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Abstract

In this study, the steady-state stresses resulting from a dynamic loading in a composite reinforced by a single spheroidal particle are determined and the stress concentration factors within the matrix obtained. A hybrid technique that combines the finite element method with an eigenfunction expansion technique is used to determine the stresses. The stress concentrations within the matrix of the composite are found to be dependent on the frequency of excitation, the mismatch of elastic properties and density between the particle and the matrix, the aspect-ratio of the particle and Poisson’s ratio of the particle and matrix. In particular, the study reveals that the matrix would experience dynamic stresses up to 100% greater than the static values when the particle density is greater than that of the matrix. The results also indicate that composites with brittle matrices will experience crack initiation at the pole of the particle where the principal stresses are the largest. For ductile matrices, on the other hand, the region of maximum von Mises equivalent stress within the matrix varied along the particle–matrix interface, but also occurred at interior points away from the interface under certain conditions.

Keywords

particle-reinforced composites stress concentrations vibration stress analysis

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The Dynamic Stress Field in the Matrix Surrounding a Spheroidal Particle

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