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<p>The true three-dimensional strength theory of rock is the basis for solving practical engineering problems, and it's also a research hotspot in rock mechanics' field. Many strength criteria are established from the perspective of stress, while energy conversion is the essential feature in the physical change process of rock. To establish a criterion with a wider application scope and more in line with the failure mechanism of rock materials, the new true three-dimensional strength criterion of rocks is established based on the distortion energy that causes rock deformation and failure. The strength criterion is verified according to the conventional triaxial and true triaxial test results of 61 kinds of rocks. Through comparison with various two-dimensional and three-dimensional strength criteria, it's found that the new strength criterion has good applicability to different types of rocks. The criterion can better reflect the strength characteristics of rock materials, such as the intermediate principal stress effect, hydrostatic pressure effect, and the stress Lode angle effect. Moreover, the criterion has the advantages of simple form, less rock characteristic parameters and clear physical meaning. Through comparative analysis with commonly used rock strength criteria, it's pointed out that the new strength criterion includes many strength criteria such as Mohr–Coulomb, Mogi-Coulomb, and Drucker-Prager, which is a general form of many strength criteria. It's profound meaning is the relationship between the generalized shear stress and the effective intermediate principal stress derived from the distortion energy perspective.</p><p><b>Highlights</b><UnorderedList Mark="Bullet"> <ItemContent> <p>According to the distortion energy required for rocks failure, the new true 3D strength criterion of rocks is derived.</p> </ItemContent> <ItemContent> <p>The applicability and accuracy of the new strength criterion are verified by the conventional triaxial and true triaxial test data of 61 kinds of rocks</p> </ItemContent> <ItemContent> <p>The internal relations between the new strength criterion and other strength criteria such as Mohr–Coulomb criterion are studied.</p> </ItemContent> </UnorderedList></p>

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Distortion Energy Strength Criterion of Rocks under True Triaxial Compression Condition

  • 期刊论文

  • 发表日期：

    2025年9月15日

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  • Hongtao Liu,
  • Qinyu Liu

摘要

The true three-dimensional strength theory of rock is the basis for solving practical engineering problems, and it's also a research hotspot in rock mechanics' field. Many strength criteria are established from the perspective of stress, while energy conversion is the essential feature in the physical change process of rock. To establish a criterion with a wider application scope and more in line with the failure mechanism of rock materials, the new true three-dimensional strength criterion of rocks is established based on the distortion energy that causes rock deformation and failure. The strength criterion is verified according to the conventional triaxial and true triaxial test results of 61 kinds of rocks. Through comparison with various two-dimensional and three-dimensional strength criteria, it's found that the new strength criterion has good applicability to different types of rocks. The criterion can better reflect the strength characteristics of rock materials, such as the intermediate principal stress effect, hydrostatic pressure effect, and the stress Lode angle effect. Moreover, the criterion has the advantages of simple form, less rock characteristic parameters and clear physical meaning. Through comparative analysis with commonly used rock strength criteria, it's pointed out that the new strength criterion includes many strength criteria such as Mohr–Coulomb, Mogi-Coulomb, and Drucker-Prager, which is a general form of many strength criteria. It's profound meaning is the relationship between the generalized shear stress and the effective intermediate principal stress derived from the distortion energy perspective.

Highlights

According to the distortion energy required for rocks failure, the new true 3D strength criterion of rocks is derived.

The applicability and accuracy of the new strength criterion are verified by the conventional triaxial and true triaxial test data of 61 kinds of rocks

The internal relations between the new strength criterion and other strength criteria such as Mohr–Coulomb criterion are studied.