岩土力学 ›› 2021, Vol. 42 ›› Issue (2): 481-490.doi: 10.16285/j.rsm.2020.0861

• 基础理论与实验研究 • 上一篇    下一篇

基于均匀化理论的含水合物土弹塑性本构模型

梁文鹏1, 2,周家作1, 2,陈盼1, 2,韦昌富1, 2   

  1. 1. 中国科学院武汉岩土力学研究所 岩土力学与工程国家重点实验室,湖北 武汉 430071;2. 中国科学院大学,北京 100049
  • 收稿日期:2020-06-22 修回日期:2020-09-14 出版日期:2021-02-10 发布日期:2021-02-09
  • 通讯作者: 韦昌富,男,1967年生,博士,研究员,博士生导师,主要从事非饱和土和多孔介质理论方面的研究工作。E-mail: cfwei@whrsm.ac.cn E-mail:liangwenpeng_1@163.com
  • 作者简介:梁文鹏,男,1992年生,博士研究生,主要从事含水合物沉积物基本力学性质等方面的研究工作。
  • 基金资助:
    国家自然科学基金(No. 51939011, No. 51639008, No. 41877269)

An elastoplastic constitutive model of gas hydrate bearing sediments based on homogenization theory

LIANG Wen-peng1, 2, ZHOU Jia-zuo1, 2, CHEN Pan1, 2, WEI Chang-fu1, 2   

  1. 1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, China; 2. University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2020-06-22 Revised:2020-09-14 Online:2021-02-10 Published:2021-02-09
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (51939011, 51639008, 41877269).

摘要: 将含水合物土视为由土颗粒、孔隙流体及水合物晶体构成的复合材料,其中水合物晶体视为复合材料的夹杂相,其余部分为基质项。分别采用砂土状态相关的临界状态弹塑性模型和弹脆性模型描述基质相和夹杂相的本构关系,同时引入水合物活度因子表示变形过程中可有效承担荷载的水合物的比例。在基质相和夹杂相各自力学性质的基础上,基于细观力学理论中的Eshelby等效夹杂理论和Mori-Tanaka均匀化方法,推导了含水合物土的等效弹塑性刚度矩阵,建立了在不同围压、不同水合物含量及赋存模式等条件下,可考虑含水合物土的赋存模式、强度、应变软化、剪胀等特性的弹塑性本构模型。模型物理意义明确、形式简单且参数易通过简单的室内试验获取。通过已有试验数据对模型进行了验证,结果表明,模型可较好地描述不同试验条件下含水合物土的力学特性。

关键词: 含水合物土, 均匀化理论, 弹塑性, 本构模型

Abstract: Gas hydrate bearing sediments can be regarded as a composite material composed of matrix phase (soil particles, pore water and gas) and inclusion phase (pure hydrate crystals). In this paper, the multi-scale method that is commonly used in the field of composite materials research was adopted to study the mechanical properties of gas hydrate bearing sediments. The constitutive relationship between the matrix and hydrate phases was characterized by the critical state elastoplastic-constitutive model related to the sand state and the elastic-brittle model, respectively. Meanwhile, the factor of hydrate activity was introduced to represent the slip and fracture of hydrate crystals during the triaxial shearing process the proportion of hydrate crystals which can bear the load effectively in the deformation process. Based on Eshelby’s equivalent inclusion theory and Mori-Tanaka method in the meso-mechanics theory, the equivalent elastoplastic stiffness matrix of gas hydrate bearing sediments was derived. And then, an elastoplastic constitutive model of gas hydrate bearing sediments was established considering the occurrence mode, strength, strain softening and dilatancy of gas hydrate bearing sediments under different confining pressures, different gas hydrate bearing sediments contents and different hydrate occurrence modes. The physical meaning of the proposed model was clear, the form was simple, and all the parameters included in the proposed model were easy to be obtained through simple laboratory tests. Finally, the model was verified by the existing experiments data. The results show that the proposed model can well describe the mechanical properties of gas hydrate bearing sediments under different test conditions.

Key words: gas hydrate bearing sediments, homogenization theory, elastoplasticity, constitutive model

中图分类号: TU 43
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