块体非晶合金变形过程中结构演化的原位研究elscdn

1、supplemental materials for “bridging shear transformation zone to the atomic structure of amorphous solids”meng zhang, yun jiang wang, and lan hong dai* all correspondence should be addressed to: lhdai (l.h. dai)state key laboratory of nonlinear mechanics, institute of mechanics, chinese academy of

2、sciences, beijing 100190, chinai. collections of the reported length scale dependent strain of amorphous alloys in literatureslength scale dependent strain of 4 amorphous alloys in tension1:dashed line indicates the strain measured by extensor meter and the data points are atomic strain measured fro

3、m peak shifts of radial distribution function (rdf) in the scattering tests.length scale dependent strain of bmg 2: zr46.5cu45al7ti1.5dashed line indicates the strain measured by extensor meter and the data points are atomic strain measured from peak shifts of radial distribution function (rdf) in t

4、he scattering tests.length scale dependent strain of bmg 3: zr57ti5ni8al10cu20dashed line indicates the strain measured by extensor meter and the data points are atomic strain measured from peak shifts of radial distribution function (rdf) in the scattering tests.length scale dependent strain of bmg

5、 4: zr57ti5ni8al10cu20the data points are atomic strain measured from peak shifts of radial distribution function (rdf) in the scattering tests.length scale dependent strain of bmg 5: zr62al8ni13cu17 and la62al14(cu5/6ag1/6)14co5ni5the data points are atomic strain measured from peak shifts of radia

6、l distribution function (rdf) in the scattering tests.from these reported results, it can be seen that the length scale dependent strain develops with increasing stress level in a length scale of 01.6 nm corresponding to the 26 shells of atoms on the radial distribution function (rdf) and reflects t

7、he anelastic atom rearrangements of different shells as proved in the ref. 3. this scale of 12nm encompasses well the size of the shear transformation zones recognized.ii. energy barrier density of amorphous alloystable si. mechanical properties of amorphous alloys in the literature6alloyygbvsytgw/w

8、1.zr41.2ti13.8ni10cu12.5be22.55.99534.1114.10.3521.866180.061682.zr48nb8ni12cu14be186.793.934.31180.3671.956200.067393.zr55ti5cu20ni10al106.6285311180.3751.636250.05214.zr57.5nb5cu15.4ni12al106.584.730.8117.60.3791.586630.049275.zr55al19co19cu76.2101.737.6114.90.3522.27330.078256.pd40cu30ni10p209.28

9、9234.5151.80.3991.725930.052137.pd40cu30ni10p209.2892331460.3941.725930.05458.pd40cu30ni10p209.39235.8144.70.3941.755950.0529.pd60cu20p209.789132.31670.4091.76040.0543910.pd40cu40p209.39333.21580.4021.755480.0560811.ni45ti20zr25al106.4109.340.2129.60.3592.377910.0849412.ni40ti17zr28al10cu56.48127.64

10、7.3140.70.3492.598620.0862213.ni60nb35sn58.64183.766.322670.3853.858850.1358714.ni60sn6(nb0.8ta0.2)349.24161.359.411890.3573.58750.1253515.ni60sn6(nb0.8ta0.2)349.8163.760.1197.60.3613.588820.1296416.cu64zr368.079234104.30.35227870.0715217.cu46zr547.6283.530128.50.3911.46960.0397218.cu46zr42al7y57.23

11、84.631104.10.3641.67130.050219.pd77.5cu6si16.510.489.731.81660.4091.55500.0430120.pt60ni15p2515.796.133.82020.421.44880.0352521.pt57.5cu14.7ni5p22.815.295.733.4243.20.4341.454900.0382722.pd64ni16p2010.191.932.71660.4051.554520.0446623.mg65gd10cu254.0449.118.646.30.320.984280.0313924.la55al25cu10ni5c

12、o5641.915.644.20.3420.854300.0281625.ce70al10ni10cu106.6730.311.5270.3130.653590.0223326.cu50hf43al71111342132.80.3582.27740.0700627.cu57.5hf27.5ti159.9110337.3117.50.3561.947290.0613428.fe61mn10cr4mo6er1c15b66.89193751460.284.168700.1402729.fe53cr15mo14er1c15b66.92195751800.324.28600.1429830.au49.5

13、ag5.5pd2.3cu26.9si16.311.674.426.5132.30.4061.24050.0330331.au55cu25si2012.269.824.6139.80.41713480.02471: density (g/cm3)y: youngs modulus (gpa)g: shear modulus (gpa)b: bulk modulus (gpa)v: poisson ratiosy: yielding stress (gpa)tg : glass transition temperature (k)w/w: activation energy of shear tr

14、ansformation zone/ activation volume (gj/m3)references1 x. d. wang, j. bednarcik, h. franz, h. b. lou, z. h. he, q. p. cao, and j. z. jiang, applied physics letters 94, 011911 (2009).2 l. y. chen, b. z. li, x. d. wang, f. jiang, y. ren, p. k. liaw, and j. z. jiang, acta materialia 61, 1843 (2013).3

15、u. k. vempati, p. k. valavala, m. l. falk, j. almer, and t. c. hufnagel, physical review b 85, 214201 (2012).4 t. c. hufnagel, r. t. ott, and j. almer, physical review b 73, 064204 (2006).5 x. d. wang, j. bednarcik, k. saksl, h. franz, q. p. cao, and j. z. jiang, applied physics letters 91 (2007).6

16、m. w. chen, in annual review of materials research (annual reviews, palo alto, 2008), vol. 38, p. 445.iii. calculation of the fraction of the anelastic strainthe original figure is snapshot from the reference (vempati, et al., prb 85, 214201 (2012).fig. iii. 1 length scale dependent strain from scat

17、tering test snapshot from the reference (vempati, et al., prb 85, 214201 (2012)step 1: we calculate the image pixels in the area between the red solid line and the level dashed black line with adobe photoshop, and also pixels in the area of the rectangle surrounded by the black dashed line to the el

18、astic strain of 0 on the longitude axis (as indicated above).fig. iii. 2 snapshot from the reference (vempati, et al., prb 85, 214201 (2012)using the magnetic selecting tool to choose the area as shown above, calculate the image pixels in this area to be: 11917 (to line b) and 8774 (to line a).then calculate the rectangle area, anelastic deformation in tension: line b: 43688+39974=83662=14%; line a: 24768+22451=47219=18.6%fig. iii. 3 snapshot from the reference (vempati, et al., prb 85, 214201 (2012)the calculated anelastic deformation in pure shear: 1413/12096=11.