Consistent linearization and finite element implementation of an incrementally objective canonical form return mapping algorithm for large deformation inelasticity

Seifert, Thomas; Maier, Gerhard

doi:10.1002/nme.2270

Cited by 9 publications

(3 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This means that the stress is computed on the basis of already rotated quantities. The specification of co-rotational frames can be found, for example, in Felippa (2000), Souza (2000), Hughes and Wingets (1980) or Seifert and Maier (2008) and Simo and Huges (2000). This approach consists of two steps for the stress update.…”

Section: Primary Framework Of the Stress Update In Usermatmentioning

confidence: 98%

Amplitude dependence of filler-reinforced rubber: Experiments, constitutive modelling and FEM – Implementation

Rendek

Lion

2010

International Journal of Solids and Structures

View full text Add to dashboard Cite

a b s t r a c tThe focus of the present paper is the experimental investigation, the constitutive representation and the numerical simulation of the amplitude dependence of filler-reinforced elastomers. A standard way to investigate the dynamic properties of viscoelastic materials is via the dynamic modulus which is obtained from stress signals due to harmonic strain excitations. Based on comprehensive experimental data, an amplitude-dependent constitutive model of finite viscoelasticity is developed. The model is based on a modified Maxwell chain with process-dependent viscosities which depend on additional internal state variables. The evaluation of this thermodynamically consistent model is possible in both the time domain, via stress-time signals, and in the frequency domain, via the dynamic modulus. This property is very profitable for the parameter identification process. The implementation of the constitutive model into the commercial finite element code ANSYS with the user-programmable feature (UPF) USERMAT for large deformations in updated Lagrange formulation is presented. This implementation allows simulating the time-dependent behaviour of rubber components under arbitrary transient loading histories. Due to physical and geometrical nonlinearities, these simulations are not possible in the frequency domain. But, transient FEM computations of large loading histories are sometimes not possible in an acceptable time. In the context of the parameter identification the fundamental ideas are presented, how this problem has been solved. Transient FEM simulations of real rubber components are also shown to visualize the properties of the model in the context of the transient material behaviour.

show abstract

Section: Primary Framework Of the Stress Update In Usermatmentioning

confidence: 98%

Amplitude dependence of filler-reinforced rubber: Experiments, constitutive modelling and FEM – Implementation

Rendek

Lion

2010

International Journal of Solids and Structures

View full text Add to dashboard Cite

show abstract

“…In general, deformation under non-isothermal loading can be predicted well by the adjusted models, except for the pronounced cyclic hardening observed in the low temperature part of the TMF cycles. For component simulations, the Chaboche model was implemented in ABAQUS/Standard using the implicit algorithms described in [8,9].…”

Section: Predictions Of the Adjusted Chaboche Model At Non-isothermalmentioning

confidence: 99%

Time and Temperature Dependent Cyclic Plasticity and Fatigue Crack Growth of the Nickel-Base Alloy617B – Experiments and Models

Maier

Riedel

Seifert

et al. 2011

AMR

View full text Add to dashboard Cite

Isothermal low cycle fatigue and thermomechanical fatigue tests are performed on Alloy617B in the solution-annealed and stabilized condition at temperatures between room temperature and 900 °C. In addition, the replica technique is applied to study the growth of microcracks. The Chaboche model is found to describe the cyclic viscoplastic behavior of both heats, except the pronounced cyclic hardening in the low-temperature branches of the TMF tests. A lifetime model based on the cyclic crack-tip opening displacement and the cyclic J integral is used to describe the measured lifetimes and crack growth rates. However, the description is not fully consistent, since the data for room temperature and for temperatures above 400 °C fall into two separate scatter bands.

show abstract

“…Conceptually, such schemes are similar to the arc‐length methods that are used with global finite element (FE) solvers in which a constraint equation is solved to restrict load (and/or displacement) increments thereby improving robustness. Although more common with explicit stress integration schemes, these substepping approaches have been adopted by Yoon and colleagues , Seifert et al , and Rabahallah and coworkers for a wide variety of constitutive models. Such methods, however, mitigate some of the advantages of a fully implicit scheme and introduce additional complexity to the ensuing implementation.…”

Section: Introductionmentioning

confidence: 99%

Trust‐region based return mapping algorithm for implicit integration of elastic‐plastic constitutive models

Lester

Scherzinger

2017

Numerical Meth Engineering

View full text Add to dashboard Cite

Summary A new method for the solution of the non‐linear equations forming the core of constitutive model integration is proposed. Specifically, the trust‐region method that has been developed in the numerical optimization community is successfully modified for use in implicit integration of elastic‐plastic models. Although attention here is restricted to these rate‐independent formulations, the proposed approach holds substantial promise for adoption with models incorporating complex physics, multiple inelastic mechanisms, and/or multiphysics. As a first step, the non‐quadratic Hosford yield surface is used as a representative case to investigate computationally challenging constitutive models. The theory and implementation are presented, discussed, and compared with other common integration schemes. Multiple boundary value problems are studied and used to verify the proposed algorithm and demonstrate the capabilities of this approach over more common methodologies. Robustness and speed are then investigated and compared with existing algorithms. Through these efforts, it is shown that the utilization of a trust‐region approach leads to superior performance versus a traditional closest‐point projection Newton–Raphson method and comparable speed and robustness to a line search augmented scheme. Copyright © 2017 John Wiley & Sons, Ltd.

show abstract

Consistent linearization and finite element implementation of an incrementally objective canonical form return mapping algorithm for large deformation inelasticity

Cited by 9 publications

References 25 publications

Amplitude dependence of filler-reinforced rubber: Experiments, constitutive modelling and FEM – Implementation

Amplitude dependence of filler-reinforced rubber: Experiments, constitutive modelling and FEM – Implementation

Time and Temperature Dependent Cyclic Plasticity and Fatigue Crack Growth of the Nickel-Base Alloy617B – Experiments and Models

Trust‐region based return mapping algorithm for implicit integration of elastic‐plastic constitutive models

Contact Info

Product

Resources

About