IMPLEMENTING AN ACCURATE GENERALIZED GAUSSIAN QUADRATURE SOLUTION TO FIND THE ELASTIC FIELD IN A HOMOGENEOUS ANISOTROPIC MEDIA
H. Kabir, S. A. H. H. Matikolaei (DOI: 10.24874/jsscm.2017.11.01.02)
In the current study, the elastic field in an anisotropic elastic media is determined by implementing a general semi-analytical method. In this specific methodology, the displacement field is computed as a sum of finite functions with unknown coefficients. These aforementioned functions exactly satisfy both the homogeneous and inhomogeneous boundary conditions in the proposed media. It is worth mentioning that the unknown coefficients are determined by implementing the principle of minimum potential energy. The numerical integration is done by employing the Generalized Gaussian Quadrature rule. Furthermore, and with the aid of the calculated unknown coefficients, the displacement fields as well as the other parameters of the elastic field are obtainable. Finally, the comparison of the previous analytical method with the current semi-analytical approach proposes the efficacy of the present methodology.