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An aggregate homotopy method was given for solving min-max-min programming by Bo Yu el al.

NIE, et al: Natural Gas Industry, Vol. 6(2008) p.48
[4] E.L.
Stark, et al: Geothermics, Vol. 36(2007) No.3, p.185-222
[15] E.L.
[16] E.L.

Schulzeet. al. [5] had compared the machining strategies for drilling holes in chopped glass fiber reinforced polymeric (GFRP) composites.
El-Sonbatyet.al.used “Taylor Hobson Surtronic 3+” to obtain the surface roughness of the drilled holes of GFRP composites and measurements were taken at the middle of the holes wall[9].Varatharajanet. al. [10] used scanning electron microscope (SEM) to characterize the failure mechanisms on the drilled holes of glass fiber reinforced polypropylene (GFRPP) and GFRP composites.
El-gizawy and C.
Faria, et al., Effects of high speed in the drilling of glass fibre reinforced plastic: Evaluation of the delamination factor, Int.
El-Sonbaty, U.A.

Box 179 New Borg El- Arab City, Alexandria 21934, Egypt. 2Environmental Engineering Department, Egypt-Japan University of Science and Technology, P.O.
Box 179 New Borg El- Arab City, Alexandria 21934, Egypt.
El-Badawy, A.
AL-Oqla, S.
Al Jawahery, A.

longitudinal tangential radial Earlywood Latewood Resin Canal Ray a B w1 w L R F 2H Fig. 1 Principle structure of softwood (Poulsen et al. 1997) Fig. 2.
EL and ER are elasticity modulus of orthotropic principal axis.
(1) By keeping EL=16.27GPa, ER=11.03GPa, GLR=1.17GPa, VLR=0.49 and α2=S/Y=9.25/45 fixed, we select strength ratio α1 at 2.0, 2.5, 3.0, 3.5 and 4.0, respectively.
(2) By keeping EL=16.27GPa, ER=11.03GPa, GLR=1.17GPa, VLR=0.49 and α1=X/Y=100/45 fixed, we select strength ratio α2 at 0.1, 0.15, 0.2, 0.25 and 0.3, respectively.
(3) Now we investigate the effect of different toughness ratio r1=EL/ER, r2=ER/GLR on plastic zone.

The order specification for 24, 27 and 31 mm rolled steel plates specified the following requirements to mechanical properties: YS ≥ 448 МPа; TS ≥ 530 МPа; YS/TS ≤ 0.88; El(2 ") ≥ 28 %; CVN-30о C ≥ 130 J; shear area for Charpy test specimens at -30 оС and ВDWTT at -10 оС ≥ 90 % and 85 %, respectively; СТОD ≥ 0.38 mm.
Chemical composition of X65 heats Heat C Mn Si S P Al Ti Nb N CE PCM 1 0.06 1.70 0.26 0.004 0.011 0.020 0.008 0.079 0.009 0.35 0.16 2 0.07 1.62 0.26 0.003 0.010 0.032 0.012 0.076 0.006 0.34 0.16 3 0.07 1.55 0.24 0.003 0.011 0.031 0.010 0.083 0.007 0.34 0.16 4 0.07 1.59 0.18 0.003 0.010 0.040 0.011 0.073 0.005 0.34 0.16 5 0.07 1.62 0.21 0.003 0.012 0.029 0.008 0.077 0.006 0.35 0.16 6 0.06 1.65 0.20 0.004 0.008 0.036 0.012 0.075 0.007 0.34 0.15 Table 2.
Mechanical properties of 24, 27 and 31 mm plates, steel Х65 Shear area Plate thickness, [mm] Heat YS, [MPa] TS, [MPa] YS/ TS El(2"), [%] CVN -30 o C, [J] Charpy -30 oC ВDWTT -10 oC CTOD 0 oC, [mm] 1 565 493 0.87 29 278 100/100 95/95 0.55 24 2 565 492 0.87 30 225 100/100 95/95 0.50 3 565 499 0.88 29 217 100/100 95/95 0.49 27 4 550 488 0.88 30 236 100/100 95/95 0.49 5 540 469 0.87 28 146 100/100 95/95 0.40 31 6 551 483 0.88 32 167 100/100 95/95 0.39 Metallographic examination of X65 plates showed that metal structure in all thicknesses was the combination of fine grain ferrite with the average grain size 12 and perlite in the amount of 5-7 % (Fig. 1, а).
Mechanical properties of X80 plates Plate thickness,mm YS, [MPa] TS, [MPa] El(2"), [%] YS/ TS CVN(-20), [J] Shear area BDWTT -20 oC, [%] C o n t r o l l e d r o l l i n g 16.8 580 670 48 0.87 160-170-170 95 16.8 585 665 49 0.88 196-204-215 90 21.0 560 660 49 0.85 157-168-196 90 21.0 540 665 47 0.81 155-144-118 95 24.9 540 665 47 0.81 155-144-118 90 24.9 535 665 48 0.80 229-210-219 95 C o n t r o l l e d r o l l i n g + t e m p e r i n g , 6 2 0 о С , 0 . 5 h r 24.9 585 684 50 0.85 218-170-210 90 24.9 590 678 45 0.87 200-220-206 100 A P I 5 L ( P S L 2 ) r e q u i r e m e n t s ≥550 ≥620 ≥27 ≤0.92 not specified ≥40 Low values of yield strength were observed in specimens, for which strain-stress diagram appeared continuous without Lueders elongation (Fig. 2, b).
The effect of pipe making on the mechanical properties of X80 plates X80 steel Plate geometry Condition YS, [MPa] TS, [MPa] El (2''), El (5d), [%] YS/TS plate 582 671 44 0.866 pipe 637 694 39 0.917 0.22-0.25 % Мо 3290×21 mm single-seam ∆ +55 +23 -5 +0.051 plate 588 664 22 0.880 pipe 584 670 19 0.877 0.15-0.19 % Мо 1850×16.8 mm double-seam ∆ +4 +6 -3 -0.03 Fig. 4 - The effect of pipe making on the mechanical properties of X80 plates and pipes manufactured of such plates: a, b - with 0.15-0.19 % Мо; c, d - with 0.22-0.25 % Мо; dotted lines - plate; full lines - pipe.

For the purposes of SHM, Monteiro et al (2015) tested mortar mixtures with the addition of graphite.
[4] El-Dieb, A.
S., El-Ghareeb, M.
  [9] El-Dieb, A.
S., El-Ghareeb, M.

Microstructural Evolution and Mechanical Properties during Homogenization and ageing Treatment of Al-Mg-Si Alloy Wire Cold Drawn M.
Farh2,3 1Laboratoire de Génie Energétique et Matériaux, Université de Biskra, Biskra, Algérie 2Laboratoire des composants actif et matériaux, Université Oum el Bouaghi, Algérie 3Département de sciences de la matière, Université de Tebessa, Algérie Keywords: alloys Al-Mg-Si, Precipitation, Heat Treatment, during ageing, homogenization treatment Abstract.
We focus in this work on Al-Mg-Si alloys (6000 series), which have interesting mechanical properties.
The most recent research on Al-Mg-Si alloys focused on the two parameters, natural aging and holding time [1-3].
Aging parameters and composition variations affect considerably the formability of Al–Mg–Si alloys [5, 6].

a force force 13 16 40 b <1 3~4 notch Pure Al AZ91 Fig. 1 Tensile shear schematic of AZ91/Al Al a Fig. 2 SEM image of interface microstructure of AZ91/Al composite (a) and corresponding element line scanning analysis (b) Results and discussion Interface microstructure analysis of AZ91/Al composite.
At the Al side there is a layered gray area.
The Al side are totally composed of pure Al, and AZ91 microstructure is composed of a uniform α-Mg(Al, Zn) solid solution, where α-Mg solidly solute Al and Zn elements.
When the basic solder dissolves into the interface, Al and α-Mg(Al, Zn) naturally dissolve into the interface, and the Al content in the interface microstructure will increase.
Du, E.L.

A composite containing A356 Al alloy as matrix and ZrB2 particles was made in an induction furnace by mixing Al-15Zr and Al-8B master alloys with Zr:B weight ratio of 9:2.
Al-15% Zr and Al-8% B master alloys were first heated up to 1000°C in a graphite crucible by using a medium frequency induction furnace.
XRD patterns of the as-cast ZrB2/Al3Zr composite, formed by the mixture of Al-15Zr and Al-8B master alloys with Zr:B weight ratio of 9:2 at 1000 °C.
SEM image of the as-cast ZrB2/Al3Zr composite, formed by the mixture of Al-15Zr and Al-8B master alloys with Zr:B weight ratio of 9:2 at 1000°C.
Aghajanian: Unitet States Patent, White el al (1989)