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Finite-volume homogenization of elastic/viscoelastic periodic materials

机译：弹性/粘弹性周期材料的有限体积均质化

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摘要

In this contribution, the three-dimensional (3D) finite-volume direct averaging micromechanics (FVDAM) is reconstructed by incorporating parametric mapping capability into the theory's analytical framework, which allows using arbitrarily shaped and oriented hexahedral subvolumes in the material microstructure discretization. The technique is then further extended to include linear viscoelastic capability to investigate the creep and relaxation behavior of polymeric matrix composites and stress field evolution with either continuous or discontinuous reinforcements. Elastic-viscoelastic correspondence principle is employed in the unit cell solution to relate the governing relations between time domain and Laplace-Carson domain. After establishing the homogenized constitutive equations and solving the boundary value problems in Laplace-Carson domain, Zakian inversion scheme is used to invert the inexplicit homogenization functions to obtain both relaxation moduli and stress distributions during a relaxation history in real space. The FVDAM theory via correspondence principle is validated extensively by comparing with Mori-Tanaka, finite-element, locally exact solutions and experimental data. Good agreement between the present theory and other methods, along with a few numerical investigations, explains not only the accuracy of the 3D parametric FVDAM but also the validity and efficiency of the correspondence principle and Zakian inversion technique.
机译：在这项贡献中，通过将参量映射功能纳入该理论的分析框架中来重建三维（3D）有限体积直接平均微力学（FVDAM），从而可以在材料微结构离散化中使用任意形状和定向的六面体子体积。然后，该技术进一步扩展到包括线性粘弹性能力，以研究聚合物基复合材料的蠕变和松弛行为以及连续或不连续增强物的应力场演化。弹性-粘弹性对应原理在单元格解决方案中用于关联时域和Laplace-Carson域之间的控制关系。在建立均质本构方程并解决了Laplace-Carson域中的边值问题之后，使用Zakian反演方案对非均质化函数进行反演，以获得真实空间中松弛历史期间的松弛模量和应力分布。 FVDAM理论通过对应原理与Mori-Tanaka，有限元，局部精确解和实验数据进行了比较，得到了广泛的验证。本理论与其他方法之间的良好一致性，以及一些数值研究，不仅说明了3D参数FVDAM的准确性，而且说明了对应原理和Zakian反演技术的有效性和效率。

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  • 来源
    《Composite Structures》 |2017年第12期|457-470|共14页
  • 作者

    Chen Qiang; Wang Guannan; Chen Xuefeng; Geng Jia;

  • 作者单位

    Xi An Jiao Tong Univ, State Key Lab Mfg Syst Engn, Xian 710049, Shaanxi, Peoples R China;

    Texas Tech Univ, Dept Mech Engn, Lubbock, TX 79409 USA;

    Xi An Jiao Tong Univ, State Key Lab Mfg Syst Engn, Xian 710049, Shaanxi, Peoples R China;

    Xi An Jiao Tong Univ, State Key Lab Mfg Syst Engn, Xian 710049, Shaanxi, Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Micromechanics; Viscoelasctity; Correspondence principle; Finite-volume theory;

    机译：微力学粘弹性对应原理有限体积理论;

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