A composite has 20 vol% fibres with E = 150 GPa in a matrix Em = 30 GPa. The matrix fails first at a failure strain of 0.1, where the composite stress is a, = V,afm + (1-V;) Om. The fibres fail next at a failure strain of 0.2, where the composite stress is a, = V,afı. What would be the maximum stress experienced by the composite if the load is parallel to the fibre direction? Assume both the matrix and the fibres deform elastically and subsequently undergo brittle fracture.

A composite has 20 vol% fibres with E = 150 GPa in a matrix Em = 30 GPa. The matrix fails first at a failure strain of 0.1, where the composite stress is a, = V,afm + (1-V;) Om. The fibres fail next at a failure strain of 0.2, where the composite stress is a, = V,afı. What would be the maximum stress experienced by the composite if the load is parallel to the fibre direction? Assume both the matrix and the fibres deform elastically and subsequently undergo brittle fracture.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.10.2P: A copper alloy pipe with a yield stress aY= 290 MPa. is to carry an axial tensile load P = 1500 kN...

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