Journal ArticleDOI
Formulation of anisotropic failure criteria incorporating a microstructure tensor
S. Pietruszczak,Zenon Mróz +1 more
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TLDR
In this paper, failure criteria for geomaterials are formulated in terms of the stress state and a microstructure tensor for orthotropy and transverse isotropy.About:
This article is published in Computers and Geotechnics.The article was published on 2000-03-01. It has received 157 citations till now. The article focuses on the topics: Tensor & Transverse isotropy.read more
Citations
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On failure criteria for anisotropic cohesive-frictional materials
S. Pietruszczak,Zenon Mróz +1 more
TL;DR: In this article, anisotropic failure criteria are formulated using two different approaches, one employs a spatial distribution of strength parameters and defines the failure condition in terms of traction components acting on the critical plane; the second one incorporates a microstructure tensor and relevant mixed invariants.
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A generalized anisotropic failure criterion for geomaterials
TL;DR: In this article, a generalized failure criterion for geomaterials with cross-anisotropy was proposed, in which an anisotropic variable was introduced in terms of the invariants and joint invariants of the stress tensor and the fabric tensor into the frictional coefficient of the failure criterion.
Journal ArticleDOI
Thermoplasticity and strain localization in transversely isotropic materials based on anisotropic critical state plasticity
TL;DR: In this paper, a thermoplastic framework for modeling coupled thermomechanical response and for predicting the inception of a shear band in a transversely isotropic material using the general framework of critical state plasticity and the specific framework of an anisotropic modified Cam-Clay model is presented.
Journal ArticleDOI
Failure Criterion for Cross-Anisotropic Soils
TL;DR: In this paper, a general 3D failure criterion for cross-anisotropic soils for both nonrotating and rotating stresses is proposed, which is based on a function of stress.
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Failure criteria for rocks based on smooth approximations to Mohr―Coulomb and Hoek―Brown failure functions
TL;DR: In this article, the authors modified the Mohr-Coulomb and Hoek-Brown (H-B) failure criteria based on geometric approximations of deviatoric sections that lead to smooth and convex surfaces.
References
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Book
The mathematical theory of plasticity
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
Journal ArticleDOI
A General Theory of Strength for Anisotropic Materials
Stephen W. Tsai,Edward M. Wu +1 more
TL;DR: In this article, an operationally simple strength criterion for anisotropic materials is developed from a scalar function of two strength tensors, which satisfies the invariant requirements of coordinate transforma tion, takes into account the difference in strengths due to positive and negative stresses, and can be specialized to account for different material symmetries, multi-dimensional space, and multi-axial stresses.
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Empirical Strength Criterion for Rock Masses
Evert Hoek,Edwin T. Brown +1 more
TL;DR: In this paper, an empirical strength criterion for rocks and rock masses is proposed, which includes the uniaxial compressive strength of the intact rock material and introduces two dimensionless parameters, m and s.
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Strength of jointed rock masses
TL;DR: In this paper, a simple empirical failure criterion is presented and its application in engineering design is illustrated by means of a number of practical examples, and the authors summarize some of the basic information upon which such simplifying assumptions can be made.
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Distribution of directional data and fabric tensors
TL;DR: In this paper, the distribution of directional data is characterized by what is termed fabric tensors, and a formal least square approximation is applied, and three kinds of fabric tensor are defined in connection with the choice of a basis of the space of functions on a unit sphere or a unit circle.