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Simulations of a Full Three-Dimensional Packing Process and Flow-Induced Stresses in Injection Molding

机译:注塑过程中完整三维包装过程和流致应力的模拟

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摘要

Numerical investigations of a full three-dimensional (3D) packing process and flow-induced stresses are presented. The model was constructed on the basis of a 3D nonisothermal weakly compressible visco-elastic flow model combined with extended pom-pom (XPP) constitutive and Tait state equations. A hybrid finite element method (FEM)-finite volume method (FVM) is proposed for solving this model. The momentum equations were solved by the FEM, in which a discrete elastic viscous stress split scheme was used to overcome the elastic stress instability, and an implicit scheme of iterative weakly compressible Crank-Nicolson-based split scheme was used to avoid the Ladyshenskaya-Babu?ka-Brezzi condition. The energy and XPP equations were solved by the FVM, in which an upwind scheme was used for the strongly convection-dominated problem of the energy equation. Subsequently, the validity of the proposed method was verified by the benchmark problem, and a full 3D packing process and flow-induced stresses were simulated. The pressure and stresses distributions were studied in the packing process and were in agreement with the results of the literature and experiments in tendency. We particularly focused on the effects of the elasticity and pressure on the flow-induced stresses. The numerical results show that normal stress differences decreased with incremental Weissenberg number and increased with incremental holding pressure. The research results had a certain reference value for improving the properties of products in actual production processes.
机译:提出了一个完整的三维(3D)填充过程和流动引起的应力的数值研究。该模型是在3D非等温弱可压缩粘弹性流动模型的基础上构建的,该模型结合了扩展的pom-pom(XPP)本构方程和Tait状态方程。提出了一种混合有限元法(FEM)-有限体积法(FVM)来求解该模型。动量方程由有限元法求解,其中使用离散弹性粘滞应力分裂方案克服弹性应力不稳定性,并使用基于迭代弱压缩Crank-Nicolson分裂方案的隐式方案来避免Ladyshenskaya-Babu ?ka-Brezzi条件。能量和XPP方程由FVM求解,其中将迎风方案用于能量方程的强对流主导问题。随后,通过基准问题验证了所提方法的有效性,并模拟了完整的3D填充过程和流致应力。在包装过程中研究了压力和应力分布,并与文献和实验结果相吻合。我们特别关注弹性和压力对流动引起的应力的影响。数值结果表明,法向应力差随魏森贝格数的增加而减小,随保持压力的增加而增大。研究结果对提高实际生产过程中产品的性能具有一定的参考价值。

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