Initial solution estimation for one-step inverse isogeometric analysis in sheet metal stamping

2019-03-11 Hits:

Indexed by:期刊论文

Date of Publication:2018-03-01

Journal:COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Included Journals:SCIE、EI

Volume:330

Page Number:629-645

ISSN No.:0045-7825

Key Words:One-step inverse isogeometric analysis; Initial solution estimation; One-step inverse approach; Sheet metal forming; NURBS

Abstract:Recently, Isogeometric Analysis (IGA) based on incremental methods for simulating the stamping process has been researched. To the best of our knowledge, however, few studies have combined IGA and One-step inverse approach which is based on total deformation theory of plasticity. A key step for One-step inverse IGA is to estimate a good initial solution. Traditional mesh-based initial solution algorithms for One-step inverse approach are not suitable for One-step inverse NURBS-based IGA. In this paper, we presented a method which can rapidly unfold the undevelopable NURBS surface onto a planar domain and obtain a good initial solution estimation for One-step inverse IGA. The key idea of the presented method is unfolding the control net of a NURBS surface for isogeometric analysis by energy-based initial solution estimation algorithm. In addition, we developed a "cutting-stitching" algorithm which can separate a complex control net into several parts with simple shapes. Numerical examples illustrate the initial solutions using the presented method are approaching the final results by One-step inverse finite element method. This implies that the iterative steps and computational time of One-step inverse IGA will be reduced significantly compared with that of One-step inverse finite element method. (C) 2017 Elsevier B.V. All rights reserved.

Date of Publication:2018-03-01