Elastic Fields in a Polygon-Shaped Inclusion With Uniform Eigenstrains
- 1 September 1997
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 64 (3), 495-502
- https://doi.org/10.1115/1.2788920
Abstract
In this paper the elastic fields in an arbitrary, convex polygon-shaped inclusion with uniform eigenstrains are investigated under the condition of plane strain. Closed-form solutions are obtained for the elastic fields in a polygon-shaped inclusion. The applications to the evaluation of the effective elastic properties of composite materials with polygon-shaped reinforcements are also investigated for both dilute and dense systems. Numerical examples are presented for the strain field, strain energy, and stiffness of the composites with polygon shaped fibers. The results are also compared with some existing solutions.Keywords
This publication has 14 references indexed in Scilit:
- Micromechanics predictions of the effective electroelastic moduli of piezoelectric compositesInternational Journal of Solids and Structures, 1993
- A new approach to the application of Mori-Tanaka's theory in composite materialsMechanics of Materials, 1987
- On the Internal Stresses in a Half Plane and a Layer Containing Localized Inelastic Strains or InclusionsJournal of Applied Mechanics, 1980
- On the Stress Field and Surface Deformation in a Half Space With a Cuboidal Zone in Which Initial Strains Are UniformJournal of Applied Mechanics, 1978
- Calculation of the elastic strain field of a cuboidal precipitate in an anisotropic matrixphysica status solidi (a), 1978
- On the Stress Field Due to Initial Strains in a Cuboid Surrounded by an Infinite Elastic SpaceJournal of Applied Mechanics, 1977
- Elastic strain energy and interactions of thin square plates which have undergone a simple shearScripta Metallurgica, 1977
- Average stress in matrix and average elastic energy of materials with misfitting inclusionsActa Metallurgica, 1973
- Déformations de cohérence d'un précipité quadratiquePhysica Status Solidi (b), 1969
- The determination of the elastic field of an ellipsoidal inclusion, and related problemsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1957