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Zig-Zag Sublaminate Finite Element Model for Laminated Composite and Sandwich Structures

机译:复合材料和夹层结构的Zig-Zag层状有限元模型

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A laminated plate theory with first-order zig-zag sublaminate approximations is proposed. The inplane displacement fields in each sublaminate are assumed to be piecewise linear functions and vary in a zig-zag fashion through the thickness of the sublaminate. The zig-zag functions are obtained by satisfying the continuity of transverse shear stresses at layer interfaces. This in-plane displacement field assumption accounts for discrete layer effects without increasing the number of degrees of freedom as the number of layers is increased. The transverse normal strain predictions are improved by assuming a constant variation of transverse normal stress in each sublaminate. In the computational model, each finite element represents one sublaminate. The finite element is developed with the topology of an eight-noded brick, allowing the thckness of the plate to be discretized into several elements, or sublaminates, where each sublaminate can contain more than one physical layer. Each node has five engineering degrees of freedom, three translations and two rotations. Thus, this element can be conveniently implemented into general purpose finite element codes. The element stiffness coefficients are integrated exactly, yet the element exhibits no shear locking due to the use of an interdependent interpolation scheme and consistent shear strain fields. Numerical performance of the current element is investigated for a composite armored vehicle panel and a sandwich panel with low and high aspect ratios. Comparison of numerical results with elasticity solutions shows that the element is very accurate and robust.
机译:提出了具有一阶之字形次叠层近似的叠层板理论。假定每个子叠层中的面内位移场是分段线性函数,并且在整个子叠层的厚度中呈之字形变化。之字形函数是通过满足层界面处的横向剪应力的连续性而获得的。该平面内位移场假设考虑了离散的层效应,而没有随着层数的增加而增加自由度的数目。通过假定每个子叠层中横向法向应力的恒定变化,可以改善横向法向应变的预测。在计算模型中,每个有限元代表一个子层。有限元是使用八节点砖的拓扑结构开发的,从而可以将板的厚度离散为几个元素或子叠层,其中每个子叠层可以包含多个物理层。每个节点具有五个工程自由度,三个平移和两个旋转。因此,该元件可以方便地实现为通用有限元代码。单元刚度系数已精确积分,但是由于使用了相互依赖的插值方案和一致的剪切应变场,因此单元没有剪切锁定。研究了低和高纵横比的复合装甲车辆面板和夹芯板的当前要素的数值性能。数值结果与弹性解的比较表明,该单元非常精确且坚固。

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