Abstract
In the case of particle reinforced composites, where the particles are in a form of sharp material inclusions, singular stress concentration exists on each tip of each inclusion. This is due to the geometric and material discontinuities between matrix and particle. These points of stress concentration are susceptible of crack initiation and thus often responsible for failure of the whole structure. The modified maximum tangential stress criterion is employed in order to predict crack onset conditions.
Highlights
C omposites find application in a variety of engineering structures
This paper deals with the case of particle embedded in matrix which is in a form of Sharp Material Inclusion (SMI)
The results show that crack initiation conditions depend on the ratio of materials Young's moduli, and on the fracture toughness of material components and the interface
Summary
C omposites find application in a variety of engineering structures. Overall excellent properties, which can only be achieved by combination of two or more homogenous materials, bring solution for high demands given by contemporary advanced technologies. I.e. fibre reinforced composites or particle reinforced composites give rise to points of singular stress concentration. These points are found in loci where fibre ends are embedded in matrix or at each tip of each sharp particle and are referred as General Singular Stress Concentrators (GSSCs). Energy or coupled criteria are commonly used in fracture mechanics analyses of many GSSC types such as sharp notches. These criteria can be employed in order to predict crack onset conditions to the case of SMI. Suggestion of modified maximum tangential stress stability criterion for the SMI with consideration of non-singular terms is the main objective of this paper
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