The Journal of
the Korean Journal of Metals and Materials

The Journal of
the Korean Journal of Metals and Materials

Monthly
  • pISSN : 1738-8228
  • eISSN : 2288-8241

Editorial Office


  1. ์ธํ•˜๋Œ€ํ•™๊ต ์‹ ์†Œ์žฌ๊ณตํ•™๊ณผ (Department of Material Science and Engineering, Inha University, Incheon 22212, Republic of Korea)
  2. ใˆœ์—์ฝ”ํ”„๋กœ ์—ฐ๊ตฌ์†Œ (Ecopro, Cheongju 28116, Republic of Korea)
  3. ์•„์Šคํ”Œ๋กœ ์—ฐ๊ตฌ์†Œ (Asflow, Hwaseong 18522, Republic of Korea)
  4. ์žฌ๋ฃŒ์—ฐ๊ตฌ์†Œ (Korea Institute of Materials Science, Changwon 51508, Republic of Korea)



block Ni-Cr-Al foam, superalloy foam, structural characteristics, powder alloying process, mechanical asymmetry

1. ์„œ ๋ก 

๊ฐœ๊ธฐ๊ณต ๋‹ค๊ณต์ฒด(Open-cell foam)๋Š” ๋„“์€ ํ‘œ๋ฉด์ , ๋‚ฎ์€ ์—ด ์šฉ๋Ÿ‰, ๋†’์€ ์—๋„ˆ์ง€ ํก์ˆ˜ ๋Šฅ๋ ฅ, ๊ทธ๋ฆฌ๊ณ  ์•ก์ฒด ๋˜๋Š” ๊ธฐ์ฒด ํˆฌ๊ณผ์„ฑ์ด ๋›ฐ์–ด๋‚œ ์†Œ์žฌ์ด๋‹ค [1]. ์ด๋Ÿฌํ•œ ๊ธฐ๋Šฅ์  ํŠน์ง•์œผ๋กœ ์ธํ•˜์—ฌ ๊ธˆ์† ๋‹ค๊ณต์ฒด(metallic foam)๋Š” ๋ฐฉ์—ด ๋ถ€ํ’ˆ, ์ง„๋™ ๊ฐ์‡  ์žฌ๋ฃŒ, ๊ณ ์˜จ์šฉ ํ•„ํ„ฐ ๊ทธ๋ฆฌ๊ณ  ํ™”ํ•™ ์ด‰๋งค ์‚ฐ์—…์˜ ๋‹ด์ฒด ๋“ฑ ๋„“์€ ์ ์šฉ ๋ถ„์•ผ์—์„œ ์ ์šฉ๋˜๊ณ  ์žˆ๋‹ค [2-5]. ํŠนํžˆ ๊ธˆ์† ๋‹ค๊ณต์ฒด๋Š” ํด๋ฆฌ๋จธ ๋‹ค๊ณต์ฒด๋ณด๋‹ค ๊ณ ์˜จ ํŠน์„ฑ์ด ์šฐ์ˆ˜ํ•˜๊ณ  ์„ธ๋ผ๋ฏน ๋‹ค๊ณต์ฒด๋ณด๋‹ค ๋†’์€ ์ธ์„ฑ์„ ๋‚˜ํƒ€๋‚ด๊ธฐ ๋•Œ๋ฌธ์— ๊ธฐ๋Šฅ์ ์ธ ๋ถ€๋ถ„๊ณผ ๋”๋ถˆ์–ด ๊ธฐ๊ณ„์  ํŠน์„ฑ์ด ์š”๊ตฌ๋˜๋Š” ๋ถ„์•ผ์— ์ ํ•ฉํ•˜๋‹ค.

Ni-Cr-Al ํ•ฉ๊ธˆ์€ ๊ณ ์˜จ ๊ธฐ๊ณ„์  ํŠน์„ฑ, ํฌ๋ฆฝ ํŠน์„ฑ ๊ทธ๋ฆฌ๊ณ  ์‚ฐํ™” ์ €ํ•ญ์„ฑ์ด ์šฐ์ˆ˜ํ•˜์—ฌ ๊ณ ์˜จ์šฉ ๊ตฌ์กฐ ์žฌ๋ฃŒ๋กœ ๋งŽ์ด ์‚ฌ์šฉ๋˜๊ณ  ์žˆ๋‹ค [6-9]. ์ด๋Ÿฌํ•œ ์ด์œ ๋กœ Ni๊ณ„ ์ดˆํ•ฉ๊ธˆ ๊ธˆ์† ๋‹ค๊ณต์ฒด๋ฅผ ์ œ์กฐํ•˜๊ณ  ์‹ค์ œ ๋ถ€ํ’ˆ์œผ๋กœ ์ ์šฉํ•˜๋ ค๋Š” ์‹œ๋„๊ฐ€ ์ง„ํ–‰๋˜์—ˆ๋‹ค. ์ดˆํ•ฉ๊ธˆ ๋‹ค๊ณต์ฒด๋ฅผ ์ œ์กฐํ•˜๊ณ ์ž electron-beam directed vapor deposition [10], casting replication method [11], slurry foaming process [12], combustion synthesis [13], powder sintering [14], spark plasma sintering [15], pack-cementation [16-19] ๋“ฑ๊ณผ ๊ฐ™์ด ๋‹ค์–‘ํ•œ ๊ณต์ •์ด ์ ์šฉ, ์‹œ๋„๋˜์—ˆ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ์ƒ๊ธฐ ๋ฐฉ๋ฒ•๋“ค์€ ๋‹ค๊ณต์ฒด์˜ ๊ธฐ๊ณต ํฌ๊ธฐ ๋ฐ ํ•ฉ๊ธˆ ์›์†Œ์˜ ๋ถ„ํฌ๋ฅผ ์ œ์–ดํ•˜๊ธฐ ๋‚œํ•ดํ•˜๋‹ค๋Š” ๋ฌธ์ œ์ ์ด ์žˆ์œผ๋ฉฐ ๋†’์€ ๊ณต์ • ๋น„์šฉ๊ณผ ๊ณต์ • ์ค‘ ์˜ค์—ผ๊ณผ ๊ฐ™์€ ๋‹จ์ ์ด ์žˆ๋‹ค. ์ƒ๋Œ€์ ์œผ๋กœ ๊ทผ๋ž˜์— ๊ฐœ๋ฐœ๋œ pack-cementation ๊ณต์ •์œผ๋กœ ์ œ์กฐ๋œ Ni-Cr๊ณ„ ๋˜๋Š” Ni-Cr-Al๊ณ„ ํ•ฉ๊ธˆ ๋‹ค๊ณต์ฒด์˜ ๊ฒฝ์šฐ์—๋„ ์ง€์ฃผ(strut) ๋‚ด๋ถ€์—์„œ ๋ถˆ๊ท ์ผ ํ•ฉ๊ธˆ ์›์†Œ ๋ถ„ํฌ๋ฅผ ๋ณด์ด๊ณ  ์žˆ์œผ๋ฉฐ, ํ•ฉ๊ธˆ ์กฐ์„ฑ์ด ๊ณต์ • ์‹œ๊ฐ„์— ๋”ฐ๋ผ ๋ณ€ํ™”ํ•  ์ˆ˜ ์žˆ์–ด ์ •๋ฐ€ํ•œ ์กฐ์„ฑ ์ œ์–ด๊ฐ€ ์–ด๋ ต๋‹ค [16-19]. ๋˜ํ•œ ์ƒ๊ธฐ ๊ณต์ •์€ ์ˆ˜ cm ์ดํ•˜์˜ ์†Œํ˜• ๋‹ค๊ณต์ฒด ์ œ์กฐ๋ฅผ ์‹œ๋„ํ•œ ์—ฐ๊ตฌ์ด๊ธฐ ๋•Œ๋ฌธ์— ์‹ค์ œ ์ค‘ํ˜• ๋ฐ ๋Œ€ํ˜• ์ดˆํ•ฉ๊ธˆ ๋‹ค๊ณต์ฒด์˜ ์ œ์กฐ, ๋ถ€ํ’ˆ ์ ์šฉ ์‚ฌ๋ก€๋Š” ๋ถ€์กฑํ•œ ์‹ค์ •์ด๋‹ค.

๋น„๊ต์  ์ตœ๊ทผ์— ๊ฐœ๋ฐœ๋œ ๋ถ„๋ง ํ•ฉ๊ธˆ๋ฒ•์„ ์ด์šฉํ•œ ๋‹ค๊ณต์ฒด ์ œ์กฐ ๊ณต์ •์€ ๊ธฐ์กด ๋‹ค๊ณต์ฒด ์ œ์กฐ ๊ณต์ •์— ๋น„ํ•˜์—ฌ ํ•ฉ๊ธˆ ์กฐ์„ฑ๊ณผ ๊ธฐ๊ณต์˜ ํฌ๊ธฐ, ํ˜•ํƒœ, ๋ถ„ํฌ๋ฅผ ์‰ฝ๊ณ  ๊ท ์ผํ•˜๊ฒŒ ์ œ์–ดํ•  ์ˆ˜ ์žˆ๋‹ค๋Š” ์žฅ์ ์„ ๊ฐ€์ง„๋‹ค [20]. ๋˜ํ•œ ํ‘œ๋ฉด์  ์ฆ๊ฐ€์— ์˜ํ•œ ์ด‰๋งค ํšจ์œจ ํ–ฅ์ƒ, ํ•ฉ๊ธˆํ™”๋ฅผ ํ†ตํ•œ ๊ณ ์˜จ ๊ธฐ๊ณ„์  ํŠน์„ฑ์˜ ๊ฐœ์„ ์ด ๊ฐ€๋Šฅํ•ด์ ธ ์—ฌ๋Ÿฌ ์‘์šฉ ๋ถ„์•ผ์˜ ์š”๊ตฌ ์‚ฌํ•ญ์— ๋งž์ถ”์–ด ์ตœ์ ํ™” ์‹œํ‚ฌ ์ˆ˜ ์žˆ๋‹ค. ๊ทธ๋Ÿผ์—๋„ ๋ถˆ๊ตฌํ•˜๊ณ  ์ค‘ํ˜• ๋ฐ ๋Œ€ํ˜• ๋ถ€ํ’ˆ์„ ์œ„ํ•œ ๋‘๊บผ์šด ๊ธˆ์† ๋‹ค๊ณต์ฒด์˜ ๊ฒฝ์šฐ์—๋Š” ๋‹ค๋ฅธ ๊ธฐ์กด ๊ณต์ •๊ณผ ์œ ์‚ฌํ•˜๊ฒŒ ์กฐ์„ฑ ์ œ์–ด๊ฐ€ ์‰ฝ์ง€ ์•Š๋‹ค๋Š” ํ•œ๊ณ„๊ฐ€ ์—ฌ์ „ํžˆ ์กด์žฌํ•œ๋‹ค. ์ฆ‰, ์ •๋ฐ€ํ•œ ์กฐ์„ฑ ์ œ์–ด๊ฐ€ ๊ฐ€๋Šฅํ•œ ์ดˆํ•ฉ๊ธˆ ๋‹ค๊ณต์ฒด์˜ ์ œ์กฐ, ์ ์šฉ์ฒ˜์— ๋งž๋Š” ๋‹ค๊ณต์ฒด์˜ ๋Œ€ํ˜•ํ™”, ๊ทธ๋ฆฌ๊ณ  ์ œ์กฐ๋œ ์†Œ์žฌ๋“ค์˜ ๊ธฐ๊ณ„์  ๋ฌผ์„ฑ ๋“ฑ์€ ์ดˆํ•ฉ๊ธˆ ๋‹ค๊ณต์ฒด์˜ ์‹ค์ œ ๋ถ€ํ’ˆ ์ ์šฉ์„ ์œ„ํ•ด ์ค‘์š”ํ•˜๊ฒŒ ์ธ์‹๋˜๊ณ  ์žˆ์œผ๋‚˜ ํ˜„์žฌ๊นŒ์ง€ ๋ถ€์กฑํ•œ ์‹ค์ •์ด๋‹ค [21-23].

๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” ๋ถ„ํ•ฉ ํ•ฉ๊ธˆ๋ฒ•์„ ์ด์šฉํ•˜์—ฌ ์ œ์กฐ๋œ ์‹œํŠธ ๋‹ค๊ณต์ฒด๋ฅผ ์ด์šฉํ•˜์—ฌ ์ƒˆ๋กญ๊ฒŒ ๋Œ€ํ˜• ๋ธ”๋ก Ni-Cr-Al ์ดˆํ•ฉ๊ธˆ ๋‹ค๊ณต์ฒด ์ œ์กฐ๋ฅผ ์‹œ๋„ํ•˜์˜€์œผ๋ฉฐ, ์ œ์กฐ๋œ ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด์˜ ๊ตฌ์กฐ์  ํŠน์ง•๊ณผ ํ•จ๊ป˜ ๊ธฐ๊ณ„์  ํŠน์„ฑ ๋น„๋Œ€์นญ์„ฑ(์ธ์žฅ ๋ฐ ์••์ถ• ์ฐจ์ด)์„ ์กฐ์‚ฌํ•˜์˜€๋‹ค. ๋˜ํ•œ ์ด๋ฅผ ๋‹ค๊ณต์ฒด์˜ ๊ตฌ์กฐ์  ๋ฐ ๋ฏธ์„ธ์กฐ์งํ•™์  ํŠน์ง•๊ณผ ์—ฐ๊ณ„ํ•˜์—ฌ ํ•ด์„ํ•˜๊ณ ์ž ํ•˜์˜€๋‹ค.

2. ์‹คํ—˜ ๋ฐฉ๋ฒ•

๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” ๋‹ค์ธต ์ ์ธต ๋ธ”๋ก Ni-Cr-Al ๊ธˆ์† ๋‹ค๊ณต์ฒด ์ œ์กฐ๋ฅผ ์œ„ํ•˜์—ฌ 4.8 ~ 5 mm ๋‘๊ป˜์˜ Ni-Cr-Al ์‹œํŠธ (sheet) ๋‹ค๊ณต์ฒด ์†Œ์žฌ๋ฅผ ์‚ฌ์šฉํ•˜์˜€๋‹ค. Ni-Cr-Al ์‹œํŠธ ๋‹ค๊ณต์ฒด ์ œ์กฐ๋ฅผ ์œ„ํ•ด์„œ๋Š” ๋จผ์ € ๊ฐœ๊ธฐ๊ณต์„ ๊ฐ€์ง€๋Š” ํด๋ฆฌ๋จธ ๋‹ค๊ณต์ฒด ํ‘œ๋ฉด์— ์ „๊ธฐ ๋„๊ธˆ๋ฒ•์œผ๋กœ ์ˆœ์ˆ˜ Ni์„ ๋„๊ธˆํ•˜์˜€๋‹ค. ์ œ์กฐ๋œ ์ˆœ์ˆ˜ Ni ๋‹ค๊ณต์ฒด๋Š” ์•ฝ 3000 ฮผm์˜ ํ‰๊ท  ๊ธฐ๊ณต ํฌ๊ธฐ๋ฅผ ๋‚˜ํƒ€๋‚ด๋ฉฐ ์‚ผ๊ฐ ํŒŒ์ดํ”„ ํ˜•ํƒœ์˜ ์ง€์ฃผ(strut)๊ฐ€ 12 ๋ฉด์ฒด (dodecahedron)๊ณผ 14๋ฉด์ฒด (tetrakaidecahedron)๊ฐ€ ํ˜ผ์žฌ๋œ Weaire-Phelan bubble ํ˜•ํƒœ๋กœ ๊ตฌ์„ฑ๋˜์–ด ์žˆ์—ˆ๋‹ค. ์ œ์กฐ๊ฐ€ ๋œ ์ˆœ์ˆ˜ Ni ๋‹ค๊ณต์ฒด์— ๋ฐ”์ธ๋”(binder)์™€ ํ•ฉ๊ธˆ ๋ถ„๋ง์„ ๋„ํฌํ•˜์˜€๋‹ค. ๊ทธ๋ฆฌ๊ณ  ๋””๋ฐ”์ธ๋”ฉ (de-binding) ๋ฐ ์ „์ด ์•ก์ฒด์ƒ ์†Œ๊ฒฐ (transient liquid phase sintering) ์—ด์ฒ˜๋ฆฌ๋ฅผ ํ†ตํ•˜์—ฌ Ni-11.45%Cr-4.56%Al (wt%) ์กฐ์„ฑ์˜ Ni-Cr-Al ํ•ฉ๊ธˆ ๋‹ค๊ณต์ฒด๋ฅผ ์ œ์กฐํ•˜์˜€๋‹ค. ์ด ํ›„, ์ƒ๊ธฐ ์‹œํŠธ ๋‹ค๊ณต์ฒด 20 ๊ฐœ๋ฅผ ์ ์ธตํ•˜์˜€๊ณ  ๊ณ ์˜จ ์••์—ฐ์„ ์ˆ˜ํ–‰ํ•˜์—ฌ ์••์ถ•๋ฅ  37.5% ๋กœ ์ตœ์ข… 300 (ํญ ๋ฐฉํ–ฅ, width direction WD) ร— 500 (์••์—ฐ ๋ฐฉํ–ฅ, rolling direction RD) ร— 60 (๋‘๊ป˜ ๋ฐฉํ–ฅ, normal direction ND) (mm) ํฌ๊ธฐ์˜ ๋ธ”๋ก Ni-Cr-Al ๊ธˆ์† ๋‹ค๊ณต์ฒด๋ฅผ ์ œ์กฐํ•˜์˜€๋‹ค (๊ทธ๋ฆผ 1 (a)).

๋ธ”๋ก ํ˜•ํƒœ์˜ Ni-Cr-Al ํ•ฉ๊ธˆ ๋‹ค๊ณต์ฒด์˜ ๊ธฐ๊ณต ๊ตฌ์กฐ์™€ ์ง€์ฃผ(strut) ํ‘œ๋ฉด ํ˜•ํƒœ๋ฅผ ์ฃผ์‚ฌ ์ „์ž ํ˜„๋ฏธ๊ฒฝ (scanning electron microscopy, SEM, TESCAN, VEGA II)์œผ๋กœ ๊ด€์ฐฐํ•˜์˜€์œผ๋ฉฐ ์ด๋ฏธ์ง€ ๋ถ„์„ ํ”„๋กœ๊ทธ๋žจ์„ ์ด์šฉํ•˜์—ฌ ํ‰๊ท  ๊ธฐ๊ณต ํฌ๊ธฐ(average pore size), ์ง€์ฃผ ๋‘๊ป˜(strut thickness), ์ง€์ฃผ ๋ฒฝ๋ฉด ๋‘๊ป˜(strut wall thickness)๋ฅผ ์ธก์ •ํ•˜์—ฌ ๋น„๊ตํ•˜์˜€๋‹ค. Ni-Cr-Al ๊ธˆ์† ๋‹ค๊ณต์ฒด์˜ ์ƒ ๋ถ„์„์„ ์œ„ํ•˜์—ฌ X-์„  ํšŒ์ ˆ(X-ray diffraction, XRD, RIGAKU D2000) ๋ถ„์„์„ ์ˆ˜ํ–‰ํ•˜์˜€๋‹ค. ๋˜ํ•œ Micro-CT (Skyscan 1172 high-resolution micro-CT)๋ฅผ ์ด์šฉํ•˜์—ฌ ๋ธ”๋ก(block) ๋‹ค๊ณต์ฒด์˜ ๊ตฌ์กฐ์  ์ธ์ž๋ฅผ ์ •๋Ÿ‰ํ™” ํ•˜์˜€๋‹ค. ์ด ๋•Œ ๋ถ„์„์€ X-ray source ์ „์••; 78 kV, rotating step; 0.5 deg, ๋ถ„ํ•ด๋Šฅ; 2.5 ฮผm ์กฐ๊ฑด์œผ๋กœ 2D ์ด๋ฏธ์ง€(image)๋ฅผ ์ธก์ •ํ•˜์˜€์œผ๋ฉฐ ์ธก์ •๋œ ์ด๋ฏธ์ง€๋ฅผ 3์ฐจ์›์œผ๋กœ ๋ณ€ํ™˜ํ•˜์—ฌ ํ•ด์„ํ•˜์˜€๋‹ค.

๋‹ค๊ณต์ฒด์˜ ๋ฏธ์„ธ์กฐ์ง ํ™•์ธ์„ ์œ„ํ•˜์—ฌ SiC ์—ฐ๋งˆ์ง€๋ฅผ ์ด์šฉํ•˜์—ฌ ์—ฐ๋งˆํ•˜์˜€์œผ๋ฉฐ ์ถ”๊ฐ€์ ์œผ๋กœ 1 ฮผm ์ˆ˜์ค€์˜ Al2O3 ์Šฌ๋Ÿฌ๋ฆฌ๋ฅผ ์ด์šฉํ•˜์—ฌ ๋ฏธ์„ธ ์—ฐ๋งˆ๋ฅผ ์ˆ˜ํ–‰ํ•˜์˜€๋‹ค. ์ดํ›„ 85 ml H2O + 10 ml H2NO3 + 5 ml glacial acetic acid ์šฉ์•ก์œผ๋กœ 5 V, ์ˆ˜ ์ดˆ๊ฐ„ ์ „ํ•ด ์—์นญํ•˜์˜€๊ณ , ์ค€๋น„๋œ ์‹œํŽธ์„ ์ฃผ์‚ฌ ์ „์ž ํ˜„๋ฏธ๊ฒฝ (Jeol, JSM-6700F)์œผ๋กœ ๊ด€์ฐฐํ•˜์˜€๋‹ค.

๋ธ”๋ก Ni-Cr-Al ๊ธˆ์† ๋‹ค๊ณต์ฒด์˜ ๊ธฐ๊ณ„์  ํŠน์„ฑ ๋น„๋Œ€์นญ์„ฑ์„ ํ™•์ธํ•˜๊ธฐ ์œ„ํ•˜์—ฌ ์ƒ์˜จ ์••์ถ• ๋ฐ ์ธ์žฅ ์‹คํ—˜์„ ์ˆ˜ํ–‰ํ•˜์˜€๋‹ค. ์••์ถ• ๋ฐ ์ธ์žฅ ์‹คํ—˜์„ ์œ„ํ•˜์—ฌ ๊ทธ๋ฆผ 1 (b-c)์—์„œ ๋‚˜ํƒ€๋‚ธ ๊ฒƒ๊ณผ ๊ฐ™์ด ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด๋ฅผ ์žฌ๊ฐ€๊ณตํ•˜์—ฌ ์‚ฌ์šฉํ•˜์˜€๋‹ค. ์••์ถ• ์‹คํ—˜์€ 13 mm (D) ร— 25 mm (L) ํฌ๊ธฐ์˜ ์›ํ†ตํ˜• ์‹œํ—˜ํŽธ์„ ์‚ฌ์šฉํ•˜์˜€์œผ๋ฉฐ, MTS 810 ์žฅ๋น„๋กœ ์ดˆ๊ธฐ ๋ณ€ํ˜•๋ฅ  ์†๋„(strain rate) 10-4/s, ์ตœ๋Œ€ ์••์ถ• ๋ณ€ํ˜•๋ฅ ์„ 60%๋กœ ์„ค์ •ํ•˜์—ฌ ์ง„ํ–‰ํ•˜์˜€๋‹ค. ์ธ์žฅ ์‹คํ—˜์„ ์œ„ํ•˜์—ฌ ๊ฒŒ์ด์ง€ 15 mm (W) ร— 10 mm (T) ร— 24 mm (L) ํฌ๊ธฐ์˜ dog-bone ํ˜•ํƒœ์˜ ์‹œํ—˜ํŽธ์„ ์‚ฌ์šฉํ•˜์˜€์œผ๋ฉฐ Instron 8801 ์žฅ๋น„๋กœ ์ดˆ๊ธฐ ๋ณ€ํ˜•๋ฅ  ์†๋„ 10-4/s ์กฐ๊ฑด์œผ๋กœ ์ธ์žฅ์„ ์ˆ˜ํ–‰ํ•˜์˜€๋‹ค. ์••์ถ• ๋ณ€ํ˜• ๋ฐ ํŒŒ๊ดด ๊ฑฐ๋™์„ ์•Œ์•„๋ณด๊ธฐ ์œ„ํ•ด ๋ณ€ํ˜• ํ›„ ์‹œํŽธ์˜ ๊ตฌ์กฐ๋ฅผ ์ฃผ์‚ฌ ์ „์ž ํ˜„๋ฏธ๊ฒฝ (TESCAN, VEGA II)์œผ๋กœ ๊ด€์ฐฐํ•˜์˜€๋‹ค.

3. ๊ฒฐ๊ณผ ๋ฐ ๊ณ ์ฐฐ

๊ทธ๋ฆผ 2๋Š” ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด์˜ ๊ตฌ์กฐ๋ฅผ ์ฃผ์‚ฌ ์ „์ž ํ˜„๋ฏธ๊ฒฝ์œผ๋กœ ๊ด€์ฐฐํ•œ ๊ฒฐ๊ณผ์ด๋‹ค. ๊ทธ๋ฆผ์—์„œ ์•Œ ์ˆ˜ ์žˆ๋“ฏ์ด 3๋ฉด์—์„œ ๋‹ค๋ฅธ ๊ธฐ๊ณต ํ˜•ํƒœ(๊ทธ๋ฆผ 2 (a))๊ฐ€ ๋‚˜ํƒ€๋‚ฌ๋‹ค. WD์™€ RD๋ฉด์—์„œ ๊ด€์ฐฐ๋œ ๊ธฐ๊ณต์€ ์ˆ˜์ง์œผ๋กœ ์••์ถ•๋˜์–ด ๋ณ€ํ˜•๋˜์–ด ์žˆ๋Š” ํ˜•์ƒ์„ ๋ณด์˜€์œผ๋ฉฐ ND ๋ฉด์—์„œ๋Š” ์ƒ๋Œ€์ ์œผ๋กœ ๊ตฌํ˜•์œผ๋กœ ๊ด€์ฐฐ๋˜์—ˆ๋‹ค. ๋˜ํ•œ WD์™€ RD ๋ฉด์—์„œ๋Š” ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด๋ฅผ ์ œ์กฐํ•˜๊ธฐ ์œ„ํ•ด ์ดˆ๊ธฐ ์‚ฌ์šฉ๋˜์—ˆ๋˜ ์‹œํŠธ์˜ ๊ณ„๋ฉด๋“ค์ด ํ™•์ธ๋˜์—ˆ๋‹ค. ์ด ๊ณ„๋ฉด ๊ทผ์ฒ˜์—์„œ ์ผ๋ถ€ ์ง€์ฃผ๋Š” ๋ณ€ํ˜•(yellow arrows)์ด ํฌ๊ฒŒ ๋ฐœ์ƒํ•˜์˜€์ง€๋งŒ ๋˜ ๋‹ค๋ฅธ ์ง€์ฃผ๋Š” ๋ณ€ํ˜•์—†์ด ๊ต์ฐจ๋˜๋Š”(white arrows) ํŠน์ง•์„ ํ•จ๊ป˜ ๋ณด์ด๊ณ  ์žˆ๋‹ค. ์ด๋Ÿฌํ•œ ํ˜„์ƒ์€ ๋ธ”๋ก ๋‹ค๊ณต์ฒด๋ฅผ ์ œ์กฐ ์‹œ, ์—ฌ๋Ÿฌ ์‹œํŠธ์˜ ์ ์ธต์— ์˜ํ•˜์—ฌ ์ง€์ฃผ์˜ ์ ‘์ด‰์ด ๋ฐœ์ƒํ•˜๋Š” ์˜์—ญ์—์„œ๋Š” ๋ณ€ํ˜•๊ณผ ์ ‘ํ•ฉ์ด ๋ฐœ์ƒํ•˜๊ณ  ์ง€์ฃผ๊ฐ€ ์ ‘์ด‰์ด ๋˜์ง€ ์•Š๋Š” ์˜์—ญ์—์„œ๋Š” ๋นˆ ๊ณต๊ฐ„์œผ๋กœ ์ง€์ฃผ์˜ ๊ต์ฐจ๊ฐ€ ๋ฐœ์ƒํ•˜๊ธฐ ๋•Œ๋ฌธ์ด๋‹ค. ์ฆ‰ ์••์ถ• ๋ฐฉํ–ฅ์— ๋”ฐ๋ผ์„œ ๊ณ„๋ฉด์—์„œ ๋ณ€ํ˜•์ธต์ด ์ฃผ๊ธฐ์ ์œผ๋กœ ๊ด€์ฐฐ๋˜๋Š” ๊ฒƒ์€ ๋ณธ ์—ฐ๊ตฌ์—์„œ ์‚ฌ์šฉํ•œ ๋ธ”๋ก Ni-Cr-Al ๊ธˆ์† ๋‹ค๊ณต์ฒด์˜ ๋…ํŠนํ•œ ๊ตฌ์กฐ์  ํŠน์ง•์ด๋ผ๊ณ  ํ•  ์ˆ˜ ์žˆ๋‹ค. ์ด์™€ ๊ฐ™์€ ์‹œํŠธ ๊ณ„๋ฉด์€ ๋ธ”๋ก ๋‹ค๊ณต์ฒด ์ œ์กฐ ๊ณต์ • ์กฐ๊ฑด์— ๋”ฐ๋ผ ์ง€์ฃผ์˜ ๊ธฐ๊ณ„์  ์ ‘ํ•ฉ, ํ™•์‚ฐ ์ ‘ํ•ฉ ๋“ฑ์˜ ํŠน์„ฑ์— ์˜ํ–ฅ์„ ์ค„ ์ˆ˜ ์žˆ๋‹ค. ์ฆ‰, ๊ธฐ๊ณ„์  ํŠน์„ฑ์— ํฐ ์˜ํ–ฅ์„ ๋‚˜ํƒ€๋‚ผ ๊ฒƒ์œผ๋กœ ํŒ๋‹จํ•  ์ˆ˜ ์žˆ์œผ๋‚˜ ๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” ์ด์— ๋Œ€ํ•œ ๋‚ด์šฉ์€ ๋‹ค๋ฃจ์ง€ ์•Š๊ณ  ์žˆ์œผ๋ฉฐ ์ถ”๊ฐ€์ ์ธ ์—ฐ๊ตฌ๊ฐ€ ํ•„์š”ํ•˜๋‹ค. ๋ธ”๋ก ๋‹ค๊ณต์ฒด์˜ ๊ตฌ์กฐ์  ์ธ์ž์— ๋Œ€ํ•ด ํ‘œ 1์—์„œ ์ •๋ฆฌํ•˜์˜€๋‹ค. ํ‘œ์—์„œ ๊ด€์ฐฐ๋˜๋Š” ๊ฒƒ๊ณผ ๊ฐ™์ด ๊ด€์ฐฐ ๋ฐฉํ–ฅ์— ๋”ฐ๋ผ์„œ ํ‰๊ท  ๊ธฐ๊ณต ํฌ๊ธฐ๋Š” 2493.2 ฮผm (ND), 2988.1 ฮผm (RD), 2569.6 ฮผm (WD)์œผ๋กœ ์ธก์ •๋˜์—ˆ๋‹ค. ๋ธ”๋ก ๋‹ค๊ณต์ฒด์˜ ํ‰๊ท  ๊ธฐ๊ณต ํฌ๊ธฐ ์ฐจ์ด๋Š” ์••์—ฐ ๊ณต์ •์— ์˜ํ•˜์—ฌ ์ˆ˜์ง ๋ฐฉํ–ฅ์œผ๋กœ ์••์ถ•์ด ๋ฐœ์ƒํ•˜๊ณ  RD ๋ฐฉํ–ฅ์œผ๋กœ ์—ฐ์‹ ๋˜๊ธฐ ๋•Œ๋ฌธ์œผ๋กœ ์ดํ•ด๋  ์ˆ˜ ์žˆ๋‹ค. ๊ทธ๋ฆฌ๊ณ  ์ง€์ฃผ์˜ ํ‰๊ท  ๋‘๊ป˜(average strut thickness)๋Š” 340.8 ฮผm, ์ง€์ฃผ ๋ฒฝ๋ฉด ๋‘๊ป˜(strut wall thickness)๋Š” 27.7 ฮผm๋กœ ๊ฐ๊ฐ ์ธก์ •๋˜์—ˆ์œผ๋ฉฐ 95.45%์˜ ๊ธฐ๊ณต๋„(porosity)์™€ 4.55%์˜ ์ƒ๋Œ€ ๋ฐ€๋„(relative density)๋ฅผ ๊ฐ€์ง€๋Š” ๊ฒƒ์œผ๋กœ ํ™•์ธ๋˜์—ˆ๋‹ค.

๊ตฌ์กฐ์ ์ธ ํŠน์ง•๊ณผ ๋”๋ถˆ์–ด ๋‹ค๊ณต์ฒด(foam)์˜ ๊ธฐ๊ณ„์  ํŠน์„ฑ์„ ๋ณ€ํ™”์‹œํ‚ค๋Š” ์ธ์ž๋กœ๋Š” ์ง€์ฃผ(strut) ๋‚ด๋ถ€์˜ ๋ฏธ์„ธ์กฐ์ง์ด ์žˆ์œผ๋ฉฐ ์ด์— Ni-Cr-Al ๊ธˆ์† ๋‹ค๊ณต์ฒด์˜ ์ƒ ๋ถ„์„ ๊ฒฐ๊ณผ๋ฅผ ๊ทธ๋ฆผ 3์—์„œ ๋‚˜ํƒ€๋ƒˆ๋‹ค. ๋ณธ ์—ฐ๊ตฌ์—์„œ ์ œ์กฐํ•œ ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด๋Š” ฮณ (Ni-based matrix, JCPSD #04-0850)์™€ ฮณโ€™ (Ni3Al, JCPSD #09-0097)๋กœ ๊ตฌ์„ฑ๋˜์–ด ์žˆ์—ˆ๋‹ค. ๋˜ํ•œ ๊ทธ๋ฆผ 4์—์„œ ์ง€์ฃผ์˜ ํ‘œ๋ฉด๊ณผ ๋‹จ๋ฉด์„ ๊ด€์ฐฐ ๊ฒฐ๊ณผ๋ฅผ ์ œ์‹œํ•˜์˜€๋‹ค. ์ง€์ฃผ ํ‘œ๋ฉด์—์„œ๋Š” ์ˆœ์ˆ˜ Ni ๋‹ค๊ณต์ฒด์— ๋„ํฌ๋œ ๋ถ„๋ง์˜ ํ˜•์ƒ์ด ๊ด€์ฐฐ๋˜์—ˆ์œผ๋ฉฐ ๋ถ„๋ง์€ ๋งค์šฐ ๊ท ์ผํ•˜๊ฒŒ ๋ถ„ํฌํ•˜๊ณ  ์žˆ๋Š” ๊ฒƒ์„ ์•Œ ์ˆ˜ ์žˆ์—ˆ๋‹ค. ๋˜ํ•œ ์ง€์ฃผ์˜ ๋‚ด๋ถ€ ์˜์—ญ์—๋Š” ํ‰ํƒ„ํ•œ ํ‘œ๋ฉด(๊ทธ๋ฆผ 4 (b))์„ ๋ณด์ด๊ณ  ์žˆ์œผ๋‚˜ ํ‘œ๋ฉด์—์„œ๋Š” ํ•ฉ๊ธˆ ๋ถ„๋ง์— ์˜ํ•˜์—ฌ ์ƒ๋Œ€์ ์œผ๋กœ ๊ตด๊ณก์ง„ ํ‘œ๋ฉด(๊ทธ๋ฆผ 4 (c))์„ ๊ด€์ฐฐํ•  ์ˆ˜ ์žˆ์—ˆ๋‹ค. ์ด๋Ÿฌํ•œ ํŠน์ง•๋“ค๋กœ ์ธํ•˜์—ฌ ์ƒ๊ธฐ ๋ธ”๋ก Ni-Cr-Al ๊ธˆ์† ๋‹ค๊ณต์ฒด๊ฐ€ ์ด‰๋งค๋กœ ์‚ฌ์šฉ๋˜๋Š” ๊ฒฝ์šฐ, ๊ตด๊ณก์ง„ ํ‘œ๋ฉด์— ์˜ํ•ด ํ‘œ๋ฉด์ ์„ ํšจ๊ณผ์ ์œผ๋กœ ์ฆ๊ฐ€์‹œํ‚ฌ ์ˆ˜ ์žˆ์–ด ์ด‰๋งค ํšจ์œจ์„ ๋” ํ–ฅ์ƒ์‹œํ‚ฌ ์ˆ˜ ์žˆ์„ ๊ฒƒ์œผ๋กœ ํŒ๋‹จ๋œ๋‹ค.

์ง€์ฃผ์˜ ๋‚ด๋ถ€ ๋ฏธ์„ธ์กฐ์ง์„ ๊ด€์ฐฐํ•œ ๊ฒฐ๊ณผ (๊ทธ๋ฆผ 4 (d)), ๋Œ€๋ถ€๋ถ„์˜ ์˜์—ญ์—์„œ ์œก๋ฉด์ฒด (cuboidal) ํ˜•์ƒ์˜ ์ƒ์ด ํ™•์ธ๋˜์—ˆ๋‹ค. ์ผ๋ฐ˜์ ์œผ๋กœ Ni ๊ณ„ ์ดˆํ•ฉ๊ธˆ์—์„œ๋Š” ฮณ์™€ ฮณโ€™์ƒ์ด ๊ด€์ฐฐ๋˜๋ฉฐ ์ด๋•Œ ฮณโ€™์ƒ์€ ํฌ๊ธฐ์— ๋”ฐ๋ผ ํ˜•์ƒ์ด ๋‹ค๋ฅด๊ฒŒ ๋‚˜ํƒ€๋‚˜์ง€๋งŒ ๋Œ€๋ถ€๋ถ„ ๊ตฌํ˜• ๋˜๋Š” ์œก๋ฉด์ฒด ํ˜•์ƒ (cuboidal shape)์„ ๊ฐ€์ง€๋Š” ๊ฒƒ์œผ๋กœ ์•Œ๋ ค์ ธ ์žˆ๋‹ค [29,30]. ์ด์— ๋ณธ ์—ฐ๊ตฌ์—์„œ ๊ด€์ฐฐ๋˜๋Š” ์œก๋ฉด์ฒด์˜ ์ƒ์€ ฮณโ€™ (Ni3Al)๋กœ ์˜ˆ์ธกํ•  ์ˆ˜ ์žˆ์œผ๋ฉฐ ์ด ์ƒ๋“ค์€ ์ง€์ฃผ์˜ ๋‚ด๋ถ€์— ๊ท ์ผํ•˜๊ฒŒ ๋ถ„ํฌ๋˜์–ด ์žˆ์—ˆ๋‹ค. ๊ด€์ฐฐ ๊ฒฐ๊ณผ๋ฅผ ๋ฐ”ํƒ•์œผ๋กœ ๋ฏธ์„ธ์กฐ์งํ•™์  ์ธ์ž๋ฅผ ์ •๋Ÿ‰์ ์œผ๋กœ ์ธก์ •ํ•˜์—ฌ ํ‘œ 2์—์„œ ๋‚˜ํƒ€๋‚ด์—ˆ๋‹ค. ฮณโ€™์˜ ๋ถ„์œจ์€ 60.7%, ํ‰๊ท  ํฌ๊ธฐ๋Š” 0.943 ฮผm, ์ตœ๋Œ€ ํฌ๊ธฐ๋Š” 3.985 ฮผm, ์ตœ์†Œ ํฌ๊ธฐ๋Š” 0.112 ฮผm๋กœ ์ธก์ •๋˜์—ˆ๋‹ค. ์ด์™€ ํ•จ๊ป˜ Fan ๋“ฑ[24]์ด ์ œ์‹œํ•œ ๋ฐฉ๋ฒ•์„ ํ†ตํ•˜์—ฌ ฮณโ€™ ๊ทผ์ ‘์„ฑ(contiguity)๋ฅผ ์•„๋ž˜ ์‹์„ ์ด์šฉํ•˜์—ฌ ๋„์ถœํ•˜์˜€๋‹ค.

(1)
C ฮณ ' = 2 N L ฮณ ' ฮณ ' / 2 N L ฮณ ' ฮณ ' + N L ฮณ ' ฮณ '

Cฮณ'๋Š” ฮณยด ๊ทผ์ ‘์„ฑ, N L ฮณ ' ฮณ ' ๋Š” ฮณ' ฮณ' ๊ณ„๋ฉด์˜ ๊ฐœ์ˆ˜ (number of intercepts of the ฮณ' ฮณ' interfaces), N L ฮณ ' ฮณ ' ๋Š” ฮณ' ฮณ ๊ณ„๋ฉด์˜ ๊ฐœ์ˆ˜ (number of intercepts of the ฮณ' ฮณ interfaces)๋กœ ์ •์˜๋œ๋‹ค. ๊ทธ ๊ฒฐ๊ณผ 0.053์˜ ๊ฐ’์„ ๊ฐ€์ง€๋Š” ๊ฒƒ์œผ๋กœ ๊ณ„์‚ฐ๋˜์—ˆ์œผ๋ฉฐ ์ด๋Š” ๋Œ€๋ถ€๋ถ„์˜ ฮณ' ์ƒ์ด ๋…๋ฆฝ์ ์œผ๋กœ ๋ถ„๋ฆฌ๋˜์–ด ์žˆ์Œ์„ ์˜๋ฏธํ•œ๋‹ค. ๊ทธ๋ฆผ์—์„œ ๋‚˜ํƒ€๋‚˜๋Š” ๊ฒƒ๊ณผ ๊ฐ™์ด ๊ฒฐ์ •๋ฆฝ ๋‚ด๋ถ€์—์„œ๋Š” ์•ฝ 600 - 800 nm์˜ ฮณ'์ด ์œก๋ฉด์ฒด ํ˜•ํƒœ๋กœ ๊ท ์ผํ•˜๊ฒŒ ๋ถ„ํฌ๋˜์–ด ์žˆ์—ˆ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ๊ฒฐ์ •๋ฆฝ๊ณ„์—์„œ๋Š” ฮณ' (Ni3Al)์ด ํŒ์ƒ์œผ๋กœ ์ƒ๋Œ€์ ์œผ๋กœ ํฐ ํฌ๊ธฐ๋ฅผ ๊ฐ€์ง€๋Š” ๊ฒƒ์œผ๋กœ ๊ด€์ฐฐ๋˜์—ˆ๋‹ค. ํ•œํŽธ ๊ทธ๋ฆผ 4 (d)์˜ ํ•ฉ๊ธˆ ์›์†Œ ๋ถ„์„ ๊ฒฐ๊ณผ์—์„œ ์•Œ ์ˆ˜ ์žˆ๋“ฏ์ด ์œ„์น˜, ์ง€์ฃผ ํ‘œ๋ฉด/๋‚ด๋ถ€์— ๊ด€๊ณ„์—†์ด ๋ชจ๋“  ์›์†Œ๋“ค์ด ๊ท ์ผํ•œ ํ•ฉ๊ธˆ ์›์†Œ ๋ถ„ํฌ๋ฅผ ๋‚˜ํƒ€๋‚ด์—ˆ๋‹ค. ์ด๋Š” ๋ธ”๋ก ๋‹ค๊ณต์ฒด์— ์ ์šฉํ•œ ์‹  ๊ณต์ •์ด ๊ท ์ผํ•œ ํ•ฉ๊ธˆ ์›์†Œ ์ œ์–ด์— ํšจ๊ณผ์ ์ž„์„ ์˜๋ฏธํ•œ๋‹ค. ๋˜ํ•œ ฮณ'์˜ ๊ทผ์ ‘์„ฑ์ด 1์— ๊ฐ€๊น๊ฒŒ ๋‚˜ํƒ€๋‚œ ๊ฒฝ์šฐ, Q. Pang ๋“ฑ[17-19]์ด ์ œ์‹œํ•œ ๊ฒฐ๊ณผ์™€ ๊ฐ™์ด ๋ณ€ํ˜•์‹œ ๊ธ‰๊ฒฉํ•œ ์‘๋ ฅ ๊ฐ์†Œ๋ฅผ ๋‚˜ํƒ€๋‚ด๋Š” ๋ถˆ์•ˆ์ •ํ•œ ๊ธฐ๊ณ„์  ํŠน์„ฑ์„ ๋ณด์ด๋Š” ๊ฒƒ์œผ๋กœ ํŒ๋‹จํ•ด ๋ณผ ์ˆ˜ ์žˆ๋‹ค. ์ด์— ๋”ฐ๋ผ ๋ณธ ์—ฐ๊ตฌ์—์„œ ์‚ฌ์šฉํ•œ Ni-Cr-Al ๋ธ”๋ก ๋‹ค๊ณต์ฒด์˜ ๊ฒฝ์šฐ, ๋‹ค๋ฅธ ๊ณต์ •์œผ๋กœ ์ œ์กฐ๋œ ๋‹ค๊ณต์ฒด ๋ณด๋‹ค ์•ˆ์ •์ ์ธ ๊ธฐ๊ณ„์  ํŠน์„ฑ(์‘๋ ฅ ๊ฐ์†Œ๊ฐ€ ํฌ๊ฒŒ ์—†๋Š”)์„ ๋‚˜ํƒ€๋‚ผ ๊ฒƒ์œผ๋กœ ํŒ๋‹จ๋˜๋Š” ๊ฒฐ๊ณผ์ด๋‹ค.

๊ทธ๋ฆผ 5์—์„œ๋Š” ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด์˜ ๋ฐฉํ–ฅ์— ๋”ฐ๋ฅธ ์ธ์žฅ ๋ฐ ์••์ถ• ๋ณ€ํ˜• ๊ณก์„ ๋“ค์„ ๋‚˜ํƒ€๋‚ด์—ˆ๋‹ค. ๊ทธ๋ฆผ์—์„œ ๊ด€์ฐฐ๋˜๋Š” ๊ฒƒ๊ณผ ๊ฐ™์ด ๋ฐฉํ–ฅ์— ๋”ฐ๋ผ์„œ ๋งค์šฐ ํฐ ๊ธฐ๊ณ„์  ํŠน์„ฑ ์ฐจ์ด(๊ธฐ๊ณ„์  ํŠน์„ฑ์˜ ์ด๋ฐฉ์„ฑ)๋ฅผ ๋ณด์ด๊ณ  ์žˆ๋‹ค. ๋˜ํ•œ ์••์ถ• ๋ฐ ์ธ์žฅ ์‹œํ—˜์˜ ๊ฒฐ๊ณผ๋ฅผ ๋น„๊ตํ•˜๋”๋ผ๋„ ๊ธฐ๊ณ„์  ํŠน์„ฑ์˜ ๋น„๋Œ€์นญ์„ฑ์„ ๋‚˜ํƒ€๋‚ด๊ณ  ์žˆ๋‹ค. ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด์˜ ND ๋ฐฉํ–ฅ ์ธ์žฅํŠน์„ฑ์€ 0.175 MPa ํ•ญ๋ณต ๊ฐ•๋„, 0.233 MPa์˜ ์ธ์žฅ ๊ฐ•๋„, 2.54%์˜ ์—ฐ์‹ ์œจ์„ ๋‚˜ํƒ€๋‚ธ ๋ฐ˜๋ฉด RD ๋ฐฉํ–ฅ์˜ ์ธ์žฅ ํŠน์„ฑ์€ 1.27 MPa์˜ ํ•ญ๋ณต ๊ฐ•๋„, 3.01 MPa์˜ ์ธ์žฅ ๊ฐ•๋„, 8.92%์˜ ์—ฐ์‹ ์œจ์„ ๊ฐ€์ง€๋Š” ๊ฒƒ์œผ๋กœ ๊ด€์ฐฐ๋˜์—ˆ๋‹ค. ND ๋ฐฉํ–ฅ์œผ๋กœ ์••์ถ•์„ ํ•œ ๊ฒฝ์šฐ์—๋Š” 0.795 MPa์˜ ํ•ญ๋ณต๊ฐ•๋„, RD ๋ฐฉํ–ฅ์—์„œ๋Š” 2.18 MPa์˜ ํ•ญ๋ณต๊ฐ•๋„๋ฅผ ๋‚˜ํƒ€๋‚ด์—ˆ๋‹ค. ์ฃผ๋ชฉํ•ด์•ผ ํ•  ์ ์€ ND ๋ฐฉํ–ฅ์œผ๋กœ ์ธ์žฅ ๋ฐ ์••์ถ• ์‹œํ—˜์„ ํ•œ ๊ฒฝ์šฐ, RD ๋ฐฉํ–ฅ๊ณผ ๋น„๊ต์‹œ ์ƒ๋Œ€์ ์œผ๋กœ ๋‚ฎ์€ ๊ฐ•๋„๋ฅผ ๋ณด์ด๊ณ  ์žˆ์—ˆ๋‹ค๋Š” ๊ฒƒ์ด๋‹ค.

Gibson-Ashby์— ๋”ฐ๋ฅด๋ฉด ๊ฐœ๊ธฐ๊ณต ๊ตฌ์กฐ๋ฅผ ๊ฐ–๋Š” ๋‹ค๊ณต์„ฑ ๊ธˆ์†์˜ ์ƒ๋Œ€ ๋ฐ€๋„(relative density)์™€ ํ•ญ๋ณต ๊ฐ•๋„(yield strength)๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์€ ๊ด€๊ณ„๋ฅผ ๊ฐ€์ง€๊ณ  ์žˆ๋‹ค [1].

(2)
ฯƒ y * ฯƒ y = 0 . 3 ( ฯ * ฯ s ) 1 . 5

์—ฌ๊ธฐ์—์„œ ฯƒ y * ๋Š” ๋‹ค๊ณต์ฒด์˜ ํ•ญ๋ณต ๊ฐ•๋„, ฯƒy ๋ฒŒํฌ ์†Œ์žฌ์˜ ํ•ญ๋ณต ๊ฐ•๋„, ๊ทธ๋ฆฌ๊ณ  (ฯ*/ฯs)๋Š” ์ƒ๋Œ€ ๋ฐ€๋„๋ฅผ ์˜๋ฏธํ•œ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ์œ„์˜ ๊ด€๊ณ„๋ฅผ ๋”ฐ๋ฅด๋ฉด ๋ณธ ์—ฐ๊ตฌ์—์„œ ์‚ฌ์šฉํ•œ ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด์˜ ๊ฐ•๋„๋Š” ์‹œํ—˜ ๋ฐฉ๋ฒ•, ๋ฐฉํ–ฅ์— ๊ด€๊ณ„์—†์ด ๋™์ผํ•œ ์ƒ๋Œ€๋ฐ€๋„(4.55%)๋ฅผ ๊ฐ€์ง€๊ณ  ์žˆ์–ด ๋™์ผํ•œ ๊ฐ’์„ ๋‚˜ํƒ€๋‚ด์•ผ ํ•œ๋‹ค. ๊ทธ๋Ÿผ์—๋„ ๋ถˆ๊ตฌํ•˜๊ณ  ์ธ์žฅ, ์••์ถ•, ๊ทธ๋ฆฌ๊ณ  ์‹œํ—˜ ๋ฐฉํ–ฅ์— ๋”ฐ๋ผ์„œ ๋‹ค๋ฅธ ๊ธฐ๊ณ„์  ํŠน์„ฑ์„ ๋‚˜ํƒ€๋‚ธ ๊ฒƒ์€ ๋‹ค๊ณต์ฒด์˜ ๊ตฌ์กฐ์  ํŠน์ง•์ด ์ฃผ์š”ํ•˜๊ฒŒ ์ž‘์šฉํ–ˆ๋‹ค๊ณ  ์œ ์ถ”ํ•  ์ˆ˜ ์žˆ๋Š” ๊ฒฐ๊ณผ์ด๋‹ค. ๋˜ํ•œ ๋ณธ ์—ฐ๊ตฌ์—์„œ ์‚ฌ์šฉํ•œ Ni-Cr-Al ์ดˆ๊ธฐ ์‹œํŠธ์˜ ์ƒ๋Œ€ ๋ฐ€๋„๋Š” 2.93%์ด๋ฉฐ ND ๋ฐฉํ–ฅ์˜ ์••์ถ• ๊ฐ•๋„๋Š” 1.52 MPa๋ฅผ ๋‚˜ํƒ€๋‚ด์—ˆ๋‹ค. Gibson-Ashby ๊ด€๊ณ„๋ฅผ ์ด์šฉํ•˜์—ฌ ๋ธ”๋ก ๋‹ค๊ณต์ฒด์˜ ์ƒ์˜จ ์••์ถ• ๊ฐ•๋„๋Š” ์•ฝ 3.2 MPa๋ฅผ ๊ฐ€์ง€๋Š” ๊ฒƒ์œผ๋กœ ์˜ˆ์ธก๋˜์—ˆ๋‹ค. ์‹ค์ œ ๋ธ”๋ก ์••์ถ• ๊ฐ•๋„์™€ ๋น„๊ตํ•ด ๋ณด๋ฉด ND๋Š” 0.795 MPa, RD๋Š” 2.18 MPa์˜ ์‹คํ—˜๊ฐ’์„ ๋‚˜ํƒ€๋ƒ„์— ๋”ฐ๋ผ์„œ ์‹œํŠธ ๊ณ„๋ฉด ๋ฐ ๊ธฐ๊ณต์˜ ํ˜•ํƒœ ๋“ฑ ๋‹ค๊ณต์ฒด์˜ ๊ตฌ์กฐ์  ํŠน์ง•์ด ๊ธฐ๊ณ„์  ํŠน์„ฑ์— ์˜ํ–ฅ์„ ์ค€ ๊ฒƒ์œผ๋กœ ์‚ฌ๋ฃŒ๋œ๋‹ค.

๋˜ํ•œ ์‘๋ ฅ-๋ณ€ํ˜•๋ฅ  ๊ณก์„ ์—์„œ ๋‚˜ํƒ€๋‚˜๋Š” ๋˜ ๋‹ค๋ฅธ ๋…ํŠนํ•œ ๊ฑฐ๋™์€ ๋‹ค๊ณต์ฒด์˜ ํƒ„์„ฑ ๊ณ„์ˆ˜ ์ฐจ์ด์™€ ๋ณ€ํ˜•์— ์˜ํ•œ ์œ ๋™ ์‘๋ ฅ ๊ฑฐ๋™์ด ๋‹ค๋ฅด๊ฒŒ ๋‚˜ํƒ€๋‚œ๋‹ค๋Š” ๊ฒƒ์ด๋‹ค. ND๋ฐฉํ–ฅ์œผ๋กœ ์ธ์žฅ์‹œํ—˜์„ ์ง„ํ–‰ํ•œ ๊ฒฝ์šฐ(๊ทธ๋ฆผ 5 (a) ์‚ฝ์ž…๋œ ๊ทธ๋ฆผ), ๋งค์šฐ ๋‚ฎ์€ ํƒ„์„ฑ๊ณ„์ˆ˜๋ฅผ ๋ณด์ด๊ณ  ์žˆ์œผ๋ฉฐ ์งง์€ ํƒ„์„ฑ ์˜์—ญ์„ ๋ณด์ธ ํ›„, ์†Œ์„ฑ ๋ณ€ํ˜•์ด ์ผ๋ถ€ ๋ฐœ์ƒํ•˜์˜€๊ณ  ์—ฐ์ด์–ด ํŒŒ๊ดด๊ฐ€ ๋ฐœ์ƒํ•˜์˜€๋‹ค. ๋ฐ˜๋ฉด RD ๋ฐฉํ–ฅ์—์„œ๋Š” ์ƒ๋Œ€์ ์œผ๋กœ ํฐ ํƒ„์„ฑ ๊ณ„์ˆ˜๋ฅผ ๋ณด์ด๊ณ  ์žˆ์œผ๋ฉฐ(ND ๋ฐฉํ–ฅ ์ธ์žฅ ํŠน์„ฑ๊ณผ ๋น„๊ตํ•˜์—ฌ), ํ•ญ๋ณต ๊ฐ•๋„ ์ดํ›„ ๋ณ€ํ˜• ๊ฒฝํ™” (strain hardening) ๊ฑฐ๋™์ด ๊ธ‰๊ฒฉํ•˜๊ฒŒ ๋ฐœ์ƒํ•˜์˜€๊ณ  ๋’ค์ด์–ด ํŒŒ๊ดด๊ฐ€ ๋ฐœ์ƒ๋˜์—ˆ๋‹ค. ์••์ถ• ์‹œํ—˜์˜ ๊ฒฐ๊ณผ์—์„œ๋Š” ์ƒ์ดํ•œ ๋ณ€ํ˜• ๊ฑฐ๋™์ด ๊ด€์ฐฐ๋˜์—ˆ๋‹ค. ND ๋ฐฉํ–ฅ์œผ๋กœ ์••์ถ• ์‹œํ—˜์„ ์ง„ํ–‰ํ•œ ๊ฒฝ์šฐ์—๋Š” ์ƒ๋Œ€์ ์œผ๋กœ ๋‚ฎ์€ ํƒ„์„ฑ ๊ณ„์ˆ˜๋ฅผ ๋ณด์˜€์œผ๋ฉฐ, ํ•ญ๋ณต ๊ฐ•๋„ ์ดํ›„ ๋ณ€ํ˜•๋ฅ ์ด ์ฆ๊ฐ€ํ•จ์— ์œ ๋™์‘๋ ฅ์ด ์ฆ๊ฐ€ํ•˜๋Š” ๋ณ€ํ˜• ๊ฒฝํ™” ํ˜„์ƒ์ด ๋‚˜ํƒ€๋‚ฌ๊ณ  ๊ทธ ํ›„ ์น˜๋ฐ€ํ™” ์˜์—ญ์ด ํ™•์ธ๋˜์—ˆ๋‹ค. ๋ฐ˜๋ฉด RD ๋ฐฉํ–ฅ์—์„œ๋Š” ๋ช…ํ™•ํ•œ ์ตœ๋Œ€ ์••์ถ• ๊ฐ•๋„์ ์ด ๋‚˜ํƒ€๋‚ฌ๊ณ  ์ดํ›„ ์‘๋ ฅ์ด ๊ฐ์†Œํ•˜์˜€์œผ๋ฉฐ ์—ฐ์ด์–ด ์œ ๋™ ์‘๋ ฅ์ด ์ผ์ •ํ•ด์ง€๋Š” ๋…ํŠนํ•œ ๋ณ€ํ˜• ๊ฑฐ๋™์„ ๋ณด์˜€๋‹ค.

๋ฐฉํ–ฅ์— ๋”ฐ๋ฅธ ์ƒ์˜จ ์ธ์žฅ ์‹œํ—˜ ํ›„, ๋ณ€ํ˜• ๋ฐ ํŒŒ๋‹จ๋œ ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด๋“ค์„ ๊ด€์ฐฐํ•˜์—ฌ ๊ทธ๋ฆผ 6์— ๋‚˜ํƒ€๋‚ด์—ˆ๋‹ค. ์ธ์žฅ์‹œํ—˜์„ ์ˆ˜ํ–‰ํ•œ ๋ธ”๋ก ๋‹ค๊ณต์ฒด์—์„œ ๊ด€์ฐฐ๋˜๋Š” ๊ฐ€์žฅ ํฐ ํŠน์ง•์€ ND ๋ฐฉํ–ฅ์—์„œ๋Š” ํŠน์ • ์œ„์น˜(์‹œํŠธ ๊ณ„๋ฉด์œผ๋กœ ์˜ˆ์ƒ)์—์„œ ์ธ์žฅ ๋ฐฉํ–ฅ์— ์ˆ˜์ง์œผ๋กœ ๊นจ๋—ํ•œ ํŒŒ๋‹จ๋ฉด์ด ๋ฐœ์ƒํ–ˆ์œผ๋ฉฐ, RD ๋ฐฉํ–ฅ์—์„œ๋Š” ๋Œ€๋žต ์‹œํ—˜ํŽธ์˜ ์ค‘์‹ฌ๋ถ€์—์„œ ์ƒ๋‹น๋Ÿ‰์˜ ๋ณ€ํ˜•์„ ์ˆ˜์šฉํ•œ ํ›„ ํŒŒ๊ดด๊ฐ€ ๋ฐœ์ƒํ–ˆ๋‹ค๋Š” ๊ฒƒ์ด๋‹ค. ๋ณ€ํ˜• ์˜์—ญ ๋ฐ ํŒŒ๊ดด ์˜์—ญ์„ ํ™•๋Œ€ํ•ด์„œ ์‚ดํŽด๋ณด๋ฉด RD ๋ฐฉํ–ฅ์—์„œ๋Š” ์ง€์ฃผ(strut)๊ฐ€ ๋ณ€ํ˜•์„ ์ˆ˜์šฉ(๋‹จ๋ฉด ์ˆ˜์ถ• ํ˜•์ƒ์ด ๊ด€์ฐฐ๋จ)ํ•˜๊ณ  ์žˆ์œผ๋ฉฐ, ์ฃผ๋กœ ์ง€์ฃผ์˜ ์—ฐ๊ฒฐ ๋ถ€์œ„์—์„œ ๊ท ์—ด์ด ๋ฐœ์ƒ๋œ ๊ฒƒ์„ ์•Œ ์ˆ˜ ์žˆ์—ˆ๋‹ค. ๋ฐ˜๋ฉด ND ๋ฐฉํ–ฅ์—์„œ๋Š” ๋ณ€ํ˜•์— ์˜ํ•œ ์ง€์ฃผ์˜ ์ˆ˜์ถ• ํ˜•์ƒ์€ ๊ฑฐ์˜ ๊ด€์ฐฐ๋˜์ง€ ์•Š์•˜์œผ๋ฉฐ ํŒŒ๊ดด๋œ ํŒŒ๋ฉด ๋˜ํ•œ ํŠน์ •ํ•œ ์ข์€ ์˜์—ญ(์‹œํŠธ ๊ณ„๋ฉด)์—์„œ ๋‚˜ํƒ€๋‚ฌ๋‹ค.

๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด ์••์ถ• ์‹œํ—˜ ํ›„ ๋ณ€ํ˜• ๊ตฌ์กฐ๋ฅผ ๊ทธ๋ฆผ 7์—์„œ ๋‚˜ํƒ€๋‚ด์—ˆ๋‹ค. ๋…ํŠนํ•œ ํŠน์ง•์€ RD ๋ฐฉํ–ฅ์œผ๋กœ ์••์ถ• ์‹œ, ํŠน์ • ์˜์—ญ์„ ๋”ฐ๋ผ์„œ ๊ฐˆ๋ผ์ง(์‹œํŠธ ๊ณ„๋ฉด์œผ๋กœ ์˜ˆ์ƒ)์ด ๋ฐœ์ƒํ•˜์˜€์œผ๋ฉฐ ๊ทธ ์ด์™ธ์˜ ๋‹ค๋ฅธ ์˜์—ญ์—์„œ๋Š” ๊ตด๊ณก(bending)์ด ์‹ฌํ•˜๊ฒŒ ๊ด€์ฐฐ๋˜์—ˆ๋‹ค. ํ•œํŽธ ND ๋ฐฉํ–ฅ์—์„œ๋Š” RD ๋ฐฉํ–ฅ๊ณผ ๊ฐ™์€ ๊ฐˆ๋ผ์ง์€ ๊ด€์ฐฐ๋˜์ง€ ์•Š์•˜์œผ๋ฉฐ ์ผ๋ฐ˜์ ์œผ๋กœ ๊ธˆ์† ๋‹ค๊ณต์ฒด๊ฐ€ ์••์ถ•์‹œํ—˜์ด ๋จ์— ๋”ฐ๋ผ์„œ ๊ด€์ฐฐ๋˜๋Š” ์ „ํ˜•์ ์ธ ์ง€์ฃผ์˜ ๊ตฝํž˜(bending), ์••์ถ•(compression) ๋“ฑ์˜ ํ˜•ํƒœ๊ฐ€ ํ™•์ธ๋˜์—ˆ๋‹ค. ๋‚ด๋ถ€ ํŒŒ๋‹จ ์กฐ์ง์„ ๋”์šฑ ํ™•๋Œ€ํ•˜์—ฌ ๊ด€์ฐฐํ•ด๋ณด๋ฉด, RD ๋ฐฉํ–ฅ์˜ ์••์ถ•๋œ ๋‹ค๊ณต์ฒด์—์„œ ๋‚˜ํƒ€๋‚˜๋Š” ๊ฐˆ๋ผ์ง์€ ๋‘ ์‹œํŠธ ์‚ฌ์ด์˜ ๊ณ„๋ฉด์—์„œ ์ฃผ๋กœ ๋ฐœ์ƒํ•จ์„ ์•Œ ์ˆ˜ ์žˆ์—ˆ๋‹ค. ๊ทธ๋ฆฌ๊ณ  ๊ทธ ์™ธ ๋‹ค๋ฅธ ์˜์—ญ์—์„œ๋Š” ์ง€์ฃผ์˜ ๊ตด๊ณก์— ์˜ํ•ด ๋ณ€ํ˜•์ด ์‹œ์ž‘๋˜์–ด ์ ์ฐจ ํŒŒ๋‹จ์œผ๋กœ ๋ฐœ๋‹ฌํ•˜๋Š” ๊ฑฐ๋™์ด ๊ด€์ฐฐ๋˜์—ˆ๋‹ค. ND ๋ฐฉํ–ฅ์œผ๋กœ ์••์ถ•๋œ ์‹œํ—˜ํŽธ์—์„œ๋Š” ์ง€์ฃผ์˜ ๊ตด๊ณก์—์„œ ์‹œ์ž‘๋˜๋Š” ๋ณ€ํ˜•, ํŒŒ๊ดด ๊ฑฐ๋™๋งŒ ๋‚˜ํƒ€๋‚ฌ์œผ๋ฉฐ ๊ทธ ๊ฒฐ๊ณผ ๋‚˜ํƒ€๋‚˜๋Š” ์ง€์ฃผ์˜ ๋‹จ๋ฉด ์ˆ˜์ถ• ํ˜„์ƒ๋„ ์‰ฝ๊ฒŒ ๊ด€์ฐฐ๋˜์—ˆ๋‹ค.

์ด๋Ÿฌํ•œ ๊ธฐ๊ณ„์  ํŠน์„ฑ, ๋ณ€ํ˜• ๊ฑฐ๋™์˜ ์ฐจ์ด๋Š” ๊ตฌ์กฐ์  ํŠน์ง•์—์„œ ์ „์ˆ ํ•œ ๊ฒƒ๊ณผ ๊ฐ™์ด ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด์˜ ๋ฐฉํ–ฅ์— ๋”ฐ๋ฅธ ๊ธฐ๊ณต ํฌ๊ธฐ ์ฐจ์ด ๋ฐ ๊ตฌ์กฐ์  ๋ถˆ์•ˆ์ •์„ฑ์— ๊ธฐ์ธํ•˜๋Š” ๊ฒƒ์œผ๋กœ ์˜ˆ์ƒ๋œ๋‹ค. ์ผ๋ฐ˜์ ์œผ๋กœ ๋ฐฉํ–ฅ ๋ณ„ ๊ธฐ๊ณต ํฌ๊ธฐ ์ฐจ์ด๋Š” ๋‹ค๊ณต์„ฑ ๊ธˆ์†์˜ ๊ธฐ๊ณ„์  ํŠน์„ฑ์˜ ์ด๋ฐฉ์„ฑ์„ ์•ผ๊ธฐํ•  ์ˆ˜ ์žˆ๋Š” ๊ฒƒ์œผ๋กœ ์•Œ๋ ค์ ธ ์žˆ๋‹ค [25-27]. ์ด๋ฐฉ์„ฑ ์œ ๋ฌด๋Š” ๊ธฐ๊ณต ํ˜•์ƒ ๊ณ„์ˆ˜ (F, cell shape factor)๋ฅผ ์ด์šฉํ•˜์—ฌ ์˜ˆ์ธกํ•ด๋ณผ ์ˆ˜ ์žˆ์œผ๋ฉฐ ์•„๋ž˜์™€ ๊ฐ™์ด ํ‘œํ˜„๋œ๋‹ค.

(3)
F = 4 ฯ€A ฮธ 2

A๋Š” ๊ธฐ๊ณต์˜ ๋ฉด์  (area of cell), ฮธ๋Š” ๊ธฐ๊ณต์˜ ๋‘˜๋ ˆ(perimeter of cell)์„ ์˜๋ฏธํ•˜๋ฉฐ ๋ณดํ†ต 0~1 ๋ฒ”์œ„์˜ ๊ฐ’์„ ๊ฐ€์ง„๋‹ค. 1์— ๊ฐ€๊นŒ์šธ์ˆ˜๋ก ์™„๋ฒฝํ•œ ๊ตฌํ˜•์„ ์˜๋ฏธํ•œ๋‹ค. ๋ณธ ์—ฐ๊ตฌ์—์„œ ์‚ฌ์šฉํ•œ ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด์˜ ๊ธฐ๊ณต ํ˜•์ƒ ๊ณ„์ˆ˜๋ฅผ ๊ตฌํ•ด๋ณด๋ฉด 0.999 (ND-WD ๊ธธ์ด ์ด์šฉ), 0.987 (ND-RD ๊ธธ์ด ์ด์šฉ), 0.991 (WD-RD ๊ธธ์ด ์ด์šฉ)๋กœ ๊ฐ๊ฐ ๊ณ„์‚ฐ๋œ๋‹ค. ์ฆ‰, ์ƒ๊ธฐ ๊ฒฐ๊ณผ๋ฅผ ๋ฐ”ํƒ•์œผ๋กœ ๊ธฐ๊ณ„์  ํŠน์„ฑ์˜ ์ด๋ฐฉ์„ฑ์„ ์˜ˆ์ƒํ•  ์ˆ˜ ์žˆ์œผ๋ฉฐ RD ๋ฐฉํ–ฅ์—์„œ ๋‹ค์†Œ ์šฐ์ˆ˜ํ•œ ๊ธฐ๊ณ„์  ํŠน์„ฑ์„ ๊ฐ€์งˆ ๊ฒƒ์œผ๋กœ ์˜ˆ์ธก๋œ๋‹ค.

์ด์™€ ํ•จ๊ป˜ ๊ทธ๋ฆผ 2 (b)์—์„œ ์–ธ๊ธ‰ํ•œ ์‹œํŠธ๊ฐ„ ๊ณ„๋ฉด์˜ ์ ‘ํ•ฉ ํŠน์„ฑ์ด ํฌ๊ฒŒ ์˜ํ–ฅ์„ ๋ฏธ์น˜๋Š” ๊ฒƒ์œผ๋กœ ํŒ๋‹จ๋œ๋‹ค. ์ด๋ฅผ X-์„  ๋‹จ์ธต ์ดฌ์˜์„ ํ†ตํ•˜์—ฌ ๋ช…ํ™•ํ•˜๊ฒŒ ํ™•์ธํ•˜๊ณ ์ž ํ•˜์˜€์œผ๋ฉฐ, ๊ทธ ๊ฒฐ๊ณผ๋ฅผ ๊ทธ๋ฆผ 8์— ๋‚˜ํƒ€๋‚ด์—ˆ๋‹ค. ๊ทธ๋ฆผ์—์„œ ๋‚˜ํƒ€๋‚œ ๊ฒƒ๊ณผ ๊ฐ™์ด ํŠน์ • ์˜์—ญ์—์„œ ์ง€์ฃผ์˜ ๋ณ€ํ˜•์ด ๋งŽ์ด ๋œ ๋ถ€๋ถ„๋“ค์ด ๊ด€์ฐฐ๋œ๋‹ค. ์ด ์˜์—ญ์€ ์‹œํŠธ Ni-Cr-Al์˜ ๊ณ„๋ฉด ์˜์—ญ์œผ๋กœ ๊ณ ์˜จ ์••์—ฐ์— ์˜ํ•˜์—ฌ ์ ‘ํ•ฉ์ด ๋˜๋Š” ๋ถ€์œ„์ด๋‹ค. ์ฆ‰, ๊ณ„๋ฉด์—์„œ ํŠน์ • ์˜์—ญ์—์„œ๋งŒ ์ ‘์ด‰๋˜๊ณ  ์ ‘ํ•ฉ๋จ์— ๋”ฐ๋ผ์„œ ๋‹ค๊ณต์ฒด์˜ ๊ธฐ๊ณ„์  ํŠน์„ฑ์„ ์—ฐ์†์ ์œผ๋กœ ์œ ์ง€์‹œ์ผœ ์ค„ ์ˆ˜ ์žˆ๋Š” ์ง€์ฃผ์˜ ๋ถ„์œจ์ด ์ค„์–ด๋“œ๋Š” ๊ฒƒ์œผ๋กœ ์ƒ๊ฐ๋œ๋‹ค. ๋ฐ˜๋ฉด ์ ‘์ด‰์ด ์ƒ๊ธฐ์ง€ ์•Š๋Š” ์˜์—ญ์€ ์ง€์ฃผ์˜ ๊ต์ฐจ๋ฅผ ๋ฐœ์ƒ์‹œํ‚จ๋‹ค. ์ด์— ๋”ฐ๋ผ์„œ ND ๋ฐฉํ–ฅ์œผ๋กœ ์ธ์žฅ์‹œํ—˜์„ ์ง„ํ–‰ํ•œ ๊ฒฝ์šฐ, ์ ‘์ด‰๋˜์–ด ์žˆ๋Š” ์˜์—ญ์ด ๋งค์šฐ ์ข๊ฒŒ ํ˜•์„ฑ๋˜์–ด ์žˆ์–ด ๋งค์šฐ ๋‚ฎ์€ ๊ฐ•๋„, ๋‚ฎ์€ ํƒ„์„ฑ ๊ณ„์ˆ˜๋ฅผ ๋‚˜ํƒ€๋‚ด๋Š” ๊ฒƒ์œผ๋กœ ์˜ˆ์ƒํ•  ์ˆ˜ ์žˆ์œผ๋ฉฐ, ํŒŒ๊ดด ์‹œ ์ข์€ ์˜์—ญ์—์„œ๋งŒ ํŒŒ๋ฉด์ด ๋‚˜ํƒ€๋‚˜๋Š” ๊ฒƒ์œผ๋กœ ์‚ฌ๋ฃŒ๋œ๋‹ค. ํ•œํŽธ RD ๋ฐฉํ–ฅ์œผ๋กœ ์••์ถ•์„ ์ˆ˜ํ–‰ํ•œ ๊ฒฝ์šฐ, ์ƒ๊ธฐ์˜ ๊ณ„๋ฉด์˜ ๋ถˆ์•ˆ์ •ํ•œ ์ ‘์ด‰์˜์—ญ์ด ์šฐ์„ ์ ์œผ๋กœ ํŒŒ๊ดด๋ฅผ ์ผ์œผํ‚ค๊ณ  ์ด ํ›„ ๊ตฝํž˜ ํ˜„์ƒ์ด ๋ฐœ์ƒํ•จ์— ๋”ฐ๋ผ์„œ ์ตœ๋Œ€๊ฐ•๋„ ์ดํ›„ ์œ ๋™ ์‘๋ ฅ์ด ์ผ์ •ํ•˜๊ฒŒ ์œ ์ง€๋˜๋Š” ๊ฒƒ์œผ๋กœ ์ƒ๊ฐํ•  ์ˆ˜ ์žˆ๋‹ค. ๋ฐ˜๋ฉด RD ๋ฐฉํ–ฅ์œผ๋กœ ์ธ์žฅ์„ ์ˆ˜ํ–‰ํ•œ ๊ฒฝ์šฐ, ์‹œํŠธ ๊ณ„๋ฉด์ด ๊ธฐ๊ณ„์  ํŠน์„ฑ์— ๋ฏธ์น˜๋Š” ์˜ํ–ฅ์ด ๊ฐ์†Œํ•˜๊ฒŒ ๋˜๊ณ  ์ด์— ๋”ฐ๋ผ์„œ ์ง€์ฃผ์˜ ๋ณ€ํ˜• ๊ฑฐ๋™์— ์˜ํ•ด ๊ธฐ๊ณ„์  ํŠน์„ฑ์ด ๊ฒฐ์ •๋œ๋‹ค. ND ๋ฐฉํ–ฅ์œผ๋กœ ์••์ถ•๋˜๋Š” ๊ฒฝ์šฐ, ์‹œํŠธ ๊ณ„๋ฉด์˜ ๋ถˆ์•ˆ์ •ํ•œ ์ ‘์ด‰ ์˜์—ญ์—์„œ ์šฐ์„ ์ ์œผ๋กœ ๋ณ€ํ˜•์ด ๋ฐœ์ƒ๋จ์— ๋”ฐ๋ผ ๋‚ฎ์€ ํ•ญ๋ณต๊ฐ•๋„, ๋‚ฎ์€ ํƒ„์„ฑ๊ณ„์ˆ˜๋ฅผ ๊ฐ€์ง€๊ฒŒ ๋œ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ์ง€์ฃผ ์‚ฌ์ด์—์„œ ๋ณ€ํ˜•๋˜์ง€ ์•Š๊ณ  ๊ต์ฐจ๋œ ์ง€์ฃผ๋Š” ์••์ถ• ๋ณ€ํ˜•์ด ์ง„ํ–‰๋จ์— ๋”ฐ๋ผ์„œ ๋‹ค๋ฅธ ์ง€์ฃผ์™€์˜ ์ ‘์ด‰ ๋˜๋Š” ๋งˆ์ฐฐ์„ ์ผ์œผํ‚ฌ ํ™•๋ฅ ์„ ์ฆ๊ฐ€์‹œํ‚จ๋‹ค. ์ฆ‰, ์ง€์ฃผ์˜ ์ƒํ˜ธ ์ž‘์šฉ์ด ๋ณ€ํ˜•์ด ์ง„ํ–‰๋จ์— ๋”ฐ๋ผ์„œ ์ง€์†์ ์œผ๋กœ ๋‚˜ํƒ€๋‚˜๊ณ  ์ด์— ๋ณ€ํ˜•๊ฒฝํ™”๋ฅผ ์œ ๋ฐœํ•˜๋Š” ๊ฒƒ์œผ๋กœ ์ดํ•ด๋  ์ˆ˜ ์žˆ๋‹ค.

Gibson-Ashby๊ฐ€ ์ œ์‹œํ•œ ๋‹ค๊ณต์ฒด์˜ ์ตœ๋Œ€ ๊ฐ•๋„์™€ ์ƒ๋Œ€ ๋ฐ€๋„์˜ ๊ด€๊ณ„์‹์„ ์ด์šฉํ•˜์—ฌ ๋ฒŒํฌ Ni-Cr-Al ํ•ฉ๊ธˆ์˜ ํ•ญ๋ณต๊ฐ•๋„๋ฅผ ์˜ˆ์ธกํ•ด ๋ณผ ์ˆ˜ ์žˆ๊ณ  ์ด๋ฅผ ๋ฐ”ํƒ•์œผ๋กœ ์ œ์กฐ๋œ ๋‹ค๊ณต์ฒด์˜ ๊ฑด์ „์„ฑ์„ ์˜ˆ์ƒํ•  ์ˆ˜ ์žˆ๋‹ค. ๋ณธ ์—ฐ๊ตฌ์—์„œ Ni-Cr-Al ๋‹ค๊ณต์ฒด๋กœ๋ถ€ํ„ฐ Gibson-Ashby ๊ด€๊ณ„๋ฅผ ์ด์šฉํ•˜์—ฌ ์—ญ์œผ๋กœ ๊ณ„์‚ฐ๋œ Ni-Cr-Al ํ•ฉ๊ธˆ์˜ ๋ฒŒํฌ ํ•ญ๋ณต ๊ฐ•๋„๋Š”, ND๋ฐฉํ–ฅ ์ธ์žฅ์—์„œ 60.1 MPa, RD ๋ฐฉํ–ฅ ์ธ์žฅ์—์„œ 1033.8 MPa, ND๋ฐฉํ–ฅ ์••์ถ•์—์„œ 273.0 MPa, RD ๋ฐฉํ–ฅ ์••์ถ•์—์„œ 748.7 MPa๋กœ ์–ป์–ด์กŒ๋‹ค. ์œ ์‚ฌํ•œ ์กฐ์„ฑ์„ ๊ฐ€์ง€๋Š” ๊ธฐ์กด ๊ณต์ •์œผ๋กœ ์ œ์กฐ๋œ ๋ฒŒํฌ Ni-Cr-Al๊ณ„ ํ•ฉ๊ธˆ์˜ ์ƒ์˜จ ํ•ญ๋ณต ๊ฐ•๋„๋Š” ์•ฝ 800 - 1500 MPa [28-32]๋กœ ๋ณด๊ณ ๋˜๊ณ  ์žˆ๋‹ค. ์ฆ‰, RD ๋ฐฉํ–ฅ์˜ ์ธ์žฅ ๋ฐ ์••์ถ•์˜ ๊ฒฝ์šฐ, ๊ธฐ์กด ๋ฌธํ—Œ์—์„œ ์–ธ๊ธ‰๋œ ์œ ์‚ฌํ•œ ๊ฐ•๋„๊ฐ€ ๋‚˜ํƒ€๋‚˜๊ณ  ์žˆ์œผ๋‚˜ ND ๋ฐฉํ–ฅ์˜ ๊ฒฝ์šฐ ์ƒ๋Œ€์ ์œผ๋กœ ๋งค์šฐ ๋‚ฎ์€ ๊ฐ’๋“ค์„ ๋‚˜ํƒ€๋‚ด์—ˆ๋‹ค. ์ด๋Š” ์ „์ˆ ํ•œ ๋ฐ”์™€ ๊ฐ™์ด ๋ณธ ์—ฐ๊ตฌ์—์„œ ์ œ์กฐ๋œ ๋‹ค๊ณต์ฒด ์†Œ์žฌ์˜ ๊ตฌ์กฐ์  ๋ถˆ์•ˆ์ •์„ฑ์— ๊ธฐ์ธํ•˜๋Š” ๊ฒƒ์œผ๋กœ ํŒ๋‹จ๋œ๋‹ค.

๋ณธ ์—ฐ๊ตฌ์—์„œ ์ œ์กฐ๋œ ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด๋Š” ๋ฏธ์„ธ์กฐ์ง์—์„œ ๊ด€์ฐฐ๋œ ๊ฒƒ๊ณผ ๊ฐ™์ด ์ •ํ™•ํ•œ ์กฐ์„ฑ ์ œ์–ด๊ฐ€ ๊ฐ€๋Šฅํ•˜๋ฉฐ ์ดˆ๊ธฐ ํด๋ฆฌ๋จธ ๋‹ค๊ณต์ฒด์˜ ๊ธฐ๊ณต์„ ์ œ์–ดํ•˜์—ฌ ๊ธˆ์† ๋‹ค๊ณต์ฒด์˜ ๊ธฐ๊ณต ๊ตฌ์กฐ๋ฅผ ์‰ฝ๊ฒŒ ์ œ์–ด๊ฐ€ ๊ฐ€๋Šฅํ•˜๋‹ค. ๋ฐ˜๋ฉด ๊ธฐ๊ณ„์  ํŠน์„ฑ์˜ ๊ฒฝ์šฐ, ๋ธ”๋ก ํ˜•ํƒœ๋ฅผ ์ œ์กฐํ•˜๊ธฐ ์œ„ํ•˜์—ฌ ์ ์šฉ๋œ ๋‹ค์ธต ์‹œํŠธ ์ ์ธต๊ณผ ๊ณ ์˜จ ์••์—ฐ ๊ณต์ •์— ์˜ํ•˜์—ฌ ๊ตฌ์กฐ์ ์œผ๋กœ ๋ถˆ๊ท ์ผํ•œ ํ˜•ํƒœ๋ฅผ ๋‚˜ํƒ€๋‚ด๊ณ  ์žˆ์œผ๋ฉฐ ์ด์— ๋”ฐ๋ผ ๊ธฐ๊ณ„์  ํŠน์„ฑ์˜ ์ด๋ฐฉ์„ฑ, ๋น„๋Œ€์นญ์„ฑ์„ ๋‚˜ํƒ€๋‚ด์—ˆ๋‹ค.

4. ๊ฒฐ ๋ก 

๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” ๋ถ„๋ง ํ•ฉ๊ธˆ ๊ณต์ •์„ ํ†ตํ•˜์—ฌ Ni-Cr-Al ๋‹ค๊ณต์ฒด ์‹œํŠธ๋ฅผ ์ด์šฉํ•˜์—ฌ 300 mm (WD) ร— 500 mm (RD) ร— 60 mm (ND) ํฌ๊ธฐ๋กœ ๋ธ”๋ก ํ˜•ํƒœ์˜ ๋‹ค๊ณต์ฒด๋ฅผ ์ œ์กฐํ•˜์˜€๋‹ค. ๊ทธ๋ฆฌ๊ณ  ์ƒ์˜จ ์ธ์žฅ, ์••์ถ• ์‹œํ—˜์„ ์ˆ˜ํ–‰ํ•˜์—ฌ ๋‹ค์Œ๊ณผ ๊ฐ™์€ ๊ฒฐ๊ณผ๋ฅผ ์–ป์„ ์ˆ˜ ์žˆ์—ˆ๋‹ค.

(1) ์‹œํŠธ ๊ณ„๋ฉด์—์„œ ์ผ๋ถ€ ์ง€์ฃผ๋Š” ๋ณ€ํ˜•์ด ํฌ๊ฒŒ ๋ฐœ์ƒ๋˜์–ด ์žˆ์—ˆ์œผ๋ฉฐ ๋˜ ๋‹ค๋ฅธ ์ผ๋ถ€์˜ ์ง€์ฃผ๋Š” ๋ณ€ํ˜•์—†์ด ๊ต์ฐจ๋˜๋Š” ํ˜•ํƒœ๋ฅผ ๋ณด์˜€๋‹ค. ํ‰๊ท  ๊ธฐ๊ณต ํฌ๊ธฐ๋Š” ๋ฐฉํ–ฅ์— ๋”ฐ๋ผ 2493.2 ฮผm (ND), 2988.1 ฮผm (RD), 2569.6 ฮผm (WD)์œผ๋กœ ์ธก์ •๋˜์—ˆ๋‹ค. ์ง€์ฃผ์˜ ํ‰๊ท  ๋‘๊ป˜๋Š” 340.8 ฮผm, ์ง€์ฃผ ๋ฒฝ๋ฉด ๋‘๊ป˜๋Š” 27.7 ฮผm๋กœ ์ธก์ •๋˜์—ˆ์œผ๋ฉฐ, 95.45%์˜ ๊ธฐ๊ณต๋„, 4.55%์˜ ์ƒ๋Œ€๋ฐ€๋„๋ฅผ ๊ฐ€์ง€๋Š” ๊ฒƒ์œผ๋กœ ํ™•์ธ๋˜์—ˆ๋‹ค.

(2) ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด๋Š” ฮณ (Ni-based matrix)์™€ ฮณโ€™ (Ni3Al) ์ƒ๋“ค๋กœ ๊ตฌ์„ฑ๋˜์–ด ์žˆ์—ˆ๋‹ค. ฮณโ€™์ƒ์˜ ๋ถ„์œจ์€ 60.7%, ํ‰๊ท  ํฌ๊ธฐ๋Š” 0.943 ฮผm, ์ตœ๋Œ€ ํฌ๊ธฐ๋Š” 3.985 ฮผm, ์ตœ์†Œ ํฌ๊ธฐ๋Š” 0.112 ฮผm๋กœ ์ธก์ •๋˜์—ˆ๋‹ค. ๊ฒฐ์ •๋ฆฝ ๋‚ด๋ถ€์—์„œ๋Š” ์•ฝ 600 ~ 800 nm์˜ ฮณโ€™์ƒ์ด ์œก๋ฉด์ฒด ํ˜•ํƒœ๋กœ ๊ท ์ผํ•˜๊ฒŒ ๋ถ„ํฌ๋˜์–ด ์žˆ์—ˆ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ๊ฒฐ์ •๋ฆฝ๊ณ„์—์„œ์˜ ฮณโ€™ (Ni3Al)์€ ์ƒ๋Œ€์ ์œผ๋กœ ๋” ํฐ ํฌ๊ธฐ์˜ ํŒ์ƒ์œผ๋กœ ๋‚˜ํƒ€๋‚ฌ๋‹ค.

(3) ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด๋Š” ๊ธฐ๊ณ„์  ํŠน์„ฑ์˜ ์ด๋ฐฉ์„ฑ(๋ฐฉํ–ฅ์— ๋”ฐ๋ฅธ) ๋ฐ ๋น„๋Œ€์นญ์„ฑ(์ธ์žฅ ๋ฐ ์••์ถ• ์ฐจ์ด)์„ ๋‚˜ํƒ€๋‚ด์—ˆ๋‹ค. ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด์˜ ND ๋ฐฉํ–ฅ ์ธ์žฅ ํŠน์„ฑ์€ 0.175 MPa์˜ ํ•ญ๋ณต ๊ฐ•๋„, 0.233 MPa์˜ ์ธ์žฅ ๊ฐ•๋„, 2.54%์˜ ์—ฐ์‹ ์œจ์„ ๋‚˜ํƒ€๋‚ธ ๋ฐ˜๋ฉด, RD ๋ฐฉํ–ฅ์˜ ์ธ์žฅ ํŠน์„ฑ์€ 1.27 MPa์˜ ํ•ญ๋ณต ๊ฐ•๋„, 3.01 MPa์˜ ์ธ์žฅ ๊ฐ•๋„, 8.92%์˜ ์—ฐ์‹ ์œจ๋กœ ์ธก์ •๋˜์—ˆ๋‹ค. ND ๋ฐฉํ–ฅ์œผ๋กœ ์••์ถ•์„ ํ•œ ๊ฒฝ์šฐ์—๋Š” 0.795 MPa์˜ ํ•ญ๋ณต ๊ฐ•๋„, RD ๋ฐฉํ–ฅ์—์„œ๋Š” 2.18 MPa์˜ ํ•ญ๋ณต ๊ฐ•๋„๋ฅผ ๊ฐ๊ฐ ๋‚˜ํƒ€๋‚ด์—ˆ๋‹ค.

(4) ๋ณธ ์—ฐ๊ตฌ์—์„œ ๋‚˜ํƒ€๋‚œ ๊ธฐ๊ณ„์  ํŠน์„ฑ๊ณผ ๋ณ€ํ˜• ๊ฑฐ๋™์˜ ์ฐจ์ด๋Š” ๋ธ”๋ก Ni-Cr-Al ๋‹ค๊ณต์ฒด์˜ ๋ฐฉํ–ฅ์— ๋”ฐ๋ฅธ ๊ธฐ๊ณต ์ฐจ์ด ๋ฐ ๊ตฌ์กฐ์  ํŠน์ด์„ฑ์— ๊ธฐ์ธํ•œ ๊ฒƒ์œผ๋กœ ์„ค๋ช…๋˜์—ˆ๋‹ค. X-์„  ๋‹จ์ธต ์ดฌ์˜ ํ†ตํ•˜์—ฌ ์‹œํŠธ Ni-Cr-Al๋“ค์˜ ๊ณ„๋ฉด์—์„œ ์ข์€ ์˜์—ญ ๋ถ€์œ„์—์„œ๋งŒ ์ ‘ํ•ฉ์ด ์ด๋ฃจ์–ด์ง„ ๊ฒƒ์„ ํ™•์ธํ•  ์ˆ˜ ์žˆ์—ˆ๋‹ค. ์ฆ‰ ๋‹ค๊ณต์ฒด์˜ ๊ธฐ๊ณ„์  ํŠน์„ฑ์„ ์œ ์ง€์‹œ์ผœ ์ค„ ์ˆ˜ ์žˆ๋Š” ๊ณ„๋ฉด์—์„œ์˜ ์ง€์ฃผ์˜ ์—ฐ์†์„ฑ์ด ์ค„์–ด๋“ค์–ด ๊ธฐ๊ณ„์  ์ด๋ฐฉ์„ฑ, ๋น„๋Œ€์นญ์„ฑ์„ ๋‚˜ํƒ€๋‚ด๋Š” ๊ฒƒ์œผ๋กœ ํ•ด์„๋˜์—ˆ๋‹ค.

Acknowledgements

This study was supported by a grant from the strategic core material program funded by the Ministry of Trade, Industry, and Energy, Republic of Korea.

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Figures and Tables

Fig. 1.

(a) Macroscopic image of multi-sheet stacked Ni-Cr-Al superalloy foam used in this study, and schematic diagram of the size and morphology for (b) compression and (c) tensile tests.

../../Resources/kim/KJMM.2020.58/kjmm-2020-58-2-103f1.jpg
Fig. 2.

(a) 3D SEM images and (b) SEM side-view of block Ni-Cr-Al metallic foam used in this study.

../../Resources/kim/KJMM.2020.58/kjmm-2020-58-2-103f2.jpg
Fig. 3.

XRD analysis results for multi-sheet stacked block Ni-Cr-Al foam used in this study.

../../Resources/kim/KJMM.2020.58/kjmm-2020-58-2-103f3.jpg
Fig. 4.

SEM micrographs of typical microstructures of block Ni-Cr-Al superalloy foam; (a-c) surface morphologies of the strut, (d) microstructure of interior, and distribution of alloying elements in Ni-Cr-Al superalloy foam.

../../Resources/kim/KJMM.2020.58/kjmm-2020-58-2-103f4.jpg
Fig. 5.

(a) Tensile and (b) compressive stress-strain curves of the block Ni-Cr-Al superalloy foam according to different loading direction.

../../Resources/kim/KJMM.2020.58/kjmm-2020-58-2-103f5.jpg
Fig. 6.

Macroscopic images and tensile deformed/fractured surfaces of block Ni-Cr-Al foam; (a) loading direction along RD direction and (b) ND direction.

../../Resources/kim/KJMM.2020.58/kjmm-2020-58-2-103f6.jpg
Fig. 7.

Macroscopic images and compressive deformed/fractured surfaces of block Ni-Cr-Al foams; (a) loading direction along RD direction and (b) ND direction.

../../Resources/kim/KJMM.2020.58/kjmm-2020-58-2-103f7.jpg
Fig. 8.

CT scanning results of initial block Ni-Cr-Al superalloy foam (contact regions are pointed by yellow square, and non-contact regions are pointed by blue square).

../../Resources/kim/KJMM.2020.58/kjmm-2020-58-2-103f8.jpg
Table 1.

Structural characteristics of a block Ni-Cr-Al superalloy foam.

Parameters Multi-sheet stacked block Ni-Cr-Al foam
Aver. Pore size ND (ฮผm) 2493.2
WD (ฮผm) 2569.6
RD (ฮผm) 2988.1
Strut thickness (ฮผm) 340.8
Cell wall thickness (ฮผm) 27.7
Relative density 4.55
Porosity (%) 95.45
Table 2.

Microstructural characteristics of struts in a multi-sheet stacked block Ni-Cr-Al superalloy foam.

Parameters Multi-sheet stacked block Ni-Cr-Al foam
ฮณยด volume fraction (%) 60.7
Average ฮณยด size (ฮผm) 0.943
ฮณยด size standard deviation (ฮผm) 0.566
Maximum ฮณยด size (ฮผm) 3.985
Minimum ฮณยด size (ฮผm) 0.112
Contiguity of ฮณยด (Cฮณยด) 0.053