( Ê · Û © Ñ × Þ î © Ù å > E 9× ( Ê) Û Ó Û S4 b#Õ B 2Mem. Grad. Eng. Univ. Fukui,...

6
* * Generation Method of Polymer Crystalline Lamella in Molecular Dynamics Simulation Tadaaki YAMADA * and Yoshinori TAMAI * (Received January 19, 2018) In order to study fracture and deformation of semicrystalline polymer materials using a molecular dynamics (MD) simulation, we have to generate lamella structures. In this study, a new method to generate the lamella structures was proposed and tested. The MD simulations were performed using NVT or NPT ensemble in the temperature range of 300-1000 K. The stability of crystals, molecular arrangements, and chain entanglements were examined carefully, using various initial chain arrangements and thermal histories. Obtained lamella structure shows satisfactory response to external stresses. Key Words : Molecular Dynamics Simulation, Lamella, Polypropylene, Crystal 1. 㧗ḟᵓ㐀ᣢ㧗ศᏊ⤖ࡣ࣓㸪ศᏊ➼ᵝ࡞ࠎせ⣲࠶ࡀ㸪㧗ศᏊᮦ ◚ࡢቯᶵᵓ࠸ࡘศᏊ㆟ㄽᚲせ ࠶ࡀ㸬⤖ᬗᛶ㧗ศᏊ⌫ࡣ⌫࠺࠸⤖ࡢᬗ⤌⧊ ᵓᡂ㸬⌫ᬗᯈ≧⤖ᬗᨺᑕ≧ఙ㸬⌫ᬗෆ⤖ࡣ✚ࡢࢫᒙᵓ㐀ࡗ࡞ศᏊ㙐ᆶ┤᪉୪≧ែ⤖ᬗ ࡉࢢ㸬࣓㛫⤖ࡣᬗኈ⧅ࢱࡄᏑᅾศᏊᙧែ㸬ඹ᭷ ⤖⤖ᬗኈ⤖ศᏊ㙐㸪 㸪⤖ᬗฟศᏊ㙐 ࡅࡔ≧ែ➼ [1] Ꮡᅾẚ⋡ࡗ࡞࠸࡞࠸ࢱࡋ ศᏊ㧗ศᏊຊᏛ≉ᛶ࡞ࡁᙳ㡪ཬࡓࡍ ↓ど࠸࡞ࡁᏑᅾ ࡅ࡞࡞ࡤ࠸࡞ࡢࡇ ࡞࠺◚ቯ㛵せ⣲ศᏊㄪ㸪㧗 * ᕤᏛ◊✲⛉≀⌮ᕤᏛᑓᨷ * Applied Physics Course, Graduate School of ___Engineering ศᏊᛂຊ༳ຍࢩࡢ ࡓࡢࡑ✲◊ࡣᑐ㇟㧗ศᏊసᡂࡅ࡞ࡋ࡞ࡤ࠸࡞㸬⤖ᬗẚ㍑ⓗᐜసᡂࡏࡉศᏊ⣔ཎᏊసᡂ ヨ⾜㘒ㄗᚲせࡇࡑ㸪⾲㠃 ≉ṦศᏊ㙐㓄⨨᮲௳⇕ฎ⌮ ᗘศᏊ㙐㓄⨨ 㧗ศᏊᛂ⟅ᛶㄪ㸪࣓ᵓ㐀⏕ᡂ 㐺ษ᮲௳Ỵᐃࡓࡋ2. s-PP ⤖ᬗX ⥺ᅇᢡᐇ㦂 [2] ࢹࡢᵓ㐀⏕ᡂࡓࡋ3 ḟඖ࿘ᮇቃ⏺᮲௳⏝⤖ᬗ ศᏊ㙐᪉↓㝈✚ᒙ࣓ᵓ㐀⏕ᡂ ࡓࡋ㸬⤊ⓗసᡂࡓࡋ࣓ᵓ㐀࠸ࡘ⤖ࡣ㔜ᗘ32㔜ᗘ32128 㸬⥲ཎᏊ2 㸬࣓ᵓ㐀 ⤖ࡢᬗ㒊ศ௨እᐦᗘ࡞ࡃศᏊ㙐㓄 ࡋ⨨ෆ⤖ᬗኈ⤖ศᏊ (entangled cilium)⤡ࡀࡓࡋ㸬㧗  ศᏊ㙐⤡ࡓࡏᚋ㸪෭㸪ᚋ ࢧࡢゅᗘᅛᐃゎ㝖ࡓࡋ㸬ศᏊ 17 福井大学 大学院工学研究科 研究報告 66 2018 3 Mem. Grad. Eng. Univ. Fukui, Vol. 66March 2018

Transcript of ( Ê · Û © Ñ × Þ î © Ù å > E 9× ( Ê) Û Ó Û S4 b#Õ B 2Mem. Grad. Eng. Univ. Fukui,...

Page 1: ( Ê · Û © Ñ × Þ î © Ù å > E 9× ( Ê) Û Ó Û S4 b#Õ B 2Mem. Grad. Eng. Univ. Fukui, Vol. 66 (March 2018) 6P b4Ä*( 2 x!Õ #. ² ó b ô _ X 8 Z c3( [3Ù m >, ( Ê

* *

Generation Method of Polymer Crystalline Lamella in Molecular Dynamics Simulation

Tadaaki YAMADA* and Yoshinori TAMAI*

(Received January 19, 2018)

In order to study fracture and deformation of semicrystalline polymer materials using a

molecular dynamics (MD) simulation, we have to generate lamella structures. In this study, a new method to generate the lamella structures was proposed and tested. The MD simulations were performed using NVT or NPT ensemble in the temperature range of 300-1000 K. The stability of crystals, molecular arrangements, and chain entanglements were examined carefully, using various initial chain arrangements and thermal histories. Obtained lamella structure shows satisfactory response to external stresses.

Key Words : Molecular Dynamics Simulation, Lamella, Polypropylene, Crystal 1.

[1]

* * Applied Physics Course, Graduate School of

___Engineering

2.

s-PP X [2]

3

32 32128 2

(entangled cilium)

17福井大学 大学院工学研究科 研究報告 第66巻2018年3月Mem. Grad. Eng. Univ. Fukui, Vol. 66(March 2018)

Page 2: ( Ê · Û © Ñ × Þ î © Ù å > E 9× ( Ê) Û Ó Û S4 b#Õ B 2Mem. Grad. Eng. Univ. Fukui, Vol. 66 (March 2018) 6P b4Ä*( 2 x!Õ #. ² ó b ô _ X 8 Z c3( [3Ù m >, ( Ê

3AMBER

SHAKEParrinello-Rahman

S h0-1(S p)(h0

-1)tV0 h

p V 0

PAMPS

3. 3.1

s-PP I II300 K 1000 K

NVT 100 K1 121 ps

148 c 48

a 6 b 8a b

X [2]

900 K 800 K 900 K NPT

3.2

248

2424 300 K 260 ps NVT

3

300 K 800 K 900 K 1000 K form I

300 K 800 K 900 K 1000 K form II

1 s-PPac

400 K 700 K

2

18

Page 3: ( Ê · Û © Ñ × Þ î © Ù å > E 9× ( Ê) Û Ó Û S4 b#Õ B 2Mem. Grad. Eng. Univ. Fukui, Vol. 66 (March 2018) 6P b4Ä*( 2 x!Õ #. ² ó b ô _ X 8 Z c3( [3Ù m >, ( Ê

4NVT 121 ps

NPT

1

5

300 K 6300 K

NPT

800 K NVT700 K, 600 K 20 ps NPT

NPT

form I

form II

3 300 K NVT

form I form II 4 NVT

form I 900 K, form II 800 K 121 ps

5

b-axis

c-axis

a-axis

c-axis

300 K NVT

300 K NVT

19

Page 4: ( Ê · Û © Ñ × Þ î © Ù å > E 9× ( Ê) Û Ó Û S4 b#Õ B 2Mem. Grad. Eng. Univ. Fukui, Vol. 66 (March 2018) 6P b4Ä*( 2 x!Õ #. ² ó b ô _ X 8 Z c3( [3Ù m >, ( Ê

20 ps7

600 K (10021 ps) NVT 600 K

300 KNPT

1 ns NPT

3.3

6 nm 4 nm 1

1 s-PP

3.4

5 41 8

[1]

9

Ptie 1/4 1/8 1/48 33

Namo 32 Ptie 1/48Namo = 64, 128 10 Namo

32 64 128 1 ps

24 12 611

6

NVT 800 K NPT 700 K NPT 600 K 121 ps 20 ps 20 ps

7 800 K(NVT) 600 K(NPT) s-PP form I

crystal (g/cm3) amorphous (g/cm3) Simulation 0.911 0.823

Experiment [3] 0.900 0.858

8 (entangled cilium)

Ptie 1/4 Ptie 1/8 Ptie 1/48 9 ab

20

Page 5: ( Ê · Û © Ñ × Þ î © Ù å > E 9× ( Ê) Û Ó Û S4 b#Õ B 2Mem. Grad. Eng. Univ. Fukui, Vol. 66 (March 2018) 6P b4Ä*( 2 x!Õ #. ² ó b ô _ X 8 Z c3( [3Ù m >, ( Ê

Namo 128 10

Ptie 1/48 ac1 ps

3.5

12 s-PP form I

2

5

3.6

13 s-PP form I c

400 K

[4] 5%

Namo 32 Namo 64 Namo 128 11 ab

acPtie 1/48

12 s-PP form Iyz

Namo 32

Namo 64

21

Page 6: ( Ê · Û © Ñ × Þ î © Ù å > E 9× ( Ê) Û Ó Û S4 b#Õ B 2Mem. Grad. Eng. Univ. Fukui, Vol. 66 (March 2018) 6P b4Ä*( 2 x!Õ #. ² ó b ô _ X 8 Z c3( [3Ù m >, ( Ê

514

s-PPPP [3] 1.032 GPa

1.720 GPa Gyz

1.01 GPa

4

[1] B. Elvers, Eds., Products and Processes, Wiley-VCH, Weinheim (2016). [2] C. De Rosa and P. Corradini, Macromolecules 26, 5711 (1993). [3] and

[4] J. X. Li and W. L. Cheung, C. M. Chan, Polymer 40, 2089 (1999).

13 s-PP c entangled 5

not entangled 2

entangled not entangled

300 K 400 K 500 K

strain

14 s-PP a , b c

E , G

/

G

Pa

1/48 1/8 1/4

Ptie

12

10

8

6

4

2

0

22