Nondestructive Characterization of Composite Media
Publisher: CRC
Published: August 26, 1992
Language: eng
Format: Loose leaf
Number of pages: 200
ISBN-13: 9780877629252
Subjects: Materials science; Textiles & Polymers; Science/Mathematics; Technology & Industrial Arts; Material Science; Technology / Material Science; Nondestructive testing; Composite materials; Testing
First sentence: The basic governing equations for elastic wave propagation in an anisotropic medium can be derived directly from the equations of motion for a continuum (in the absence of body forces) (1.1) Assuming a linearly elastic constitutive equation for the material (1.2) we have (1.3) Substituting the strain-displacement relationship (for small displacements) (1.4) into Equation (1.3), we have (1.5) However, the symmetry of the strain and stress tensors requires (1.6) Working with the second term in Equation (1.5), we may interchange l and k (1.7) as (from the summation convention) l and k are dummy indices.