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Directional distortional hardening i...

Feigenbaum, Heidi Paula.

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Directional distortional hardening in plasticity based on thermodynamics.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Directional distortional hardening in plasticity based on thermodynamics./
Author:	Feigenbaum, Heidi Paula.
Description:	161 p.
Notes:	Adviser: Yannis F. Dafalias.
Contained By:	Dissertation Abstracts International69-06B.
Subject:	Applied Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3317924
ISBN:	9780549670292

Directional distortional hardening in plasticity based on thermodynamics.
Feigenbaum, Heidi Paula.

Directional distortional hardening in plasticity based on thermodynamics. - 161 p.

Adviser: Yannis F. Dafalias.

Thesis (Ph.D.)--University of California, Davis, 2008.

It has long been observed that plastic deformations induce anisotropy in initially isotropic materials, which is reflected through a translation of the yield surface and a distortion of its initial shape in stress space. Experiments on various metals have shown that the distortion of the yield surface is characterized by a region of high curvature along the direction of loading and a region of flattening on the opposite side. This type of response will be called directional distortional hardening.

ISBN: 9780549670292Subjects--Topical Terms:

1018410
Applied Mechanics.

Directional distortional hardening in plasticity based on thermodynamics.
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020 $a 9780549670292
035 $a (UMI)AAI3317924
035 $a AAI3317924
040 $a UMI $c UMI
100 1 $a Feigenbaum, Heidi Paula. $3 1277354
245 1 0 $a Directional distortional hardening in plasticity based on thermodynamics.
300 $a 161 p.
500 $a Adviser: Yannis F. Dafalias.
500 $a Source: Dissertation Abstracts International, Volume: 69-06, Section: B, page: .
502 $a Thesis (Ph.D.)--University of California, Davis, 2008.
520 $a It has long been observed that plastic deformations induce anisotropy in initially isotropic materials, which is reflected through a translation of the yield surface and a distortion of its initial shape in stress space. Experiments on various metals have shown that the distortion of the yield surface is characterized by a region of high curvature along the direction of loading and a region of flattening on the opposite side. This type of response will be called directional distortional hardening.
520 $a This dissertation introduces several complete theories for metal plasticity that includes-directional distortional hardening, supplemented by the classical kinematic and isotropic hardenings. First a complete model is developed that captures directional distortional hardening by an evolving fourth-order tensor-valued internal variable and a directional scalar multiplier of this tensor. This model is unique because the hardening rules for all internal variables, including the cardinal fourth order tensor, are derived strictly on the basis of sufficient conditions for the satisfaction of the dissipation inequality, in conjunction with a few simple and plausible assumptions about energy storage and release in the material. Next, three simpler mathematical formulations describing directional distortional hardening are presented without the use of a fourth order tensor, in conjunction with kinematic and isotropic hardening. The hardening rules for the simpler models are again derived based on conditions sufficient to satisfy the thermodynamic dissipation inequality.
520 $a The models were implemented numerically and used to simulate experimental data of directionally distorted yield surfaces in the course of plastic deformation and ratcheting. For the latter simulations, any small deviations in the yield surface shape may result in significant changes of the normal to the yield surface direction, hence, of the plastic strain increment direction, which during cyclic loading affect the plastic strain accumulation.
520 $a Finally the model is extended into large deformation plasticity. As such, all rate equations are formulated in terms of the corotational rates, including those for the fourth order tensor, and constitutive models for the plastic spin are derived. The complete finite deformation plasticity model is implemented numerically and used to simulate a material element subject to simple shear.
590 $a School code: 0029.
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Engineering, Civil. $3 783781
650 4 $a Engineering, Mechanical. $3 783786
690 $a 0346
690 $a 0543
690 $a 0548
710 2 $a University of California, Davis. $3 1018682
773 0 $t Dissertation Abstracts International $g 69-06B.
790 $a 0029
790 1 0 $a Dafalias, Yannis F., $e advisor
791 $a Ph.D.
792 $a 2008
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3317924