A methodology for modeling surface effects on stiff and soft solids

He, Jin; Park, Harold S.

doi:10.1007/s00466-017-1474-4

Cited by 13 publications

(7 citation statements)

References 60 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Surface Young's modulus E s and surface Poisson's ratio ν s converted from the first surface Lamé parameter λ s and the second surface Lamé parameter µ s are [21,22]:…”

Section: Surface Young's Modulus and The Second Elastic Capillary Numbermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…In this work, He's finite element (FE) method [21,22] is employed and data from Style [2,3] are used as a prototype. The FE method proposed by He [21,22] utilizes software COMSOL [23] or other FE programs to simulate the solids with the effects of surface tension and surface elasticity. In this method, surface tension and surface elasticity are converted to initial in-plane stress and elastic properties of the equivalent shell [21,22].…”

Section: Introductionmentioning

confidence: 99%

“…The FE method proposed by He [21,22] utilizes software COMSOL [23] or other FE programs to simulate the solids with the effects of surface tension and surface elasticity. In this method, surface tension and surface elasticity are converted to initial in-plane stress and elastic properties of the equivalent shell [21,22]. Surface Young's modulus, which is a form of surface elasticity, is investigated in the FE analysis on the contribution from surface elasticity.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Effects of surface elasticity and surface viscoelasticity on liquid inclusions in solid materials

Mao,

Zhao,

2024

Modelling Simul. Mater. Sci. Eng.

Self Cite

View full text Add to dashboard Cite

The effects of surface elasticity and surface viscoelasticity as well as surface tension on the deformation of solids with liquid inclusions are investigated using a finite element method. Both surface tension and surface elasticity stiffen the solids with liquid inclusions. The surface tension in elastic capillary number is replaced with surface Young’s modulus to define the second elastic capillary number. The aspect ratio of the included liquids is used to indicate the stiffening effect for both numbers. A smaller aspect ratio corresponds to a larger stiffening effect. In a typical finite element analysis, when either number is 1 and the applied strain is 4%, the aspect ratio decreases by 7.4% due to surface tension and 2.6% due to surface elasticity. Compared to surface tension, surface elasticity has a similar but smaller influence on the deformation of solids with liquid inclusions. Extensive finite element calculations are performed to establish the fitting formula for the aspect ratio as a function of elastic capillary number, the second elastic capillary number, and the applied strain. Surface viscoelasticity is modelled in the finite element method by converting surface viscoelastic properties into the viscoelastic properties of the equivalent shell. The time-dependent aspect ratio due to surface viscoelasticity is presented and finite element results show the same trend as those calculated from the approximated theory. The internal pressure of the included liquid is obtained from finite element analysis and is compared with the theoretical estimation employing the Young-Laplace equation.

show abstract

“…Surface Young's modulus E s and surface Poisson's ratio ν s converted from the first surface Lamé parameter λ s and the second surface Lamé parameter µ s are [21,22]:…”

Section: Surface Young's Modulus and The Second Elastic Capillary Numbermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effects of surface elasticity and surface viscoelasticity on liquid inclusions in solid materials

Mao,

Zhao,

2024

Modelling Simul. Mater. Sci. Eng.

Self Cite

View full text Add to dashboard Cite

show abstract

“…A similar approach was adopted by Mora, et al [37] and an ad-hoc numerical code using the FEniCS finite element library has been provided. He and Park [38] presented a computational methodology to capture elastocapillary, essentially equivalent to the classical Young-Laplace model, that could be readily incorporated to commercial FE packages such as ANSYS and COMSOL, see also [39].…”

Section: Introductionmentioning

confidence: 99%