Micromechanical modeling of the elastic-viscoplastic deformation for considering voids and imperfect interfaces in sintered nano-silver under compression

He, Xu; Liu, Lu; Li, Bofeng; Shu, Hongxiang; Yao, Yao

doi:10.1016/j.ijsolstr.2022.112023

Cited by 9 publications

(7 citation statements)

References 55 publications

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“…To capture the aforementioned relationship, constitutive functions are required to define the shear rate g a  on slip system a. In the present study, A widely used power-law was used to describe the relationship between slip rate and the RSS on slip system a [ [43][44][45][56][57][58].…”

Section:  * *mentioning

confidence: 99%

Dislocation density-based modeling of the yield drop phenomenon in nickel-based single crystal superalloy

He,

Liu

2023

Mater. Res. Express

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The phenomenon of yield drop, characterized by a decrease in flow stress after initial yield, has been observed in various nickel-based superalloys. Despite numerous proposed physical mechanisms, there is still a lack of a meso-mechanism-based constitutive model to explain this phenomenon. In this study, the tensile behavior of a nickel-based single crystal superalloy (DDX), was investigated at different strain rates and a temperature of 900 ℃. It was observed that the yield drop phenomenon in DDX became more pronounced with increasing strain rate. To predict the yield drop phenomenon during tensile processing, an improved strength law based on continuum dislocation density theory was considered in the crystal plasticity framework. The proposed constitutive model was implemented using nonlinear iteration and incorporated into a finite element analysis software. The simulation results exhibited a good agreement between the experimental data and the stress-strain curve in the vicinity of the yield drop region, affirming the predictive aptitude of the proposed model in elucidating the yield drop phenomenon at various strain rates.

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Section:  * *mentioning

confidence: 99%

Dislocation density-based modeling of the yield drop phenomenon in nickel-based single crystal superalloy

He,

Liu

2023

Mater. Res. Express

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“…Detailed mathematical discussions regarding this issue can be found in Othmani et al 50 and Dinzart and Sabar. 51 According to Dinzart and Sabar 51 and He et al, 31 the strain concentration tensors that take into account the imperfect interface in the self-consistent homogenization method were expressed as follows:…”

Section: Parameters Of the Polymeric Matrix Viscoelastic Parameter Dmentioning

confidence: 99%

“…Substituting Equations ( 30), (31), and (32) into Equation (33), the relationship between the macroscopic strain increment and the volume averaged strain increment of inclusion phase was derived:…”

Section: Parameters Of the Polymeric Matrix Viscoelastic Parameter Dmentioning

confidence: 99%

“…Mean-field homogenization (MFH) method, which offers higher computational efficiency, is an excellent candidate for the construction of micromechanical constitutive models. These micromechanical constitutive models utilize the dilute inclusion method, 24 Mori-Tanaka method, [25][26][27][28][29][30] and self-consistent method, [31][32][33][34] all based on Eshelby's equivalence principle 24 and Hill's incremental theory. 35 Considering the concept of eigenstrain in nanoparticle reinforced polymer composites, Karimi Dona et al 36 developed an improved Mori-Tanaka and self-consistent model to effectively predict the effective elastic properties of the nanoparticle/polymer.…”

Section: Introductionmentioning

confidence: 99%

“…41 The linear spring model, originally introduced by Qu, 42,43 is frequently utilized to characterize imperfect interfaces due to its remarkable mathematical simplicity and readily understandable physical interpretation. Numerous micromechanical models incorporating imperfect interfaces have been developed 31,32,38,44 based on the linear spring model. By considering the effects of the imperfect interface, these models provide a more comprehensive understanding of the mechanical responses of the composites at the microstructural level.…”

Section: Introductionmentioning

confidence: 99%

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A micromechanical cyclic constitutive model for ratchetting deformation of polymeric composites with imperfect interface

Qin,

Lu,

Zhang

et al. 2023

Polymer Composites

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In this study, a micromechanical cyclic constitutive model for accurately describing the ratchetting deformation of polymeric composites is proposed. The model is based on the mean‐field homogenization method and incorporates the nonlinear viscoelastic‐viscoplastic (VE‐VP) cyclic constitutive model of the polymeric matrix and the imperfect interface. First, the nonlinear VE‐VP model was linearized using the incremental affine method and then was introduced into the homogenization process. The imperfect interface was represented using a linear spring model. A modified Mori‐Tanaka model was developed to incorporate the nonlinear VE‐VP model and imperfect interface into the micromechanical constitutive model. To implement the proposed micromechanical model, a numerical algorithm was developed. The model is capable of capturing the influence of the imperfect interface on the ratchetting deformation of polymeric composites. Furthermore, it is applicable to simulate various loading histories, including monotonic tension, stress relaxation, creep, and uniaxial ratchetting loads. The proposed model was validated by comparing its simulations with those obtained from the full‐field finite element method (FEM) model. The proposed model can predict the ratchetting deformation of polymeric composites and promote the practical application of these material in structures.Highlights A micromechanical cyclic constitutive model is developed to describe the ratchetting deformation of polymeric composites with imperfect interface. Nonlinear viscoelastic‐viscoplastic deformation of polymeric matrix is considered. A modified Mori‐Tanaka method is employed to incorporate the nonlinear constitutive model and imperfect interface into the process of homogenization. Good agreement between simulations of the proposed model and the full‐field FEM model under various loading histories.

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Failure mechanism and theoretical model of high-temperature tensile creep of sintered nano-silver

Gong,

Zheng,

Liu

et al. 2024

J Mater Sci: Mater Electron

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Micromechanical modeling of the elastic-viscoplastic deformation for considering voids and imperfect interfaces in sintered nano-silver under compression

Cited by 9 publications

References 55 publications

Dislocation density-based modeling of the yield drop phenomenon in nickel-based single crystal superalloy

Dislocation density-based modeling of the yield drop phenomenon in nickel-based single crystal superalloy

A micromechanical cyclic constitutive model for ratchetting deformation of polymeric composites with imperfect interface

Failure mechanism and theoretical model of high-temperature tensile creep of sintered nano-silver

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