Release Time:2019-10-19  Hits:

Indexed by: Journal Article

Date of Publication: 2019-06-01

Journal: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Included Journals: EI、SCIE

Volume: 349

Page Number: 458-476

ISSN: 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.