Development of new improved plastic collapse moment equations of pressurized different angled pipe bends under bending moments

Manish Kumar, Amrendra Kumar, Ajitesh Kumar, Amit Kumar, Devendra Kamble
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Abstract

In a piping system, pipe bends are more flexible than straight pipes because of their curved geometry, supplemented by higher stress and strain concentration, leading to one of the crucial components in piping industries. Therefore, safe design of pipe bends is essential for smooth running of the piping system, and plastic collapse moment is one of its criteria. This paper utilizes three-dimensional finite element analyses to model empirical solutions for the plastic collapse moment for different angled pipe bends subjected to combined pressure and in-plane closing, in-plane opening, and out-of-plane bending moments. Plastic collapse moments for 30∘ to 180∘ pipe bends are determined for elastic perfectly plastic and strain hardening materials, employing large geometry change option and internal pressure effect. It is observed from results that pressure effect is more prominent in thinner pipe bends of larger bend angle under all bending cases. For in-plane opening and out-of-plane bending moments, collapse moment increases and then decreases with increase in pressure intensity for all sizes of pipe bend. However, for in-plane opening bending moment, collapse moments keep on decreasing for thicker ([Formula: see text] = 11.33) pipe bends. Finally, the study presents new improved plastic collapse moment solutions for different angled pipe bends under bending moment and internal pressure, derived from the finite element results of elastic perfectly plastic and strain hardening material models.
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开发新的受压不同角度弯管在弯矩作用下的改进塑性塌缩力矩方程
在管道系统中,弯管因其弯曲的几何形状而比直管更灵活,再加上应力和应变集中度更高,因此成为管道行业中的关键部件之一。因此,弯管的安全设计对管道系统的平稳运行至关重要,而塑性塌缩力矩是其标准之一。本文利用三维有限元分析来模拟不同角度弯管在受到联合压力和平面内闭合力矩、平面内张开力矩以及平面外弯矩作用下的塑性塌缩力矩的经验解。采用大几何变化选项和内部压力效应,确定了弹性完全塑性材料和应变硬化材料在 30∘ 至 180∘ 弯管中的塑性坍塌力矩。结果表明,在所有弯曲情况下,压力效应在弯曲角度较大的较薄弯管中更为突出。对于所有尺寸的弯管,平面内开口弯矩和平面外弯矩都会随着压力强度的增加而增大,然后减小。然而,对于平面内开口弯矩,较厚([计算公式:见正文] = 11.33)弯管的崩溃力矩不断减小。最后,本研究根据弹性完全塑性材料模型和应变硬化材料模型的有限元结果,提出了不同角度弯管在弯矩和内压作用下的新的改进塑性坍塌力矩解决方案。
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