Constitutive Theory for Strongly Anisotropic Solids
We shall discuss a number of problems concerned with stress and deformation analysis of fibre-reinforced composite, and other strongly anisotropic, materials. The kind of composite material in mind is one in which a matrix material is reinforced by strong stiff fibres which are systematically arranged in the matrix. The fibres are considered to be long compared to their diameters and the fibre spacings, and to be quite densely distributed, so that the fibres form a substantial proportion (typically about 50% by volume) of the composite. There are many such composite materials now in use or under development; examples are carbon fibre reinforced epoxy resins, boron fibre reinforced aluminium, and nylon or steel reinforced rubber which is used in tyres, hosepipes and belts.
KeywordsConstitutive Equation Yield Function Reaction Stress Fibre Direction Flow Rule
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