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Authors = Michael Vormwald ORCID = 0000-0002-4277-785X

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37 pages, 9075 KiB  
Article
On Scaled Normal Stresses in Multiaxial Fatigue and Their Exemplary Application to Ductile Cast Iron
by Michael Wächter, Alexander Linn, Ralf Wuthenow, Alfons Esderts, Christian Gaier, Jan Kraft, Carl Fällgren and Michael Vormwald
Appl. Mech. 2022, 3(1), 259-295; https://doi.org/10.3390/applmech3010018 - 8 Mar 2022
Cited by 13 | Viewed by 4703
Abstract
The approaches used to calculate the fatigue life of components must inevitably consider multiaxial stresses. Compared to proportional loading, the calculation of nonproportional loading is particularly challenging, especially since different materials exhibit the effects of nonproportional hardening and shifts in fatigue life. In [...] Read more.
The approaches used to calculate the fatigue life of components must inevitably consider multiaxial stresses. Compared to proportional loading, the calculation of nonproportional loading is particularly challenging, especially since different materials exhibit the effects of nonproportional hardening and shifts in fatigue life. In this paper, the critical plane approach of scaled normal stresses, first proposed by Gaier and Dannbauer and later published in a modified version by Riess et al., is investigated in detail. It is shown that, on the one hand, compatibilities exist or can be established with known proportional strength criteria that can account for the varying ductility of different materials. Furthermore, it is demonstrated that the scaled normal stress approach can be formulated in such a way that different strength criteria can be used therein. As an example, the generally formulated approach for scaled normal stresses is applied to test results from ductile cast iron material EN-GJS-500-14. Different correction factors accounting for nonproportional loading are investigated. Through appropriate parameterization of one of the studied corrections, proportional and nonproportional test results were observed to fall within one common scatter band. Full article
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16 pages, 5198 KiB  
Article
Thermodynamics and Analysis of Predicted Responses of a Phase Field Model for Ductile Fracture
by Aris Tsakmakis and Michael Vormwald
Materials 2021, 14(19), 5842; https://doi.org/10.3390/ma14195842 - 6 Oct 2021
Cited by 10 | Viewed by 2117
Abstract
The fundamental idea in phase field theories is to assume the presence of an additional state variable, the so-called phase field, and its gradient in the general functional used for the description of the behaviour of materials. In linear elastic fracture mechanics the [...] Read more.
The fundamental idea in phase field theories is to assume the presence of an additional state variable, the so-called phase field, and its gradient in the general functional used for the description of the behaviour of materials. In linear elastic fracture mechanics the phase field is employed to capture the surface energy of the crack, while in damage mechanics it represents the variable of isotropic damage. The present paper is concerned, in the context of plasticity and ductile fracture, with a commonly used phase field model in fracture mechanics. On the one hand, an appropriate framework for thermodynamical consistency is outlined. On the other hand, an analysis of the model responses for cyclic loading conditions and pure kinematic or pure isotropic hardening are shown. Full article
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