Abstract
This work suggests a computational model that takes account of effective fibers on toughening in FRC at an early stage of crack formation. We derived the distribution of pressure provoked by a random inclined fiber in the matrix and calculated stresses through integrating the pressure and tangent stress along the fiber/matrix interface with the Kelvin's fundamental solution and the Mindlin's complementary solution. The evolution of spalling in the matrix was traced. The percentages of effective fibers were evaluated with variations in strength, interface resistance, diameter and elasticity modulus. The main conclusion is that low elasticity modulus combined high strength of fibers raises dramatically the effective fibers, which would benefit toughening.
Highlights
INTRODUCTIONFiber reinforced composites have being used extensively in engineering structures and hi-tech fields
As excellent mechanical properties, fiber reinforced composites have being used extensively in engineering structures and hi-tech fields
We propose a computational model for effective fibers, in which mechanical properties of fibers, matrix and interface fiber/matrix as well as spalling effect are concerned
Summary
Fiber reinforced composites have being used extensively in engineering structures and hi-tech fields. The work conducted by Yang et al (2008) proposed a semi-empirical formula to estimate the spalling size in terms of the external force, the fiber inclination angle, the matrix tensile strength and a dimensionless constant associated to fiber geometry and matrix stiffness. To make it possible to compare and estimate final toughening achieved by the combination of different fibers and matrixes before the FRC is elaborated, we need to account the effective fibers. Mechanical parameters of steel or synthetic fibers and cement were employed and the effective fibers were evaluated with the variations of fiber strength, interface resistance, diameter and elasticity modulus
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