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Cyclic Plasticity

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New Book in Cyclic Plasticity of Metals

New book: Cyclic Plasticity of Metals: Modeling Fundamentals and Applications (published by Elsevier)


Table of Contents:

Part One: Introduction

1 Experimental observations in cyclic loading of metals

2 Fundamentals of cyclic plasticity models


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SLM Ti-6Al-4V Plastic Anisotropy

Cyclic Plasticity and Microstructure of As-built SLM Ti-6Al-4V: The Effect of Build Orientation

D. Agius, K.I. Kourousis, C. Wallbrink, T. Song

Materials Science & Engineering: A (2017) -- Free access to the full article available at:

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Is the study of Low Cycle Fatigue (LCF) and cyclic plasticity useful for biomedical metals?

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I would like to open a discussion in relation to the following question:

"Is the study of Low Cycle Fatigue (LCF) and cyclic plasticity useful for biomedical metals?"

It appears that there is some level of misunderstanding around this issue. Thus, I would be very interested to find out the views of iMechanica community engineers and researchers working on biomedical metals and applications (i.e. implants) on this.

Isotropic hardening law

Hi all,

I have come across the two relations where aim to describe the isotropic hardening of a material

Power law:

R = Kεpn R is the variation in stress from initial yield, εp is the plastic strain where K is the strenght coefficient and n is the strain hardening exponent as observed in Ramberg Osgood equations.

Exponential law:

R = R∞ [1-e(-bεp)] where R∞ is the saturated value of the R variation, b is the rate at which the sauration is reached.


Prager's Hardening Rule

Hi all

I am currently investigating Prager hardening room which is stated as the simplist linear kinematic hardening rule. I was wondering if anyone has worked with this model and if so if you have managed to identify how to determine the constant used for the back stress equation


dα =C * dεp ( this is epsilon dot p which is the equivalent plastic strain)


Please can you let me know how to determine the constant C from experimental results? 

modelling cyclic plasticity in abaqus


I have to model cyclic plasticity in ABAQUS. The method to use ( this is as per ASME Boiler and Pressure Vessel code) involves only a single loading ( rather the load range has o be applied) and using a stabilized cyclic stress strain data expresssed in Ramberg Osgood format. The parameters for Ramberg Osgood are specified in the equation to be used fpr stabilized cyclic stress strain curve.

 Implementing the same in ABAQUS, gives me the following possibilities :


1) Hardening type Isotropic-which I believe should not be used with cyclic loading.

Plasticity Model for Autofretage of a Cylinder in ANSYS

Dear All,

I am analyzing a steel pressure vessel with autofretage effect in ANSYS. This effect brings the vessel steel fully plastic in the first load step.After the remval of the load in the second step,a permant strain and residual stress remains in the vessel.The residual stress develops compressive stress in the vessel.

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