Nurbs-based isogeometric analysis for small deformation of viscoplastic and creep problems

This paper focuses on the application of NURBS-based isogeometric analysis to viscoplastic and creep problems, in the context of two dimensional small deformation. Viscoplastic materials combining with von Mises yield function and Perzyna's flow rule are employed. The stress expression, stress-strain relationship matrix, isogeometric discrete formulations and other important formulas of viscoplastic and creep problems are derived and listed in detail. Several numerical examples are investigated to verify the proposed method through comparing the results with that from commercial software ABAQUS as well as existing literatures.