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Anisotropic Elasticity

It has long been recognized that deformation behavior of many materials depends upon orientation; that is, the stress-strain response of a sample taken from the material in one direction will be different if the sample were taken in a different direction. The term anisotropic is generally used to describe such behaviors. Early investigators of these phenomena were motivated by the response of naturally occurring anisotropic materials such as wood and crystalline solids. Today, extensive use of engineered composites (see Jones 1998 or Swanson 1997) has brought forward many new types of fiber-and particle-reinforced materials with anisotropic response. Thus, knowledge of stress distributions in anisotropic materials is ...

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