Error estimates for a sixth-order theory of plate bending

✍ Scribed by Z. Rychter

• Publisher: Springer
• Year: 1987
• Tongue: English
• Weight: 384 KB
• Volume: 21
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00132678

✦ Synopsis

A refined linear theory for the bending of anisotropic, homogeneous plates which takes account of transverse shear deformation arid transverse normal stress is rigorously validated by imbedding it in the linear theory of elasticity. Three-dimensional displacement and stress fields are constructed from the two-dimensional plate theory and shown by the hypersphere theorem to approximate exact elasticity solutions with a relative mean square error proportional to the plate thickness cubed. This improves previous estimates for sixth-order theories involving error bounds proportional to the square of thickness.