中间主应力对金属悬臂梁承载力的影响

INFLUENCE OF INTERMEDIATE PRINCIPAL STRESS ON BEARING CAPACITY OF METALLIC CANTILEVER BEAMS

  • 摘要: 基于双剪统一强度理论使用显式有限差分方法对矩形截面金属悬臂梁承载力的中间主应力影响进行了计算分析。通过分析发现,极限状态下悬臂梁的塑性应变的分布非规则圆扇形,而是接近对称三角形分布。中间主应力对悬臂梁承载能力的影响与梁的厚度有关。平面应力情况的悬臂梁比平面应变的中间主应力影响要低,平面应变情况下中间主应力对金属悬臂梁极限承载力的影响与梁的长度无关,平面应力情况下中间主应力影响随梁长度的增加呈先增大后减小而后趋于恒定的趋势。

     

    Abstract: The influence of the intermediate principal stress on the bearing capacity for a rectangular and metallic cantilever beam was analyzed using the explicit finite difference method and twin shear unified strength theory. The distribution of plastic strain for a cantilever beam under the limit load state is near two symmetry triangles. The influence of the intermediate principal stress on the bearing capacity of a metallic cantilever beam is related to the beam thickness. The influence of the intermediate principal stress on a plane stress beam is lower than that of a plane strain beam. The influence of the intermediate principal stress on the bearing capacity of a plane strain beam is independent of the beam length. The influence of the intermediate principal stress on the bearing capacity of a plane stress beam is increased firstly and decreased secondly with the beam length increased.

     

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