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A computational multiscale method is proposed to simulate coupled, nonequilibrium thermomechanical processes. This multiscale framework couples together thermomechanical equations at the coarse scale with nonequilibrium molecular dynamics at the fine scale. The novel concept of distributed coarse scale thermostats enables subsets of fine scale atoms to be(More)
Extending the technique of the perfectly matched layer PML to discrete lattice systems, a multiscale method was proposed by To and Li Phys. Rev. B 72, 035414 2005 , which was termed the perfectly matched multiscale simulation PMMS . In this paper, we shall revise the proposed PMMS formulation, and extend it to multiple dimensions. It is shown in numerical(More)
A new subgrid (subscale) finite element method is proposed, which is termed as the variational eigenstrain multiscale method. It combines the essential ideas of Hughes variational multiscale formulation [Comput. Methods Appl. Mech. Engrg. 127 (1995) 387] with Eshelby s inclusion theory [Proc. R. Soc. Lond. A 252 (1957) 561] and Mura s equivalent eigenstrain(More)
In this paper, a cohesive finite element method (FEM) is proposed for a quasi-continuum (QC), i.e. a continuum model that utilizes the information of underlying atomistic microstructures. Most cohesive laws used in conventional cohesive FEMs are based on either empirical or idealized constitutive models that do not accurately reflect the actual lattice(More)
A new stabilized method is proposed for the 2-D Stokes flow problem. The new approach is based on the Variational Multiscale(VM) formulation. The Green’s functions for an infinite domain are adopted to compute the two-scale interaction. The method is shown to be able to stabilized low order Finite Element intepolation pairs and has a formulation similar to(More)
In this study, we apply the newly derived finite Eshelby tensor in a variational multiscale formulation to construct a smart element through a more accurate homogenization procedure. The so-called Neumann– Eshelby tensor for an inclusion in a finite domain is used in the fine scale feedback procedure to take into account the interactions among different(More)
Background: The efficacy of aspirin combined with low molecular weight heparin in the treatment of habitual abortion is controversial. The efficacy of aspirin combined with low molecular weight heparin versus aspirin alone for habitual abortion is still unclear. Aim: The purpose is to compare the efficacy of low molecular weight heparin therapy versus(More)
Mixed-species flocks of birds are distributed world-wide and can be especially dominant in temperate forests during the non-breeding season and in tropical rainforests year-round. We review from a community ecology perspective what is known about the structure and organization of flocks, emphasizing that flocking species tend to be those particularly(More)