Details
| Original language | English |
|---|---|
| Article number | 111959 |
| Journal | International Journal of Solids and Structures |
| Volume | 256 |
| Early online date | 6 Sept 2022 |
| Publication status | Published - 1 Dec 2022 |
Abstract
The goal of this paper is to evaluate the uncertainties in soft composites composed of a soft solid as the matrix filled by incompressible liquid inclusions. The surface stresses at the liquid–solid interfaces can significantly impact the elastic deformation of the bulk composite at the macroscale. Depending on the characteristic dimension, a stiffening or softening can happen. We model the elastic behavior employing a stochastic multiscale approach and counting on well established rules for composites. Insights on the mechanics of elasto-capillary coupling are provided considering the heterogeneity at different length scales. Global sensitivity analysis is performed to quantify the effect of variation in the material properties, surface tension, the size, and the random dispersion and agglomerations of the inclusions. The influence of the model choice at the mesoscale on the uncertainty of the response is also taken into account as an additional source of uncertainty. The results show that the relative stiffness is mainly influenced by the uncertainties in the size of liquid inclusions and the surface tension, while the remaining parameters show a significant interaction effects.
Keywords
- Computational uncertainty quantification, Liquid inclusion, Sensitivity analysis, Soft composites, Surface tension
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- General Materials Science
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Mathematics(all)
- Applied Mathematics
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In: International Journal of Solids and Structures, Vol. 256, 111959, 01.12.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Quantifying the uncertainties in modeling soft composites via a multiscale approach
AU - Hamdia, Khader M.
AU - Ghasemi, Hamid
N1 - Funding Information: Khader M. Hamdia thanks the support by Deutsche Forschungsgemeinschaft ( DFG, German Research Foundation )- Projektnummer 492535144 .
PY - 2022/12/1
Y1 - 2022/12/1
N2 - The goal of this paper is to evaluate the uncertainties in soft composites composed of a soft solid as the matrix filled by incompressible liquid inclusions. The surface stresses at the liquid–solid interfaces can significantly impact the elastic deformation of the bulk composite at the macroscale. Depending on the characteristic dimension, a stiffening or softening can happen. We model the elastic behavior employing a stochastic multiscale approach and counting on well established rules for composites. Insights on the mechanics of elasto-capillary coupling are provided considering the heterogeneity at different length scales. Global sensitivity analysis is performed to quantify the effect of variation in the material properties, surface tension, the size, and the random dispersion and agglomerations of the inclusions. The influence of the model choice at the mesoscale on the uncertainty of the response is also taken into account as an additional source of uncertainty. The results show that the relative stiffness is mainly influenced by the uncertainties in the size of liquid inclusions and the surface tension, while the remaining parameters show a significant interaction effects.
AB - The goal of this paper is to evaluate the uncertainties in soft composites composed of a soft solid as the matrix filled by incompressible liquid inclusions. The surface stresses at the liquid–solid interfaces can significantly impact the elastic deformation of the bulk composite at the macroscale. Depending on the characteristic dimension, a stiffening or softening can happen. We model the elastic behavior employing a stochastic multiscale approach and counting on well established rules for composites. Insights on the mechanics of elasto-capillary coupling are provided considering the heterogeneity at different length scales. Global sensitivity analysis is performed to quantify the effect of variation in the material properties, surface tension, the size, and the random dispersion and agglomerations of the inclusions. The influence of the model choice at the mesoscale on the uncertainty of the response is also taken into account as an additional source of uncertainty. The results show that the relative stiffness is mainly influenced by the uncertainties in the size of liquid inclusions and the surface tension, while the remaining parameters show a significant interaction effects.
KW - Computational uncertainty quantification
KW - Liquid inclusion
KW - Sensitivity analysis
KW - Soft composites
KW - Surface tension
UR - http://www.scopus.com/inward/record.url?scp=85138073768&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2022.111959
DO - 10.1016/j.ijsolstr.2022.111959
M3 - Article
AN - SCOPUS:85138073768
VL - 256
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
M1 - 111959
ER -