复合材料科学与工程 ›› 2021, Vol. 0 ›› Issue (4): 5-11.DOI: 10.19936/j.cnki.2096-8000.20210428.001

• 基础研究 •    下一篇

高体分比颗粒增强复合材料弹塑性力学分析

孙可可1, 马连华2*, 曹亚阔1, 朱思宪1   

  1. 1.河北大学 建筑工程学院,保定071002;
    2.河北大学 质量技术监督学院,保定071002
  • 收稿日期:2020-08-21 出版日期:2021-04-28 发布日期:2021-04-30
  • 通讯作者: 马连华(1979-),男,博士,副教授,主要从事复合材料力学方面的研究,lhma@hbu.edu.cn。
  • 作者简介:孙可可(1995-),男,硕士研究生,研究方向为复合材料细观力学。
  • 基金资助:
    国家自然科学基金面上项目(11572109);河北省自然科学基金面上项目(A2016201198);河北省高等学校科学技术研究重点项目(ZD2017006);2020年河北省研究生创新资助项目(CXZZSS2020009)

THE ANALYSIS OF ELASTOPLASTIC PROPERTIES OF HIGH VOLUME FRACTION PARTICLE REINFORCED COMPOSITES

SUN Ke-ke1, MA Lian-hua2*, CAO Ya-kuo1, ZHU Si-xian1   

  1. 1. College of Civil Engineering and Architecture, Hebei University, Baoding 071002, China;
    2. College of Quality and Technical Supervision, Hebei University, Baoding 071002, China
  • Received:2020-08-21 Online:2021-04-28 Published:2021-04-30

摘要: 高体分比颗粒增强复合材料被广泛应用于工程领域。本文通过建立该类复合材料的弹塑性细观力学模型,系统研究了该类材料在单轴拉压情况下的宏观弹塑性力学性能。在有效模量预测方面,分别采用Mori-Tanaka模型和Ju等提出的相互作用细观力学模型研究了高体分比颗粒增强复合材料的宏观有效模量,指出了Mori-Tanaka模型的局限性。针对高体分比颗粒增强复合材料弹塑性力学性能,采用Hill定理和场扰动方法建立了宏观应力与基体等效应力的关系,分别采用Mori-Tanaka模型和Ju模型研究了颗粒增强复合材料在不同体分比下的宏观弹塑性力学性能,并将理论预测与实验数据和有限元模拟结果进行了对比分析。结果表明,针对高体分比颗粒增强复合材料宏观弹塑性力学性能预测,本文方法相比传统模型结果更准确,可为工程领域中该类材料的弹塑性力学性能预测提供一定的理论参考。

关键词: 颗粒增强复合材料, 高体分比, 弹塑性, 细观力学

Abstract: The composites reinforced by particles with high volume fraction are widely used in engineering field. In this work, the elastoplastic micromechanical model is established for such composites, and the macroscopic elastoplastic mechanical properties under uniaxial tension and compression are systematically studied. In the aspect of effective modulus prediction, the Mori-Tanaka model and the interaction micromechanics model proposed by Ju et al. are employed to study the effective modulus of the particle reinforced composites with high volume fraction, and the limitations of the Mori-Tanaka model are addressed. For the particle reinforced composites with high volume fraction, the Hill's theorem and the field fluctuation method are employed to formulate the relationship between the macroscopic stress and the equivalent stress of the matrix. Within the theoretical framework, the Mori-Tanaka model and Ju's model are respectively used to study the macroscopic elastoplastic properties of such material with different particle volume fraction. The comparisons between the theoretical prediction with experimental data and finite element simulation results are made. The results show that, for the macro-elastoplastic properties of high volume fraction particle reinforced composites, the prediction results of the proposed model are more accurate than those of the traditional model, and such model may provide a theoretical reference for the prediction of the elastoplastic properties of such materials in the engineering field.

Key words: particle reinforced composites, high volume fraction, elastoplasticity, micromechanics

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