Formulation of Drucker‐Prager Cap Model

Resende, L.; Martin, J. B.

doi:10.1061/(asce)0733-9399(1985)111:7(855)

Cited by 73 publications

(27 citation statements)

References 10 publications

(15 reference statements)

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“…The most commonly used are the modified Drucker-Prager model (see e.g. [18]) and the Shima-Oyane model [19] that are available in the ABAQUS and DEFORM software. In the present work, we apply the Beygelzimer model (see [16,20,21]), which combines the features of the Drucker-Prager model and the Shima-Oyane model.…”

Section: Modeling Conditionsmentioning

confidence: 99%

Modeling strain and density distributions during high-pressure torsion of pre-compacted powder materials

Kulagin

Zhao

Beygelzimer

et al. 2016

Materials Research Letters

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It is shown by finite element modeling that under high-pressure torsion of water-atomized pure iron powder a zone with high shear strain and high density develops first in a layer adjacent to the moving anvil. The finite element simulation results and an analytical calculation using the minimum plastic energy extremum principle both show that with further deformation the compacted zone extends progressively in the radial and axial directions throughout the specimen. IMPACT STATEMENTThe strain non-uniformities that appear during compaction of a metallic powder by high pressure torsion can be properly modeled and the results can be used for material processing. ARTICLE HISTORY

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Section: Modeling Conditionsmentioning

confidence: 99%

Modeling strain and density distributions during high-pressure torsion of pre-compacted powder materials

Kulagin

Zhao

Beygelzimer

et al. 2016

Materials Research Letters

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“…and the iterative procedure, starting with the solution of (63) and then skipping to (75), is repeated until convergence.…”

Section: Implementation Issuesmentioning

confidence: 99%

An interior‐point algorithm for elastoplasticity

Krabbenhøft

Lyamin

Sloan

et al. 2006

Numerical Meth Engineering

121

133

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SUMMARYThe problem of small-deformation, rate-independent elastoplasticity is treated using convex programming theory and algorithms. A finite-step variational formulation is first derived after which the relevant potential is discretized in space and subsequently viewed as the Lagrangian associated with a convex mathematical program. Next, an algorithm, based on the classical primal-dual interior point method, is developed. Several key modifications to the conventional implementation of this algorithm are made to fully exploit the nature of the common elastoplastic boundary value problem. The resulting method is compared to state-of-the-art elastoplastic procedures for which both similarities and differences are found. Finally, a number of examples are solved, demonstrating the capabilities of the algorithm when applied to standard perfect plasticity, hardening multisurface plasticity, and problems involving softening.

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“…For the complex stress-strain state of bodies with structural defects (pores), models taking into account both compaction and decompaction, such as the Cam-Clay Plasticity model [2], the Gurson-Tvergaard-Needleman model [3,4], the Modified Drucker-Prager Cap model [5], used in finite element analysis, are the most appropriate ones. A number of models work well in high-density areas, but underestimate the results in low-density ones, and vice versa [6].…”

Section: Numerical Modelingmentioning

confidence: 99%

Research of the stress-strain state of rods obtained by porous blank extrusion

Berezin

Polyakov

2017

AIP Conference Proceedings

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Abstract. The features of the stress-strain state in the cross section of rods under forming are revealed by the finite element modeling of the process of direct extrusion of a porous iron blank. In particular, the nature of porosity distribution and the stress-state stiffness coefficient obtained as a result of calculating the residual stresses field in the rod is studied. The Gurson-Tvergaard-Needleman (GTN) model is used to describe the behavior of the material of a porous blank under plastic deformation. It has been established that, in different cross-section zones of the rod, the values of the stress-state coefficient can be either positive or negative. It is shown that the most unfavorable area of the cross-section in the drawing index range investigated (2.04-4) is the material layer lying in the immediate vicinity of the outer surface of the rod (0.7...0.8R, where R is the rod radius), where the localization of tensile stresses is observed which promotes the emergence and growth of layered annular cracks.

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Formulation of Drucker‐Prager Cap Model

Cited by 73 publications

References 10 publications

Modeling strain and density distributions during high-pressure torsion of pre-compacted powder materials

Modeling strain and density distributions during high-pressure torsion of pre-compacted powder materials

An interior‐point algorithm for elastoplasticity

Research of the stress-strain state of rods obtained by porous blank extrusion

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