考虑高温–水化学腐蚀–围压损伤岩石本构模型及其工程应用
Constitutive Model of Rock Considering High Temperature-Hydrochemical Corrosion-Confining Pressure Damage and Its Engineering Application
摘要: 岩石材料在自然环境和工程条件下，常常受到高温、化学腐蚀和围压作用的影响，导致其力学性能发生变化。本文提出了一种考虑水化学腐蚀–围压损伤的岩石本构模型，用于描述岩石材料的损伤程度和应力–应变关系。本文首先引入了温度损伤变量、水化学损伤变量和力损伤变量，分别反映了岩石材料在不同温度、不同pH值和暴露时间下的化学腐蚀程度以及在不同荷载下的力学破坏程度。然后基于考虑岩石微元强度破坏的SMP准则，岩石破坏的Weibull概率分布和Lemaitre应变等效假设，并引入了荷载作用下岩石微元损伤变量修正系数，建立了考虑高温–水化学腐蚀–围压损伤的岩石本构模型。采用极值方法，通过理论推导确定了两个威布尔分布参数(m和F0)，并通过岩石三轴压缩试验验证了本构模型的正确性和适用性。该模型有效地反映了岩石高温–水化学腐蚀–围压损伤下的力学性能，为岩石材料的损伤机理和工程应用提供了一种新的理论和方法，拓展了岩石力学和岩土工程的研究范围和深度。
Abstract: Rock materials are often affected by high temperature, chemical corrosion and confining pressure under natural environment and engineering conditions, resulting in changes in their mechanical properties. In this paper, a rock constitutive model considering hydrochemical corrosion-confining pressure damage is proposed to describe the damage degree and stress-strain relationship of rock materials. In this paper, temperature damage variable, water chemical damage variable and force damage variable are introduced to reflect the degree of chemical corrosion of rock materials at different temperatures, different pH values and exposure time, and the degree of mechanical damage under different loads. Then, based on the SMP criterion considering the strength failure of rock micro-element, the Weibull probability distribution of rock failure and the Lemaitre strain equivalent hypothesis, the correction coefficient of rock micro-element damage variable under load is introduced, and the constitutive model of rock considering high temperature-hydrochemical corrosion-confining pressure damage is established. Using the extremum method, two Weibull distribution parameters (m and F0) are determined by theoretical derivation, and the correctness and applicability of the constitutive model are verified by rock triaxial compression test. The model effectively reflects the mechanical properties of rock under high temperature-hydrochemical corrosion-confining pressure damage. It provides a new theory and method for the damage mechanism and engineering application of rock materials, and expands the rock mechanics.
文章引用：王嘉成, 张爽爽. 考虑高温–水化学腐蚀–围压损伤岩石本构模型及其工程应用[J]. 建模与仿真, 2025, 14(3): 667-681. https://doi.org/10.12677/mos.2025.143255

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