Limit analysis, rammed earth material and Casagrande test

Ranime El-Nabouch; Joseph Pastor; Quoc-Bao Bui; Olivier Plé

doi:10.1016/j.crme.2017.11.007

Limit analysis, rammed earth material and Casagrande test

Ranime El-Nabouch ¹; Joseph Pastor ¹ ; Quoc-Bao Bui ^1,²; Olivier Plé ¹

¹ Université Savoie Mont Blanc, CNRS, LOCIE, 73000 Chambéry, France
² Ton Duc Thang University, Faculty of Civil Engineering, Ho Chi Minh City, Viet Nam

Comptes Rendus. Mécanique, Volume 346 (2018) no. 2, pp. 98-109.

Abstract

The present paper is concerned with the simulation of the Casagrande test carried out on a rammed earth material for wall-type structures in the framework of Limit Analysis (LA). In a preliminary study, the material is considered as a homogeneous Coulomb material, and existing LA static and kinematic codes are used for the simulation of the test. In each loading case, static and kinematic bounds coincide; the corresponding exact solution is a two-rigid-block mechanism together with a quasi-constant stress vector and a velocity jump also constant along the interface, for the three loading cases. In a second study, to take into account the influence of compressive loadings related to the porosity of the material, an elliptic criterion (denoted Cohesive Cam–Clay, CCC) is defined based on recent homogenization results about the hollow sphere model for porous Coulomb materials. Finally, original finite element formulations of the static and mixed kinematic methods for the CCC material are developed and applied to the Casagrande test. The results are the same than above, except that this time the velocity jump depends on the compressive loading, which is more realistic but not satisfying fully the experimental observations. Therefore, the possible extensions of this work towards non-standard direct methods are analyzed in the conclusion section.

Received: 2017-05-08
Accepted: 2017-11-22
Published online: 2018-01-04

DOI: 10.1016/j.crme.2017.11.007

Keywords: Limit analysis, Lower and upper bound methods, Cohesive Cam–Clay material, Micromechanics identification, Casagrande geotechnical test, Conic programming

Author's affiliations:

Ranime El-Nabouch ¹; Joseph Pastor ¹; Quoc-Bao Bui ^{1, 2}; Olivier Plé ¹

¹ Université Savoie Mont Blanc, CNRS, LOCIE, 73000 Chambéry, France
² Ton Duc Thang University, Faculty of Civil Engineering, Ho Chi Minh City, Viet Nam

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     author = {Ranime El-Nabouch and Joseph Pastor and Quoc-Bao Bui and Olivier Pl\'e},
     title = {Limit analysis, rammed earth material and {Casagrande} test},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {98--109},
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     volume = {346},
     number = {2},
     year = {2018},
     doi = {10.1016/j.crme.2017.11.007},
     language = {en},
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Ranime El-Nabouch; Joseph Pastor; Quoc-Bao Bui; Olivier Plé. Limit analysis, rammed earth material and Casagrande test. Comptes Rendus. Mécanique, Volume 346 (2018) no. 2, pp. 98-109. doi : 10.1016/j.crme.2017.11.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2017.11.007/

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