Shakedown solutions for pavements with materials following associated and non-associated plastic flow rules
Existing lower-bound shakedown solutions for pavement problems are generally obtained by assuming that materials obey an associated flow rule, whereas plasticity of real materials is more inclined to a non-associated flow. In this paper, a numerical step-by-step approach is developed to estimate sha...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2016
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| Online Access: | https://eprints.nottingham.ac.uk/53224/ |
| _version_ | 1848798904729993216 |
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| author | Liu, Shu Wang, Juan Yu, Hai-Sui Wanatowski, Dariusz |
| author_facet | Liu, Shu Wang, Juan Yu, Hai-Sui Wanatowski, Dariusz |
| author_sort | Liu, Shu |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Existing lower-bound shakedown solutions for pavement problems are generally obtained by assuming that materials obey an associated flow rule, whereas plasticity of real materials is more inclined to a non-associated flow. In this paper, a numerical step-by-step approach is developed to estimate shakedown limits of pavements with Mohr–Coulomb materials. In particular, influences of a non-associated flow rule on the shakedown limits are examined by varying material dilation angle in the numerical calculations. It is found that the decrease of dilation angle will lead to accelerated reduction of pavement shakedown limits, and the reduction is most significant when the material friction angle is high. Furthermore, existing lower-bound shakedown solutions for pavements are extended, in an approximate manner, to account for the change of material dilation angle and the shakedown results obtained in this way agree well with those obtained through the numerical step-by-step approach. An example of pavement design using shakedown theory is also presented. |
| first_indexed | 2025-11-14T20:27:11Z |
| format | Article |
| id | nottingham-53224 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T20:27:11Z |
| publishDate | 2016 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-532242018-08-01T10:15:21Z https://eprints.nottingham.ac.uk/53224/ Shakedown solutions for pavements with materials following associated and non-associated plastic flow rules Liu, Shu Wang, Juan Yu, Hai-Sui Wanatowski, Dariusz Existing lower-bound shakedown solutions for pavement problems are generally obtained by assuming that materials obey an associated flow rule, whereas plasticity of real materials is more inclined to a non-associated flow. In this paper, a numerical step-by-step approach is developed to estimate shakedown limits of pavements with Mohr–Coulomb materials. In particular, influences of a non-associated flow rule on the shakedown limits are examined by varying material dilation angle in the numerical calculations. It is found that the decrease of dilation angle will lead to accelerated reduction of pavement shakedown limits, and the reduction is most significant when the material friction angle is high. Furthermore, existing lower-bound shakedown solutions for pavements are extended, in an approximate manner, to account for the change of material dilation angle and the shakedown results obtained in this way agree well with those obtained through the numerical step-by-step approach. An example of pavement design using shakedown theory is also presented. Elsevier 2016-05-31 Article PeerReviewed application/pdf en cc_by_nc_nd https://eprints.nottingham.ac.uk/53224/1/56-remove%20first%20page%201.pdf Liu, Shu, Wang, Juan, Yu, Hai-Sui and Wanatowski, Dariusz (2016) Shakedown solutions for pavements with materials following associated and non-associated plastic flow rules. Computers and Geotechnics, 78 . pp. 218-226. ISSN 1873-7633 Shakedown; Pavements; Non-associated flow rule; Mohr–Coulomb materials; Lower-bound https://www.sciencedirect.com/science/article/pii/S0266352X16300982?via%3Dihub doi:10.1016/j.compgeo.2016.05.005 doi:10.1016/j.compgeo.2016.05.005 |
| spellingShingle | Shakedown; Pavements; Non-associated flow rule; Mohr–Coulomb materials; Lower-bound Liu, Shu Wang, Juan Yu, Hai-Sui Wanatowski, Dariusz Shakedown solutions for pavements with materials following associated and non-associated plastic flow rules |
| title | Shakedown solutions for pavements with materials following associated and non-associated plastic flow rules |
| title_full | Shakedown solutions for pavements with materials following associated and non-associated plastic flow rules |
| title_fullStr | Shakedown solutions for pavements with materials following associated and non-associated plastic flow rules |
| title_full_unstemmed | Shakedown solutions for pavements with materials following associated and non-associated plastic flow rules |
| title_short | Shakedown solutions for pavements with materials following associated and non-associated plastic flow rules |
| title_sort | shakedown solutions for pavements with materials following associated and non-associated plastic flow rules |
| topic | Shakedown; Pavements; Non-associated flow rule; Mohr–Coulomb materials; Lower-bound |
| url | https://eprints.nottingham.ac.uk/53224/ https://eprints.nottingham.ac.uk/53224/ https://eprints.nottingham.ac.uk/53224/ |