期刊文献+

弹性材料层表面失稳的解析解 被引量:1

Analytic solutions for surface instability of elastic layers
下载PDF
导出
摘要 文章通过求解均质材料弹性层中增量位移表示的平衡微分方程,分别得出了均质弹性层和材料参数不同的双层结构弹性层表面失稳的解析解。结果表明:均质材料弹性层表面失稳的临界应变只与材料的泊松比有关;而与弹性模量无关;对于双层结构的弹性层,临界应变和临界波长与弹性层的表层与里层的厚度比和弹性模量比都相关,结果与相关文献结论吻合得很好。 By solving the differential equations of equilibrium expressed by incremental displacements for homogeneous elastic layer ,the analytical solutions for critical condition of surface instability of a homogeneous layer and a bilayer with different material properties are obtained respectively .The re-sults show that the critical strain of homogeneous elastic layers is related to Poisson ’s ratio and inde-pendent of the elastic modulus .For the elastic bilayer ,the critical strain and critical wavelength are related to both thickness ratio and elastic modulus ratio of surface and inner layers .The results ob-tained agree well with those in the related literature .
出处 《合肥工业大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第2期220-224,共5页 Journal of Hefei University of Technology:Natural Science
基金 合肥工业大学博士学位人员专项基金资助项目(4115103001)
关键词 表面失稳 临界条件 弹性材料层 解析解 surface instability critical condition elastic material layer analytic solution
  • 相关文献

参考文献16

  • 1Huang Z Y,Hong W,Suo Z. Nonlinear analyses of wrinkles in a film bonded to a compliant substrate[J].{H}Journal of the Mechanics and Physics of Solids,2005,(9):2101-2118.
  • 2Cao Y P,Hutchinson J W. Wrinkling phenomena in neo-Hookean film/substrate bilayers[J].Journal of Applied M echanics,2012,(3):031019.
  • 3Mei H,Huang R,Chung J Y. Buckling modes of elas-tic thin films on elastic substrates[J].Applied Physics Let-ters,2007,(15):151902.
  • 4Hutchinson J W,Thouless M D,Liniger E G. Growth and configurational stability of circular,buckling-driven film de-laminations[J].{H}ACTA METALLURGICA ET MATERIALIA,1992,(2):295-308.
  • 5Yin H,Huang R,Hobart K D. Buckling suppression of SiGe islands on compliant substrates[J].{H}Journal of Applied Physics,2003,(10):6875-6888.
  • 6Cerda E,Mahadevan L. Geometry and physics of wrinkling[J].{H}Physical Review Letters,2003,(7):074302.
  • 7Chung J Y,Nolte A J,Stafford C M. Surface w rinkling:a versatile platform for measuring thin-film properties[J].{H}Advanced Materials,2011,(3):349-368.
  • 8Harrison C,Stafford C M,Zhang W. Sinusoidal phase grating created by a tunably buckled surface[J].{H}Applied Physics Letters,2004,(18):4016-4018.
  • 9Bowden N,Brittain S,Evans A G. Spontaneous forma-tion of ordered structures in thin film of metals supported on an elastomeric polymer[J].Letters to Nature,1998.146-149.
  • 10Lacour S P,Wagner S,Huang Z. Stretchable gold conductors on elastomeric substrates[J].{H}Applied Physics Letters,2003,(15):2404-2406.

同被引文献2

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部