A coupled thermomechanical nonordinary state‐based peridynamics for thermally induced cracking of rocks

A coupled thermomechanical nonordinary state‐based peridynamics for thermally induced cracking of rocks
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基于耦合热机械非常态近场动力学的岩石热致开裂

DOI:
10.1111/ffe.13155
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发表时间:
2020-02
影响因子:
3.7
通讯作者:
Xiaoping Zhou
Xiaoping Zhou
中科院分区:
材料科学2区
文献类型:
--
作者:
Yundong Shou;Xiaoping Zhou

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提出了一种新的基于热-力耦合非寻常态的岩石热损伤理论。在热力耦合模型中引入固体材料的热膨胀特性,考虑温度的影响。由温度场求出变形梯度张量,再用周向热传导理论求解。通过在基于非寻常态的力态函数中引入形变梯度张量,实现了热力耦合。提出了一种研究岩石热致开裂的破坏准则。然后,通过数值模拟证明了热-力耦合模型的有效性。通过一个具有解析解的基准算例验证了耦合模型的正确性。此外,使用所提出的耦合非寻常态的周波模型模拟了岩石中的热开裂过程,发现数值结果与以前的实验观察结果吻合得很好。
A novel coupled thermo‐mechanical nonordinary state‐based peridynamics is proposed to study thermally induced damage in rocks. The thermal expansion characteristics of solid material are introduced into the coupled thermomechanical model to consider the influence of temperature. The deformation gradient tensor is obtained by the temperature fields, which is solved by peridynamic heat conduction theory. By introducing the deformation gradient tensor into the force state function of the nonordinary state‐based peridynamics, the coupling of thermal and mechanical is realized. A failure criterion is developed to investigate the thermally induced cracking of rocks. Then, the validity of the coupled thermo‐mechanical model is demonstrated by a numerical simulation. The correctness of the coupled model is validated by a benchmark example with analytic solution. Moreover, the thermal cracking progress in rocks is simulated using the proposed coupled nonordinary state‐based peridynamic model, and it is found that the numerical results are in good agreement with the previous experimental observations.
模拟温度应力引起的岩石开裂的热力不连续体耦合模型
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