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By Julius Miklowitz

The first target of this publication is to offer the reader a easy realizing of waves and their propagation in a linear elastic continuum. The reviews of elastodynamic concept and its software to primary price difficulties may still organize the reader to take on many actual difficulties of basic curiosity in engineering and geophysics, and of specific curiosity in mechanics and seismology

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ON there is the unit vector parallel to PQ. The coordinates of N relative to xt and x[ are /,. and /·, respectively. 9) which state the laws of transformation of a vector. 9) is called a first order tensor (a vector in the context of tensor analysis). Now let

16] deHoop uses his reciprocity theorem to derive an integral representation of the Kirchhoff type (cf. (2. 117) and § 2. 8) for the displacement vector. Further examples of reciprocity arise later in this book. 14. 1. A semi-infinite elastic rod is struck uniformly on its end (x=0) at t=0 by a large mass traveling with velocity υ0. Assuming the one-dimensional wave equation d2u(x9 t)ldx2=ü/c2, C2 = E/Q governs (an approximation), what are the initial (/ = 0) and boundary (x = 0) conditions for the problem?

9] could be extended to the uniqueness question for the infinite anisotropic body. 8] presents similar arguments on the analogous electro magnetic wave uniqueness question. 52 INTRODUCTION TO LINEAR ELASTODYNAMICS [Ch. 13 As has been shown in this introduction to classical elastodynamics, continuity is imposed on the displacements and stresses (hence strains). It follows that Neumann's uniqueness proof, which is based on these Stringent conditions, is not applicable to problems involving discontinuous loadings.

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