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A decade has passed since the first appearance of the superconvergent patch recovery (SPR) method introduced by Zienkiewicz and Zhu [The superconvergence patch recovery and a posteriori error estimates, part I: the recovery techniques, Int. J. Numer. Methods Eng. 33 (1992) 1331-1364; The superconvergence patch recovery and a posteriori error estimates, part II: error estimates and adaptivity, Int. J. Numer. Methods Eng. 33 (1992) 1365-1380; Superconvergence and the superconvergent patch recovery, Finite Elem. Anal. Des. 19 (1995) 11-23]. The method is now widely used in engineering practices for its robustness and efficiency in computer implementation. This paper presents an extension of the... 

In this paper, the data transfer operators are developed in three-dimensional elasto-plasticity using the Superconvergent Patch Recovery (SPR) method. The transfer operators are defined for mapping of the state and internal variables between different meshes. The internal variables are transferred from Gauss points of old mesh to the nodal points. The variables are then transferred from the nodal points of old mesh to the nodal points of new mesh. Finally, the values are computed at the Gauss points of new mesh using their values at the nodal points. Aspects of the transfer operators are presented in a three-dimensional superconvergent path recovery technique, based on C0, C1 and C2... 

In this paper, the data transfer operators are developed in 3D large plasticity deformations using superconvergent patch recovery (SPR) method. The history-dependent nature of plasticity problems necessitates the transfer of all relevant variables from the old mesh to new one, which is performed in three main stages. In the first step, the history-dependent internal variables are transferred from the Gauss points of old mesh to nodal points. The variables are then transferred from nodal points of old mesh to nodal points of new mesh. Finally, the values are computed at the Gauss points of new mesh using their values at nodal points. As the solution procedure, in general, cannot be...