedes J P,Arêde A,et al.Physical characterization and compression tests of one leaf stone masonry walls[J].Construction&Building Materials,2012,30(3340):188-197.
[7]Pande G N,Liang J X,Middleton J.Equivalent elastic moduli for brick masonry[J].Computers&Geotechnics,1989,8(3):243-265.
[8]Pietruszczak S.A mathematical description of macroscoptic behavior of unit masonry[J].International Journal of Solids&Structures,1992,29(5):531-546.
[9]Lee J S,Pande G N,Kralj B.A comparative study on the approximate analysis of masonry structures[J].Materials and Structures,1998,31(7):473-479.
[10]刘振宇,叶燎原,潘文.等效体积单元(RVE)在砌体有限元分析中的应用[J].工程力学,2003,20(2):31-35.Liu Zhen-yu,Ye Liao-yuan,Pan Wen.Application of representative volume element to the finite element analysis of masonry structures[J].Engineering Mechanics,2003,20(2):31-35.
[11]倪玉双,杨伟军,蒋耀华,等.砌体弹性模量取值的研究[J].四川建筑科学研究,2013,39(1):23-26.Ni Yu-shuang,Yang Wei-jun,Jiang Yao-hua,et al.Analyses of the elastic modulus values of masonry[J].Building Science Research of Sichuan,2013,39(1):23-26.
[12]梁建国,洪丽,肖逸夫,等.砖和砂浆的本构关系试验研究[C]∥全国砌体结构领域基本理论与工程应用学术会议.杭州:浙江大学出版社,2012:155-164.Liang Jian-guo,Hong Li,Xiao Yi-fu,et al.Experimental research of stress-strain relationship on brick and mortar[C]∥Basic Theory and Engineering Application of Masonry Structure.Hangzhou:Zhejiang University Press,2012:155-164.