A New Model and Theory on Yield and Failure of Materials Under the Complex Stress State

Yu, Mao-Hong; He, Long

doi:10.1016/b978-0-08-037890-9.50389-6

Cited by 47 publications

(38 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The unified strength theory has a clear and definite physical concept and simple expressions (Yu and He 1991;Yu et al 1998Yu et al , 2002Yu 2002). The theory can be applied to different materials.…”

Section: Unified Strength Theorymentioning

confidence: 99%

New strength formulae for rock surrounding a circular opening

et al. 2013

View full text Add to dashboard Cite

In this paper, the unified strength theory proposed by Yu Mao-hong in 1991 is used to develop new strength formulae for rock surrounding a tunnel. The new formulae can be applied to an elastic-plastic material. The formulae have a series of expressions with the unified parameter, especially variations such as the well-known Kastner and Airy formulae, which are widely used in rock mechanics and engineering. These formulae are derived on the basis of the Mohr-Coulomb strength criterion. For the strength-weakening (plastic-softening) of geomaterials, the analytical solutions for the radius of the plastic residual zones, radius of the plastic-softening zones, and displacement around the opening are presented according to the elastoplastic-softening -residual plastic, tri-linear stress-strain model. In addition, the derivation for the stress state in the surrounding rock is given. The Kastner formula, Airy formula, and available solutions can be considered as special cases in the new strength formula. The influence of softening, shear dilatancy, and different strength models on the results is analyzed. The results presented in this paper are useful for analyzing surrounding rock with various stress conditions and reinforcement of caves.Résumé : Dans cet article, la théorie unifiée de résistance proposée par Yu Mao-hong en 1991 est utilisée pour développer des nouvelles formules de résistance pour la roche entourant un tunnel. Les nouvelles formules peuvent être appliquées pour un matériau élastique-plastique. Les formules comportent une série d'expressions avec le paramètre unifié, particulièrement les variations qui incluent la formule bien connue de Kastner et celle d'Airy, qui sont couramment utilisées en mécanique des roches et en ingénierie. Ces formules sont dérivées sur la base du critère de résistance de Mohr-Coulomb. Pour la réduction de la résistance (adoucissement plastique) de géomatériaux, les solutions analytiques pour le rayon des zones plastiques résiduelles, pour le rayon des zones d'adoucissement plastique et pour le déplacement tout autour de l'ouverture, sont présentées selon le modèle plastique de contrainte-déformation tri-linéaire élasto-plastique-adoucissement-résiduel. De plus, la dérivation de l'état des contraintes de la roche environnante est donnée. La formule connue de Kastner, la formule d'Airy et les solutions disponibles peuvent être considérées comme des cas spéciaux de la nouvelle formule de résistance. L'influence de l'adoucissement, de la dilatance en cisaillement et des différents modèles de résistance sur les résultats est analysée. Les résultats présentés dans cet article sont utiles pour l'analyse de la roche environnante sous différentes conditions de contraintes et renforcements de cavités. [Traduit par la Rédaction]Mots-clés : roche environnante, théorie unifiée de résistance, dilatance en cisaillement, modèle de contrainte-déformation.

show abstract

Section: Unified Strength Theorymentioning

confidence: 99%

New strength formulae for rock surrounding a circular opening

et al. 2013

View full text Add to dashboard Cite

show abstract

“…However, their applicability and generality are weak (Chen, 1982;Matsuoka and Nakai, 1985;Yu, 2002). The unified strength theory (Yu and He, 1991) encompasses the MohrCoulomb strength criterion, the twin-shear strength criterion and other empirical criteria as special cases. It is thus a relatively perfect strength theory, not only having unambiguous physical significance but also reflecting the strength performance of materials under complex stresses.…”

Section: Compression/shear Failure Criterion For Fibrous Concretementioning

confidence: 99%

“…It assumes that material failure occurs when shear stress at any point reaches a limit that depends linearly on the normal stress in the same plane. This is a single-shear strength rule where the effect of the intermediate principal stress is not taken into account (Yu and He, 1991). The twin-shear strength theory considers the maximum principal shear stress, ô 13 , and intermediate principal shear stress, ô 12 (or ô 23 ), and the influence of the normal stress, ó 13 and ó 12 (or ó 23 ), acted on the same plane, respectively.…”

Section: Introductionmentioning

confidence: 99%

Study on behaviour and strength of SFRC under combined action of compression and shear

Wang

Dong

Wang

2011

Magazine of Concrete Research

View full text Add to dashboard Cite

Steel fibre reinforced concrete (SFRC) has been gaining popularity in load-carrying members because of its positive contribution to both concrete strength and energy absorption capacity. This paper presents both experimental and theoretical study of the fibre reinforcing effect on the concrete failure mechanism. The compression/shear tests of cubic steel fibre reinforced concrete specimens with fibre volume fractions of 0%, 1 . 5% and 3% are conducted in the wedge shear apparatus. Their failure patterns are analysed at macro-and meso-scale levels. Subsequently, these experimental data are analysed by a twin-shear strength theory. One concise compression/shear failure criterion is then developed for SFRC. It is found that the predicted results by this criterion agree well with those by experiments.Finally, the changes of concrete twin-shear strength parameters with the fibre volume fraction are explored.

show abstract

“…The twin-shear strength criterion [6] proposed by Yu Maohong and L. N. He could calculate the shear stress on both shear planes at material failure, and could also be called a twin spatially mobilized plane criterion.…”

Section: Introductionmentioning

confidence: 99%

Novel Soil Strength Criterion Compared with Conventional Criteria

Shao¹,

Shao²,

Zhang³

et al. 2017

View full text Add to dashboard Cite

A novel soil strength criterion is proposed based on the shear stress ratio on a new spatially mobilized plane, where the cube root of principal stresses is constant. The strength failure surface depicted in the principal stress space by this criterion was smoothly conical, with a curved triangle shape on the octahedral plane. A comparative analysis of the strength failure surfaces of the Mohr-Coulomb (M-C), the Drucker-Prager (D-P), the Matsuoka-Nakai (M-N), the Lade-Duncan (L-D), the new criteria, and the shear strength laws of different criteria with parameter b on the π plane showed that the L-D criterion and the new spatially mobilized plane strength criterion were comparable, which revealed the physical essence of the L-D criterion. Comparing the new strength criterion with the measured results of true triaxial tests of 4 kinds of intact loess under conditions of consolidation and drain, the strength law of loess could be described by the new strength criterion under complex stress conditions, and the rationality and reliability of the strength criterion were verified by the correspondence between the criterion and experimental values.

show abstract

A New Model and Theory on Yield and Failure of Materials Under the Complex Stress State

Cited by 47 publications

References 1 publication

New strength formulae for rock surrounding a circular opening

New strength formulae for rock surrounding a circular opening

Study on behaviour and strength of SFRC under combined action of compression and shear

Novel Soil Strength Criterion Compared with Conventional Criteria

Contact Info

Product

Resources

About