An aligned and continuous fiber reinforced composite consists of fiberswith an elastic modulus of 290 GPa and a matrix with an elastic modulus of3.5 GPa. If the fibers are required to carry 92% of the total load in the longitudinal direction (isostrain condition), determine the volume fraction of the fibers and matrix needed to accomplish this task. Also, determine the composite modulus of elasticity for this case.

An aligned and continuous fiber reinforced composite consists of fiberswith an elastic modulus of 290 GPa and a matrix with an elastic modulus of3.5 GPa. If the fibers are required to carry 92% of the total load in the longitudinal direction (isostrain condition), determine the volume fraction of the fibers and matrix needed to accomplish this task. Also, determine the composite modulus of elasticity for this case.

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter12: Composite Materials

Section: Chapter Questions

Problem 12.3P

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Glass

Glass is a brittle, supercooled, non-crystalline liquid. It is a clear amorphous solid, meaning, its atomic arrangements lack a definite pattern and long orderly arrangement. Glass can be thought of as a frozen liquid whose molecular flowability is retarded to much sower rate. Studies and science related to glass is an emerging field, with this, a new branch of materials science and engineering has developed known as, "glass engineering". Glass engineering focuses on the design and development of ceramics, glass, and composites. Engineers in this field test and work on new materials, that can be used in place of the traditional glass in terms of strength and durability. A glass engineer also engages himself in developing new equipment and manufacturing techniques, which can lead to the production of glass with enhanced properties.

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An aligned and continuous fiber reinforced composite consists of fibers
with an elastic modulus of 290 GPa and a matrix with an elastic modulus of
3.5 GPa. If the fibers are required to carry 92% of the total load in the longitudinal direction (isostrain condition), determine the volume fraction of the fibers and matrix needed to accomplish this task. Also, determine the composite modulus of elasticity for this case.

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Please explain about modulus of elasticity of the composite versus fiber volume fraction.