Wrinkling Phenomena in Neo-Hookean Film/Substrate Bilayers

被引:230
作者
Cao, Yanping [1 ]
Hutchinson, John W. [2 ]
机构
[1] Tsinghua Univ, Dept Engn Mech, AML, Beijing 100084, Peoples R China
[2] Harvard Univ, Sch Engn & Appl Sci, Cambridge, MA 02138 USA
来源
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 2012年 / 79卷 / 03期
关键词
wrinkling; neo-Hookean bilayer; bifurcation; period-doubling; folding;
D O I
10.1115/1.4005960
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Wrinkling modes are determined for a two-layer system comprised of a neo-Hookean film bonded to an infinitely deep neo-Hookean substrate with the entire bilayer undergoing compression. The full range of the film/substrate modulus ratio is considered from the limit of a traction-free homogeneous substrate to very stiff films on compliant substrates. The role of substrate prestretch is considered wherein an unstretched film is bonded to a prestretched substrate with wrinkling arising as the stretch in the substrate is relaxed. An exact bifurcation analysis reveals the critical strain in the film at the onset of wrinkling. Numerical simulations carried out within a finite element framework uncover advanced post-bifurcation modes including period-doubling, folding and a newly identified mountain ridge mode. [DOI: 10.1115/1.4005960]
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页数:9
相关论文
共 14 条
[1]  
Allen H, 1969, Analysis and Design of Sandwich Structure Panels
[2]  
[Anonymous], 2008, ABAQUS ANAL USERS MA
[3]  
Biot MA, 1963, Appl Sci Res, Sect A, V12, P168, DOI [10.1007/BF03184638, DOI 10.1007/BF03184638]
[4]  
Biot MA, 1965, Mechanics of incremental deformations
[5]  
Brau F., 2010, NAT PHYS, V7, P56, DOI DOI 10.1038/NPHYS1806)
[6]   Periodic patterns and energy states of buckled films on compliant substrates [J].
Cai, S. ;
Breid, D. ;
Crosby, A. J. ;
Suo, Z. ;
Hutchinson, J. W. .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2011, 59 (05) :1094-1114
[7]   From wrinkles to creases in elastomers: the instability and imperfection-sensitivity of wrinkling [J].
Cao, Yanping ;
Hutchinson, John W. .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2012, 468 (2137) :94-115
[8]   Why should we care about buckling? [J].
Crosby, Alfred J. .
SOFT MATTER, 2010, 6 (22) :5660-5660
[9]   Unfolding the Sulcus [J].
Hohlfeld, Evan ;
Mahadevan, L. .
PHYSICAL REVIEW LETTERS, 2011, 106 (10)
[10]   Formation of creases on the surfaces of elastomers and gels [J].
Hong, Wei ;
Zhao, Xuanhe ;
Suo, Zhigang .
APPLIED PHYSICS LETTERS, 2009, 95 (11)