## A multiscale field theory Nanomicro materials

Xiong Department of Mechanical and Aerospace Engineering The George Washington University, Washington, DC 20052, USA A multiscale field theory is proposed for the application of nano micro materials. Field representation of the conservation equations, stress, strains and stress-strain relation are formulated. Preliminary numerical examples from the new theory are presented. The atomic view of a crystal is considered as a periodic arrangement of local atomic...

## Azo

In equilibrium MD, it is assumed that this time-interval average reliably approxi- mates the time average (A), (a) T,im j A(r(x), p(x))dx, which would be obtained from a measurement performed over an essentially infinite duration, i.e., Am (A) (23) In statistical mechanics a macroscopic quantity is defined as the ensemble average of an instantaneous dynamical function (A) J A(r,p)f (r,p, t)drdp (24) where f is the normalized probability density function, i.e., jjf(r,p, t)drdp 1. Eq. (24)...

## Koj

The presence of the micro-stress intensity factor K cro in Eqs. (9) is reflected via where A2 is given by the second of Eqs. (5). Displayed in Figs. 9, 10 and 11 are the micro-stress intensity factor in Eq. (10) as a function of the ratio h g when the applied shear is fixed at 10MPa. With fixed t2 t1 5 and t1 tm 1, 2, 3 and 4, Fig. 9 shows that Km* stays nearly constant for each ratio Ti T with increasing amplitude of K cro as the shear stress ratio Ti T is increased. The same conclusion can be...

## Info

To examine the effect of interface adhesion (or interphase) properties on CNT-reinforced composites, it is assumed the elastic modulus of the interphase in a reasonable range. The interface phase is considered to be isotropic, with the Young's modulus Es pEm, where P is a nondimensional coefficient. Using the parameters of CNTs and matrix as in Section 2.1, the longitudinal tensile moduli of composites reinforced by aligned CNTs with cr 0.1 are plotted in Fig. 8. As the value of p increases...

## By What Is Lattice Constant Denoted Audi

The obtained equilibrium configurations of dislocation lines when a strong misfit center exists (due the volumetric misfit) are presented in Figs. 8(a) and 8(b). These are obtained by varying the Peierls-Nabarro stress barrier when the applied stress is fixed. Similarly to Fig. 7, the dislocation lines are pinned by the misfit center but two equilibrium solutions can be found for each given materials misfit and applied stress. The first one shows the same trend as that in Fig. 7 but with...

## G2 J

The calculated additional GB resistance Ax at different strain amplitudes is listed in Table 3. It can be seen that Axas is also increased with increasing strain amplitude. From the analysis and calculations above, it seems that the existence of a GBAZ with a higher stress may be responsible for the increase in the cyclic saturation stress and the disappearance of the plateau region in the CSSC of the really grown bicrystal RB. 4. Effects of Crystallographic Orientations and Perpendicular GBs...

## Contributors

Aravas N Department of Mechanical and Industrial Engineering, University of Thessaly, Volos, Greece, Email Aravas mie.uth.gr Bai YL LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China, Email Baiyl lnm.imech.ac.cn Barter SA Defence Science and Technology Organisation Victoria 3207Australia, Email simon.barter dsto.defence.gov.au Chen FG Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100080, China, Email fgchen home.ipe.ac.cn Chen JS Civil amp...