A new method for determining acoustoelastic constants and plane stresses in textured thin plates

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Abstract
The texture of the material is taken into account in the present analysis of polycrystalline structures, which means that at least the third-order terms must be considered in the elastic strain energy density function. An original method is discussed that determines the acoustoelastic constants directly so that the third-order elastic constants can be included without having to determine them explicitly. A special type of test specimen is used to simulate a perfectly plane stress state with a uniaxial tensile load. A texture is introduced by cold rolling the specimen and then annealing it to eliminate the residual stresses due to manufacturing. The plane stresses are then estimated from the propagation times of bulk ultrasonic waves polarized in three orthogonal directions. The small rotation induced by the texture is measured along with the stress of the shear wave polarization plane. A more in-depth characterization of the material is deemed necessary if the theory is to be applied in extenso to the plastic domain.

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