American Society of Civil Engineers

Anisotropic Elastic Constants: Measurement by Impact Resonance

by Paul Heyliger, A.M.ASCE, (Prof., Dept. of Civ. Engrg., Colorado State Univ., Fort Collins, CO 80523), Pontus Ugander, (Grad. Student, Dept. of Civ. Engrg., Colorado State Univ., Fort Collins, CO 80523), and Hassel Ledbetter, (Sr. Res. Sci., Mat. Sci. and Engrg. Lab., Natl. Inst. of Standards and Technol., Boulder, CO 80303.)

Journal of Materials in Civil Engineering, Vol. 13, No. 5, September/October 2001, pp. 356-363, (doi:

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Document type: Journal Paper
Abstract: Modes of unrestrained free vibration of rectangular parallelepipeds are excited by impact and combined with solutions to the weak form of the equations of motion corresponding to the 3D equations of elasticity and periodic motion to provide estimates for the elastic constants of anisotropic materials. This method has been previously applied to isotropic materials based on analytic approximations for the relationship between elastic constants and resonant frequencies. The present approach extends this procedure to account for material anisotropy and variance in specimen dimension, and we apply this technique to several specimens of differing material type, constitution, and shape to compute various components of the elastic stiffness tensor. Our results are in very good agreement with those found by other techniques.

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