Elastodynamic Equation
Elastodynamic Equation : The basic equation governing the dynamic deformation of a solid body. It is derived from Newton's law on force and acceleration, generalized Hooke's law on stress and strain, and the assumption of the existence of the strain energy function. For an infinitesimally small displacement, it can be reduced to a form equating density times the second time-derivative of the displacement to the sum of the body force and the divergence of the stress tensor (written in terms of the space-derivatives of the displacement). See Aki and Richards (2002 or 2009, p. 11-36), Teisseyre and Majewski (2002), and Eqs. (1.7) and (1.8) in Ben-Zion (2003). See also the biographies of Isaac Newton and of Robert Hooke in Howell (2003)
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