Tags

Type your tag names separated by a space and hit enter

A closed form large deformation solution of plate bending with surface effects.
Soft Matter. 2017 Jan 04; 13(2):386-393.SM

Abstract

We study the effect of surface stress on the pure bending of a finite thickness plate under large deformation. The surface is assumed to be isotropic and its stress consists of a part that can be interpreted as a residual stress and a part that stiffens as the surface increases its area. Our results show that residual surface stress and surface stiffness can both increase the overall bending stiffness but through different mechanisms. For sufficiently large residual surface tension, we discover a new type of instability - the bending moment reaches a maximum at a critical curvature. Effects of surface stress on different stress components in the bulk of the plate are discussed and the possibility of self-bending due to asymmetry of the surface properties is also explored. The results of our calculations provide insights into surface stress effects in the large deformation regime and can be used as a test for implementation of finite element methods for surface elasticity.

Authors+Show Affiliations

Field of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY 14850, USA. ch45@cornell.edu.Department of Chemical and Biomolecular Engineering and Bioengineering Program, Lehigh University, Bethlehem, PA 18015, USA.Field of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY 14850, USA. ch45@cornell.edu.

Pub Type(s)

Journal Article

Language

eng

PubMed ID

27942678

Citation

Liu, Tianshu, et al. "A Closed Form Large Deformation Solution of Plate Bending With Surface Effects." Soft Matter, vol. 13, no. 2, 2017, pp. 386-393.
Liu T, Jagota A, Hui CY. A closed form large deformation solution of plate bending with surface effects. Soft Matter. 2017;13(2):386-393.
Liu, T., Jagota, A., & Hui, C. Y. (2017). A closed form large deformation solution of plate bending with surface effects. Soft Matter, 13(2), 386-393. https://doi.org/10.1039/c6sm02398c
Liu T, Jagota A, Hui CY. A Closed Form Large Deformation Solution of Plate Bending With Surface Effects. Soft Matter. 2017 Jan 4;13(2):386-393. PubMed PMID: 27942678.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - A closed form large deformation solution of plate bending with surface effects. AU - Liu,Tianshu, AU - Jagota,Anand, AU - Hui,Chung-Yuen, PY - 2016/12/13/pubmed PY - 2016/12/13/medline PY - 2016/12/13/entrez SP - 386 EP - 393 JF - Soft matter JO - Soft Matter VL - 13 IS - 2 N2 - We study the effect of surface stress on the pure bending of a finite thickness plate under large deformation. The surface is assumed to be isotropic and its stress consists of a part that can be interpreted as a residual stress and a part that stiffens as the surface increases its area. Our results show that residual surface stress and surface stiffness can both increase the overall bending stiffness but through different mechanisms. For sufficiently large residual surface tension, we discover a new type of instability - the bending moment reaches a maximum at a critical curvature. Effects of surface stress on different stress components in the bulk of the plate are discussed and the possibility of self-bending due to asymmetry of the surface properties is also explored. The results of our calculations provide insights into surface stress effects in the large deformation regime and can be used as a test for implementation of finite element methods for surface elasticity. SN - 1744-6848 UR - https://www.unboundmedicine.com/medline/citation/27942678/A_closed_form_large_deformation_solution_of_plate_bending_with_surface_effects_ L2 - https://doi.org/10.1039/c6sm02398c DB - PRIME DP - Unbound Medicine ER -
Try the Free App:
Prime PubMed app for iOS iPhone iPad
Prime PubMed app for Android
Prime PubMed is provided
free to individuals by:
Unbound Medicine.