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首页> 外文期刊>Composite Structures >3D thermomechanical buckling analysis of perforated annular sector plates with multiaxial material heterogeneities based on curved B-spline elements
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3D thermomechanical buckling analysis of perforated annular sector plates with multiaxial material heterogeneities based on curved B-spline elements

机译：基于弯曲B样条元素的多轴材料异质性多孔环形扇形板的3D热力学屈曲分析

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摘要

In the present paper, thermomechanical buckling of perforated functionally graded annular sector plates under uniform temperature rises and radial, circumferential or biaxial mechanical loads are investigated. Furthermore, effects of the circular cutouts on the buckling strength and deformation pattern are studied. Influence of the heterogeneity of material of the FGM sector in radial, circumferential, and transverse directions on the thermomechanical buckling is investigated for plates without or with one or two holes. Governing equations are derived based on the 3D energy-based theory of elasticity and buckling occurrence is detected by Treftz instability criterion. A novel curved 3D B-splined C-2-continuous element is proposed to trace the inter-element variations of the displacements and stresses and model the geometric discontinuities (cutouts). A proper algorithm is also proposed to relate events of the original cylindrical coordinates to those of the natural coordinates and vice versa. Instead of using the common von Karman assumptions, the most general form of the strain tensor in curvilinear coordinates is used. Finally, effects of the sector dimensions, size and orientation of the cutout, heterogeneity direction, direction of the mechanical loads and the combination of the thermal and mechanical loads on the buckling loads and mode shapes are investigated.
机译：在本文中，研究了在均匀温度升高和径向，周向或双轴机械载荷作用下穿孔的功能梯度环形扇形板的热机械屈曲。此外，研究了圆形切口对屈曲强度和变形模式的影响。对于没有或有一个或两个孔的板，研究了FGM扇形材料在径向，周向和横向上的异质性对热机械屈曲的影响。基于基于3D能量的弹性理论导出控制方程，并根据Treftz不稳定性准则检测屈曲发生。提出了一种新颖的3D B样条曲线C-2连续元素，以跟踪位移和应力的元素间变化并为几何不连续性（切口）建模。还提出了一种适当的算法，将原始圆柱坐标的事件与自然坐标的事件相关，反之亦然。代替使用通用的von Karman假设，使用曲线坐标中应变张量的最通用形式。最后，研究了扇形尺寸，切口尺寸和方向，异质性方向，机械载荷的方向以及热载荷和机械载荷的组合对屈曲载荷和模态形状的影响。

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