Journal
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
Volume 142, Issue -, Pages 94-105Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2019.06.001
Keywords
Elasticity; Ellipsoid; Interaction; Imperfect interface; Ellipsoidal harmonics; Modified Maxwell scheme
Categories
Funding
- Science and Technology Center in Ukraine (STCU) [6247]
Ask authors/readers for more resources
The complete displacement solution has been obtained for an elastic solid containing a finite cluster of imperfectly bonded ellipsoidal inhomogeneities. By combining Papkovich-Neuber representation of a general solution in terms of scalar harmonic potentials, expansion of these potentials in terms of solid ellipsoidal harmonics, superposition principle and accurate fulfilling the interface conditions, the boundary value problem is reduced to an infinite system of linear algebraic equations for the series expansion coefficients. The modified Maxwell scheme has been extended to the elastic ellipsoidal particle composite with imperfect interface. The scheme takes into account the volume content and elastic moduli of constituents, shape, size and orientation of inhomogeneities, interaction between them and elastic stiffness of interface. Numerical algorithm of the method is simple and robust and provides an accurate analysis of the problem for a whole range of the structure parameters. The reported numerical data illustrate convergence rate of the solution and the effect of interactions and interface stiffness on the stress field and macroscopic elastic moduli of ellipsoidal particle composite. (C) 2019 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available