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Finite Element Analysis of V-Bending of Polypropylene Using Hydrostatic-Pressure-Dependent plastic Constitutive Equation

机译：静压相关塑性本构方程对聚丙烯V形弯曲的有限元分析

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摘要

In the present paper, V-bending of polypropylene (PP) is analyzed by the finite element method using a plastic constitutive equation for hydrostatic-pressure-dependent polymers proposed by one of the present authors. The yield surface is expressed by the first and second invariants of stress to describe the hydrostatic-pressure dependence. A plastic potential that is different from the yield surface is employed to describe the incompressibility of polymeric materials. Isotropic hardening is assumed. The proposed constitutive equations are implemented in the finite element code MSC.Marc with user subroutines. The calculated load-stroke curves appropriately describe the effect of introducing the hydrostatic-pressure dependence of PP. Moreover, the calculated results agree with the experimental ones for various thicknesses of specimens. Finally, the calculated distributions of bending stress and bending strain in the specimen also show the effects of hydrostatic-pressure dependence.
机译：在本文中，聚丙烯（PP）的V形弯曲通过有限元方法，使用由一位作者提出的静压依赖性聚合物的塑性本构方程进行分析。屈服面由应力的第一和第二不变量表示，以描述静水压力的依赖性。使用不同于屈服面的塑性势来描述聚合物材料的不可压缩性。假定各向同性硬化。所提出的本构方程通过用户子程序在有限元代码MSC.Marc中实现。计算得出的载荷-行程曲线适当地描述了引入PP的静水压力依赖性的效果。此外，对于各种厚度的样品，计算结果与实验结果吻合。最后，计算得出的试样中弯曲应力和弯曲应变的分布也显示出静水压力依赖性的影响。

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