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• W2000506443 abstract "Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Didwania A. K., Cantelaube F. and Goddard J. D. 2000Static multiplicity of stress states in granular heapsProc. R. Soc. Lond. A.4562569–2588http://doi.org/10.1098/rspa.2000.0626SectionRestricted accessResearch articleStatic multiplicity of stress states in granular heaps A. K. Didwania A. K. Didwania Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411, USA Google Scholar Find this author on PubMed Search for more papers by this author , F. Cantelaube F. Cantelaube Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411, USA Google Scholar Find this author on PubMed Search for more papers by this author and J. D. Goddard J. D. Goddard Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411, USA Google Scholar Find this author on PubMed Search for more papers by this author A. K. Didwania A. K. Didwania Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411, USA Google Scholar Find this author on PubMed Search for more papers by this author , F. Cantelaube F. Cantelaube Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411, USA Google Scholar Find this author on PubMed Search for more papers by this author and J. D. Goddard J. D. Goddard Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411, USA Google Scholar Find this author on PubMed Search for more papers by this author Published:08 November 2000https://doi.org/10.1098/rspa.2000.0626This article has a CorrectionCorrectionCorrection for Didwania et al., Static multiplicity of stress states in granular heapshttps://doi.org/10.1098/rspa.2001.2001 A. K. Didwania, F. Cantelaube and J. D. Goddard volume 457issue 2016Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences08 December 2001AbstractAs a summary and extension of previous work on arching in granular heaps, an analysis is given of statically admissible stress distributions in infinite planar wedges and axisymmetric cones composed of an isotropic linear–elastic material subject to a noncohesive Mohr–Coulomb yield criterion. The treatment is based on a combination of analytical solutions for elastic and simple plastic states, together with numerical integration of the (Sokolovskii–Kötter) ordinary differential equations appropriate to more complex plastic states. For wedges, we obtain a one–parameter family of continuous elastoplastic solutions, with only three isolated symmetric solutions for symmetric wedges, one of which has a central pressure dip or 'arch'. For axisymmetric cones subject to a well–known closure for plastic hoop stress, only one continuous elastoplastic state is found, and it exhibits an arch. In addition to the above continuous solutions, a class of discontinuous plastic–limit states is considered, which exhibit a central pressure dip associated with the discontinuous transition from active to passive states proposed by Savage. The only solutions of this type found for symmetric wedges and cones involve central pressure dips. A brief discussion is given of the relation of this work to an extensive recent literature on the central pressure dip observed in certain experiments on granular heaps. Next Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetailsCited by Nguyen T and Pipatpongsa T (2020) Plastic behaviors of asymmetric prismatic sand heaps on the verge of failure, Mechanics of Materials, 10.1016/j.mechmat.2020.103624, 151, (103624), Online publication date: 1-Dec-2020. Wanjala S, Pipatpongsa T and Nguyen T (2020) Experimental realization of incipient active failure in sand heap by seismic loading, Granular Matter, 10.1007/s10035-020-1007-2, 22:2, Online publication date: 1-May-2020. Nguyen T, Pipatpongsa T, Kitaoka T and Ohtsu H (2019) Stress distribution in conical sand heaps at incipient failure under active and passive conditions, International Journal of Solids and Structures, 10.1016/j.ijsolstr.2018.04.001, 168, (1-12), Online publication date: 1-Aug-2019. Pipatpongsa T, Matsushita T, Tanaka M, Kanazawa S and Kawai K (2014) Theoretical and experimental studies of stress distribution in wedge-shaped granular heaps, Acta Mechanica Solida Sinica, 10.1016/S0894-9166(14)60014-8, 27:1, (28-40), Online publication date: 1-Feb-2014. Ai J, Ooi J, Chen J, Rotter J and Zhong Z (2013) The role of deposition process on pressure dip formation underneath a granular pile, Mechanics of Materials, 10.1016/j.mechmat.2013.08.005, 66, (160-171), Online publication date: 1-Nov-2013. Pipatpongsa T (2013) Statically admissible stress solutions in gravitating loose earth of wedge and valley with plane slopes inclined at angle of repose, Granular Matter, 10.1007/s10035-013-0439-3, 15:5, (645-659), Online publication date: 1-Oct-2013. Ai J, Chen J and Ooi J (2013) Finite element simulation of the pressure dip in sandpiles, International Journal of Solids and Structures, 10.1016/j.ijsolstr.2012.12.006, 50:6, (981-995), Online publication date: 1-Mar-2013. Pipatpongsa T and Ohta H (2013) Threshold of Friction Stabilizes Self-Weight Transmission in Gravitating Loose Sand Heaps Geotechnical Predictions and Practice in Dealing with Geohazards, 10.1007/978-94-007-5675-5_13, (199-213), . Ai J, Chen J, Rotter J and Ooi J (2010) Numerical and experimental studies of the base pressures beneath stockpiles, Granular Matter, 10.1007/s10035-010-0215-6, 13:2, (133-141), Online publication date: 1-Apr-2011. Roul P, Schinner A and Kassner K (2011) Discrete-Element Computation of Averaged Tensorial Fields in Sand Piles Consisting of Polygonal Particles, Geotechnical and Geological Engineering, 10.1007/s10706-011-9406-0, 29:4, (597-610), Online publication date: 1-Jul-2011. Roul P, Schinner A and Kassner K (2010) Mechanical properties of non-cohesive polygonal particle aggregates, Granular Matter, 10.1007/s10035-010-0228-1, 13:4, (303-317), Online publication date: 1-Aug-2011. Roul P, Schinner A and Kassner K (2011) Simulation of the strain distribution under a two-dimensional sand pile, Powder Technology, 10.1016/j.powtec.2011.08.039, 214:3, (406-414), Online publication date: 1-Dec-2011. Sadrekarimi J and Abbasnejad A (2010) Arching effect in fine sand due to base yielding, Canadian Geotechnical Journal, 10.1139/T09-107, 47:3, (366-374), Online publication date: 1-Mar-2010. Pipatpongsa T, Heng S, Iizuka A and Ohta H (2010) Statics of loose triangular embankment under Nadai’s sand hill analogy, Journal of the Mechanics and Physics of Solids, 10.1016/j.jmps.2010.07.013, 58:10, (1506-1523), Online publication date: 1-Oct-2010. Roul P and Schinner A (2010) Simulation study on micro and macro mechanical behaviour of sand piles, Powder Technology, 10.1016/j.powtec.2010.07.026, 204:1, (113-123), Online publication date: 1-Dec-2010. Roul P, Schinner A and Kassner K Micro and Macro Aspects of the Elastoplastic Behaviour of Sand Piles Micro-Macro-interaction, 10.1007/978-3-540-85715-0_16, (207-219) Cox G, Thamwattana N, McCue S and Hill J (2008) Coulomb–Mohr Granular Materials: Quasi-static Flows and the Highly Frictional Limit, Applied Mechanics Reviews, 10.1115/1.2987874, 61:6, Online publication date: 1-Nov-2008. McNamara S and Herrmann H (2006) Quasirigidity: Some uniqueness issues, Physical Review E, 10.1103/PhysRevE.74.061303, 74:6 Al Hattamleh O, Muhunthan B and Zbib H (2005) Stress distribution in granular heaps using multi-slip formulation, International Journal for Numerical and Analytical Methods in Geomechanics, 10.1002/nag.435, 29:7, (713-727), Online publication date: 1-Jun-2005. Michalowski R (2005) Coefficient of Earth Pressure at Rest, Journal of Geotechnical and Geoenvironmental Engineering, 10.1061/(ASCE)1090-0241(2005)131:11(1429), 131:11, (1429-1433), Online publication date: 1-Nov-2005. Atman A, Brunet P, Geng J, Reydellet G, Claudin P, Behringer R and Clément E (2005) From the stress response function (back) to the sand pile “dip”, The European Physical Journal E, 10.1140/epje/i2005-10002-2, 17:1, (93-100), Online publication date: 1-May-2005. Michalowski R and Park N (2004) Admissible stress fields and arching in piles of sand, Géotechnique, 10.1680/geot.2004.54.8.529, 54:8, (529-538), Online publication date: 1-Oct-2004. Related articlesCorrection for Didwania et al., Static multiplicity of stress states in granular heaps08 December 2001Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences This Issue08 November 2000Volume 456Issue 2003 Article InformationDOI:https://doi.org/10.1098/rspa.2000.0626Published by:Royal SocietyPrint ISSN:1364-5021Online ISSN:1471-2946History: Published online08/11/2000Published in print08/11/2000 License: Citations and impact Keywordsarchingelastoplastic statesstatic indeterminacygranular heaps" @default.
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