Wrinkling of a stiff thin film bonded to a pre-strained, compliant substrate with finite thickness.
A stiff thin film bonded to a pre-strained, compliant substrate wrinkles into a sinusoidal form upon release of the pre-strain. Many analytical models developed for the critical pre-strain for wrinkling assume that the substrate is semi-infinite. This critical pre-strain is actually much smaller than that for a substrate with finite thickness (Ma Yet al.2016Adv. Funct. Mater.(doi:10.1002/adfm.201600713)). An analytical solution of the critical pre-strain for a system of a stiff film bonded to a pre-strained, finite-thickness, compliant substrate is obtained, and it agrees well with the finite-element analysis. The finite-thickness effect is significant when the substrate tensile stiffness cannot overwhelm the film tensile stiffness.
Department of Civil and Environmental Engineering, Northwestern University, Evanston, IL 60208, USA; Mechanical Engineering, Northwestern University, Evanston, IL 60208, USA; Materials Science and Engineering, Northwestern University, Evanston, IL 60208, USA; Department of Engineering Mechanics, Tsinghua University, Beijing 100084, People's Republic of China; Center for Mechanics and Materials, Tsinghua University, Beijing 100084, People's Republic of China.
Yinji
Y
Ma
Department of Civil and Environmental Engineering, Northwestern University, Evanston, IL 60208, USA; Mechanical Engineering, Northwestern University, Evanston, IL 60208, USA; Materials Science and Engineering, Northwestern University, Evanston, IL 60208, USA.
Yeguang
Y
Xue
Department of Materials Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA; Frederick Seitz Materials Research Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA.
Kyung-In
KI
Jang
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, People's Republic of China; Center for Mechanics and Materials, Tsinghua University, Beijing 100084, People's Republic of China.
Xue
X
Feng
Department of Materials Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA; Chemistry, Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA; Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA; Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA; Frederick Seitz Materials Research Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA.
John A
JA
Rogers
Department of Civil and Environmental Engineering, Northwestern University, Evanston, IL 60208, USA; Mechanical Engineering, Northwestern University, Evanston, IL 60208, USA; Materials Science and Engineering, Northwestern University, Evanston, IL 60208, USA.
Yonggang
0000-0002-0483-8359
Y
Huang
compliant substrate; finite thickness; pre-strain; stiff thin film; wrinkles