Buckling and postbuckling of stiff lamellae in a compliant matrix
Buckling and postbuckling of stiff lamellae in a compliant matrix
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DOI：
10.1016/j.compscitech.2014.05.015
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发表时间：
2014-07
影响因子：
9.1
通讯作者：
Wei-Hua Xie;Xiao Huang;Yanping Cao;Bo Li;Xi-Qiao Feng
中科院分区：
文献类型：
--
作者：
Wei-Hua Xie;Xiao Huang;Yanping Cao;Bo Li;Xi-Qiao Feng
本文通过理论分析和数值模拟，研究了刚性层合板在单轴压缩载荷作用下的屈曲和后屈曲行为。首先，推导了夹在两个不同的软层之间的刚性层的临界压缩应变和褶皱波长的解析解，其中考虑了界面剪应力和基体厚度的影响。在后屈曲过程中，系统可能保持正弦屈曲形态，也可能分叉成倍周期形态。建立了相图，这使我们能够很容易地预测形态的演变从系统的几何和材料参数。然后将上述分析推广到柔性矩阵内的两个或多个平行刚性层合板。在这种多层系统中发现了不同的屈曲模式，即，短波模式、长波模式和分级模式。这一研究不仅有助于了解细胞片层复合物和结构的稳定性和形态演化，而且有助于理解某些生物组织的形态发生。
Theoretical analysis and numerical simulations are performed to investigate the buckling and postbuckling behaviors of stiff lamellae embedded in a compliant matrix under uniaxial compression. First, the analytical solution is derived for the critical compressive strain and wrinkle wavelength of a stiff layer sandwiched between two different soft layers, in which the effects of interfacial shear stresses and matrix thicknesses have been taken into account. During postbuckling, the system may keep the sinusoidal buckling shape or bifurcate into period-doubling morphology. A phase diagram is established, which enables us to easily predict the morphological evolution from the geometric and material parameters of the system. Then the above analysis is extended to two or more parallel stiff lamellae within a compliant matrix. Different buckling modes are found in such multilayer systems, i.e., short-wave mode, long-wave mode, and hierarchical mode. This study not only sheds light on the stability and morphological evolution of lamella composites and structures but also helps understand the morphogenesis of some biological tissues.