Summary
In this paper, we use complex variable techniques to analyze the surface instability of a harmonic solid attracted by a rigid body through the influence of van der Waals forces. Our results indicate that the surface of the solid is always unstable, and the parameter α, characterizing the solid, plays an important role in its surface instability.
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K. R. Shull C. M. Flanigan A. J. Crosby (2000) ArticleTitleFingering instabilities of confined elastic layers in tension Phys. Rev. Lett. 84 3057 Occurrence Handle10.1103/PhysRevLett.84.3057
A. Ghatak M. K. Chaudhury V. Shenoy A. Sharma (2000) ArticleTitleMeniscus instability in a thin elastic film Phys. Rev. Lett. 85 4329 Occurrence Handle10.1103/PhysRevLett.85.4329
W. Monch S. Herminghaus (2001) ArticleTitleElastic instability of rubber films between solid bodies Europhys. Lett. 53 525–531
V. Shenoy A. Sharma (2001) ArticleTitlePattern formation in a thin solid film with interactions Phys. Rev. Lett. 86 119–122 Occurrence Handle10.1103/PhysRevLett.86.119
C.-Q. Ru (2004) ArticleTitleSurface instability of semi-infinite elastic body under surface van der Waals forces J. Appl. Mech. 71 138–140 Occurrence Handle10.1115/1.1636791 Occurrence Handle1111.74616
F. John (1960) ArticleTitlePlane strain problems for a perfectly elastic material of harmonic shape Comm. Pure Appl. Math. XIII 239–290
C. Q. Ru (2002) ArticleTitleOn complex-variable formulation for finite plane elastostatics of harmonic materials Acta. Mech. 156 219–234 Occurrence Handle10.1007/BF01176757 Occurrence Handle1075.74017
E. Varley E. Cumberbatch (1980) ArticleTitleFinite deformation of elastic material surrounding cylindrical holes J. Elasticity 10 341–405 Occurrence Handle10.1007/BF00040844 Occurrence Handle0469.73021
J. K. Knowles E. Sternberg (1975) ArticleTitleOn the singularity induced by certain mixed boundary conditions in linearized and nonlinear elastostatics Int. J. Solids Struct. 11 1173–1201 Occurrence Handle388930 Occurrence Handle0348.73009
X. Li D. J. Steigmann (1993) ArticleTitleFinite plane twist of an annular membrane Q. J. Mech. Appl. Math. 46 601–625 Occurrence Handle1247155 Occurrence Handle0785.73041
R. Abeyaratne (1983) Some finite elasticity problems involving crack tips J. T. Pindera (Eds) Modelling problems in crack tip mechanics University of Waterloo Waterloo 3–24
A. E. England (1976) Complex-variable methods in elasticity Wiley-Intersecience London
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Wang, G.F., Schiavone, P. & Ru, CQ. Surface instability of a semi-infinite harmonic solid under van der Waals attraction. Acta Mechanica 180, 1–10 (2005). https://doi.org/10.1007/s00707-005-0271-x
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DOI: https://doi.org/10.1007/s00707-005-0271-x