A viscoplastic material model of overstress type with a non-quadratic yield function

Panhans, S.; Kreißig, R.

doi:10.1016/j.euromechsol.2005.08.002

Cited by 7 publications

(2 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The applicability of different constitutive assumptions was analyzed in [20] concerning the description of the distorted yield surface. The recent development of this approach is presented in [6,13,5,17,18].…”

Section: Introductionmentioning

confidence: 99%

On the Phenomenologicalmodelling of Yield Surface Distortion

Shutov¹,

Ihlemann²

2014

Proceedings of 10th World Congress on Computational Mechanics

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

On the Phenomenologicalmodelling of Yield Surface Distortion

Shutov¹,

Ihlemann²

2014

Proceedings of 10th World Congress on Computational Mechanics

View full text Add to dashboard Cite

“…The thermodynamic consistency was numerically tested by François. Next, within the approach presented by Panhans (2006) as well as Panhans and Kreißig (2006), the distortional hardening was captured with the help of a tensorvalued internal variable of the 2nd rank. The form of the yield surface is given by the so-called limaçon of Pascal.…”

Section: Introductionmentioning

confidence: 99%

A viscoplasticity model with an enhanced control of the yield surface distortion

Shutov

Ihlemann

2012

International Journal of Plasticity

View full text Add to dashboard Cite

A new model of metal viscoplasticity, which takes combined isotropic, kinematic, and distortional hardening into account, is presented. The basic modeling assumptions are illustrated using a new two-dimensional rheological analogy. This demonstrative rheological model is used as a guideline for the construction of constitutive relations. The nonlinear kinematic hardening is captured using the well-known Armstrong-Frederick approach. The distortion of the yield surface is described with the help of a so-called distortional backstress. A distinctive feature of the model is that any smooth convex saturated form of the yield surface which is symmetric with respect to the loading direction can be captured. In particular, an arbitrary sharpening of the saturated yield locus in the loading direction combined with a flattening on the opposite side can be covered. Moreover, the yield locus evolves smoothly and its convexity is guaranteed at each hardening stage. A strict proof of the thermodynamic consistency is provided. Finally, the predictive capabilities of the material model are verified using the experimental data for a very high work hardening annealed aluminum alloy 1100 Al.

show abstract

A phenomenological model of finite strain viscoplasticity with distortional hardening

2011

View full text Add to dashboard Cite

In this paper we suggest a thermodynamically consistent approach to the simulation of a rate dependent material response at finite strains. The nonlinear mechanical phenomena which are covered by the proposed material model include distortional, kinematic, and isotropic hardening. Firstly, we present a new two‐dimensional rheological model of distortional hardening, which predicts the yield curve in the stress space to be a limaçon of Pascal. Such effects like the distortion of the yield surface in the stress space and its orientation depending on the loading path are captured by the rheological model in a vivid way. Next, the rheological model serves as a guideline for the construction of the constitutive equations. In particular, the kinematic assumptions, the ansatz for the free energy, and the form of the yield function are motivated by the rheological model. Further, two types of flow rules are considered in this study: a normality rule and a radial rule, both thermodynamically consistent. Moreover, we formulate explicitly the constraints on the material parameters, which guarantee the convexity of the yield surface. Furthermore, implicit time‐stepping methods are considered which exactly preserve the incompressibility of the inelastic flow. Finally, the basic features of the predicted material response are illustrated by a series of numerical simulations. In particular, the simulation results are compared to the real experimental data.

show abstract

A viscoplastic material model of overstress type with a non-quadratic yield function

Cited by 7 publications

References 10 publications

On the Phenomenologicalmodelling of Yield Surface Distortion

On the Phenomenologicalmodelling of Yield Surface Distortion

A viscoplasticity model with an enhanced control of the yield surface distortion

A phenomenological model of finite strain viscoplasticity with distortional hardening

Contact Info

Product

Resources

About