Research Papers

Nonlinear Material Model in Part Variation Simulations of Sheet Metals

[+] Author and Article Information
Soner Camuz

Department of Industrial and Materials Science,
Chalmers University of Technology,
Gothenburg SE-41296, Sweden
e-mail: soner@chalmers.se

Samuel Lorin

Fraunhofer Chalmers Centre,
Chalmers University of Technology,
Gothenburg SE-41288, Sweden

Kristina Wärmefjord, Rikard Söderberg

Department of Industrial and Materials Science,
Chalmers University of Technology,
Gothenburg SE-41296, Sweden

1Corresponding author.

Contributed by the Computers and Information Division of ASME for publication in the JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING. Manuscript received April 8, 2018; final manuscript received December 13, 2018; published online March 18, 2019. Assoc. Editor: Krishnan Suresh.

J. Comput. Inf. Sci. Eng 19(2), 021012 (Mar 18, 2019) (6 pages) Paper No: JCISE-18-1085; doi: 10.1115/1.4042539 History: Received April 08, 2018; Revised December 13, 2018

Current methodologies for variation simulation of compliant sheet metal assemblies and parts are simplified by assuming linear relationships. From the observed physical experiments, it is evident that plastic strains are a source of error that is not captured in the conventional variational simulation methods. This paper presents an adaptation toward an elastoplastic material model with isotropic hardening in the method of influence coefficients (MIC) methodology for variation simulations. The results are presented in two case studies using a benchmark case involving a two-dimensional (2D) quarter symmetric plate with a centered hole, subjected to both uniaxial and biaxial displacement. The adaptation shows a great reduction in central processing unit time with limited effect on the accuracy of the results compared to direct Monte Carlo simulations.

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Fig. 1

Flow chart of the proposed method, toward NLMIC, for N direct Monte Carlo simulation based on MIC with elastoplastic material

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Fig. 2

Boundaries of a 2D quarter symmetric plate

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Fig. 3

Nominal prescribed displacement uy|Γ3=6.15 (mm)

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Fig. 4

L2 normalization of the residual between FEA and NLMIC, uni-axial

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Fig. 5

Nominal prescribed displacement ux|Γ2=5 (mm) and uy|Γ3=6.15 (mm)

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Fig. 6

L2 normalization of the residual between FEA and NLMIC of the 2-level full factorial test space



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