Table 1 Reported and estimated parameters of growth/swelling film-substrate systems with various surface instabilities in published studies

From: A three-dimensional phase diagram of growth-induced surface instabilities

Reference

System

Instability type

εM

μf/μs

Γ/(μsHf)</emph>

16,18

tissue

fold

0.29 − 0.4

1.5 − 15

>103

14

tissue

wrinkle

0.05 − 0.18

100 − 300

>103

22

tissue

wrinkle

0.1 − 0.15

5 − 50

>103

21

tissue

wrinkle, period-double

0.05 − 0.45

10 − 100

>103

19

epithelia

wrinkle

0.05 − 0.2

~25

>103

25,26

epithelia

delaminated-buckle

0.1 − 0.22

1 − 100

10−3 − 1

27

blood cell

wrinkle

0.05 − 0.2

50 − 100

>103

9,10,11

biofilm

delaminated-buckle

0 − 0.4

0.1 − 10

10−3 − 0.2

3,6,8

fruit

wrinkle, period-double

0.1 − 0.4

10 − 100

>103

34,52,53,56

hydrogel

crease

0.32 − 0.5

<10−3

>103

24

hydrogel

crease, wrinkle, fold

0.25 − 0.45

1 − 20

>103

55

hydrogel

wrinkle, fold

0.3 − 0.55

~25

>103

54

Sylgard

crease, delaminated-buckle

0.3 − 0.51

<10−3

5 × 10−5 − 5 × 10−3

57

Sylgard

wrinkle, ridge

0.05 − 0.45

~104

>103