Fatigue phase-field damage modeling of rubber using viscous dissipation: Crack nucleation and propagation

Loew, Pascal Juergen; Peters, Bernhard; Beex, Lars

doi:10.1016/j.mechmat.2019.103282

Cited by 59 publications

(34 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…whereĖ,Ḋ andṖ ext denote the internally stored energy, dissipated energy and the externally supplied energy per time unit, respectively. Fatigue damage is, on a pure phenomenological basis, described by fatigue damage sourceṘ ( [1]).…”

Section: Fatigue Phase-field Damage Modelmentioning

confidence: 99%

“…Accurate simulations to identify the cycle-to-failure number not only reveal the best design but also reduce maintenance efforts and associated costs. Fatigue simulations require both a failure model able to accumulate damage due to repetitive loading and fast solution strategies for cyclic loading ( [1]).…”

Section: Introductionmentioning

confidence: 99%

“…Lo et al [30] defined viscous damage dissipation so that crack growth under cyclic loading occurs. Loew et al [1] presented a model for finite strains and validated two-dimensional simulations with experimental results.…”

Section: Introductionmentioning

confidence: 99%

“…The aim of this contribution is, therefore, to redevelop explicit and implicit cycle jump schemes from literature for fatigue phase-field simulations. We adopt the acceleration scheme for our earlier fatigue phase-field model of [1], modified here to incorporate a new fatigue damage source.…”

Section: Introductionmentioning

confidence: 99%

“…• A new (rate-independent) fatigue damage source is introduced in the framework of Loew et al [1], which prohibits fatigue crack growth due to compressive stresses.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Accelerating fatigue simulations of a phase-field damage model for rubber

Loew

Poh

Peters

et al. 2020

Computer Methods in Applied Mechanics and Engineering

Self Cite

View full text Add to dashboard Cite

Phase-field damage models are able to describe crack nucleation as well as crack propagation and coalescence without additional technicalities, because cracks are treated in a continuous, spatially finite manner. Previously, we have developed a phase-field model to capture the rate-dependent failure of rubber, and we have further enhanced it to describe failure due to cyclic loading. Although the model accurately describes fatigue failure, the associated cyclic simulations are slow. Therefore, this contribution presents an acceleration scheme for cyclic simulations of our previously introduced phase-field damage model so that the simulation speed is increased to facilitate large-scale simulations of industrially relevant problems. We formulate an explicit and implicit cycle jump method, which, depending on the selected jump size, reduces the calculation time up to 99.5%. To circumvent the manual tuning of the jump size, we also present an adaptive jump size selection procedure. Thanks to the implicit adaptive scheme, all material parameters are identified from experiments, which include fatigue crack nucleation and crack growth. Finally, the model and its parameters are validated with additional measurements of the fatigue crack growth rate.

show abstract

Section: Fatigue Phase-field Damage Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…• A new (rate-independent) fatigue damage source is introduced in the framework of Loew et al [1], which prohibits fatigue crack growth due to compressive stresses.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Accelerating fatigue simulations of a phase-field damage model for rubber

Loew

Poh

Peters

et al. 2020

Computer Methods in Applied Mechanics and Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

Employing phase‐field descriptions of cohesive zone placements in cohesive fracture simulations

Roth

Kiefer

2022

Numerical Meth Engineering

View full text Add to dashboard Cite

Cohesive zone models suffer from the fundamental problem that potential crack paths must be determined beforehand. Phase-field models for (brittle) fracture, that have recently become immensely popular, are able to naturally handle essentially arbitrary crack patterns. However, due to their energetic nature, phase-field approaches have difficulties to predict, for example, crack nucleation in consequence of their lack of strength criteria which are naturally incorporated in the cohesive zone model. In this contribution, an alternative approach is presented that allows the embedding of established (cyclic) cohesive laws into phase-field modeling. Our work is conceptually in line with the ideas proposed by Verhoosel and de Borst in 2013. Since this novel approach to cohesive fracture is still in its infancy, many open challenges remain, of which the following are addressed in this article: (i) A strict separation between the description of the cohesive zone and the cohesive law itself is realized, (ii) the interplay between the different physical length-scales inherent to the formulation is carefully investigated in order to quantify the parameters introduced in the phase-field description, and (iii) an alternative finite element treatment is proposed, implemented, and tested that avoids spurious solutions for unstructured meshes. In this context, fatigue crack growth is simulated as a quantitative benchmark problem relevant to engineering applications.

show abstract

Parameter study on a phase‐field model for fatigue fracture

Seiler

Kästner

2021

Proc Appl Math and Mech

View full text Add to dashboard Cite

Recently, the problem of modelling fatigue fracture has been approached by the phase-field method. The approach of Seiler et al. [1] focusses on a reduction of computational cost by combing the phase-field method for fracture with a classic fatigue concept. For this model, we perform a parameter study analysing the influence of the fatigue degradation function and the crack propagation behaviour under cyclic loads with different mean loads. Eventually, we compare the results to a cyclic compact tension test.

show abstract

Fatigue phase-field damage modeling of rubber using viscous dissipation: Crack nucleation and propagation

Abstract: Fatigue phase-field damage modeling of rubber using viscous dissipation: Crack nucleation and propagation, Mechanics of Materials (2019), doi:

Cited by 59 publications

References 32 publications

Accelerating fatigue simulations of a phase-field damage model for rubber

Accelerating fatigue simulations of a phase-field damage model for rubber

Employing phase‐field descriptions of cohesive zone placements in cohesive fracture simulations

Parameter study on a phase‐field model for fatigue fracture

Contact Info

Product

Resources

About