Wave Propagation at Liquid/Micropolar Elastic Solid Interface

✍ Scribed by S.K. Tomar; R. Kumar

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 162 KB
• Volume: 222
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1998.2069

✦ Synopsis

LETTERS TO THE EDITOR 859 2. FIELD EQUATIONS AND CONSTITUTIVE RELATIONS Following Eringen [10], the micropolar elastodynamic equations in the absence of body forces and body couples are given by,

) and f f f(x, t) are displacement and rotation vectors respectively. l, m, K, a, b, g are elastic moduli, r is density, and j is micro-inertia of the medium. The superposed dots on the right hand side of equations ( 1) denote the double time derivative.

The constitutive relations in micropolar medium are (cf. reference [10])

where symbols have their usual meanings. Introducing the scalar and vector potentials q, x and U, F F F through Helmholtz's theorem as follows: