On background Cells during the Analysis of Bulk Forming Processes by the Reproducing Kernel Particle Method

• Published in: Computational mechanics Vol. 40; no. 2; pp. 233 - 247
• Main Authors: Xiong, Shangwu, Rodrigues, J. M. C., Martins, P. A. F.
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer Nature B.V 01.07.2007
• Subjects: Benchmarks; Computer simulation; Data acquisition; Deformation; Finite element method; Kernels; Mathematical analysis; Metal forming; Quadrilaterals; Stress concentration
• ISSN: 0178-7675; 1432-0924
• DOI: 10.1007/s00466-006-0088-z

The reproducing kernel particle method based on the irreducible flow formulation is utilised to perform the numerical simulation of bulk metal forming processes. Emphasis is given on analysing the influence of employing triangular or quadrilateral background cells on the predictions of material flow, forming load and distribution of strain. A new proposal to smooth the distribution of average stresses during stress computations in the background cells is also included. The effectiveness of the proposed method is discussed by comparing its numerical predictions with a benchmark test case, finite element calculations and experimental data. The benchmark test case is included with the objective of illustrating the influence of several theoretical and numerical subjects such as; order of the basis correction functions, dimension of the compact support and computation of the volume associated to each nodal point. Experimental data was acquired from metal forming controlled laboratory-based tests that were designed so that the proposed method could be tested on its ability to efficiently handle large plastic deformations. It is shown that adaptive arbitrary triangular background cells are capable of efficiently handling large plastic deformations without remeshing.