含损伤演化的TM耦合数值模型及其应用研究

从岩石材料的细观结构层次出发，应用损伤力学和热弹性理论，对热力耦合作用下岩石破裂 过程中热－应力相互作用关系进行了分析. 初步建立了细观岩石热－力(TM)耦合数值模型， 探讨了TM耦合作用下岩石材料的细观结构损伤及其诱发的材料力学性能演化机制，把岩石 热固耦合问题的研究从应力状态分析深入到损伤、破坏过程分析之中. 运用该数值模型对某 硬岩实验室开展的原位尺度实验中的废料处理井间柱稳定性进行了模拟分析，其应力场、岩 石剥离破坏形态及破坏诱发的AE特性等均与实验监测结果表现出了较好的一致性，证 明了该数值模型的合理性和有效性.

The damage coupled thermo-mechanical (TM) model for rock failure process and applications

Wolff's law in biomechanics states that the bone continually adapts to its mechanical environment through cell-based remodeling of trabecular surfaces and the local microstructure tends to align with the principal directions of the stress. The objective of the present research is to develop a new rule-based method for continuum topology optimization based on Wolff's law. The major ideas of the present approach are as follows. Firstly, the structure is to be optimized as a piece of bone which obeys Wolff's law. Secondly, the process of finding the optimal structural topology is equivalent to the "bone" remodeling/growth process. Thirdly, the remodeling rule can be explained as follows: During the process of growth, at any material point in the structure, if the absolute value of one of its principal strains is out of a given interval of reference strain, then the material in the local microstructure along the corresponding direction should be adjusted. If the absolute values of all its principal strains locate in the interval, the material point is in a state of equilibrium of remodeling. Finally, the global optimization of structure requires all material points to be in the state of remodeling equilibrium under the loading conditions. In order to express the microstructure and the anisotropic behavior of a material point, a second rank positive and definite fabric tensor is introduced. The relative density of a point in design domain expressed by the invariants of the fabric tensor through the mathematical condensation of the porous medium based on the stiffness-equivalence rule is used to display the optimal topology of structure. Examples are given to show the validity and capability of the proposed approach for the optimal topology design of continuum structures.