A closed form large deformation solution of plate bending with surface effects

Liu, Tianshu; Jagota, Anand; Hui, Chung-Yuen

doi:10.1039/c6sm02398c

A closed form large deformation solution of plate bending with surface effects

Journal Article · Sun Jan 01 04:00:00 EST 2017 · Soft Matter

DOI:https://doi.org/10.1039/c6sm02398c· OSTI ID:1535162

Liu, Tianshu ^[1]; Jagota, Anand; Hui, Chung-Yuen

DOE/OSTI

Not provided.

Research Organization:: Lehigh Univ., Bethlehem, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: FG02-07ER46463

OSTI ID:: 1535162

Journal Information:: Soft Matter, Journal Name: Soft Matter Journal Issue: 2 Vol. 13; ISSN SMOABF; ISSN 1744-683X

Publisher:: Royal Society of Chemistry

Country of Publication:: United States

Language:: English

References (42)

Surface effects on elastic properties of silver nanowires: Contact atomic-force microscopy Jing, G. Y.; Duan, H. L.; Sun, X. M. Physical Review B, Vol. 73, Issue 23 https://doi.org/10.1103/PhysRevB.73.235409	journal	June 2006
Indentation of a rigid sphere into an elastic substrate with surface tension and adhesion Hui, Chung-Yuen; Liu, Tianshu; Salez, Thomas Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 471, Issue 2175 https://doi.org/10.1098/rspa.2014.0727	journal	March 2015
How does surface tension affect energy release rate of cracks loaded in Mode I? Hui, Chung-Yuen; Liu, Tianshu; Schwaab, Marie-Emeline Extreme Mechanics Letters, Vol. 6 https://doi.org/10.1016/j.eml.2015.11.002	journal	March 2016
Adhesion and Wetting of Nanoparticles on Soft Surfaces Cao, Zhen; Stevens, Mark J.; Dobrynin, Andrey V. Macromolecules, Vol. 47, Issue 9 https://doi.org/10.1021/ma500317q	journal	April 2014
A multiscale, finite deformation formulation for surface stress effects on the coupled thermomechanical behavior of nanomaterials Yun, Geng; Park, Harold S. Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issue 41-42 https://doi.org/10.1016/j.cma.2008.02.001	journal	July 2008
A finite element framework for continua with boundary energies. Part II: The three-dimensional case Javili, A.; Steinmann, P. Computer Methods in Applied Mechanics and Engineering, Vol. 199, Issue 9-12 https://doi.org/10.1016/j.cma.2009.11.003	journal	January 2010
Effects of surface tension on axisymmetric Hertzian contact problem Long, J. M.; Wang, G. F. Mechanics of Materials, Vol. 56 https://doi.org/10.1016/j.mechmat.2012.09.003	journal	January 2013
A mechanical metamaterial made from a DNA hydrogel Lee, Jong Bum; Peng, Songming; Yang, Dayong Nature Nanotechnology, Vol. 7, Issue 12 https://doi.org/10.1038/nnano.2012.211	journal	December 2012
Capillarity Driven Instability of a Soft Solid Mora, Serge; Phou, Ty; Fromental, Jean-Marc Physical Review Letters, Vol. 105, Issue 21 https://doi.org/10.1103/PhysRevLett.105.214301	journal	November 2010
On finite element modelling of surface tension Variational formulation and applications – Part I: Quasistatic problems Saksono, P. H.; Perić, D. Computational Mechanics, Vol. 38, Issue 3 https://doi.org/10.1007/s00466-005-0747-5	journal	November 2005
Elastocapillary deformations on partially-wetting substrates: rival contact-line models Bostwick, Joshua B.; Shearer, Michael; Daniels, Karen E. Soft Matter, Vol. 10, Issue 37 https://doi.org/10.1039/C4SM00891J	journal	January 2014
A continuum theory of elastic material surfaces Gurtin, Morton E.; Ian Murdoch, A. Archive for Rational Mechanics and Analysis, Vol. 57, Issue 4 https://doi.org/10.1007/BF00261375	journal	December 1975
Surface tension effect on the mechanical properties of nanomaterials measured by atomic force microscopy Cuenot, Stéphane; Frétigny, Christian; Demoustier-Champagne, Sophie Physical Review B, Vol. 69, Issue 16 https://doi.org/10.1103/PhysRevB.69.165410	journal	April 2004
Timoshenko beam model for buckling and vibration of nanowires with surface effects Wang, Gang-Feng; Feng, Xi-Qiao Journal of Physics D: Applied Physics, Vol. 42, Issue 15 https://doi.org/10.1088/0022-3727/42/15/155411	journal	July 2009
A curvature-dependent interfacial energy-based interface stress theory and its applications to nano-structured materials: (I) General theory Gao, Xiang; Huang, Zhuping; Qu, Jianmin Journal of the Mechanics and Physics of Solids, Vol. 66 https://doi.org/10.1016/j.jmps.2014.01.010	journal	May 2014
The effects of surface tension on the elastic properties of nano structures Wang, Zhi-Qiao; Zhao, Ya-Pu; Huang, Zhu-Ping International Journal of Engineering Science, Vol. 48, Issue 2 https://doi.org/10.1016/j.ijengsci.2009.07.007	journal	February 2010
Elastocapillarity: Adhesion and Wetting in Soft Polymeric Systems Cao, Zhen; Stevens, Mark J.; Dobrynin, Andrey V. Macromolecules, Vol. 47, Issue 18 https://doi.org/10.1021/ma5013978	journal	September 2014
Constraints on Microcontact Printing Imposed by Stamp Deformation Hui, C. Y.; Jagota, A.; Lin, Y. Y. Langmuir, Vol. 18, Issue 4 https://doi.org/10.1021/la0113567	journal	February 2002
Surface stress effect on bending resonance of nanowires with different boundary conditions He, Jin; Lilley, Carmen M. Applied Physics Letters, Vol. 93, Issue 26 https://doi.org/10.1063/1.3050108	journal	December 2008
On the mechanics of continua with boundary energies and growing surfaces Papastavrou, Areti; Steinmann, Paul; Kuhl, Ellen Journal of the Mechanics and Physics of Solids, Vol. 61, Issue 6 https://doi.org/10.1016/j.jmps.2013.01.007	journal	June 2013
Deformation near a liquid contact line on an elastic substrate Hui, Chung-Yuen; Jagota, Anand Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 470, Issue 2167 https://doi.org/10.1098/rspa.2014.0085	journal	July 2014
The Surface Tension of Solids Shuttleworth, R. Proceedings of the Physical Society. Section A, Vol. 63, Issue 5 https://doi.org/10.1088/0370-1298/63/5/302	journal	May 1950
Size effect and surface tension measurements in Ni and Co nanowires Pirota, Kleber R.; Silva, Elvis L.; Zanchet, Daniela Physical Review B, Vol. 76, Issue 23 https://doi.org/10.1103/PhysRevB.76.233410	journal	December 2007
Flattening of a patterned compliant solid by surface stress Paretkar, Dadhichi; Xu, Xuejuan; Hui, Chung-Yuen Soft Matter, Vol. 10, Issue 23 https://doi.org/10.1039/C3SM52891J	journal	January 2014
Size Dependence of Young’s Modulus in ZnO Nanowires Chen, C. Q.; Shi, Y.; Zhang, Y. S. Physical Review Letters, Vol. 96, Issue 7 https://doi.org/10.1103/PhysRevLett.96.075505	journal	February 2006
Surface Effect on the Elastic Behavior of Static Bending Nanowires He, Jin; Lilley, Carmen M. Nano Letters, Vol. 8, Issue 7 https://doi.org/10.1021/nl0733233	journal	July 2008
Bending behavior and buckling of nanobeams including surface stress effects corresponding to different beam theories Ansari, R.; Sahmani, S. International Journal of Engineering Science, Vol. 49, Issue 11 https://doi.org/10.1016/j.ijengsci.2011.01.007	journal	November 2011
Surface-tension-induced flattening of a nearly plane elastic solid Jagota, Anand; Paretkar, Dadhichi; Ghatak, Animangsu Physical Review E, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevE.85.051602	journal	May 2012
Solid capillarity: when and how does surface tension deform soft solids? Andreotti, Bruno; Bäumchen, Oliver; Boulogne, François Soft Matter, Vol. 12, Issue 12 https://doi.org/10.1039/C5SM03140K	journal	January 2016
Surface stress effect in mechanics of nanostructured materials Wang, Jianxiang; Huang, Zhuping; Duan, Huiling Acta Mechanica Solida Sinica, Vol. 24, Issue 1 https://doi.org/10.1016/S0894-9166(11)60009-8	journal	February 2011
Analysis of Plane-Strain Crack Problems (Mode-I & Mode-II) in the Presence of Surface Elasticity Kim, C. I.; Schiavone, P.; Ru, C. -Q. Journal of Elasticity, Vol. 104, Issue 1-2 https://doi.org/10.1007/s10659-010-9287-0	journal	November 2010
Nanoindentation of soft solids by a flat punch Wang, G. F.; Niu, X. R. Acta Mechanica Sinica, Vol. 31, Issue 4 https://doi.org/10.1007/s10409-015-0440-7	journal	August 2015
Adhesive contact of a rigid circular cylinder to a soft elastic substrate – the role of surface tension Liu, Tianshu; Jagota, Anand; Hui, Chung-Yuen Soft Matter, Vol. 11, Issue 19 https://doi.org/10.1039/C5SM00008D	journal	January 2015
A finite element framework for continua with boundary energies. Part I: The two-dimensional case Javili, A.; Steinmann, P. Computer Methods in Applied Mechanics and Engineering, Vol. 198, Issue 27-29 https://doi.org/10.1016/j.cma.2009.02.008	journal	May 2009
Surface effects on buckling of nanowires under uniaxial compression Wang, Gang-Feng; Feng, Xi-Qiao Applied Physics Letters, Vol. 94, Issue 14 https://doi.org/10.1063/1.3117505	journal	April 2009
Surface stress effects on the bending properties of fcc metal nanowires Yun, Geng; Park, Harold S. Physical Review B, Vol. 79, Issue 19 https://doi.org/10.1103/PhysRevB.79.195421	journal	May 2009
Solid Drops: Large Capillary Deformations of Immersed Elastic Rods Mora, Serge; Maurini, Corrado; Phou, Ty Physical Review Letters, Vol. 111, Issue 11 https://doi.org/10.1103/PhysRevLett.111.114301	journal	September 2013
On finite element modelling of surface tension: Variational formulation and applications – Part II: Dynamic problems Saksono, P. H.; Perić, D. Computational Mechanics, Vol. 38, Issue 3 https://doi.org/10.1007/s00466-005-0745-7	journal	November 2005
Surface tension and contact with soft elastic solids Style, Robert W.; Hyland, Callen; Boltyanskiy, Rostislav Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms3728	journal	November 2013
A theory of hyperelasticity of multi-phase media with surface/interface energy effect Huang, Z. P.; Wang, J. Acta Mechanica, Vol. 182, Issue 3-4 https://doi.org/10.1007/s00707-005-0286-3	journal	February 2006
Deformation of an Elastic Substrate by a Three-Phase Contact Line Jerison, Elizabeth R.; Xu, Ye; Wilen, Larry A. Physical Review Letters, Vol. 106, Issue 18 https://doi.org/10.1103/PhysRevLett.106.186103	journal	May 2011
Size-dependent effective Young’s modulus of silicon nitride cantilevers Babaei Gavan, Khashayar; Westra, Hidde J. R.; van der Drift, Emile W. J. M. Applied Physics Letters, Vol. 94, Issue 23 https://doi.org/10.1063/1.3152772	journal	June 2009

Similar Records

The effect of surface bending and surface stress on the transmission of a vertical line force in soft materials

Journal Article · Sat Sep 01 00:00:00 EDT 2018 · Extreme Mechanics Letters · OSTI ID:1538247

Effect of surface bending and stress on the transmission of line force to an elastic substrate

Journal Article · Sun Jul 01 00:00:00 EDT 2018 · Proceedings of the Royal Society. A. Mathematical, Physical and Engineering Sciences · OSTI ID:1540651

Effect of large deformation and surface stiffening on the transmission of a line load on a neo-Hookean half space

Journal Article · Sun Dec 31 23:00:00 EST 2017 · Soft Matter · OSTI ID:1539964

Related Subjects

Chemistry
Materials Science
Physics
Polymer Science

A closed form large deformation solution of plate bending with surface effects

Citation Formats

References (42)

Similar Records

Related Subjects