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Fig.1 shows the schematic drawing of half of the simulated rock.
Fig. 1 Schematic drawing of half of the 3D coupled SPH-FEM model.
Measure point 1 shown in Fig. 1, is near the borehole (40 cm from the centre) and in the crushed zone the damage parameter is equal to 1.
References [1] M.M.
Springer, Dordrecht, (2005) 479

Fig. 1(b) shows the specimens after CEE.
Table 1 Composition of AA6063 Aluminum alloy.
(The microhardness values were 57±1, 59±1, 57±1, 57±1 and 54±1 HV after 2, 4, 6, 8 and 10 passes respectively).
References [1] M.S.
Form. 1 (2008) 479–482

Evolutionary Structural Optimization Using the Minor Value of Material Efficiency Xingguo Hu 1, a, Heming Cheng 1,b 1 Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming, China, 650500 akgtumuhxg@sina.com, bchenghm@public.km.yn.cn Keywords: evolutionary structural optimization; structural topology optimization; minor value of material efficiency; Abstract.
In the traditional ESO, after each iteration calculation, those material whose efficiency value meets with Eq.(1) will be removed, when no material’s efficiency meets with Eq.(1), then the RR will be increased according to Eq.(2).
We can see from Eq. (1) and Eq. (2) that the rejection ration RR can only remain unchanged or increase according to arithmetic sequence, but cannot be decreased.
Obviously, the inefficiency material is specified according to Eq. (1) and Eq. (2) in the traditional ESO, but according to Eq. (3) ~ Eq. (4) in the ESO-MVME.
Example Example 1 A plate subject to a uniformly distributed tension force A design domain of the size 2000×1500×10mm, as shown in Fig. 1, is discretized into 20 x 15 bilinear quadrilateral elements.

Table 1.
Figure 1.
References [1] M.
Forum Vol. 475-479 (2005), p. 755
Gottstein: Intermetallics Vol. 1 (1993), p. 191

Crystallite sizes of the prepared powders were determined by Fourier analysis of single diffraction peaks (the program WINFIT 1.2.1 [10]).
Table 1.
RNP. 2.1.1/11470), Federal Target Program “Research and Research-Pedagogical Personnel of Innovation Russia for 2009-2013”.
References [1] A.
Bartolin, IEEE Trans. on Magn. 2 No.3 (1966) 479

The maximum no-load flux density of stator teeth is 1.598T, that of stator yoke is 1.079T,the maximum load flux density of stator teeth is 1.765T, and that of stator yoke is 1.192T, it can be concluded that they meet the constraints for they are less than 1.8T.
Brmax=1.0325T.
Brmax=1.1403T.
References [1] T.
IEEE Transactions on Magnetics, vol.47, no.2, pp.479-492, 2009

The dissipation factors are about 0.2 % in the frequency range from 1 KHz to 1 MHz.
The general slurry compositions were shown in Table 1.
The dissipation factors are about 0.2 % in the frequency range from 1 KHz to 1 MHz.
References [1] Yan Wang, Yang Liu and Jusheng Ma: Mater.
Forum Vols. 475-479 (2004), p.1763 [2] Yonggang Wang, Guangneng Zhang and Jusheng Ma: Mater.

The DC01 hardening curves obtained by tensile and shear tests are shown in Fig.1.
The crosses in Fig. 1 represent the s-e couples obtained from the indentation test.
σ=σY+Q*(1-exp⁡(-b*εp)).
References [1] D.
Stein, International Journal of Plasticity, 12 (1996) 451-479

The relevant parameters are listed in Table 1.
The points’ distribution map just like the Fig.1 has shown.
References [1]Yuan X X, Wang T Y. 2012.
Photogrammetric Record, 17(99): 465–479
Photogrammetric Engineering & Remote Sensing.2003, 69(1):59-68

The boundary is represented as a unit square a = 1 and the radius of fibre R = 0.8 (Fig. 1).
The uniform load P = 1 is applied at its right side.
References [1] H.J.
Appl Mech Rev. 55 (2010), 1-34
Leitao, Quasi-Monte Carlo mesh-free integration for meshless weak formulations, Eng, Anal, Bound, Elem. 32 (2008), 471-479 [8] V.E.