基于DVC和FEMU的球形压痕下颗粒增强环氧树脂的黏弹塑性参数识别
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大连理工大学力学与航空航天学院工程力学系

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国家自然科学基金项目、辽宁省科技计划联合项目、国家自然科学基金联合基金


Elastic-viscoplastic parameter identification for particle-reinforced epoxy resin under spherical indentation using DVC and FEMU
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National Natural Science Foundation of China, Liaoning Province Science and Technology Plan Joint Project, and the National Natural Science Foundation of China-Joint Fund

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    摘要:

    聚合物复合材料的弹性、塑性和黏性性能是其力学表征和工程应用的重要指标。近年来,快速发展的压痕技术由于其高分辨率、通用性和适用性,在评价材料的力学行为和力学性能方面得到了突出的应用。许多数值方法,特别是有限元模型更新(Finite Element Method Update, FEMU)方法,已经与压痕技术相结合,以揭示材料的弹塑性特性,并为材料设计、性能优化和工程应用提供重要的见解。然而,常用的荷载-位移曲线不能捕捉变形响应的空间分布,因此限制了其在探究材料特性和确定本构模型参数方面的能力。在本研究中,对颗粒增强环氧树脂进行了原位球形压痕实验,并在多级加载过程中进行X射线断层扫描(Computed Tomography, CT)成像。采用自适应数字体相关(Self-Adaptive Digital Volume Correlation, SA-DVC)方法测量了接触区附近的位移场和应变场。通过在FEMU方法的目标函数中加入实验与模拟的时空变形场的差异,显著提高弹性、塑性和黏性参数的识别精度。与依赖力-位移曲线差异的传统方法相比,典型弹性及黏性参数的识别误差降低了11%。本工作提供了一个能够同时识别弹、黏、塑性本构参数并重建球形压痕状态下黏塑性应力场的方法,能够助力更好地理解颗粒增强环氧树脂的材料特性。

    Abstract:

    The elastic, plastic, and viscous properties of polymer-based composites serve as critical indicators for their mechanical characterization and engineering applications. In recent years, the rapidly developing indentation technique has gained prominence for assessing mechanical behavior and evaluating the mechanical properties of various materials due to its high resolution, versatility, and applicability. Numerous numerical methods, especially the finite element model updating (FEMU) approach, have been developed in conjunction with indentation techniques to reveal the elastoplastic properties and provide valuable insights for material design, property optimization, and engineering applications. However, the commonly used load-displacement curve cannot capture the spatial distribution of deformation responses, thereby limiting its capability in exploring material properties and calibrating constitutive models. In this study, an in-situ stepwise spherical micro-indentation test was performed on a particle-reinforced epoxy resin, followed by X-ray micro-computed tomography (CT) imaging at each step. A self-adaptive digital volume correlation (SA-DVC) approach was employed to measure the displacement and strain fields in the vicinity of the contact zone. The accuracy of elastic, plastic, and viscous parameters identification was enhanced through enriching the cost function in the FEMU approach with the discrepancies between DVC-measured and the FEM-predicted spatiotemporal deformation fields. The identification errors of typical elastic and viscous parameters were decreased by 11% compared to the traditional method using the discrepancy in the force-displacement curve. The presented framework, allowing the elastic-viscoplastic parameter identification and the internal viscous-plastic stress fields reconstruction under the spherical indentation condition, contributes to a better understanding of the material properties of particle-reinforced epoxy resins.

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  • 收稿日期:2025-04-13
  • 最后修改日期:2025-11-03
  • 录用日期:2025-11-06
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