scholarly journals On the quasi-yield surface concept in plasticity theory

2017 ◽  
Vol 97 (8) ◽  
pp. 961-972
Author(s):  
Dimitris Soldatos ◽  
Savvas P. Triantafyllou
Keyword(s):  
Yield Surface ◽  
Plasticity Theory

208 Prediction of yield surface of BCC metals based on crystal plasticity theory

2008 ◽  
Vol 2008.46 (0) ◽  
pp. 55-56
Author(s):  
Koushirou KITAYAMA ◽  
Kouhei OGAWA ◽  
Yuji MITO ◽  
Hiroshi HAMASAKI ◽  
Takeshi UEMORI ◽  
...  
Keyword(s):  
Crystal Plasticity ◽  
Yield Surface ◽  
Plasticity Theory ◽  
Bcc Metals ◽  
Crystal Plasticity Theory

scholarly journals About the choice of a plastic-like model for shape memory alloys

2011 ◽  
Vol 33 (4) ◽  
pp. 283-291 ◽  
Author(s):  
C. Lexcellent ◽  
R. M. Laydi
Keyword(s):  
Phase Transformation ◽  
Shape Memory ◽  
Yield Surface ◽  
Biaxial Loading ◽  
Transformation Strain ◽  
Plasticity Theory ◽  
Homogeneous Body ◽  
Tension And Compression ◽  
Von Mises ◽  
The Impact

The aim of this paper is to examine the impact of the choice of plasticity theory-inspired model in the prediction of the shape of phase transformation domains. In this field a comparison is made between Huber-Von Mises based model and an another integrating the non-symmetry between tension and compression.  The yield surface of phase transformation initiation for a homogeneous body under proportional biaxial loading is discussed. A transport of these surfaces in the space of the "effective transformation strain of martensite tensor" is given.

Analysis of the Plastic Flow of Rock Under a Lubricated Punch

1968 ◽  
Vol 35 (1) ◽  
pp. 87-94 ◽  
Author(s):  
J. B. Cheatham ◽  
P. R. Paslay ◽  
C. W. G. Fulcher
Keyword(s):  
Plastic Flow ◽  
Yield Surface ◽  
Deformation Rate ◽  
Specific Problem ◽  
Three Dimensional ◽  
Plasticity Theory ◽  
Plane Flow ◽  
Perfectly Plastic ◽  
Isotropic Rock ◽  
Rate Vector

A general three-dimensional plasticity theory is presented for describing the plastic flow of homogeneous, isotropic rock. Normality of the deformation-rate vector to the yield surface is incorporated into the stress-deformation rate law used in the theory. The rock is assumed to be perfectly plastic or nonwork-hardening with a dependence of the yield strength on the hydrostatic component of stress. A particular type of yield surface, which is representative of the behavior of rock, is assumed in an application of the theory. The specific problem considered is the solution for the incipient plane flow under a flat lubricated punch.

Plastic Flow of Rock Under a Pointed Punch in Plane Strain

1968 ◽  
Vol 35 (1) ◽  
pp. 95-101 ◽  
Author(s):  
P. R. Paslay ◽  
J. B. Cheatham ◽  
C. W. G. Fulcher
Keyword(s):  
Plane Strain ◽  
Plastic Flow ◽  
Yield Surface ◽  
Work Hardening ◽  
Deformation Rate ◽  
Plasticity Theory ◽  
Surface Work ◽  
Rate Vector ◽  
The Mean ◽  
Elastic Strains

Solutions are presented for the plane-strain plastic flow of rock under a pointed punch for two cases. In the first problem the indentation of a half space by a pointed punch is considered, and in the second the influence of a previous indentation on the formation of the next indentation is evaluated. The plasticity theory used in this analysis was developed by the authors earlier for rock mechanics applications. This theory incorporates a yield surface which is dependent on the mean normal stress and normality of the deformation rate vector to the yield surface. Work-hardening and elastic strains are neglected in the theory. These solutions furnish the analytical basis for some elementary experiments which may help to evaluate the theory.

VARIATIONAL MULTISCALE ANALYSIS OF SOLIDS WITH STRAIN GRADIENT PLASTIC EFFECTS USING MESHFREE APPROXIMATION

2005 ◽  
Vol 02 (04) ◽  
pp. 601-626 ◽  
Author(s):  
JEOUNG-HEUM YEON ◽  
SUNG-KIE YOUN
Keyword(s):  
Strain Gradient ◽  
Partition Of Unity ◽  
Meshfree Method ◽  
Internal Variable ◽  
Plasticity Theory ◽  
Fine Scale ◽  
Meshfree Approximation ◽  
Gradient Effect ◽  
Classical Plasticity ◽  
Variational Form

A meshfree multiscale method is presented for efficient analysis of solids with strain gradient plastic effects. In the analysis of strain gradient plastic solids, localization due to increased hardening of strain gradient effect appears. Chen-Wang theory is adopted, as a strain gradient plasticity theory. It represents strain gradient effects as an internal variable and retains the essential structure of classical plasticity theory. In this work, the scale decomposition is carried out based on variational form of the problem. Coarse scale is designed to represent global behavior and fine scale to represent local behavior and gradient effect by using the intrinsic length scale. From the detection of high strain gradient region, fine scale region is adopted. Each scale variable is approximated using meshfree method. Meshfree approximation is well suited for adaptivity. As a method of increasing resolution, partition of unity based extrinsic enrichment is used. Each scale problem is solved iteratively. The proposed method is applied to bending of a thin beam and bimaterial shear layer and micro-indentation problems. Size effects can be effectively captured in the results of the analysis.

A Study of Microindentation Hardness Tests by Mechanism-based Strain Gradient Plasticity

2000 ◽  
Vol 15 (8) ◽  
pp. 1786-1796 ◽  
Author(s):  
Y. Huang ◽  
Z. Xue ◽  
H. Gao ◽  
W. D. Nix ◽  
Z. C. Xia
Keyword(s):  
Strain Gradient ◽  
Size Dependence ◽  
Plasticity Theory ◽  
Strain Gradient Plasticity ◽  
Gradient Plasticity ◽  
Hierarchical Framework ◽  
Microindentation Hardness ◽  
Dislocation Hardening ◽  
Hardness Tests ◽  
Micro Indentation

We recently proposed a theory of mechanism-based strain gradient (MSG) plasticity to account for the size dependence of plastic deformation at micron- and submicronlength scales. The MSG plasticity theory connects micron-scale plasticity to dislocation theories via a multiscale, hierarchical framework linking Taylor's dislocation hardening model to strain gradient plasticity. Here we show that the theory of MSG plasticity, when used to study micro-indentation, indeed reproduces the linear dependence observed in experiments, thus providing an important self-consistent check of the theory. The effects of pileup, sink-in, and the radius of indenter tip have been taken into account in the indentation model. In accomplishing this objective, we have generalized the MSG plasticity theory to include the elastic deformation in the hierarchical framework.

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