A simple and computationally efficient stress integration scheme based on numerical approximation of the yield function gradients: Application to advanced yield criteria

Hosseini, Navab; Rodríguez-Martínez, José A.

Publication:
A simple and computationally efficient stress integration scheme based on numerical approximation of the yield function gradients: Application to advanced yield criteria

dc.affiliation.dpto	UC3M. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras	es
dc.affiliation.grupoinv	UC3M. Grupo de Investigación: Nonlinear Solid Mechanics	es
dc.contributor.author	Hosseini, Navab
dc.contributor.author	Rodríguez-Martínez, José A.
dc.contributor.funder	European Commission	en
dc.date.accessioned	2022-04-07T11:43:47Z
dc.date.available	2022-04-07T11:43:47Z
dc.date.issued	2021-09-15
dc.description.abstract	In this paper, we have modified the stress integration scheme proposed by Choi and Yoon [1]; which is based on the numerical approximation of the yield function gradients, to implement in the finite element code ABAQUS three elastic isotropic, plastic anisotropic constitutive models with yielding described by Yld2004-18p [2], CPB06ex2 [3] and Yld2011-27p [4] criteria, respectively. We have developed both VUMAT and UMAT subroutines for the three constitutive models, and have carried out cylindrical cup deep drawing test simulations and calculations of dynamic necking localization under plane strain tension, using explicit and implicit analyses. An original feature of this paper is that these finite element simulations are systematically compared with additional calculations performed using (i) the numerical approximation scheme developed by Choi and Yoon [1]; and (ii) the analytical computation of the first and second order yield functions gradients. This comparison has shown that the numerical approximation of the yield function gradients proposed in this paper facilitates the implementation of the constitutive models, and in the case of the implicit analyses, it leads to a significant decrease of the computational time without impairing the accuracy of the finite element results. In addition, we have demonstrated that there is a critical loading rate below which the dynamic implicit analyses are computationally more efficient than the explicit calculations.	en
dc.description.sponsorship	The research leading to these results has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme. Project PURPOSE, grant agreement 758056.	en
dc.format.extent	54
dc.identifier.bibliographicCitation	Hosseini, N., Rodríguez-Martínez, J. A. (2021). A simple and computationally efficient stress integration scheme based on numerical approximation of the yield function gradients: Application to advanced yield criteria. Finite Elements in Analysis and Design, 192, 103538	en
dc.identifier.doi	https://doi.org/10.1016/j.finel.2021.103538
dc.identifier.issn	0168-874X
dc.identifier.publicationfirstpage	1
dc.identifier.publicationissue	103538
dc.identifier.publicationlastpage	21
dc.identifier.publicationtitle	Finite Elements in Analysis and Design	en
dc.identifier.publicationvolume	192
dc.identifier.uri	https://hdl.handle.net/10016/32082
dc.identifier.uxxi	AR/0000027319
dc.language.iso	eng
dc.publisher	Elsevier
dc.relation.dataset	https://doi.org/10.21950/IBUQ4Q
dc.relation.dataset	https://doi.org/10.21950/PMZWTM
dc.relation.projectID	info:eu-repo/grantAgreement/EC/H2020/758056
dc.relation.projectID	AT-2021
dc.rights	© The Authors
dc.rights	Atribución 3.0 España
dc.rights.accessRights	open access
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/es/
dc.subject.eciencia	Ingeniería Mecánica	es
dc.subject.other	Advanced yield criteria	en
dc.subject.other	Anisotropy	en
dc.subject.other	Stress integration	en
dc.subject.other	Finite elements	en
dc.subject.other	Metal forming	en
dc.title	A simple and computationally efficient stress integration scheme based on numerical approximation of the yield function gradients: Application to advanced yield criteria	en
dc.type	research article	*
dc.type.hasVersion	VoR	*
dspace.entity.type	Publication