Numerical Multiphase Yield Design Modelling of Reinforced Soil Structures: A Focus on the Interaction Between Soil and Inclusions
ABSTRACT In this contribution, we present the numerical implementation of the multiphase model in the yield design framework and apply it to estimate the ultimate bearing capacity of a foundation subjected to a combination of a vertical loading, a horizontal loading and an overturning moment. As a f...
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Published in | Proceedings in applied mathematics and mechanics Vol. 25; no. 1 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
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01.03.2025
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Abstract | ABSTRACT
In this contribution, we present the numerical implementation of the multiphase model in the yield design framework and apply it to estimate the ultimate bearing capacity of a foundation subjected to a combination of a vertical loading, a horizontal loading and an overturning moment. As a first step, the two phases and their mutual interaction strength capacities are estimated by solving a well‐defined 3D auxiliary problem on a representative unit cell. Then, it becomes possible to evaluate the strength properties of a reinforced soil structure according to the multiphase approach, using a dedicated f.e.m. numerical code in which the static and kinematic approaches of yield design are implemented. The so‐developed numerical tool is used to determine the ultimate bearing capacity of a piled foundation. Through such an example, it is possible to show how the interaction strength parameters and the bending strength density of the inclusions, which are directly related to their number, influence the failure load of the whole structure. |
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AbstractList | In this contribution, we present the numerical implementation of the multiphase model in the yield design framework and apply it to estimate the ultimate bearing capacity of a foundation subjected to a combination of a vertical loading, a horizontal loading and an overturning moment. As a first step, the two phases and their mutual interaction strength capacities are estimated by solving a well‐defined 3D auxiliary problem on a representative unit cell. Then, it becomes possible to evaluate the strength properties of a reinforced soil structure according to the multiphase approach, using a dedicated f.e.m. numerical code in which the static and kinematic approaches of yield design are implemented. The so‐developed numerical tool is used to determine the ultimate bearing capacity of a piled foundation. Through such an example, it is possible to show how the interaction strength parameters and the bending strength density of the inclusions, which are directly related to their number, influence the failure load of the whole structure. ABSTRACT In this contribution, we present the numerical implementation of the multiphase model in the yield design framework and apply it to estimate the ultimate bearing capacity of a foundation subjected to a combination of a vertical loading, a horizontal loading and an overturning moment. As a first step, the two phases and their mutual interaction strength capacities are estimated by solving a well‐defined 3D auxiliary problem on a representative unit cell. Then, it becomes possible to evaluate the strength properties of a reinforced soil structure according to the multiphase approach, using a dedicated f.e.m. numerical code in which the static and kinematic approaches of yield design are implemented. The so‐developed numerical tool is used to determine the ultimate bearing capacity of a piled foundation. Through such an example, it is possible to show how the interaction strength parameters and the bending strength density of the inclusions, which are directly related to their number, influence the failure load of the whole structure. |
Author | Donval, Elodie de Buhan, Patrick Hassen, Ghazi |
Author_xml | – sequence: 1 givenname: Elodie orcidid: 0000-0001-7700-0576 surname: Donval fullname: Donval, Elodie email: elodie.donval@uni-due.de organization: University of Duisburg Essen – sequence: 2 givenname: Ghazi surname: Hassen fullname: Hassen, Ghazi organization: Laboratoire Navier (Ecole des Ponts, UGE, CNRS) – sequence: 3 givenname: Patrick surname: de Buhan fullname: de Buhan, Patrick organization: Laboratoire Navier (Ecole des Ponts, UGE, CNRS) |
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Cites_doi | 10.1016/j.compgeo.2021.104035 10.1002/nag.2077 10.1061/(ASCE)0733-9399(2008)134:4(339) 10.1002/cnm.998 10.1002/nme.1567 10.1002/9781119492375 10.1016/j.euromechsol.2007.11.008 10.1002/nme.4716 10.1002/9781118648988 10.1002/nag.3537 10.1016/j.crme.2010.03.004 10.1016/j.jmps.2018.07.018 10.1016/S0997-7538(99)00109-6 |
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References_xml | – year: 2009 – volume: 133 year: 2021 article-title: Numerical Stability Analysis of Reinforced Soil Structures Using the Multiphase Model publication-title: Computers and Geotechnics – volume: 134 start-page: 339 issue: 4 year: 2008 end-page: 347 article-title: Finite‐Element Limit Analysis of Mohr–Coulomb Materials in 3D Using Semidefinite Programming publication-title: Journal of Engineering Mechanics – volume: 24 start-page: 911 issue: 11 year: 2008 end-page: 927 article-title: Upper Bound Limit Analysis Using Discontinuous Quadratic Displacement Fields publication-title: Communications in Numerical Methods in Engineering – volume: 47 start-page: 1742 issue: 10 year: 2023 end-page: 1771 article-title: 3D Analytical and Numerical Upper‐Bound Homogenization Approaches to the In‐Plane Strength Domain of a Running‐Bond Masonry Wall publication-title: International Journal for Numerical and Analytical Methods in Geomechanics – volume: 121 start-page: 198 year: 2018 end-page: 233 article-title: Multiphase Continuum Models for Fiber‐Reinforced Materials publication-title: Journal of the Mechanics and Physics of Solids – volume: 338 start-page: 132 issue: 3 year: 2010 end-page: 138 article-title: Macroscopic Yield Strength of Reinforced Soils: From Homogenization Theory to a Multiphase Approach publication-title: Comptes Rendus Mécanique – volume: 66 start-page: 604 issue: 4 year: 2006 end-page: 634 article-title: Lower Bound Limit Analysis of Cohesive‐Frictional Materials Using Second‐Order Cone Programming publication-title: International Journal for Numerical Methods in Engineering – volume: 99 start-page: 522 issue: 7 year: 2014 end-page: 541 article-title: Numerical Assessment of the Macroscopic Strength Criterion of Reinforced Soils Using Semidefinite Programming publication-title: International Journal for Numerical Methods in Engineering – volume: 37 start-page: 1122 issue: 9 year: 2013 end-page: 1139 article-title: Finite Element Simulations of the Behavior of Piled‐Raft Foundations Using a Multiphase Model publication-title: International Journal for Numerical and Analytical Methods in Geomechanics – year: 2017 – volume: 18 start-page: 995 issue: 6 year: 1999 end-page: 1012 article-title: A Two‐Phase Elastoplastic Model for Unidirectionally‐Reinforced Materials publication-title: European Journal of Mechanics‐A/Solids – year: 2018 – year: 2013 – volume: 27 start-page: 662 issue: 4 year: 2008 end-page: 679 article-title: Multiphase Approach as a Generalized Homogenization Procedure for Modelling the Macroscopic Behaviour of Soils Reinforced by Linear Inclusions publication-title: European Journal of Mechanics‐A/Solids – ident: e_1_2_7_8_1 doi: 10.1016/j.compgeo.2021.104035 – ident: e_1_2_7_9_1 doi: 10.1002/nag.2077 – ident: e_1_2_7_11_1 doi: 10.1061/(ASCE)0733-9399(2008)134:4(339) – ident: e_1_2_7_16_1 doi: 10.1002/cnm.998 – ident: e_1_2_7_3_1 – ident: e_1_2_7_15_1 doi: 10.1002/nme.1567 – ident: e_1_2_7_6_1 doi: 10.1002/9781119492375 – ident: e_1_2_7_4_1 doi: 10.1016/j.euromechsol.2007.11.008 – ident: e_1_2_7_12_1 doi: 10.1002/nme.4716 – ident: e_1_2_7_2_1 doi: 10.1002/9781118648988 – ident: e_1_2_7_13_1 doi: 10.1002/nag.3537 – ident: e_1_2_7_14_1 doi: 10.1016/j.crme.2010.03.004 – ident: e_1_2_7_10_1 doi: 10.1016/j.jmps.2018.07.018 – ident: e_1_2_7_5_1 doi: 10.1016/S0997-7538(99)00109-6 – volume-title: Elastic, Plastic and Yield Design of Reinforced Structures year: 2017 ident: e_1_2_7_7_1 |
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In this contribution, we present the numerical implementation of the multiphase model in the yield design framework and apply it to estimate the... In this contribution, we present the numerical implementation of the multiphase model in the yield design framework and apply it to estimate the ultimate... |
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Title | Numerical Multiphase Yield Design Modelling of Reinforced Soil Structures: A Focus on the Interaction Between Soil and Inclusions |
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