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The Effect of Polarity on the Diffraction of Plane Elastic Waves by a Cylindrical Cavity
Author(s) -
Zika M. J.,
Ariman T.
Publication year - 1972
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19720520903
Subject(s) - elasticity (physics) , physics , monochromatic color , plane wave , classical mechanics , mechanics , plane stress , helmholtz equation , monochromatic electromagnetic plane wave , longitudinal wave , helmholtz free energy , diffraction , plane (geometry) , reflection (computer programming) , mechanical wave , optics , wave propagation , mathematics , geometry , boundary value problem , finite element method , thermodynamics , quantum mechanics , programming language , computer science
An analysis considering the effect of polarity for the problem of a plane compressional wave impinging on a cylindrical cavity in the micropolar theory of elasticity is presented. In the case of plane strain, uncoupled equations are developed in Helmholtz displacement potentials and solved for the reflection of monochromatic waves. The micropolar stress and couple stress fields are found from these potentials. Three additional waves are obtained that do not occur in classical elasticity and two more waves exist in the micropolar theory than are present in the couple stress theory.