A statistical assessment of ductile damage in 304L stainless steel resolved using X-ray computed tomography

Simulations utilizing local constitutive equations for strain‐softening materials are known to be pathologically mesh‐dependent. The rational solution to this problem is to use nonlocal material models. In this paper, we discuss the application of the integral‐based approach to the simulation of non‐local damage accumulation and fracture. Various combinations of non‐localities with common spatial symmetries are analysed analytically and numerically. The symmetries include the plane strain and the axisymmetric cases, as well as the presence of symmetry planes and cyclic symmetries. Although not a symmetry, the practically important case of thin plates is also analysed. We show that the delocalization procedure should be executed using symmetry‐adapted averaging kernels. For the considered spatial symmetries, analytical closed‐form expressions are obtained. Moreover, a new easy‐to‐use averaging kernel is suggested, the same for 3D, plane strain and plane stress applications. To showcase the delocalization procedures, we consider a ductile damage model, based on the multiplicative decomposition of the deformation gradient, as well as hyperelastic relations between stresses and strains. FEM solutions for a series of problems are presented, including graduate damage accumulation, crack initiation and fracture.

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“…[38,39]). Especially large body of information is provided by the synchrotronbased in situ X-ray computed tomography [40][41][42].…”

Section: Discussionmentioning

confidence: 99%

“…Remark 7. The normalisation step(40) related to 𝐵𝑜𝑑𝑦 + is needed, since infinite-body kernels appear in Equation(39). However, another sequence of computational steps is possible, also leading to the same kernel 𝛼 symmetry plane .…”

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confidence: 99%

Integral‐based averaging with spatial symmetries for non‐local damage modelling

Shutov

Klyuchantsev

2022

Z Angew Math Mech

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“…The issue of selecting the best possible technological process of forging austenitic steels for the purpose of achieving forgings, which can boast high mechanical properties and which are free of internal defects, constitutes an extremely significant problem [ 5 , 6 ]. From a technological point of view, which is particularly significant, is the state of strain and stress in the axial zone of a forged material, determined, first and foremost, by the shape of applied anvils, and also by the values of technological parameters.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Deformation, the Stressed State and Fracture Predictions for Cogging Shafts with Convex Anvils

Kukuryk

2021

Materials

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In this article, a new manner of cogging a forging (type: shaft), consisting in the application of a two-stage process composed of preliminary shaping in convex anvils, and also principal forging in flat or shaped anvils, is presented. A new manner of forging brought about the formation of favorable conditions for achieving the maximum values of the effective strain in the central part of a forging, accompanied by a simultaneous absence of tensile stresses, which was exerting a favorable influence upon reforging the axial zone of an ingot. What was determined, was the effective geometric shapes of convex anvils; the efficiency of different technological parameters in the case of the intensity of reforging the axial zone of an ingot was analyzed as well. The investigations were complemented by means of predicting the formation of ductile fractures in the course of forging with the application of three different ductile fracture criteria. The comparison of theoretical and experimental outcomes of investigations indicates a good level of being commensurate.

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A Comparative Analysis of Two Approaches to Nonlocal Ductile Damage Modeling

Klyuchantsev

Shutov

2022

J Eng Phys Thermophy

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A statistical assessment of ductile damage in 304L stainless steel resolved using X-ray computed tomography

Cited by 8 publications

References 18 publications

Integral‐based averaging with spatial symmetries for non‐local damage modelling

Integral‐based averaging with spatial symmetries for non‐local damage modelling

Analysis of Deformation, the Stressed State and Fracture Predictions for Cogging Shafts with Convex Anvils

A Comparative Analysis of Two Approaches to Nonlocal Ductile Damage Modeling

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