Ordering in Cu-Au Alloys: Statics and Dynamics

Author(s):  
Bulbul Chakraborty
Keyword(s):  
2021 ◽  
pp. 108128652110108
Author(s):  
Emilio Turco ◽  
Emilio Barchiesi ◽  
Francesco dell’Isola

This contribution presents the results of a campaign of numerical simulations aimed at better understanding the propagation of longitudinal waves in pantographic beams within the large-deformation regime. Initially, we recall the key features of a Lagrangian discrete spring model, which was introduced in previous works and that was tested extensively as capable of accurately forecasting the mechanical response of structures based on the pantographic motif, both in statics and dynamics. Successively, a stepwise integration scheme used to solve equations of motions is briefly discussed. The key content of the present contribution concerns the thorough presentation of some selected numerical simulations, which focus in particular on the propagation of stretch profiles induced by impulsive loads. The study takes into account different tests, by varying the number of unit cells, i.e., the total length of the system, spring stiffnesses, the shape of the impulse, as well as its properties such as duration and peak amplitude, and boundary conditions. Some conjectures about the form of traveling waves are formulated, to be confirmed by both further numerical simulations and analytical investigations.


2005 ◽  
Vol 27 (3) ◽  
pp. 251-281 ◽  
Author(s):  
Amos Witztum

In a recent paper, R. Ekelund and D. Walker (1996) argue that, “[i]ncentives, utilitarian principles, and the diffusion of property rights are the key to understanding Mill on the statics and dynamics of ‘equity and justice’”(p. 576). Their paper, which deals with John Stuart Mill's views on taxation, reads very much like a modern defense of popular capitalism. From the static point of view, it is imperative not to interfere with the internal relationship between economic variables and thus, distort incentives (proportional income tax). From the dynamic point of view, “inheritance taxes [are] the essential mechanism of an evolutionary change towards an efficiently functioning capitalism” (p. 578, italics added).


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