论文标题

纤维增强聚合物的应变梯度公式:多孔骨折的混合相位场模型

A strain-gradient formulation for fiber reinforced polymers: Hybrid phase-field model for porous-ductile fracture

论文作者

Dittman, Maik, Schult, Jonathan, Schmidt, Felix, Hesch, Christian

论文摘要

提出了一种新的数值方法,用于分析复合材料中的机械行为,包括最终失败的非弹性制度。因此,第二级理论与断裂的相位方法结合使用。特别是,我们假设聚合物基质材料发生延性裂缝,而连续嵌入的纤维会经历脆性骨折,因为它是典型的,例如用于巡回玻璃增强热塑性塑料。开发和应用了杂种相位方法,并与改良的Gurson-Tvergaard-Needelman GTN型可塑性模型一起占据了微观上空隙的温度依赖性生长。机织织物的微观结构的机械响应产生了额外的高阶项,代表了纤维的均质弯曲贡献。最终,对这种物理全面的多场公式进行了一系列测试,以研究长纤维增强聚合物内的不同种类和失败序列。

A novel numerical approach to analyze the mechanical behavior within composite materials including the inelastic regime up to final failure is presented. Therefore, a second-gradient theory is combined with phase-field methods to fracture. In particular, we assume that the polymeric matrix material undergoes ductile fracture, whereas continuously embedded fibers undergo brittle fracture as it is typical e.g. for roving glass reinforced thermoplastics. A hybrid phase-field approach is developed and applied along with a modified Gurson-Tvergaard-Needelman GTN-type plasticity model accounting for a temperature-dependent growth of voids on microscale. The mechanical response of the arising microstructure of the woven fabric gives rise to additional higher-order terms, representing homogenized bending contributions of the fibers. Eventually, a series of tests is conducted for this physically comprehensive multifield formulation to investigate different kinds and sequences of failure within long fiber reinforced polymers.

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