A thermo-mechanically coupled constitutive model for semi-crystalline polymers at finite strains: Mechanical and thermal characterization of polyamide 6 blends

IF 1.9 4区 工程技术 Q3 MECHANICS Continuum Mechanics and Thermodynamics Pub Date : 2024-03-30 DOI:10.1007/s00161-024-01288-2
Marie-Christine Reuvers, Sameer Kulkarni, Birte Boes, Sebastian Felder, André Wutzler, Michael Johlitz, Alexander Lion, Tim Brepols, Stefanie Reese
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Abstract

In the field of material modeling, thermoplastic polymers are often studied because of their complex material behavior and their prevalence in industry applications due to their low cost and wide range of applications. Nowadays, where reusability becomes more and more important, materials which can undergo reversible thermomechanical deformations are appealing for, e.g., the construction of car body components. To predict such complex forming processes with multiple influencing factors, such as temperature, strain rate or underlying material morphology, model formulations are needed that account for these influences simultaneously and are validated against experimental data. Unfortunately, up to now only a few contributions are available which consider all these phenomena. In addition, the range of process parameters considered is often narrow due to the experimental effort required for testing. This usually results in limited predictive capabilities of the model. To overcome these limitations, in this work, a thermo-mechanically coupled material model is developed that accounts for the underlying morphology in terms of the degree of crystallinity (DOC). The model formulation is derived in a thermodynamically consistent manner, incorporating coupled nonlinear visco-elastic and elasto-plastic material behavior at finite strains. To characterize and further validate the model, mechanical as well as thermal experiments are conducted for polyamide 6 (PA6). Here, a blending strategy of PA6 together with an amorphous co-polymer is introduced during specimen production to achieve a wider range of stable DOCs(approximately 15%). The model formulation is successfully applied to experimental results and its predictions are in good agreement with experimental observations.

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有限应变下半结晶聚合物的热-机械耦合结构模型:聚酰胺 6 混合物的机械和热特性分析
在材料建模领域,热塑性聚合物是经常被研究的对象,因为它们具有复杂的材料行为,而且成本低、应用范围广,在工业应用中非常普遍。如今,可重复使用性变得越来越重要,可发生可逆热机械变形的材料在车身部件制造等方面很有吸引力。为了预测这种具有温度、应变率或材料基本形态等多种影响因素的复杂成型过程,需要同时考虑这些影响因素并根据实验数据进行验证的模型公式。遗憾的是,到目前为止,考虑到所有这些现象的研究成果寥寥无几。此外,由于测试所需的实验工作量,所考虑的工艺参数范围往往很窄。这通常会导致模型的预测能力有限。为了克服这些局限性,本研究开发了一种热机械耦合材料模型,该模型以结晶度 (DOC) 为基础,考虑了基本形态。该模型以热力学一致的方式推导,包含有限应变下的非线性粘弹性和弹塑性材料耦合行为。为了表征和进一步验证该模型,对聚酰胺 6(PA6)进行了机械和热实验。在此,在试样制作过程中引入了 PA6 与无定形共聚物的混合策略,以获得更广泛的稳定 DOCs(约 15%)。该模型配方已成功应用于实验结果,其预测结果与实验观察结果十分吻合。
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来源期刊
CiteScore
5.30
自引率
15.40%
发文量
92
审稿时长
>12 weeks
期刊介绍: This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena. Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.
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