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Finite element model with continuous transverse shear stress for composite laminates in cylindrical bending

机译:复合材料层合板圆柱弯曲的连续横向剪应力有限元模型

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In the double superposition hypothesis, the global in plane displacement, which applies to the whole laminate, is enriched by local displacements which are restricted to each individual ply. To avoid the number of d.o.f.s. growing with the number of plies, the transverse shear stress continuity is enforced as usual whereas the inplane displacement continuity is "double" constrained for two different groups of the local displacement. Based on hypothesis, a two-node beam element is attempted. The element has the deflection and its derivative as its nodal d.o.f.s. despite the fact that interpolated deflection is a cubic function of the longitudinal coordinate, the element yields poor accuracy.
机译:在双重叠加假设中,适用于整个层压板的整体平面位移通过限制于每个单独层的局部位移而得到丰富。为了避免出现d.o.f.s.随着层数的增加,横向剪应力的连续性将照常执行,而平面内位移的连续性则受到两组局部位移的“双重”约束。基于该假设,尝试了两节点梁单元。该单元的挠度及其导数作为其节点d.o.f.s.尽管插值挠度是纵坐标的三次函数,但该单元的精度仍然很差。

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