横观各向同性岩石热力耦合脆性断裂相场法模拟

    Phase-field modeling of thermo-mechanical coupled brittle fracture for transversely isotropic rock

    • 摘要: 层理岩石的热致变形与破裂是地热开采与核废料储存等岩土工程中的关键问题,其行为受材料各向异性影响显著。为研究该类岩石的热致裂特性,在经典相场框架下引入横观各向同性本构和结构张量,提出了具有可表征热力各向异性的横观各向同性岩石脆性断裂相场模型,并通过解析解、数值解与试验结果对比验证了模型在动态、准静态热断裂方面的适用性和可靠性。进一步分析表明,4种热力参数的各向异性变化对裂纹扩展形态具有不同程度影响:层理方向上,裂纹萌生因刚度增大受到抑制,又因较低的临界断裂能和较小的热膨胀系数受到促进;而热导率增大则呈现出先促进后抑制的规律。同等各向异性水平下,热膨胀系数对裂纹扩展形态影响最大,力学参数次之,导热系数的影响最小。研究为涉及热力影响下具有层理构造的岩土工程致裂、止裂等措施提供了必要的手段和依据。

       

      Abstract: Thermally induced deformation and fracture of bedding rocks are critical concerns in geotechnical engineering, including geothermal mining and nuclear waste storage, as these phenomena are strongly influenced by material anisotropy. To investigate thermal fracture characteristics of such rocks, transversely isotropic constitutive and structural tensors are incorporated within the classical phase-field framework. A phase field model for brittle fracture in transversely isotropic rocks, capable of representing thermal anisotropy, is proposed. The model's applicability and reliability in capturing dynamic and quasi-static thermal fracture behaviors are validated through comparisons with analytical solutions, numerical simulations, and experimental data. Further analysis reveals that anisotropic variations in four thermal parameters affect crack propagation morphology differently. Along the bedding direction, crack initiation is suppressed by increased stiffness but promoted by a lower critical fracture energy and lower thermal expansion coefficient. Meanwhile, increased thermal conductivity initially promotes crack propagation and follows by inhibition. Among these parameters, the thermal expansion coefficient has the most significant impact on crack propagation morphology, followed by mechanical parameters, while the thermal conductivity has the least influence. This research offers essential insights and practical guidance for addressing cracking and implementing crack-arrest measures in geotechnical engineering involving heat-affected bedding structures.

       

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