The constituents of a composite are generally arranged so that one or more
discontinuous phases are embedded in a continuous phase. The discontinuous
phase is termed the reinforcement and the continuous phase is the matrix. In
general the reinforcements are much stronger and stiffer than the matrix. The
physical and mechanical properties of composites are dependent on the
properties, geometry and concentration of these constituents. Increasing the
volume content of reinforcements can increase the strength and stiffness of a
composite to a point. If the volume content of reinforcements is too high there
will not be enough matrix to keep them separate and they can be entangled.
Similarly, the geometry of individual reinforcements and its arrangement within
the matrix can affect the performance of a composite. There are many factors to
be considered when working with composite materials. The type of reinforcement
and matrix, the geometrical arrangement and volume fraction of each
constituent, the anticipated mechanical loads, the operating environment for
the composite, etc., must all be taken into
account.
Analysis of composites subjected to various mechanical and thermal conditions
is the main thrust of this work. The constitutive relationship between stress
and strain is established for homogeneous isotropic materials as Hooke's law. A
composite material is analyzed in a similar manner by establishing a
constitutive relationship between stress and strain. Isotropic, homogeneous
materials (steel, aluminum, etc.) are assumed to be uniform throughout and have
the same elastic properties in all the directions. Assuming a unit width and
thickness for the specimen, the transverse in-plane and out-of-plane
displacements are the same for these materials. Unlike these conventional
engineering materials, a composite material is generally non-homogeneous and does
not behave as an isotropic material. Most composites behave as anisotropic.
There is typically a coupling of extension and shear deformation under
conditions of uniaxial tension. There are varying degrees of anisotropic
material behavior and the actual deformation resulting from applied loads depends
on the nature of material.
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