Dynamic stress analysis of the interface in a particle-reinforced composite. (English) Zbl 0964.74027

Summary: We give an analysis of dynamic stresses on a particle-matrix interface in particle-reinforced composites and show that this stress can lead to the microvoid nucleation due to interfacial debonding. A sphere containing a concentric rigid spherical particle is taken as a representative volume element. We use the Laplace transform to derive the basic equations, and obtain analytical solutions by means of Hankel transform. Moreover, we study the influence of inertia and viscosity on the debonding damage.


74H35 Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics
74E30 Composite and mixture properties
74R99 Fracture and damage
Full Text: DOI


[1] Huang Zhuping, Yang Liming, Pan Kelin. Dynamic damage and failure of materials [ J].Advances in Mechanics. 1993,23(4):433 467. (in Chinese) · Zbl 0788.73057
[2] Tanaka K, Mori T, Nakamura T. Cavity Formation at the interface of a spherical inclusions in a plastically deformed matrix [ J].Phil Mag, 1970,21(170:267 279.
[3] Argon A S. Cavity formation from inclusions in ductile fracture [ J].J Im Metall Trans, 1975,6A(5):825 837.
[4] Goods S H, Brown L M. The nucleation of cavities by plastic deformation [J].Acta Metall, 1979,27(1):l 15.
[5] Chen Jiankang, Huang Zhuping, Bai Shulin, et al. Local critical stress and size effect on the interfacial debonding of particulate-reinforced rheological materials [ J ].Acta Mechanica Solida Sinica, 1999,20(1):1 8. (in Chinese) · Zbl 1045.74505
[6] Albter S, Kobayyashi.Handbook on Experimental Mechanics[M]. New Jersey: Prentice-Hall, INC, 1984, 30 40.
[7] Christensen R M.Theory of Viscoelasticity [M]. New York: Academic Press, 1982,158 239.
[8] Cinelli G. An extension of the finite Hankel transform and applications [ J ].Int J Engng Sci, 1965,3(5):539 559. · Zbl 0151.17102
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.