Generalized Plasticity

Misura, Kira M. S.; Morozov, Alexandre V.; Baker, David

doi:10.1007/3-540-30433-9

Cited by 4 publications

(6 citation statements)

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“…The contour plots of the hoop stress with the present model are illustrated in Figure 15. A closed-form solution to this problem with UST has been derived by Yu [9]. The hoop stress computed by the present method is plotted in the radial direction as illustrated in Figure 16, and it is in complete agreement with the closed-form solution.…”

Section: Numerical Simulation For the Behavior Of Internally Pressuresupporting

confidence: 54%

“…There is, however, no need for smoothening of singular points for the UST. Another method suggested by Yu [9] is applied in finite element analyses, in which the plastic flow vectors at the corners could be determined by initial yield surfaces at every iteration step, so it is only suitable for the explicit Euler integration algorithm [10]. The final stress state might not satisfy the yield condition strictly, and the accuracy of numerical solution is strongly dependent on the iteration step length.…”

Section: Introductionmentioning

confidence: 99%

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A return mapping algorithm for unified strength theory model

Chen

2015

Numerical Meth Engineering

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Summary A return mapping algorithm in principal stress space for unified strength theory (UST) model is presented in this paper. In contrast to Mohr–Coulomb and Tresca models, UST model contains two planes and three corners in the sextant of principal stress space, and the apex is formed by the intersection of 12 corners rather than the six corners of Mohr–Coulomb in the whole principal stress space. In order to utilize UST model, the existing return mapping algorithm in principal stress space is modified. The return mapping schemes for one plane, middle corner, and apex of UST model are derived, and corresponding consistent constitutive matrices in principal stress space are constructed. Because of the flexibility of UST, the present model is not only suitable for analysis based on the traditional yield functions, such as Mohr–Coulomb, Tresca, and Mises, but might also be used for analysis based on a series of new failure criteria. The accuracy of the present model is assessed by the iso‐error maps. Three numerical examples are also given to demonstrate the capability of the present algorithm. Copyright © 2015 John Wiley & Sons, Ltd.

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Section: Numerical Simulation For the Behavior Of Internally Pressuresupporting

confidence: 54%

Section: Introductionmentioning

confidence: 99%

A return mapping algorithm for unified strength theory model

Chen

2015

Numerical Meth Engineering

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“…To analyze the SSS of aluminium alloy 6063, a computer simulation of the process of triaxial compression in a closed die cavity is carried out in the DEFORM-3D modelling system (finite element method), and the slip-line field method is also used [21][22][23][24].…”

Section: Theoretical and Computer Mathematical Analysis Of The Stress Statementioning

confidence: 99%

“…To analyze the stress state and determine the mean stress or hydrostatic stress is determined by the slip-line field method [21][22][23][24]. The construction of the field of slip lines begins from the side of the metal exit from the die cavity into the hole of the side punch, i.e.…”

Section: Theoretical and Computer Mathematical Analysis Of The Stress Statementioning

confidence: 99%

Stress State of 6063 Cold-Formed Aluminium Alloy Workpieces in a Closed Die

Ashkeyev¹,

Abishkenov²

2021

Metallofiz. Noveishie Tekhnol.

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The article presents the results of stress state analysis for workpieces from aluminium alloy 6063 cold-formed in a closed die. Mathematical methods of computer modelling (finite element method) and slip lines (slip-line field method) are used for the analysis. The experimental procedure for repeated cold deformation in a closed matrix (in several passes and/or cycles), the mechanisms of grain grinding and material hardening under the influence of grain-dislocation factors are described. The results of the stress state study of the material during cold deformation (at room temperature) show that the volume of the workpiece is mainly compressive stresses, the values of which are in the range from −273 MPa to −533 MPa. As found, due to the hydrostatic stress from the side of the punches and the side walls of the semi-dies, the workpiece is subjected to triaxial compression, which makes it possible to obtain volumetric spherical workpieces with ultrafine-grained nanostructure in a closed die with minimal processing cycles.

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“…The soil was considered as weightless. This additional assumption has to be made according to Prandtl analytical solution, which is given as [16]…”

Section: Benchmark Testsmentioning

confidence: 99%

Numerical Estimation of the Pile Toe and Shaft Unit Resistances During the Installation Process in Sands

Konkol

2015

Studia Geotechnica Et Mechanica

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Numerical simulations of a pile jacking were carried out. A Coupled Eulerian-Lagrangian (CEL) formulation was used to treat with large deformation problems. An Abaqus, a commercial Finite Element Method software suit, was used as a computing environment. The Mohr-Coulomb constitutive model was applied and the Coulomb model of friction was used to describe pile-soil interaction. Calculations were made for three different pile diameters. Toe and shaft unit resistances versus depth for each pile were investigated and plotted. CPT-based solutions were compared with the results of numerical simulations.

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Generalized Plasticity

Abstract: Appreciate the beauty of the universe; discover the truth of the universe. Zhuang Zi (369 286 B.C. China) I have loved the principle of beauty in all things, and if I had had time I would have made myself remembered. Keats, John (1795 1821, UK)

Cited by 4 publications

References 50 publications

A return mapping algorithm for unified strength theory model

A return mapping algorithm for unified strength theory model

Stress State of 6063 Cold-Formed Aluminium Alloy Workpieces in a Closed Die

Numerical Estimation of the Pile Toe and Shaft Unit Resistances During the Installation Process in Sands

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