Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

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Origin of the scaling laws of sediment transport
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 473 Số 2197 - Trang 20160785 - 2017
Sk Zeeshan Ali, Subhasish Dey
In this paper, we discover the origin of the scaling laws of sediment transport under turbulent flow over a sediment bed, for the first time, from the perspective of the phenomenological theory of turbulence. The results reveal that for the incipient motion of sediment particles, the densimetric Froude number obeys the ‘(1 +  σ ...... hiện toàn bộ
A theorem on the existence of trace-form generalized entropies
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 471 Số 2183 - Trang 20150165 - 2015
Piergiulio Tempesta
An analytic technique is proposed, which allows to generate many new examples of entropic functionals generalizing the standard Boltzmann–Gibbs entropy. Our approach is based on the existence of a group-theoretical structure, which is intimately related with the notion of entropy, as clarified in recent work of the author. The new entropies proposed satisfy the first three Shannon–Khinchin...... hiện toàn bộ
A depth-averaged debris-flow model that includes the effects of evolving dilatancy. II. Numerical predictions and experimental tests
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 470 Số 2170 - Trang 20130820 - 2014
David L. George, Richard M. Iverson
We evaluate a new depth-averaged mathematical model that is designed to simulate all stages of debris-flow motion, from initiation to deposition. A companion paper shows how the model's five governing equations describe simultaneous evolution of flow thickness, solid volume fraction, basal pore-fluid pressure and two components of flow momentum. Each equation contains a source term that re...... hiện toàn bộ
Conformal mapping of some non-harmonic functions in transport theory
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 460 Số 2045 - Trang 1433-1452 - 2004
Martin Z. Bazant
Double twinning mechanisms in magnesium alloys via dissociation of lattice dislocations
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 468 Số 2141 - Trang 1496-1520 - 2012
Irene J. Beyerlein, Jian Wang, Matthew Barnett, C.N. Tomé
In this work, we propose dislocation mechanisms for the formation of double twin structures in hexagonal close packed (HCP) crystals through the nucleation of secondary twins within primary twin domains. The model considers that secondary twins associated with the most commonly observed double twin variants (i.e. type 1 and type 2) nucleate and thicken by a sequence of three distinct dissociation reactions of mixed basal dislocations. Provided that the less frequently observed double twin variants (i.e. type 3 and type 4) also form by a dislocation-based mechanism, we show that their development must proceed by a separate set of dissociation reactions involving pyramidal 〈c+a〉 slip dislocations. Mechanistic, crystallographic and energetic considerations indicate that the type 1 variant should be the most prevalent. The mechanisms proposed here would also apply to the analysis of hiện toàn bộ
On two-phase sediment transport: sheet flow of massive particles
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 460 Số 2048 - Trang 2223-2250 - 2004
Tian‐Jian Hsu, James T. Jenkins, Philip L.‐F. Liu
A two-layer approach to wave modelling
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 460 Số 2049 - Trang 2637-2669 - 2004
Patrick Lynett, Philip L.‐F. Liu
Long–wave forcing by the breaking of random gravity waves on a beach
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 458 Số 2025 - Trang 2177-2201 - 2002
Tom E. Baldock, David A. Huntley
Adaptive importance sampling for risk analysis of complex infrastructure systems
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 462 Số 2075 - Trang 3343-3362 - 2006
Richard Dawson, Jim W. Hall
Complex civil infrastructure systems are typically exposed to random loadings and have a large number of possible failure modes, which often exhibit spatially and temporally variable consequences. Monte Carlo (level III) reliability methods are attractive because of their flexibility and robustness, yet computational expense may be prohibitive, in which case variance reduction methods are ...... hiện toàn bộ
Negative and positive stiffness in auxetic magneto-mechanical metamaterials
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 474 Số 2215 - Trang 20180003 - 2018
Krzysztof K. Dudek, Ruben Gatt, Mirosław R. Dudek, Joseph N. Grima
This work discusses the concept of allowing the control of the stiffness of a particular class of re-entrant auxetic magneto-mechanical metamaterials through the introduction of magnets to the system. It is shown, through experimental testing backed up by a theoretical model, that the appropriate insertion of magnets in such a system will alter its stiffness, possibly even making it exhibi...... hiện toàn bộ
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