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A Heuristic Elastoplastic Damage Constitutive Modeling Method for Geomaterials: From Strength Criterion to Analytical Full-Spectrum Stress-Strain Curves

机译:一种启发式弹塑性损伤的地磁构成构建方法:从强度标准到分析全谱应力 - 应变曲线

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This paper presents an elastoplastic damage constitutive modeling method in the thermodynamic framework for geomaterials. The model within this method starts from a strength criterion and shall well describe the full-spectrum stress-strain curves (i.e., curves of Classes I and II). First, a yield function is constructed in the stress space, on the basis of the strength criterion. A heuristic continuous and smooth unified hardening or softening parameter is then introduced into the yield function, which ensures that the yield function has the same form as the strength criterion at the peak stress state. Finally, an appropriate damage criterion is developed to consider the development of microcrack-induced damage. Unlike existing elastoplastic damage models, the yield function in stress space is not related to the damage. In this case, the model established using this modeling method shall derive some analytical solutions under several loading paths, which could be used to calibrate the model parameters and to validate the accuracy of the numerical algorithm. For application, the proposed method is utilized to construct an elastoplastic damage model based on the generalized Hoek-Brown strength criterion. The analytical stress-strain relations of the proposed model are used to predict the mechanical behavior of several types of rock. Comparisons between model predictions and experimental data show that this model can well describe the mechanical behavior of the investigated materials, including strength nonlinearity, strain hardening or softening, volume dilation, and brittle-ductile transition.
机译:本文介绍了一种用于地磁力框架中的弹性损伤本构模型建模方法。该方法中的模型从强度标准开始,并良好地描述全频谱应变曲线(即类I和II的曲线)。首先,基于强度标准,在应力空间中构造屈服函数。然后将启发式连续和平滑的统一硬化或软化参数引入屈服函数,这确保了屈服函数具有与峰值应力状态下的强度标准相同的形式。最后,开发了适当的损害标准来考虑微裂纹诱导的损伤的发展。与现有的弹塑性损伤模型不同,应力空间的产量功能与损坏无关。在这种情况下,使用该建模方法建立的模型应在若干加载路径下导出一些分析解决方案,可用于校准模型参数并验证数值算法的准确性。对于应用,所提出的方法用于构建基于广义Hoek-棕色强度标准的弹性塑性损伤模型。所提出的模型的分析应力 - 应变关系用于预测若干类型的岩石的力学行为。模型预测和实验数据之间的比较表明,该模型可以很好地描述所研究的材料的力学行为,包括强度非线性,应变硬化或软化,体积扩张和脆性延展转变。

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