Bifurcation analysis for a rate-sensitive, non-associative, three-invariant, isotropic/kinematic hardening cap plasticity model for geomaterials: Part I. Small strain

2010 ◽  
Vol 35 (2) ◽  
pp. 201-225 ◽  
Author(s):  
R. A. Regueiro ◽  
C. D. Foster
Keyword(s):  
Bifurcation Analysis ◽  
Kinematic Hardening ◽  
Small Strain ◽  
Plasticity Model ◽  
Cap Plasticity

An Eight-Node Hexahedral Finite Element with Rotational DOFs for Elastoplastic Applications

2019 ◽  
Vol 11 (1) ◽  
pp. 54-66
Author(s):  
Ayoub Ayadi ◽  
Kamel Meftah ◽  
Lakhdar Sedira ◽  
Hossam Djahara
Keyword(s):  
Mathematical Model ◽  
Finite Element ◽  
Plastic Zone ◽  
Displacement Vector ◽  
Small Strain ◽  
Benchmark Problems ◽  
Plasticity Model ◽  
Vector Approximation ◽  
Calculation Code

Abstract In this paper, the earlier formulation of the eight-node hexahedral SFR8 element is extended in order to analyze material nonlinearities. This element stems from the so-called Space Fiber Rotation (SFR) concept which considers virtual rotations of a nodal fiber within the element that enhances the displacement vector approximation. The resulting mathematical model of the proposed SFR8 element and the classical associative plasticity model are implemented into a Fortran calculation code to account for small strain elastoplastic problems. The performance of this element is assessed by means of a set of nonlinear benchmark problems in which the development of the plastic zone has been investigated. The accuracy of the obtained results is principally evaluated with some reference solutions.

Prediction of Fatigue Crack Initiation Life Based on the Extended Cyclic Plasticity Model

2012 ◽  
Author(s):  
Seiichiro Tsutsumi
Keyword(s):  
Cyclic Loading ◽  
Kinematic Hardening ◽  
Fatigue Crack Initiation ◽  
Fatigue Cracking ◽  
Carbon Steels ◽  
Cyclic Plasticity ◽  
Plasticity Model ◽  
Hardening Law ◽  
Crack Initiation Life ◽  
Cyclic Plasticity Model

In order to simulate mechanical fatigue phenomena under macroscopically elastic condition, the plastic stretching within a yield surface has to be described, whilst the plastic strain is induced remarkably as the stress approaches the dominant yielding state. In this study, a phenomenological plasticity model, proposed for the description of the cyclic loading behavior observed for typical carbon steels during the high-cycle fatigue subjected to stresses lower than the yield stress, is applied for the prediction of fatigue initiation life. The model is formulated based on the unconventional plasticity model and is applied for materials obeying isotropic and kinematic hardening law. The mechanical responses under cyclic loading conditions are examined briefly. Finally, the initiation life of fatigue cracking is discussed based on the proposed model with the damage counting parameter.

Comparison of two transformation plasticity models, with and without kinematic hardening for bainitic transformation under non-proportional loading path

2004 ◽  
Vol 120 ◽  
pp. 177-183
Author(s):  
M. Coret ◽  
A. Combescure
Keyword(s):  
Biaxial Loading ◽  
Kinematic Hardening ◽  
Complex Loading ◽  
Bainitic Transformation ◽  
Loading Path ◽  
Experimental Setup ◽  
Plasticity Model ◽  
Transformation Plasticity ◽  
Proportional Loading

This article deals with the multiphasic, anisothermal behaviour of 16MND5 steel under complex loading. We are focusing more specifically on the modelization of transformation plasticity induced by proportional or nonproportional biaxial loading during the bainitic transformation. A first part recalls Leblond's transformation plasticity model with or without hardening. We also describe the experimental setup used to get transformation plasticity tests under tension-torsion loadings. The last part deals with the TrIP models (with or without hardening) identification and their use for the nonproportional tests simulation.

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