Phase-field approach in elastoplastic solids: application of an iterative staggered scheme and its experimental validation

Azinpour, Erfan; Cruz, Daniel J.; de, Jose Cesar; Santos, Abel D.

doi:10.1007/s00466-021-02029-x

Cited by 17 publications

(7 citation statements)

References 45 publications

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“…In this section, the fracture of a stainless-steel plate specimen with thickness of 1.5mm is studied using the presented phase field model. The tensile experiment used for comparison is taken from literature [33]. The specimen was produced by additive manufacturing method using the austenitic stainless-steel 316L powder.…”

Section: Stainless-steel Plate Tensile Testmentioning

confidence: 99%

Phase Field Modeling of Crack Growth with Viscoplasticity

Shi¹,

Yu²,

Wang³

et al. 2023

Preprint

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Fracture of viscoplastic materials is a complex process due to its time-dependent and plastic responses. Numerical simulation for fracture plays a significant role in crack prediction and failure analysis. In recent years, the phase field model is becoming a competitive approach to predict crack growth and has been extended to inelastic materials such as elasto-plastic, viscoelastic and viscoplastic materials, etc. However, the contribution of inelastic energy to crack growth is seldom studied. For this reason, we implement the phase field model coupled with a viscoplastic constitutive in finite element framework, in which the elastic energy and inelastic energy are used as crack driving energy. The implicit algorithm for a viscoplastic constitutive is presented, this procedure is suitable for other viscoplastic constitutive relations. The strain rate effect, creep effect, stress relaxation effect and cyclic loading responses are tested using a single element model with different inelastic energy contributions; A titanium alloy plate specimen and a stainless-steel plate specimen under tension are studied compared with the experimental observations in existing literature. The results show that the above typical damage phenomenon and fracture process can be well reproduced; The inelastic energy significantly affects the force-displacement responses but has slight effect on the crack paths.

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Section: Stainless-steel Plate Tensile Testmentioning

confidence: 99%

Phase Field Modeling of Crack Growth with Viscoplasticity

Shi¹,

Yu²,

Wang³

et al. 2023

Preprint

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“…Following regularization of the energy density based on the Griffith theory of brittle fracture, Miehe et al [9] developed a phase-field framework based on thermodynamical considerations that could be readily implemented into the FE framework. Following the formulation in [8], we assume a solid with domain Ω ⊂ ℝ 𝑛𝑛 , 𝑛𝑛 ∈ [1,2,3] with external boundary 𝜕𝜕Ω ⊂ ℝ 𝑛𝑛−1 and 𝛤𝛤 as the crack interface. Throughout this work, we restrict our attention to the isothermal and small strain conditions where the total strain can be written based on the prescribed displacement field 𝒖𝒖 as:…”

Section: Phase-field Approach In Ductile Fracturementioning

confidence: 99%

“…This procedure uses standard FE shape functions and is implemented via user coding in ABAQUS through combination of UEL and UMAT user interfaces. For detailed information regarding the ABAQUS implementation of the present phase-field model, readers are referred to [8]. The Shear Fracture specimen described in the previous section is adopted herein for the numerical analysis of fracture.…”

Section: Numerical Analysismentioning

confidence: 99%

Fracture Characterization of Advanced High Strength Steel USS CR980XG3 Using Phase-Field Diffusive Approach in Ductile Solids

Azinpour

Jimenez²,

Santos

et al. 2022

KEM

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In this work, the utilization of a phase-field ductile fracture model in the failure analysis of advanced steels is investigated. The importance of advanced steels is potentially proven, for instance in automotive industry, due to its light weight, which entails the crucial role of fracture analysis in these structures. A third generation advanced high strength USS CR980XG3™️ AHSS material is considered to perform fracture analyses. For this purpose, the necessary data regarding the stress distribution and fracture patterns from digital image correlation tests are utilized for subsequent numerical experimentations.A recent phase-field model of ductile fracture is employed herein for the analysis of crack advance in this class of materials. The significance of the choice of material properties using this model is shown through the analysis of an experimental fracture benchmark called Shear Fracture specimen, through assessment of crack evolution and force diagrams.

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“…Iterative algorithms are commonly used in domains where unknown parameters exist. These parameters cannot be directly computed from known conditions such as the computation of nonlinear mechanics or discontinuous mechanics (Azinpour et al ., 2021). During the computation, an initial value is assigned to the unknown quantity.…”

Section: Introductionmentioning

confidence: 99%

An implicit solution method for digital construction of temperature fields in concrete structures based on point temperature measurements

Zhu,

Liu,

Zhang

2024

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PurposeAt present, using the finite element method is difficult to efficiently and accurately construct the temperature field of mass concrete based on temperature measurement points. Thus, there is a need to propose a method for improvement.Design/methodology/approachThis study developed an implicit finite element method that digitally constructs the temperature field of mass concrete based on temperature measurement data. That is, in the proposed method of this paper, the temperature of the measuring point is also one of the boundary conditions, which real-time corrects the calculation error.FindingsIn this method, during the digital construction of the temperature field, the computed temperature approaches the actual measured value at the point of measurement with increasing iteration steps. Using this method and sufficient temperature measurement data, the errors in calculation conditions (such as the boundary conditions, the initial casting temperature and material parameters) can be automatically corrected during the iterative computation process.Originality/valueThis new method can improve calculation accuracy and allows the digitally constructed temperature field to converge to its true value with sufficient measurement data.

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Phase-field approach in elastoplastic solids: application of an iterative staggered scheme and its experimental validation

Cited by 17 publications

References 45 publications

Phase Field Modeling of Crack Growth with Viscoplasticity

Phase Field Modeling of Crack Growth with Viscoplasticity

Fracture Characterization of Advanced High Strength Steel USS CR980XG3 Using Phase-Field Diffusive Approach in Ductile Solids

An implicit solution method for digital construction of temperature fields in concrete structures based on point temperature measurements

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