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Reinforcement Including or Fiber ReinforcedComposite of Particle Theory Incremantal

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Incremantal Damage Theory of Particle or Short Fiber Reinforced Composite Including Reinforcement Damage

1998

Young-Tae Cho

Composite which contain particles or short-fibers in

a

ductile matrix have already

used

or have the potential

as

engineering material because of their good formability and machinability

as

well

as

improved mechanical properties. In the composites,

a

variety of damage modes such

as

fracture of reinforcements, interfacial debonding between reinforcements and matrix, and cracking in matrix develop from the early stage of deformation and they strongly affect the overall performance of the composites.

In this reserch,

an

incremental theory is developed to describe the elastic-plastic behavior and damage behavior of particle or short-fiber reinforced composites,

based

on Eshelby's equivalent inclusion method

and

Mori-Tanaka's

mean

field concept.

The details of the Eshelby's andMori-Tanaka's theories are given in the second chapter. In the third chapter, load carrying capacity of the intact and broken ellipsoidal inhomogeneities in

an

infinite body is discussed. The load carrying capacity of the broken inhomogeneity can be evaluated by the average

stress

of the intact inhomogeneity and the coefficient k. Axisymmetric and three dimensional finite element analyses are carried out on intact and broken ellipsoidal inhomogeneities in an infinite body under uniaxial tension and under pure shear in the fourth chapter. The stress distribution in and around the broken inhomogeneity

and

the load carrying capacity

are

discussed,

and

the coefficient k is determined.

In the fifth chapter, an incremental constitutive relation of particle or short-fiber reinforced composites including the progressive cracking damage of the reinforcements is devetoped based on the concept of the load carrying capacity of broken imhomogeneity, Eshelby's equivalent inclusion method

and

Mori-Tanaka's

mean

field concept. In the sixth chapter,

the

numerical

analyses based on the present

theory

are

carried out

on

the

stress-strain response

of

the

composites with progressive reinforcernent

damage.

The results

suggest

the importance of accounting for the cracking or debonding

damage

in the mechanics of particle or short-fiber reinforced composites. The present theory is very useful for the analysis of composite with cracking or debonding

damage.

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参照

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