Determination of Third-Order Elastic Coefficients in Crystals

by: K Brugger

Journal of Applied Physics, Vol. 36, No. 3. (1965), pp. 768-773.

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Abstract

Third-order elastic coefficients can be derived from sound speed measurements in statically stressed crystals. The necessary relations between experimental data and elastic coefficients are here presented for orthorhombic, tetragonal, cubic, rhombohedral, and hexagonal crystal classes. For each symmetry a sufficient number of wave modes and stress systems is selected to determine all third-order coefficients and to allow experimental cross checks. All the modes considered are pure longitudinal or transverse. They are selected so as to minimize the number of specimen orientations required, and following experimental procedures for uniaxial static stress, only wave modes propagating at right angles to the stress direction are considered. ©1965 The American Institute of Physics

@article{citeulike:1586150, abstract = {Third-order elastic coefficients can be derived from sound speed measurements in statically stressed crystals. The necessary relations between experimental data and elastic coefficients are here presented for orthorhombic, tetragonal, cubic, rhombohedral, and hexagonal crystal classes. For each symmetry a sufficient number of wave modes and stress systems is selected to determine all third-order coefficients and to allow experimental cross checks. All the modes considered are pure longitudinal or transverse. They are selected so as to minimize the number of specimen orientations required, and following experimental procedures for uniaxial static stress, only wave modes propagating at right angles to the stress direction are considered. \©1965 The American Institute of Physics}, author = {Brugger, K. }, citeulike-article-id = {1586150}, doi = {10.1063/1.1714216}, journal = {Journal of Applied Physics}, keywords = {nonlinear}, number = {3}, pages = {768--773}, posted-at = {2007-08-23 16:46:05}, priority = {2}, publisher = {AIP}, title = {Determination of Third-Order Elastic Coefficients in Crystals}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=JAPIAU000036000003000768000001\&idtype=cvips\&gifs=yes}, volume = {36}, year = {1965} }

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TY - JOUR ID - citeulike:1586150 L3 - citeulike-article-id:1586150 TI - Determination of Third-Order Elastic Coefficients in Crystals JF - Journal of Applied Physics VL - 36 IS - 3 SP - 768 EP - 773 PB - AIP N2 - Third-order elastic coefficients can be derived from sound speed measurements in statically stressed crystals. The necessary relations between experimental data and elastic coefficients are here presented for orthorhombic, tetragonal, cubic, rhombohedral, and hexagonal crystal classes. For each symmetry a sufficient number of wave modes and stress systems is selected to determine all third-order coefficients and to allow experimental cross checks. All the modes considered are pure longitudinal or transverse. They are selected so as to minimize the number of specimen orientations required, and following experimental procedures for uniaxial static stress, only wave modes propagating at right angles to the stress direction are considered. ©1965 The American Institute of Physics KW - nonlinear AU - Brugger, K PY - 1965/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JAPIAU000036000003000768000001&idtype=cvips&gifs=yes ER -

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