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Indexed by:期刊论文

Date of Publication:2019-06-01

Journal:COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Included Journals:SCIE、EI

Volume:349

Page Number:458-476

ISSN No.:0045-7825

Key Words:Sheet metal forming; One-step inverse approach; Isogeometric analysis; Initial solution estimation; Newton-Raphson iteration

Abstract:Isogeometric analysis (IGA) has been used with great success when combined with incremental methods to simulate sheet metal forming. In this paper, we present the development of one-step inverse IGA based on the total deformation theory of plasticity. For a large number of industrial stamping parts, the membrane effects are dominant Thus, we adopted an isogeometric membrane element to predict the flattened contour of the initial blank from the energy-based initial solution estimation approach. In addition, we used the Newton-Raphson algorithm for nonlinear plastic iterations to evaluate the thickness and equivalent strain and stress of the final stamping parts. We applied our framework to square box and S-rail surface models for demonstration. The results for these two examples illustrate the performance of one-step inverse IGA and its applicability to the integrated design of sheet metal forming. (C) 2019 Elsevier B.V. All rights reserved.