Extraordinary Response of H-Charged and H-Free Coherent Grain Boundaries in Nickel to Multiaxial Loading

The cohesive strength of <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>3, <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </sem...

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Main Authors: Petr Šesták, Miroslav Černý, Zhiliang Zhang, Jaroslav Pokluda
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Crystals
Subjects:
Online Access:https://www.mdpi.com/2073-4352/10/7/590
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author Petr Šesták
Miroslav Černý
Zhiliang Zhang
Jaroslav Pokluda
author_facet Petr Šesták
Miroslav Černý
Zhiliang Zhang
Jaroslav Pokluda
author_sort Petr Šesták
collection DOAJ
description The cohesive strength of <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>3, <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>5, and <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>11 grain boundaries (GBs) in clean and hydrogen-segregated fcc nickel was systematically studied as a function of the superimposed transverse biaxial stresses using ab initio methods. The obtained results for H-free GBs revealed a quite different response of the coherent twinning boundary <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>3 to the applied transverse stresses in comparison to the other GB types. While the cohesive strength of <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>5 and <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>11 GBs increased with increasing level of tensile transverse stresses, the strength of <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>3 GB remained constant for any applied levels of transverse stresses. In the case of GBs with segregated hydrogen, the cohesive strength of <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>3 was distinctly reduced for all levels of transverse stresses, while the strength reduction of <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>5 and <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>11 GBs was significant only for a nearly isotropic (hydrostatic) triaxial loading. This extraordinary response explains a high susceptibility of <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>3 GBs to crack initiation, as recently reported in an experimental study. Moreover, a highly triaxial stress at the fronts of microcracks initiated at <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>3 boundaries caused a strength reduction of adjacent high-energy grain boundaries which thus became preferential sites for further crack propagation.
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spelling doaj.art-58664945c4384393b451693cbfb58b162023-11-20T06:13:11ZengMDPI AGCrystals2073-43522020-07-0110759010.3390/cryst10070590Extraordinary Response of H-Charged and H-Free Coherent Grain Boundaries in Nickel to Multiaxial LoadingPetr Šesták0Miroslav Černý1Zhiliang Zhang2Jaroslav Pokluda3Central European Institute of Technology, CEITEC BUT, Brno University of Technology, Purkyňova 123, CZ–612 00 Brno, Czech RepublicCentral European Institute of Technology, CEITEC BUT, Brno University of Technology, Purkyňova 123, CZ–612 00 Brno, Czech RepublicFaculty of Engineering, Norwegian University of Science and Technology (NTNU), Rich. Birkelandsvei 1A, 7491 Trondheim, NorwayCentral European Institute of Technology, CEITEC BUT, Brno University of Technology, Purkyňova 123, CZ–612 00 Brno, Czech RepublicThe cohesive strength of <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>3, <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>5, and <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>11 grain boundaries (GBs) in clean and hydrogen-segregated fcc nickel was systematically studied as a function of the superimposed transverse biaxial stresses using ab initio methods. The obtained results for H-free GBs revealed a quite different response of the coherent twinning boundary <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>3 to the applied transverse stresses in comparison to the other GB types. While the cohesive strength of <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>5 and <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>11 GBs increased with increasing level of tensile transverse stresses, the strength of <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>3 GB remained constant for any applied levels of transverse stresses. In the case of GBs with segregated hydrogen, the cohesive strength of <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>3 was distinctly reduced for all levels of transverse stresses, while the strength reduction of <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>5 and <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>11 GBs was significant only for a nearly isotropic (hydrostatic) triaxial loading. This extraordinary response explains a high susceptibility of <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>3 GBs to crack initiation, as recently reported in an experimental study. Moreover, a highly triaxial stress at the fronts of microcracks initiated at <inline-formula> <math display="inline"> <semantics> <mo>Σ</mo> </semantics> </math> </inline-formula>3 boundaries caused a strength reduction of adjacent high-energy grain boundaries which thus became preferential sites for further crack propagation.https://www.mdpi.com/2073-4352/10/7/590ab initio calculationshydrogen embrittlementgrain boundarycohesive strengthmultiaxial loading
spellingShingle Petr Šesták
Miroslav Černý
Zhiliang Zhang
Jaroslav Pokluda
Extraordinary Response of H-Charged and H-Free Coherent Grain Boundaries in Nickel to Multiaxial Loading
Crystals
ab initio calculations
hydrogen embrittlement
grain boundary
cohesive strength
multiaxial loading
title Extraordinary Response of H-Charged and H-Free Coherent Grain Boundaries in Nickel to Multiaxial Loading
title_full Extraordinary Response of H-Charged and H-Free Coherent Grain Boundaries in Nickel to Multiaxial Loading
title_fullStr Extraordinary Response of H-Charged and H-Free Coherent Grain Boundaries in Nickel to Multiaxial Loading
title_full_unstemmed Extraordinary Response of H-Charged and H-Free Coherent Grain Boundaries in Nickel to Multiaxial Loading
title_short Extraordinary Response of H-Charged and H-Free Coherent Grain Boundaries in Nickel to Multiaxial Loading
title_sort extraordinary response of h charged and h free coherent grain boundaries in nickel to multiaxial loading
topic ab initio calculations
hydrogen embrittlement
grain boundary
cohesive strength
multiaxial loading
url https://www.mdpi.com/2073-4352/10/7/590
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