Constitutive Equation for Elastic Indentation of a Thin-Walled Bio-Mimetic Microcapsule by an Atomic Force Microscope Tip
Abstract
A new theoretical model is presented for the mechanical response of a thin-walled bio-mimetic microcapsule upon indentation using an atomic force microscope. the membrane is strained by both bending moments and membrane stress in the presence of a tensile pre-stress. When the intrinsic membrane stress is large compared to the local stress around the indentation dimple, the constitutive relation is linear; and when it is small, a cubic relation is deduced. the new theory is rigorously compared to the existing models of: (i) membrane under pure bending by Boulbitch; and (ii) membrane under pure stretching by Yao et al., which are shown to be two limiting cases of our general solution. Published experimental data in literature show that AFM measurement always involves deformation mode of mixed bending and stretching. © 2002 Elsevier Science B.V. All rights reserved.
Recommended Citation
K. T. Wan et al., "Constitutive Equation for Elastic Indentation of a Thin-Walled Bio-Mimetic Microcapsule by an Atomic Force Microscope Tip," Colloids and Surfaces B: Biointerfaces, vol. 27, no. 3/2, pp. 241 - 248, Elsevier, Feb 2003.
The definitive version is available at https://doi.org/10.1016/S0927-7765(02)00073-5
Department(s)
Engineering Management and Systems Engineering
Keywords and Phrases
AFM; Atomic force microscope; Bio-capsule; Indentation
International Standard Serial Number (ISSN)
0927-7765
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Elsevier, All rights reserved.
Publication Date
01 Feb 2003
Comments
Nanyang Technological University, Grant None