Zobrazeno 1 - 10
of 99
pro vyhledávání: '"74h10"'
Autor:
Erfanian, Mozhdeh, Brambley, Edward James, Flanagan, Francis, O'Kiely, Doireann, O'Connor, Alison N.
A new semi-analytic model of the metal rolling process is presented and validated against finite element simulations. The model generalises the classical slab method of modelling cold rolling, and for the first time, is able to predict the through-th
Externí odkaz:
http://arxiv.org/abs/2408.01347
Autor:
Roberts, A. J.
Homogenisation empowers the efficient macroscale system level prediction of physical problems with intricate microscale structures. Here we develop an innovative powerful, rigorous and flexible framework for asymptotic homogenisation of dynamics at t
Externí odkaz:
http://arxiv.org/abs/2407.03483
Autor:
Clayton, John D.
Publikováno v:
Journal of the Mechanics and Physics of Solids, vol. 193, page 105880, year 2024
Localization, in the form of adiabatic shear, is analyzed in viscoplastic solids that may undergo structural transformation driven by pressure, shear stress, temperature, and magnetic field. As pertinent to polycrystalline metals, transformations may
Externí odkaz:
http://arxiv.org/abs/2406.15690
Autor:
Khenner, Mikhail
Surface diffusion and surface electromigration may lead to a morphological instability of thin solid films and nanowires. In this paper two nonlinear analyses of a morphological instability are developed for a single-crystal cylindrical nanowire that
Externí odkaz:
http://arxiv.org/abs/2405.01331
Autor:
Aleksandrova, Nadezhda I.
The aim of this article is to study the attenuation of transient low-frequency waves in 2D lattices of point masses connected by Voigt elements, under an antiplane concentrated loading. The emphasis is on obtaining analytical estimates for solutions
Externí odkaz:
http://arxiv.org/abs/2401.04121
Autor:
Kyzioł, Jan, Okniński, Andrzej
Publikováno v:
Nonlinear Dynamics and Systems Theory 23 (1) (2023) 46-57
We study the jump phenomenon present in the forced asymmetric Duffing oscillator using the known steady-state asymptotic solution. The major result is the computation of the jump manifold, which encodes global information about all possible jumps.
Externí odkaz:
http://arxiv.org/abs/2203.05017
Autor:
Aleksandrova, Nadezhda I.
Publikováno v:
International Journal of Solids and Structures, 234-235, Paper No. 111194, 18 pp. (2022)
The aim of this article is to study the attenuation of transient low-frequency waves in 2D lattices in both plane and antiplane problems. The main idea of this article is that analytical solutions to problems of mechanics of discrete periodic media c
Externí odkaz:
http://arxiv.org/abs/2201.12281
The notion of Inertial Balanced Viscosity (IBV) solution to rate-independent evolutionary processes is introduced. Such solutions are characterized by an energy balance where a suitable, rate-dependent, dissipation cost is optimized at jump times. Th
Externí odkaz:
http://arxiv.org/abs/2109.01562
In this paper we present a theoretical background of a coupled analytical-numerical approach to model a crack propagation process in two-dimensional bounded domains. The goal of the coupled analytical-numerical approach is to obtain the correct solut
Externí odkaz:
http://arxiv.org/abs/2104.08260
Autor:
Kyzioł, Jan, Okniński, Andrzej
Publikováno v:
Acta Phys. Pol. B 52(10) (2021) 1239-1262
We study the Duffing equation and its generalizations with polynomial nonlinearities. Recently, we have demonstrated that metamorphoses of the amplitude response curves, computed by asymptotic methods in implicit form as $F\left( \Omega ,\ A\right) =
Externí odkaz:
http://arxiv.org/abs/2102.04850