INVESTIGATION OF NONLINEAR BUCKLING BEHAVIOR OF COMPOSITE SANDWICH PLATES WITH INTERFACIAL DELAMINATION AND MATRIX MICRO-CRACKS
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摘要: 本文作者基于"zig-zag"模型和Mindlin一阶剪切变形板理论,推导了复合材料夹层板屈曲分析的有限元列式,在该列式中考虑了面板的横向剪切变形和芯体的面内刚度对夹层板力学性能的影响。针对具有面板和芯体间界面脱粘和纤维增强树脂基体微裂纹损伤的夹层板损伤特征,分别提出了分层模型和多标量损伤模型,并推导了多标量形式的损伤本构关系。采用修正的 Newton-Raphson迭代格式求解含损复合材料夹层板的非线性稳定性性状。通过算例研究了脱粘面积、基体的损伤演化、表板的铺设方式及载荷形式对复合材料夹层板屈曲性态的影响。本文作者给出的有限元模型和结论,对复合材料夹层板结构设计的损伤容限的制定具有一定的参考价值。Abstract: Based on the zig-zag deformation model and first order shear strain effect laminated plate theory, a nonlinear buckling finite-element method of the composite sandwich plates is proposed, which contains both interfacial delamination and matrix micro-cracks damages. Furthermore, the transverse shear properties of the faces and the in-plane stiffness of the core are also taken into account. Furthermore, a delamination model and a multi-scalar damage model have been established, respectively. Because of the material properties of the face being degraded with the matrix micro-cracks propagation, the incremental constitutive equations are derived, and a modified Newton-Raphson incremental-iterative method is employed during the numerical calculation procedure. According to the models and analysis method provided by the authors, a nonlinear finite-element code has been developed. Some numerical examples are given for investigation of the effect of sizes of delamination and matrix micro-cracks, ply angles of the faces, and load cases upon the buckling behavior of the damaged composite sandwich plates. The numerical method and conclusions would be useful for the engineers of sandwich composite structures.
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