In this paper, a new method is introduced for calculation of stress field in the isogeometric analysis (IGA) method. In this technique, by considering the forces induced on the patches of IGA, the surface denoting the variations of each component of the stress tensor is approximated by the same order of NURBS’ shape functions that are used for approximation of the displacements. This new surface is more accurate compared to the stress surfaces obtained from isogeometric analysis, thereby, can be used error estimation of the IGA. It is shown that this method, which falls in the category of stress recovery methods, is superior to the stress recovery based on the superconvergent points in the IGA. To verify the performance of the method, three examples are taken into consideration and their solutions with this approach as well as the method based on superconvergent points are compared with their exact solutions. The obtained results of these examples indicate the effectiveness of the proposed method and therefore can be considered as a simple and efficient method for error estimation and stress recovery.
Hassani, B., & Ganjali, A. (2013). Stress Recovery and Error Estimation by Using Forces Induced on Patches of Isogeometric Analysis. Journal of Solid and Fluid Mechanics, 2(2), 13-29. doi: 10.22044/jsfm.2013.134
MLA
Behrooz Hassani; Ahmad Ganjali. "Stress Recovery and Error Estimation by Using Forces Induced on Patches of Isogeometric Analysis", Journal of Solid and Fluid Mechanics, 2, 2, 2013, 13-29. doi: 10.22044/jsfm.2013.134
HARVARD
Hassani, B., Ganjali, A. (2013). 'Stress Recovery and Error Estimation by Using Forces Induced on Patches of Isogeometric Analysis', Journal of Solid and Fluid Mechanics, 2(2), pp. 13-29. doi: 10.22044/jsfm.2013.134
VANCOUVER
Hassani, B., Ganjali, A. Stress Recovery and Error Estimation by Using Forces Induced on Patches of Isogeometric Analysis. Journal of Solid and Fluid Mechanics, 2013; 2(2): 13-29. doi: 10.22044/jsfm.2013.134
)