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首页> 外文期刊>Journal of Sandwich Structures and Materials >Improved extended high order analysis of sandwich beams with a bilinear core shear behavior
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Improved extended high order analysis of sandwich beams with a bilinear core shear behavior

机译：具有双线性芯剪切特性的夹层梁的改进扩展高阶分析

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The response of a sandwich panel with bilinear constitutive behavior for shear stress of a core is presented based on a proposed improved extended high order sandwich panel theory. In this theory the face sheets are analyzed based on the first order shear deformation theory that is hitherto not applied in the conventional extended high order sandwich panel theory. Besides, the two-dimensional (2D) elasticity is used for the core. The field equations are derived using the Ritz-based solution which is suitable for any essential boundary condition. In each type of boundary conditions, the effects of plastic shear modulus of the core on transverse shear stress distribution within the core, transverse normal stresses at top and bottom face sheet-core interfaces, displacement components through the thickness of the core, as well as the force and moment resultants and transverse displacements in the face sheets are studied in detail. Also, all results based on the bilinear material assumption of the core are compared with the linear elastic ones. The results reveal that initial plastic regions are created at core edges. Furthermore, the absolute value of shear stresses in the plastic zones based on the bilinear analysis is lower than those obtained from linear elastic one for both types of the boundary conditions. It is seen that, unlike the case of the clamped edges, the plastic regions predicted by bilinear material behavior are much more extensive than ones resulted from elastic material behavior in the simply supported case. Finally, in the case of the linear elastic analysis, the results of the transverse deflections and shear stresses are compared with finite element simulation.
机译：基于提出的改进的扩展高阶夹心板理论，提出了具有双线性本构行为的夹心板对岩心切应力的响应。在该理论中，基于迄今为止尚未在常规扩展高阶夹心板理论中应用的一阶剪切变形理论来分析面板。此外，芯体使用二维（2D）弹性。使用适用于任何基本边界条件的基于Ritz的解决方案导出场方程。在每种类型的边界条件下，岩心的塑性剪切模量对岩心内的横向剪切应力分布，顶面和底面岩心的横向法向应力，沿岩心厚度的位移分量以及详细研究了面板上的力和力矩合力以及横向位移。同样，将基于双线性材料核假设的所有结果与线性弹性结果进行比较。结果表明，最初的塑性区域是在核心边缘创建的。此外，基于双线性分析的塑性区中的剪切应力的绝对值低于从两种边界条件的线性弹性一获得的值。可以看出，与夹紧边缘的情况不同，由双线性材料行为预测的塑性区域比在简单支撑的情况下由弹性材料行为导致的塑性区域要宽得多。最后，在线性弹性分析的情况下，将横向挠度和切应力的结果与有限元模拟进行比较。

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