Buckling and post-buckling of a stiff film resting on an elastic graded substrate
Systems consisting of a hard layer resting on an elastic graded soft substrate are frequently encountered both in nature and industry.In this paper,we study the surface wrinkling problem of such a composite system subjected to in-plane compression.The Young”s modulus of the elastic substrate is assumed to vary along its depth direction.In particular,we investigate two typical variations in the modulus,described by a power function and an exponential function,respectively.For the former case,the analytical solutions for the critical compressive strain at the onset of wrinkling and the critical wrinkling wavelength are derived.For the latter,an explicit solution for the critical compressive force is obtained,by which one can easily determine the critical compressive strain and the wrinkling wavelength.The results may not only find applications in thin-film metrology and surface patterning but also provide insight into the wrinkling phenomena of various living tissues.
Surface wrinkling thin film elastic graded substrate dimensional analysis
Yan-Ping Cao Fei Jia Yan Zhao Xi-Qiao Feng Shou-Wen Yu
AML, Department of Engineering Mechanics, Tsinghua University, Beijing 100084
国内会议
北京
英文
158-159
2013-01-01（万方平台首次上网日期，不代表论文的发表时间）