a review on mechanical behaviour of pmma

7/21/2019 A Review on Mechanical Behaviour of Pmma

1/11

36 5 2014 10

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( 030024)( 030024)

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: O345 : A doi10.6052/1000-0879-13-442

A REVIEW ON MECHANICAL BEHAVIOUR OF PMMA1)

DENG Xiaoqiu, LI Zhiqiang,,2) ZHAO Longmao, YAO Xiaohu

(Institute of Applied Mechanics and Biomedical Engineering, Taiyuan University of Technology, Taiyuan 030024, China)(Shanxi Key Laboratory of Material Strength and Structural Impact, Taiyuan 030024, China)

(School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China)

Abstract Since PMMA (polymethyl-methacrylate) is an important material used for the aircraft windshield

and canopy, it is necessary to study its mechanical properties. This paper reviews the studies of mechanical

properties of PMMA. Constitutive models on viscoelasticity, inelasticity, yield stress and module related to tem-

perature are summarized. Recent quasi-static and dynamic experiments are discussed, while several examples

in molecular dynamic simulation and finite element analysis are described. The new research directions are

commented.

Key words PMMA (polymethyl-methacrylate), constitutive model, mechanical experiment, numerical simu-

lation

(polymethyl-methacrylate, PMMA)

.

.

1905 1

.

[1],

7% 5.7t

54% 1.

.

.

20131023 1 20131128 .

1) (11072166) (2011DFA53080) .

2) , . E-mail: [email protected]


2/11

5 541

.

.

.

[2-3].

(Tg)

Tg 100C

120

C

.

1

Tg

.

-- 2 0.1s1,

2000s1.

1 [2]

2 --

.

() (split Hopkinson pressure bar,

SHPB)

(105 s1104 s1) ()

[4](dynamic

mechanical analysis, DMA)

[5-6] .

PMMA

.

.

(1) Li [7] PMMA (polycarbon-

ate, PC) (

104 s1103 s1)PMMA .

. PMMA

PMMA .

Chen [8] SHPB

PMMA

.

.

[9] PMMA

PMMA

18.6s1 .

ZWT (Zhu--Wang--Tang)

6 Maxwell

. [10]

.

Rittel [11] PMMA

.

. .

.


3/11

542 2014 36

--

. Drucker--Prager

( 103 s1104 s1).

Forquin [12] [11]

.

.

(2)

Murphy [13] PMMA

.

.

[14]

.

.

GSell [15] (polyethy-

lene terephthalate, PET) (high

impact polystyrene, HIPS)

.

[16] I II PMMA

.

.

[17] MDYB-3

.

[18] MDYB-3

(

103 s1103 s1 218K373K)

. MDYB-3

.

2 . PMMA

PMMA

.

(3)

[19] MDYB-3

.

3 .

(4)

Sane [20] DMA (dynamic ther-

mane chanical analysis) (polyvinyl alcohol, PVA) PMMA

.

.

. Segreti [21] PMMA

PMMA

. PMMA

PMMA

. [22]

. [23] PMMA .

Giddings [24] PMMA

SimplexP

. Boger [25]

PMMA PMMA

3

PMMA .

[26]

.

1

.


4/11

5 543

[2].

(methyl

methacrylate, MMA)

[27].

.

YB-3

[28].

[29-30].

10C 30C

MMA

(methacrylic acid, MAA)

[31]

.

.

[32-33]

MMA

(polyhedral oligomeric silsesquioxane,

POSS)[34] [35]

(graphene nanosheets)[36]MAA

(methacrylamide, MAAM) [37]

(di-t-butyl peroxide)

[38]. [39]

Yang [40] Chauhan [41] MMA, N-

()

.

(1)

(2) -- --

. --

( 50%70%)[42-43](3)

(4)

.

[30] YB-2, YB-3, YB-DM-3(MDYB-3)

[28].

2

Maxwell

Voight/Kelvin

[5]

.

[44-45].

.

Perzyna Bodner--Partom (BP )[46]Krempl

Colak [47-49]

[45]

Eyring [50-52]

Haward--Thachray ( 3) [53]

Argon [54] (Boyce--Parks--Argon, BPA)

[55]

( 4) (Arruda--Boyce 5) [56-57] [58]Anand

[59].


5/11

544 2014 36

.

3

4

5

2.1

(

)

-- . [45].

2.1.1

Boyce [55] 3 (ran-

dom walk statistics)

BPA .

(driving stressBPA

)

(back stress)

.

B3--chaini =CR

N

3

Pi L

1 Pi

N

1

3

3j=1

PjL1 Pj

N

(1)

CR Pi N

L .

2.1.2

Arruda [56-57]

-- .

B8--chaini =CRN3Pi L1

P

chainN

1

3pchain

3j=1

P2j L1Pchain

N

(2)

CR

(n)

(k) () n

. Pchain

Pchain= 13

(P2

1

+ P2

2

+ P2

3

) (3)

[60] PMMA

.

2.1.3

Wu [58]

n

.

(molecular chain orientation distribution function)

.

3

Bfull--chaini = (1 P)B3--chaini + PB8--chaini (4)

P = 0.85Pmax/NPmax

.

2.1.4

[56]


6/11

5 545

--

.

Ahzi [61]

Boyce [62]

Ayoub [63]

--

. Drozdov [64]

.

Mulliken [65] DMA PC

PMMA

-- .

[56-57]

()

-- 6 .

PMMA PC

.

.

6

2.1.5 Anand

Anand Gurtin[66-67]

Anand [59] .

.

. (frame--

indifference) (

)

.

7 .

Anand [68]

Voight/Kelvin -- 7.

7 Anand

Hasan [69] /

. Anand [70] Ames [71]

Bergstrom

[72]

Anand .

2.2

Maxwell Voight/Kelvin

.

.

[73-74] Green--Rivlin

[75] Coleman--Noll

[76]

ZWT

(29) 8.

[77].

(t) = E0(t) + 2(t) + 3(t)+

E1

t0

()expt 1

d+

E2

t0

()expt 2

d (5)

E0, ; E1

1 Maxwell


7/11

546 2014 36

8 ZWT

E2 2 Maxwell

. [74]

.

ZWT Tervoort [78]

Leonov Leonov

Maxwell .

.

Ho [47] Krempl [48] (viscoplas-

ticity theory based on overstress, VBO)

.

. Colak [49] Krempl

.

[79] .

2.3

Zari [44]

BP

. [80]

.

.

2.4

--

.

Mahieux [81]

Weibull

3

. Richeton [82]

[81]

3

PC PMMA

DMA .

Richeton [83] Eyring

[50] Fotheringham [84]

-- [85]

. [86] PC, PMMA

(polyamideimide, PAI) ()

--

.

3

.

. Lin [87]

PMMA . Gao [88] 3

ABAQUS (UMAT)

MDYB-3 . Dorogoy

[89] Drucker--Prager [11]

PMMA

PMMA .

.

(quantum mechanics, QM)

(Monte Carlo method, MC)

(molecular mechanics, MM) (molecu-

lar dynamics, MD)

MC MM

MD .


8/11

5 547

[90-91]

(1)

(2)

(3)

(4)

.

.

Sane [92] Cerius2 PMMA

.

Drei-

ding (NVT) 5

25ps NPT

[20].

.

. Dreiding Qeq

NPT

25ps.

Tung [93] Cerius2 (

) PMMA

PMMA

.

.

PMMA PMMA

.

PMMA

PMMA .

4

PMMA

. --

-- .

ZWT ZWT .

PMMA

.

.

PMMA ()

. PMMA

PMMA .

.

.

.

().

() --

.

.

.

.

PMMA

.

PMMA

. PMMA

.

(1)

.


9/11

548 2014 36

.

(2)

. MC

.

(3)

.

.

.

.

.

PMMA

.

PMMA

.

PMMA .

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(: )

() .

()

-- -- .(

)

a review on mechanical behaviour of pmma

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