Modeling of surface mechanical behaviors of soft elastic solids: theory and examples

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

doi:10.1039/d0sm00556h

Modeling of surface mechanical behaviors of soft elastic solids: theory and examples

Journal Article · Fri Jul 03 00:00:00 EDT 2020 · Soft Matter

DOI:https://doi.org/10.1039/d0sm00556h· OSTI ID:1800521

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Cornell Univ., Ithaca, NY (United States); OSTI
Lehigh Univ., Bethlehem, PA (United States)
Cornell Univ., Ithaca, NY (United States)

Surfaces of soft solids can have significant surface stress, extensional modulus and bending stiffness. Previous theoretical studies have usually examined cases in which both the surface stress and bending stiffness are constant, assuming small deformation. In this work we consider a general formulation in which the surface can support large deformation and carry both surface stresses and surface bending moments. We show that the large deformation theory can be reduced to the classical linear theory (Shuttleworth equation). We obtain exact solutions for problems of an inflated cylindrical shell and bending of a plate with a finite thickness. Our analysis illustrates the different manners in which surface stiffening and surface bending stabilize these structures. We discuss how the complex surface constitutive behaviors affect the stress field of the bulk. Our calculation provides insights into effects of strain-dependent surface stress and surface bending in the large deformation regime, and can be used as a model to implement surface finite elements to study large deformation of complex structures.

View Accepted Manuscript (DOE)

Research Organization:: Lehigh University, Bethlehem, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-07ER46463

OSTI ID:: 1800521

Alternate ID(s):: OSTI ID: 1637982

Journal Information:: Soft Matter, Journal Name: Soft Matter Journal Issue: 29 Vol. 16; ISSN 1744-683X

Publisher:: Royal Society of ChemistryCopyright Statement

Country of Publication:: United States

Language:: English

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Modeling of surface mechanical behaviors of soft elastic solids: theory and examples

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