Large strain integral-based nonlocal simulation of ductile damage with application to mode-I fracture

Shutov, A. V.; Klyuchantsev, Vladislav S.

doi:10.1016/j.ijplas.2021.103061

Cited by 12 publications

(18 citation statements)

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“…In this section, we summarize constitutive equations of the nonlocal damage model, proposed in Shutov and Klyuchantsev [16]. This model contains the classical model of Simo and Miehe [23] as a special case.…”

Section: Non-local Ductile Damage Model On the Reference Configurationmentioning

confidence: 99%

“…where 𝛾(Φ) is a material function and 𝛽 0 > 0 is a material parameter. The damage-related deterioration of elastic and plastic properties is described by equations from Shutov and Klyuchantsev [16]:…”

Section: Non-local Ductile Damage Model On the Reference Configurationmentioning

confidence: 99%

“…where PCR > 0 is a material parameter, called porosity-continuity relation. To invoke the damage trapping effect, the material model is delocalized by applying the averaging operator to the porosity rate Ψ [16].…”

Section: Non-local Ductile Damage Model On the Reference Configurationmentioning

confidence: 99%

“…In other words, the averaging is carried out on the reference configuration. The validation of this non-local model based on actual experimental data is presented in [16,31].…”

Section: Non-local Ductile Damage Model On the Reference Configurationmentioning

confidence: 99%

“…The derivation of Equation (67) 2 is explained in [16]; this formula is based on explicit solution for implicit time stepping, reported by Shutov et al [32]. Finally, using Equation (60), at each Gauss integration point, we compute the current porosity rate…”

Section: Numerical Proceduresmentioning

confidence: 99%

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

Shutov

Klyuchantsev

2022

Z Angew Math Mech

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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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Section: Non-local Ductile Damage Model On the Reference Configurationmentioning

confidence: 99%

Section: Non-local Ductile Damage Model On the Reference Configurationmentioning

confidence: 99%

Section: Non-local Ductile Damage Model On the Reference Configurationmentioning

confidence: 99%

“…In other words, the averaging is carried out on the reference configuration. The validation of this non-local model based on actual experimental data is presented in [16,31].…”

Section: Non-local Ductile Damage Model On the Reference Configurationmentioning

confidence: 99%

Section: Numerical Proceduresmentioning

confidence: 99%

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

Shutov

Klyuchantsev

2022

Z Angew Math Mech

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Uniaxial ratcheting and ductile damage in structural steel with a stochastic spreading of experimental data

Shutov,

Kaygorodtseva,

Zakharchenko

et al. 2024

Z Angew Math Mech

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This paper provides new experimental data regarding inelastic strain accumulation in structural steel samples. The samples are subjected to stress‐controlled cyclic loading with positive mean stress within each cycle; the loading blocks are combined in a complex pattern to study the effect of load history. A large‐strain ratcheting model is constructed based on a material law with a nonlinear kinematic and isotropic hardening. A new rule of ductile damage accumulation is suggested and a class of models with hardening stagnation is introduced. We show that models which include the hardening stagnation describe the experimental data more accurately. Unfortunately, due to a large spread of mechanical properties from sample to sample, it is impossible to describe the entire set of experiments using a single set of parameters. To address this challenge, we have developed novel mathematical tools for parameter identification in the context of stochastic variations in mechanical properties. These tools include the concept of a collar of model responses and the notion of protrusion. We propose an extended parameter identification problem that rethinks the standard error functional. We demonstrate that the extended identification problem effectively accounts for the large spread observed in experimental data when applied to the developed ratcheting model.

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