<p>Anisotropic rocks are commonly encountered in underground engineering, yet their mechanical behavior under complex stress states remains inadequately understood. This study explores the effects of stress direction and magnitude on the stress–strain response, strength, failure pattern, and failure angle of weakly anisotropic sandstone through true triaxial compression tests. The experiments were systematically designed to simulate realistic engineering geological conditions, with <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\sigma_{3 }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mn>3</mn> </msub> </math></EquationSource> </InlineEquation> ranging from 5 to 20&#xa0;MPa and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\sigma_{2 }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation> from 7.5 to 50&#xa0;MPa. The direction of <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\sigma_{1 }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> was varied at 0°, 30°, 45°, 60°, and 90°, while <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\sigma_{2 }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation> was applied either parallel or perpendicular to the bedding plane. The results demonstrate that the strength of weakly anisotropic sandstone is predominantly governed by the direction of <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\sigma_{1 }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> and the magnitudes of <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\sigma_{2 }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\sigma_{3 }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mn>3</mn> </msub> </math></EquationSource> </InlineEquation>, with negligible sensitivity to the direction of <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\sigma_{2 }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>. A shoulder-shaped strength anisotropy is observed with respect to the <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(\sigma_{1 }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> direction. These strength characteristics are well captured by the modified Mogi–Coulomb criterion incorporating direction-dependent cohesion and friction angle. The failure of weakly anisotropic sandstone is governed by the coupling of structural and stress-induced anisotropy, and this coupling is enhanced when the <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(\sigma_{1 }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> direction corresponds to the transition between bedding-dominated and matrix-dominated shear failure. The discussion on the strength behavior of different anisotropic rocks reveals that the effects of <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(\sigma_{2 }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation> direction and magnitude depend on the degree of structural anisotropy. This study provides new insights into the mechanical behavior of anisotropic rocks under true triaxial stress states and facilitates their theoretical analysis and numerical modeling.</p>

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Effects of Stress Direction and Magnitude on Strength and Failure of Weakly Anisotropic Sandstone under True Triaxial Compression

  • Hongyuan Zhou,
  • Zaobao Liu,
  • Jianfu Shao,
  • Wanqing Shen,
  • Essaieb Hamdi

摘要

Anisotropic rocks are commonly encountered in underground engineering, yet their mechanical behavior under complex stress states remains inadequately understood. This study explores the effects of stress direction and magnitude on the stress–strain response, strength, failure pattern, and failure angle of weakly anisotropic sandstone through true triaxial compression tests. The experiments were systematically designed to simulate realistic engineering geological conditions, with \(\sigma_{3 }\) σ 3 ranging from 5 to 20 MPa and \(\sigma_{2 }\) σ 2 from 7.5 to 50 MPa. The direction of \(\sigma_{1 }\) σ 1 was varied at 0°, 30°, 45°, 60°, and 90°, while \(\sigma_{2 }\) σ 2 was applied either parallel or perpendicular to the bedding plane. The results demonstrate that the strength of weakly anisotropic sandstone is predominantly governed by the direction of \(\sigma_{1 }\) σ 1 and the magnitudes of \(\sigma_{2 }\) σ 2 and \(\sigma_{3 }\) σ 3 , with negligible sensitivity to the direction of \(\sigma_{2 }\) σ 2 . A shoulder-shaped strength anisotropy is observed with respect to the \(\sigma_{1 }\) σ 1 direction. These strength characteristics are well captured by the modified Mogi–Coulomb criterion incorporating direction-dependent cohesion and friction angle. The failure of weakly anisotropic sandstone is governed by the coupling of structural and stress-induced anisotropy, and this coupling is enhanced when the \(\sigma_{1 }\) σ 1 direction corresponds to the transition between bedding-dominated and matrix-dominated shear failure. The discussion on the strength behavior of different anisotropic rocks reveals that the effects of \(\sigma_{2 }\) σ 2 direction and magnitude depend on the degree of structural anisotropy. This study provides new insights into the mechanical behavior of anisotropic rocks under true triaxial stress states and facilitates their theoretical analysis and numerical modeling.