NDLI: Statically admissible stress solutions in gravitating loose earth of wedge and valley with plane slopes inclined at angle of repose

Content Provider	Springer Nature Link
Author	Pipatpongsa, Thirapong
Copyright Year	2013
Abstract	The static problem of loose earth inclined at the angle of repose has been theorized and argued for decades. The theoretical study concerned with Nadai’s closure of polarized principal axes and the assumption of self-similarity for a semi-infinite body in a wedge is reassessed using Airy stress functions with body force. The angle of slope formation is inclined just under the angle of repose, where stress components along the sliding surface satisfy Coulomb’s friction laws. The corrected stress solution for a valley is newly derived, indicating that the state of stress in a valley is in a passive condition, in contrast to that in a wedge, which is in active condition. A particular conjugate relation is found between the wedge and the valley due to their geometry. Though both boundary and equilibrium conditions are satisfied, the derived Airy stress functions are inconsistent with the bi-harmonic equation because load transmission is characterized not by an elliptic equation, but by a hyperbolic equation. This study would prove adequate if the yielding zone along the sliding planes during the deposition process is minimized. Due to the characteristics of self-similarity with Saint-Venant’s principle, stress solutions of infinite problems can estimate those of finite problems.
Starting Page	645
Ending Page	659
Page Count	15
File Format	PDF
ISSN	14345021
Journal	Granular Matter
Volume Number	15
Issue Number	5
e-ISSN	14347636
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-08-18
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Stress analysis Angle of repose Load transmission Granular material Airy stress function Soft and Granular Matter, Complex Fluids and Microfluidics Engineering Fluid Dynamics Materials Science Geoengineering, Foundations, Hydraulics Industrial Chemistry/Chemical Engineering Engineering Thermodynamics, Heat and Mass Transfer
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanics of Materials Materials Science

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