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On Incremental Deformations of Initially Stressed Media with Couple Stresses

โœ Scribed by M. Farshad

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
602 KB
Volume
305
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

A two-dimensional theory for the incremental deformations of an initially stressed continuum with couple stresses is established in this paper. As applications of theory, the problems of internal instability and wave propagation are studied. It is found that the otherwise non-dispersive waves become dispersive, and additional local modes of buckling and vibratory motion

are observed. To complete the theory, a stress function formulation of equations is also presented. S 11.x + S2Ly = 0 &,* + s22.y = 0 M,,, + Mzy + Slz -$1 = 0.

๐Ÿ“œ SIMILAR VOLUMES

Nonlinear couple stress theory of elasti
Nonlinear couple stress theory of elastic dielectrics with applications to dynamic deformations
โœ M. Singh; P. D. S. Verma ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 521 KB

A general nonlinear couple stress theory of elastic dielectrics in the presence of an electric field is formulated and applied to the problem of nonlinear oscillations of the surface of a spherical cavity in an infinite medium. It is observed that the uniform pressure increases while the azimuthal s