A non-quadratic plane stress yield function for orthotropic sheet metals

Aretz, Holger

doi:10.1016/j.jmatprotec.2004.10.008

Cited by 87 publications

(54 citation statements)

References 16 publications

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“…von Mises m = 2 or 4 and Tresca m = 1 or ∞. A comparison between the effective stress according to Aretz (2005) and Hershey (1954) is found in Fig. 10.…”

Section: Constitutive Modelmentioning

confidence: 93%

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Failure characteristics of a dual-phase steel sheet

Björklund

Nilsson

2014

Journal of Materials Processing Technology

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Failure in ductile sheet metal structures is usually caused by one, or a combination of, ductile tensile fractures, ductile shear fractures or localised instability. In this paper the failure characteristics of the high strength steel Docol 600DP are explored. The study includes both experimental and numerical sections. In the experimental sections, the fracture surface of the sheet subjected to Nakajima tests is studied under the microscope with the aim of finding which failure mechanism causes the fracture. In the numerical sections, finite element (FE) simulations have been conducted using solid elements. From these simulations, local stresses and strains have been extracted and analysed with the aim of identifying the fracture dependency of the stress triaxiality and Lode parameter.

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“…von Mises m = 2 or 4 and Tresca m = 1 or ∞. A comparison between the effective stress according to Aretz (2005) and Hershey (1954) is found in Fig. 10.…”

Section: Constitutive Modelmentioning

confidence: 93%

“…An associated plasticity theory was used with an effective stress for anisotropic plane stress according to Aretz (2005) and mixed isotropic and kinematic hardening. In this study solid elements and an isotropic effective stress according to Hershey (1954) has been used, i.e.…”

Section: Constitutive Modelmentioning

confidence: 99%

Failure characteristics of a dual-phase steel sheet

Björklund

Nilsson

2014

Journal of Materials Processing Technology

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“…Banabic et al (2010). In all papers except Paper III, the effective stress denoted as Yld2003, see Aretz (2005), has been used.…”

Section: Plastic Anisotropymentioning

confidence: 99%

Ductile Failure in High Strength Steel Sheets

Björklund¹

2014

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Cover:Results form finite element simulation of the stretching of the sheet metal exhaust bracket.Printed by: LiU-Tryck, Linköping, Sweden, 2014 ISBN 978-91-7519-389-2 ISSN 0345-7524 Distributed by: Linköping University Department of Management and Engineering 581 83 Linköping, Sweden c 2014 Oscar Björklund This document was prepared with L A T E X, March 7, 2014 No part of this publication may be reproduced, stored in a retrieval system, or be transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without prior permission of the author. PrefaceThe work presented in this thesis has been carried out at the Division of Solid Mechanics at Linköping University with financial support from the VINNOVA PFF project "Fail" and the SFS ProViking project "Super Light Steel Structures". Industrial partners DYNAmore Nordic, Outokumpu Stainless, Saab Automobile, Scania CV, SSAB, Swerea IVF and Volvo Car Corporation are gratefully acknowledged for their support. AbstractDevelopments in computer-aided engineering and the rapid growth of computational power have made simulation-driven process and product development efficient and useful since it enables detailed evaluation of product designs and their manufacturing processes. In the context of a sheet metal component, it is vital to predict possible failure both during its forming process and its subsequent usage. Accurate numerical models are needed in order to obtain trustworthy simulation results. Furthermore, the increasing demands imposed on improved weightto-performance ratio for many products endorse the use of high-strength steels. These steels often show anisotropic behaviour and more complex hardening and fracturing compared to conventional steels. Consequently, demand for research on material and failure models suitable for these steels has increased.In this work, the mechanical and fracture behaviour of two high-strength steels, Docol 600DP and Docol 1200M, have been studied under various deformation processes. Experimental results have been used both for material characterisation and for calibration of fracture criteria. One major requirement as concerns the fracture criteria studied is that they should be simple to apply in industrial applications, i.e. it should be possible to easily calibrate the fracture criteria in simple mechanical experiments and they should be efficient and accurate. Consequently, un-coupled phenomenological damage models have been the main focus throughout this work.Detailed finite element models including accurate constitutive laws have be used to predict and capture material instabilities. Most of the fracture criteria studied are modifications of the plastic work to fracture. Ductile tensile and ductile shear types of fracture are of particular interest in sheet metal applications. For these fractures the modification of the plastic work relates to void coalescence and void collapse, respectively. Anisotropy in fracture behaviour can be captured by the introduction of a material ...

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“…Henceforth, all constitutive relations will be related to the co-rotated configuration. In Table 1, the equation for the effective stress Yld2003 is given, see Aretz (2005). In its original version, it is derived for a plane stress state, i.e.…”

Section: Constitutive Modelmentioning

confidence: 99%

Failure of high strength steel sheets: Experiments and modelling

Björklund

Larsson

Nilsson

2013

Journal of Materials Processing Technology

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Failure in sheet metal structures of ductile material is usually caused by one of, or a combination of, ductile fracture, shear fracture or localised instability. In this paper the failure of the high strength steel Docol 600DP and the ultra high strength steel Docol 1200M is explored. The constitutive model used in this study includes plastic anisotropy and mixed isotropic-kinematic hardening. For modelling of the ductile and shear fracture the models presented by Cockroft-Latham and Bressan-Williams have been used. The instability phenomenon is described by the constitutive law and the finite element (FE) models. For calibration of the failure models and validation of the results, an extensive experimental series has been conducted including shear tests, plane strain tests and Nakajima tests. The geometries of the Nakajima tests have been chosen so that the first quadrant of the forming limit diagram (FLD) were covered. The results are presented both in an FLD and using prediction of force-displacement response of the Nakajima test employing element erosion during the FE simulations. The classical approach for failure prediction is to compare the principal plastic strains obtained from FE simulations with experimental determined forming limit curves (FLC). It is well known that the experimental FLC requires proportional strains to be useful. In this work failure criteria, both of the instability and fracture, are proposed which can be used also for non-proportional strain paths.

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A non-quadratic plane stress yield function for orthotropic sheet metals

Cited by 87 publications

References 16 publications

Failure characteristics of a dual-phase steel sheet

Failure characteristics of a dual-phase steel sheet

Ductile Failure in High Strength Steel Sheets

Failure of high strength steel sheets: Experiments and modelling

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