计算力学学报2016，Vol.33Issue(4)：509-515,7.DOI:10.7511/jslx201604014
周期结构后屈曲新算法及其应用
A novel algorithm for post-buckling analysis of periodic structures and its application
摘要
Abstract
In this paper,a novel algorithm is proposed to simulate the post-buckling deformation of perio-dic structures under mechanical loadings.By switching between loading model and corresponding bound-ary condition model to induce the post-buckling deformation,the singularity of stiffness matrix around the buckling point is effectively avoided,and the post-buckling deformation can be triggered,which could eliminate the effect of geometric imperfections introduced by previous post-buckling algorithms.Through simulations of three 2D cellular solids made of hyperelastic materials,the validity and robustness of the new algorithm is verified.The transition among buckling modes through the control of bi-axial loading conditions is also discussed.It is further shown that the dynamic properties of the elastic wave propaga-tion through the periodic structures can be tuned by the control of the post-buckling deformation.关键词
周期结构/孔隙软材料/后屈曲/带隙/弹性波调控Key words
periodic structures/soft cellular solids/post-buckling/band gap/tunability of elastic wave分类
数理科学引用本文复制引用
黄屹澜,高楠,鲍荣浩,陈伟球..周期结构后屈曲新算法及其应用[J].计算力学学报,2016,33(4):509-515,7.基金项目
国家自然科学基金(11321202,11272281,11532001) （11321202,11272281,11532001）
爆炸科学与技术国家重点实验室(北京理工大学)开放课题(KFJJ15-16M) （北京理工大学）
