Review of Proposed Stress-dilatancy Relationships and Plastic Potential Functions for Uncemented and Cemented Sands
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Cites background from "Review of Proposed Stress-dilatancy..."
...The most well-known stress–dilatancy relationships were collected by Rahimi [17]....
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...The complex stress–plastic dilatancy relationship can be obtained by differentiating the plastic potential function proposed in classical elastoplastic models [17]....
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References
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"Review of Proposed Stress-dilatancy..." refers background in this paper
...They, however, assigned a value of one for A. (14) Ling and Yang [30]: Ling and Yang [30] used a combination of work of Nova and Wood [36] and Li and Dafalias [29] to define their stress-dilatancy relation as follows: (39) (40) where αg and m are positive constants and ξ is the state parameter. αg and m can be determined using the volumetric strain vs. deviator strain curve....
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...(2) Nova and Wood [36]: One of the oldest and most popular stress-dilatancy relationships proposed for cohesionless sands was first suggested by Nova and Wood [36]....
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...Weng [65] -identical to Nova and Wood [36]’s stress-dilatan- cy equation....
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...It appears that the formula was proposed based on Nova and Wood [35]’s relation as follows: DOI: https://doi.org/10.30564/jgr.v1i2.864 Distributed under creative commons license 4.0 (15) where N is a material parameter and d is the dilatancy rate which is defined as plastic volumetric strain increment to plastic deviatoric strain increment....
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...(9) Weng [65]: In his generalized plasticity model for sandstone, Weng [65] used Nova and Wood [36]’s stress-dilatancy relationship which has been proposed for cohesionless sands....
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"Review of Proposed Stress-dilatancy..." refers background or result in this paper
...Manzari and Dafalias [33] Mf =M+mξ ξ is the state parameter....
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...(11) Dafalias and Manzari ([33]): Dafalias and Manzari [33] proposed their stress-dilatancy equation based on difference between the current stress ratio η and the dilatancy stress ratio MPT which is known as the phase transformation stress ratio....
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...Dafalias and Manzari [33] -a fabric dependent stress-dilatancy equation based on difference between the current stress ratio and the phase transformation stress ratio....
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...[16] -similar to equation of Dafalias and Manzari ([33]), however, it is not fabric dependent....
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...Interested reader is referred to Dafalias and Manzari ([33])....
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678 citations
"Review of Proposed Stress-dilatancy..." refers background or methods in this paper
...Ling and Yang [30] -a combination of relationships proposed by Nova and Wood [36] and Li and Dafalias ([29])....
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...Modified Cam Clay d=(M(2)f -η (2))/2η Jefferies (([17]) d=(Mf -η)/(1-N) Li and Dafalias [29] d=d0(Mf -η)/M Rowe [47] d=9(Mf -η)/(9+3Mf -2Mfη)...
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...0 Li and Dafalias [29] Mf =Mexp(mξ) ξ is the state parameter....
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...(14) Ling and Yang ([30]): Ling and Yang [30] used a combination of work of Nova and Wood [36] and Li and Dafalias [29] to define their stress-dilatancy relation as follows:...
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...(19) Qu and Huang ([39]): Similar to Li and Dafalias ([29]), dilatancy of sand was related to state parameter ξ and the current stress ratio η= by Qu and Huang [39] as follows:...
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