Introduction to Suggested Methods for Failure Criteria

Haimson, Bezalel C.; Bobet, Antonio

doi:10.1007/s00603-012-0274-6

Cited by 20 publications

(4 citation statements)

References 14 publications

(11 reference statements)

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“…A fracture criterion describes the conditions for which failure occurs in a material, and moreover constitutive models depend on the fracture criteria. Fracture criteria for rock materials under quasi-static loads were critically reviewed by Zang and Stephansson (2010) and recently proposed as ISRM suggested methods (Haimson and Bobet 2012). However, there are only limited works on dynamic fracture criteria for quasi-brittle materials.…”

Section: Dynamic Fracture Criteriamentioning

confidence: 99%

A Review of Dynamic Experimental Techniques and Mechanical Behaviour of Rock Materials

2013

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The purpose of this review is to discuss the development and the state of the art in dynamic testing techniques and dynamic mechanical behaviour of rock materials. The review begins by briefly introducing the history of rock dynamics and explaining the significance of studying these issues. Loading techniques commonly used for both intermediate and high strain rate tests and measurement techniques for dynamic stress and deformation are critically assessed in Sects. 2 and 3. In Sect. 4, methods of dynamic testing and estimation to obtain stress-strain curves at high strain rate are summarized, followed by an in-depth description of various dynamic mechanical properties (e.g. uniaxial and triaxial compressive strength, tensile strength, shear strength and fracture toughness) and corresponding fracture behaviour. Some influencing rock structural features (i.e. microstructure, size and shape) and testing conditions (i.e. confining pressure, temperature and water saturation) are considered, ending with some popular semi-empirical rate-dependent equations for the enhancement of dynamic mechanical properties. Section 5 discusses physical mechanisms of strain rate effects. Section 6 describes phenomenological and mechanically based ratedependent constitutive models established from the knowledge of the stress-strain behaviour and physical mechanisms. Section 7 presents dynamic fracture criteria for quasi-brittle materials. Finally, a brief summary and some aspects of prospective research are presented.

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Section: Dynamic Fracture Criteriamentioning

confidence: 99%

A Review of Dynamic Experimental Techniques and Mechanical Behaviour of Rock Materials

2013

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“…Determining the strength of rock is essential for engineering design and construction [1][2][3]. Rock strengths under different stress states are usually estimated by using a failure criterion with the assistant of triaxial compression tests.…”

Section: Introductionmentioning

confidence: 99%

“…Numerous failure criteria were proposed by many researchers over the past few decades, and some of them have been successfully applied to the engineering practice [4][5][6][7][8][9][10][11][12]. In recent years, several reports on "Suggested Methods for Failure Criteria" were organized by International Society of Rock Mechanics (ISRM) to standardize different failure criteria targeted towards the engineering practice [2]. These suggested methods include the Mohr-Coulomb [13], Hoek-Brown [14], 3D Hoek-Brown [15], Drucker-Prager [16], and Lade and modified Lade 3D [17] criteria.…”

Section: Introductionmentioning

confidence: 99%

A Parabolic Failure Criterion for Transversely Isotropic Rock: Modification and Verification

Wang

Tang

Shen

et al. 2019

Mathematical Problems in Engineering

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It is of great significance to develop a failure criterion that can describe the orientation-dependent behavior of transversely isotropic rocks. This paper presents a simplified parabolic model that is successful in predicting the strengths of rocks under different confining pressures and bedding angles. The model is a modified version of the normal parabolic criterion for intact rocks. The two orientation-dependent parameters (σcβ and kβ) in the model show trigonometric relationships with the bedding angle, and they can be readily determined through uniaxial and triaxial compression tests. The shape of the failure envelope is determined by kβ, and σcβ only affects the level of rock strength. With application to 446 experimental data, the predicting results by the parabolic criterion are highly consistent with the experimental data, and the predictive capacity of the proposed criterion is better than those of the McLamore-Gray and Tien-Kuo criteria. Besides, the prediction errors for the high confining pressure condition and the bedding-sliding failure mode are smaller than those for the low confining pressure and the non-bedding-sliding failure. Moreover, the prediction error almost remains steady with the decrease of data set, indicating that the proposed criterion is of high precision even if the experimental data are limited.

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“…The International Society of Rock Mechanics (ISRM) has also proposed methods to standardize the practical application of different strength criteria. 16 Many rock strength criteria are generally put forward under the condition of low confining pressure, which limits their application scope. When the confining pressure is relatively low, the estimated strength of the criterion is basically the same as the test strength, but with the gradual increase of confining pressure, the estimated strength will exceed the test strength.…”

Section: Introductionmentioning

confidence: 99%

Wellbore stability evaluation method based on the continuous tangent envelope of a Mohr circle

et al. 2019

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It is of great practical significance to accurately obtain formation collapse pressure and determine an effective three-pressure profile with a correct strength criterion in the drilling process to identify the best drilling fluid density. Taking the tight sandstone of the XuJiahe formation as an example, we conducted a series of rock mechanics tests, focusing on large-scale, high-density confining pressure triaxial experiments; determined a mathematical expression for the continuous tangent envelope of a nonlinear Mohr circle envelope based on a series of triaxial tests; and clarified the variation rules of cohesion force and internal friction angle with confining pressure. The impact of rock mechanics parameters determined by using the traditional method and the continuous tangent envelope method on wellbore stability is compared and analyzed by using the MathCAD program, and then the collapse pressure is obtained. The results show that the parabolic curve derived from the uniaxial rock mechanics test data of the XuJiahe formation is not suitable for the triaxial test results under high confining pressure. By means of the continuous tangent envelope method, the relationship between rock cohesion and internal friction angle and confining pressure is obtained; this replaces the traditional collapse pressure calculation results using geophysical logging data or uniaxial tests, and the relationship between cohesion and friction angle is more consistent with confining pressure. The MathCAD simulation analysis shows that the rock mechanics parameters determined by the continuous tangent envelope can reflect the stratum situation more truly than the linear envelope method. Compared with the linear envelope method and parabolic envelope method under the same conditions, the continuous tangent envelope method has certain advantages in determining the critical density, which provides a theoretical basis for the accuracy of sandstone formation collapse pressure calculation and can give significant guidance for the study of wellbore stability of deep sandstone formations.

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Introduction to Suggested Methods for Failure Criteria

Cited by 20 publications

References 14 publications

A Review of Dynamic Experimental Techniques and Mechanical Behaviour of Rock Materials

A Review of Dynamic Experimental Techniques and Mechanical Behaviour of Rock Materials

A Parabolic Failure Criterion for Transversely Isotropic Rock: Modification and Verification

Wellbore stability evaluation method based on the continuous tangent envelope of a Mohr circle

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