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

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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
Driving forces and boundary conditions in continuum dislocation mechanics
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 459 Số 2034 - Trang 1343-1363 - 2003
Amit Acharya
The critical forms of the attractors for semigroups and the existence of critical attractors
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 454 Số 1976 - Trang 2157-2171 - 1998
Liu De
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
Adhesive contact of the Weierstrass profile
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 471 Số 2182 - Trang 20150248 - 2015
L. Afferrante, M. Ciavarella, G. Demelio
The Weierstrass series was considered in Ciavarellaet al.(Ciavarellaet al.2000Proc. R. Soc. Lond. A456, 387–405. (doi:10.1098/rspa.2000.0522)) to describe a linear contact problem between a rigid fractally rough surface and an elastic half-plane. In such cases, no applied mean pressure is sufficiently large to ensure full contact, and specifically there are not even any contact areas of finite dimension. Later, Gao & Bower (Gao & Bower 2006Proc. R. Soc. A462, 319–348. ( hiện toàn bộ
Bounds on the electrical resistance between contacting elastic rough bodies
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 459 Số 2029 - Trang 53-66 - 2003
J. R. Barber
General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 468 Số 2142 - Trang 1716-1740 - 2012
Yasuhiro Ohta, Jianke Yang
General high-order rogue waves in the nonlinear Schrödinger equation are derived by the bilinear method. These rogue waves are given in terms of determinants whose matrix elements have simple algebraic expressions. It is shown that the general N -th order rogue waves contain N ...... hiện toàn bộ
An asymptotic higher-order theory for rectangular beams
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 474 Số 2214 - Trang 20180001 - 2018
E.V. Nolde, A. V. Pichugin, Julius Kaplunov
A direct asymptotic integration of the full three-dimensional problem of elasticity is employed to derive a consistent governing equation for a beam with the rectangular cross section. The governing equation is consistent in the sense that it has the same long-wave low-frequency behaviour as the exact solution of the original three-dimensional problem. Performance of the new beam equation ...... hiện toàn bộ
The eigenbuckling analysis of hexagonal lattices: closed-form solutions
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 477 Số 2251 - 2021
Sondipon Adhikari
Elastic instability such as the buckling of cellular materials plays a pivotal role in their analysis and design. Despite extensive research, the quantifi- cation of critical stresses leading to elastic instabi- lities remains challenging due to the inherent nonlinearities. We develop an analytical approach considering the spectral decomposition of the elasticity matrix of two-dimensional ...... hiện toàn bộ
Introducing the use of positive and negative inertial functions in asymptotic modelling
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 461 Số 2060 - Trang 2545-2562 - 2005
Sinniah Ilanko
The work presented here shows that the natural frequencies of constrained systems may be obtained from asymptotic models of corresponding systems where the constraints are replaced by artificial mass or moment of inertia of very large positive and negative values. This offers a convenient alternative to the current practice of using artificial elastic restraints of large stiffness, a conce...... hiện toàn bộ
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