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A three-dimensional elasticity solution for functionally graded rotating disks

✍ Scribed by M. Asghari; E. Ghafoori

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 897 KB
Volume: 92
Category: Article
ISSN: 0263-8223
DOI: 10.1016/j.compstruct.2009.09.055

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✦ Synopsis

A semi-analytical three-dimensional elasticity solution for rotating functionally graded disks for both of hollow and solid disks is presented. The aim is to generalize an available two-dimensional plane-stress solution to a three-dimensional one. Although for the thin disks problems the two-dimensional solution provides appropriate results, for the thick disks, a three-dimensional elasticity solution should be considered to avoid poor results. It is shown that although the plane-stress solution satisfies all the governing three-dimensional equations of motion and boundary conditions, it fails to give a compatible threedimensional strain field. A valid three-dimensional solution has been introduced by modifying the plane-stress solution.

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