A novel algorithm for post-buckling analysis of periodic structures and its application
Received:May 16, 2016  Revised:June 16, 2016
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DOI:10.7511/jslx201604014
KeyWord:periodic structures  soft cellular solids  post-buckling  band gap  tunability of elastic wave
           
AuthorInstitution
黄屹澜 浙江大学 工程力学系, 杭州
高楠 西南交通大学 力学与工程学院, 成都
鲍荣浩 浙江大学 工程力学系, 杭州 ;浙江省 软体机器人与智能器件研究重点实验室, 杭州 ;浙江大学 软物质科学研究中心SMRC, 杭州
陈伟球 浙江大学 工程力学系, 杭州 ;浙江省 软体机器人与智能器件研究重点实验室, 杭州 ;浙江大学 软物质科学研究中心SMRC, 杭州
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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 boundary 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 propagation through the periodic structures can be tuned by the control of the post-buckling deformation.