Fundamental solutions and boundary integral equations of moderately thick symmetrically laminated anisotropic plates

✍ Scribed by Wang, Jianguo ;Schweizerhof, Karl

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 605 KB
• Volume: 12
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199607)12:7<383::aid-cnm986>3.0.co;2-4

✦ Synopsis

In the paper the bending problem of moderately thick symmetrically laminated anisotropic plates is considered, based on the first-order transverse shear deformation plate theory. Using the method of plane wave decomposition and Hormander's operator method, the fundamental solution of the plates is presented. The boundary integral equation of the plates is formulated by taking the fundamental solution presented as the weighted function and using the method of weighted residuals. The numerical calculation of the boundary integral equation presented is discussed in detail. Some examples are presented and compared with the exact solutions and the numerical solutions available in the literature. The numerical results show that the present method has a satisfactory rate of convergence and acceptable accuracy with a reasonable boundary mesh.