Towards Deterministic Computation of Internal Stresses in Additively Manufactured Materials under Fatigue Loading: Part I

The ongoing studies of the influence of internal defects on fatigue strength of additively manufactured metals adopted an internal crack or notch-like model at which the threshold stress intensity factor is the driving mechanism of fatigue failure. The current article highlights a shortcoming of thi...

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Main Authors: Mustafa Awd, Mhd Fateh Labanie, Kerstin Moehring, Ali Fatemi, Frank Walther
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/13/10/2318
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author Mustafa Awd
Mhd Fateh Labanie
Kerstin Moehring
Ali Fatemi
Frank Walther
author_facet Mustafa Awd
Mhd Fateh Labanie
Kerstin Moehring
Ali Fatemi
Frank Walther
author_sort Mustafa Awd
collection DOAJ
description The ongoing studies of the influence of internal defects on fatigue strength of additively manufactured metals adopted an internal crack or notch-like model at which the threshold stress intensity factor is the driving mechanism of fatigue failure. The current article highlights a shortcoming of this approach and offers an alternative based on X-ray microcomputed tomography and cyclic plasticity with a hybrid formulation of Chaboche and Armstrong–Frederick material laws. The presented tessellation and geometrical transformation scheme enabled a significantly more realistic morphological representation of internal defects that yielded a cyclic strain within 2% of the experimental values. This means that cyclic plasticity models have an accurate prediction of mechanical properties without repeating a full set of experiments for additively manufactured arbitrary microstructures. The coupling with a material law that is oriented towards the treatment of cyclic hardening and softening enabled more accurate computation of internal stresses under cyclic loading than ever before owing to the maturity of tessellation and numerical tools since then. The resulting stress–strain distributions were used as input to the Fatemi–Socie damage model, based on which a successful calculation of fatigue lifetime became possible. Furthermore, acting stresses on the internal pores were shown to be more than 450% concerning the applied remote stress amplitude. The results are a pretext to a scale bridging numerical solution that accounts for the short crack formation stage based on microstructural damage.
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spelling doaj.art-d850ee95ab8049ec935e7ea4a002f55c2023-11-20T00:50:50ZengMDPI AGMaterials1996-19442020-05-011310231810.3390/ma13102318Towards Deterministic Computation of Internal Stresses in Additively Manufactured Materials under Fatigue Loading: Part IMustafa Awd0Mhd Fateh Labanie1Kerstin Moehring2Ali Fatemi3Frank Walther4Department of Materials Test Engineering (WPT), TU Dortmund University, Baroper Str. 303, D-44227 Dortmund, GermanyDepartment of Materials Test Engineering (WPT), TU Dortmund University, Baroper Str. 303, D-44227 Dortmund, GermanyDepartment of Materials Test Engineering (WPT), TU Dortmund University, Baroper Str. 303, D-44227 Dortmund, GermanyDepartment of Mechanical Engineering, University of Memphis, Memphis, TN 38152, USADepartment of Materials Test Engineering (WPT), TU Dortmund University, Baroper Str. 303, D-44227 Dortmund, GermanyThe ongoing studies of the influence of internal defects on fatigue strength of additively manufactured metals adopted an internal crack or notch-like model at which the threshold stress intensity factor is the driving mechanism of fatigue failure. The current article highlights a shortcoming of this approach and offers an alternative based on X-ray microcomputed tomography and cyclic plasticity with a hybrid formulation of Chaboche and Armstrong–Frederick material laws. The presented tessellation and geometrical transformation scheme enabled a significantly more realistic morphological representation of internal defects that yielded a cyclic strain within 2% of the experimental values. This means that cyclic plasticity models have an accurate prediction of mechanical properties without repeating a full set of experiments for additively manufactured arbitrary microstructures. The coupling with a material law that is oriented towards the treatment of cyclic hardening and softening enabled more accurate computation of internal stresses under cyclic loading than ever before owing to the maturity of tessellation and numerical tools since then. The resulting stress–strain distributions were used as input to the Fatemi–Socie damage model, based on which a successful calculation of fatigue lifetime became possible. Furthermore, acting stresses on the internal pores were shown to be more than 450% concerning the applied remote stress amplitude. The results are a pretext to a scale bridging numerical solution that accounts for the short crack formation stage based on microstructural damage.https://www.mdpi.com/1996-1944/13/10/2318additive manufacturingmicrocomputed tomography (µ-CT)fatigue loadingcyclic plasticityFatemi–Socie damage parameter
spellingShingle Mustafa Awd
Mhd Fateh Labanie
Kerstin Moehring
Ali Fatemi
Frank Walther
Towards Deterministic Computation of Internal Stresses in Additively Manufactured Materials under Fatigue Loading: Part I
Materials
additive manufacturing
microcomputed tomography (µ-CT)
fatigue loading
cyclic plasticity
Fatemi–Socie damage parameter
title Towards Deterministic Computation of Internal Stresses in Additively Manufactured Materials under Fatigue Loading: Part I
title_full Towards Deterministic Computation of Internal Stresses in Additively Manufactured Materials under Fatigue Loading: Part I
title_fullStr Towards Deterministic Computation of Internal Stresses in Additively Manufactured Materials under Fatigue Loading: Part I
title_full_unstemmed Towards Deterministic Computation of Internal Stresses in Additively Manufactured Materials under Fatigue Loading: Part I
title_short Towards Deterministic Computation of Internal Stresses in Additively Manufactured Materials under Fatigue Loading: Part I
title_sort towards deterministic computation of internal stresses in additively manufactured materials under fatigue loading part i
topic additive manufacturing
microcomputed tomography (µ-CT)
fatigue loading
cyclic plasticity
Fatemi–Socie damage parameter
url https://www.mdpi.com/1996-1944/13/10/2318
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