Advances in strength theories for materials under complex stress state in the 20th Century

Yu, Mao-Hong

doi:10.1115/1.1472455

Cited by 327 publications

(108 citation statements)

References 343 publications

(22 reference statements)

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“…A larger rigid footing plane-strain finite-element analysis compares solutions obtained from the proposed model with those obtained from D-P, M-C and Willam-Warnke (W-W [16]) cones. A number of other forms of Lode angle dependencies on the yield surface have been proposed in the literature [1,3,10,17]. These can improve on the relatively poor fit of the D-P and M-C idealisations, yet none offer the advantage of a closed form BE integration solution which is available in the formulation proposed here.…”

Section: Introductionmentioning

confidence: 99%

Reuleaux plasticity: Analytical backward Euler stress integration and consistent tangent

Coombs

Crouch

Augarde

2010

Computer Methods in Applied Mechanics and Engineering

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The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. AbstractAnalytical backward Euler stress integration is presented for a deviatoric yielding criterion based on a modified Reuleaux triangle. The criterion is applied to a cone model which allows control over the shape of the deviatoric section, independent of the internal friction angle on the compression meridian. The return strategy and consistent tangent are fully defined for all three regions of principal stress space in which elastic trial states may lie. Errors associated with the integration scheme are reported. These are shown to be less than 3% for the case examined. Run time analysis reveals a 2.5-5.0 times speed-up (at a material point) over the iterative Newton-Raphson backward Euler stress return scheme. Two finite-element analyses are presented demonstrating the speed benefits of adopting this new formulation in larger boundary value problems. The simple modified Reuleaux surface provides an advance over Mohr-Coulomb and Drucker-Prager yield envelopes in that it incorporates dependencies on both the Lode angle and intermediate principal stress, without incurring the run-time penalties of more sophisticated models.

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Section: Introductionmentioning

confidence: 99%

Reuleaux plasticity: Analytical backward Euler stress integration and consistent tangent

Coombs

Crouch

Augarde

2010

Computer Methods in Applied Mechanics and Engineering

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“…Instead focus is placed on general classes on stress integration techniques used to implement these models. For a more general review of constitutive modelling for various materials see Yu [40], see the work of Simo and Hughes [29] regarding their numerical implementation and specifically focused on their implementation within the finite element method see the work of Kojić [15].…”

Section: Introductionmentioning

confidence: 99%

NURBS plasticity: Yield surface representation and implicit stress integration for isotropic inelasticity

Coombs

Petit²,

Motlagh

2016

Computer Methods in Applied Mechanics and Engineering

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. (2016) 'NURBS plasticity : yield surface representation and implicit stress integration for isotropic inelasticity.', Computer methods in applied mechanics and engineering., 304 . pp. 342-358. Further information on publisher's website: Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. AbstractIn numerical analysis the failure of engineering materials is controlled through specifying yield envelopes (or surfaces) that bound the allowable stress in the material. However, each surface is distinct and requires a specific equation describing the shape of the surface to be formulated in each case. These equations impact on the numerical implementation, specifically relating to stress integration, of the models and therefore a separate algorithm must be constructed for each model. This paper presents, for the first time, a way to construct yield surfaces using techniques from non-uniform rational basis spline (NURBS) surfaces, such that any isotropic convex yield envelope can be represented within the same framework. These surfaces are combined with an implicit backward-Euler-type stress integration algorithm to provide a flexible numerical framework for computational plasticity. The algorithm is inherently stable as the iterative process starts and remains on the yield surface throughout the stress integration. The performance of the algorithm is explored using both material point investigations and boundary value analyses demonstrating that the framework can be applied to a variety of plasticity models.

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“…It is not suitable to use the uniaxial strength criterion to evaluate the bearing capacity of the explosive parts. This is because the dynamic compression strength of the PBX simulation material is greater than its static compression intensity; on the other hand, it is due to the fact that the PBX simulation material is in a structure that is subjected to a complex pressure state and requires the application of a damage model under a complex stress state [15].…”

Section: Test Systemmentioning

confidence: 99%

Experimental Investigation on the Explosive Substitute by Drop Test

Ruoze

Zhang

Deng

et al. 2018

The 18th International Conference on Experimental Mechanics

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Abstract:The drop tests of the experimental structure with explosive substitute material were carried out to study the dynamic deformation and failure of the explosive substitute. The PBX simulation material was designed as a cylindrical flat head structure, with the support structure of the PBX simulation material as an aluminum support ring, and with an affixed counterweight to the upper part of the PBX simulation material. The PBX simulation materials, the counterweight and the support ring, were glued together to form the drop test pieces. A special drop test system was designed, which realized the non-deflection of the falling posture of the drop test pieces and that the drop was pure free. The results show that in the drop impact tests, the critical height of the explosive simulant failure is about 600 mm to 700 mm when the counterweight of 19.62 kg is used.

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Advances in strength theories for materials under complex stress state in the 20th Century

Cited by 327 publications

References 343 publications

Reuleaux plasticity: Analytical backward Euler stress integration and consistent tangent

Reuleaux plasticity: Analytical backward Euler stress integration and consistent tangent

NURBS plasticity: Yield surface representation and implicit stress integration for isotropic inelasticity

Experimental Investigation on the Explosive Substitute by Drop Test

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