We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Size effects in two-dimensional layered materials modeled by couple stress elasticity.
- Authors
Wongviboonsin, Wipavee; Gourgiotis, Panos A.; Van, Chung Nguyen; Limkatanyu, Suchart; Rungamornrat, Jaroon
- Abstract
In the present study, the effect of material microstructure on the mechanical response of a two-dimensional elastic layer perfectly bonded to a substrate is examined under surface loadings. In the current model, the substrate is treated as an elastic half plane as opposed to a rigid base, and this enables its applications in practical cases when the modulus of the layer (e.g., the coating material) and substrate (e.g., the coated surface) are comparable. The material microstructure is modeled using the generalized continuum theory of couple stress elasticity. The boundary value problems are formulated in terms of the displacement field and solved in an analytical manner via the Fourier transform and stiffness matrix method. The results demonstrate the capability of the present continuum theory to efficiently model the size-dependency of the response of the material when the external and internal length scales are comparable. Furthermore, the results indicated that the material mismatch and substrate stiffness play a crucial role in the predicted elastic field. Specifically, the study also addresses significant discrepancy of the response for the case of a layer resting on a rigid substrate.
- Subjects
STRAINS &; stresses (Mechanics); ELASTICITY; BOUNDARY value problems; FOURIER transforms
- Publication
Frontiers of Structural & Civil Engineering, 2021, Vol 15, Issue 2, p425
- ISSN
2095-2430
- Publication type
Article
- DOI
10.1007/s11709-021-0707-y