Shakedown of porous materials

Zhang, J.; Shen, Wanqing; Oueslati, Abdelbacet; Saxcé, Géry de

doi:10.1016/j.ijplas.2017.04.003

Cited by 33 publications

(12 citation statements)

References 117 publications

(207 reference statements)

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“…Meanwhile, the method requires users to specify the values of parameters, e.g. θ and φ in (17), therefore when these parameters are inappropriately selected, µ's will have a severe inhomogeneous distribution in U. To remedy such problem, we developed a simple algorithm.…”

Section: Generating Optimally-distributed Weight Factors Inmentioning

confidence: 99%

See 1 more Smart Citation

Statistical Analyses of the Strengths of Particulate Reinforced Metal Matrix Composites (PRMMCs) Subjected to Multiple Tensile and Shear Stresses

Chen¹,

Shu²,

Zhang³

et al. 2020

Preprint

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Predicting the material strengths of particulate reinforced metal matrix composites (PRMMCs) and understanding how these properties are related to the constituents and microstructural features are essential for material designers and application engineers. To this end, a computational approach consists of the direct methods, homogenization, and statistical analyses is introduced in our previous studies [1,2]. Since in various engineering applications failure of PRMMC materials are caused by time-varied combinations of tensile and shear stresses, to take into account of such situations the established approach is extended in the present work. In this paper, ultimate strengths and endurance limits of an exemplary PRMMC material, WC-Co, are predicted under three independently varied tensile and shear stresses. In order to cover the entire load space with least amount of weight factors, a new method for generating optimally distributed weight factors in an n dimensional space is formulated. Employing weight factors determined by this algorithm, direct method calculations were performed on many statistically equivalent representative volume elements (SERVE) samples, and through analyzing statistical characteristics associated with results the study suggests a simplified approach to estimate the material strength under superposed stresses without solving the difficult high dimensional shakedown problem.

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Section: Generating Optimally-distributed Weight Factors Inmentioning

confidence: 99%

“…Zhang et al [14], J.H. You et al [15] , M. Chen et al [16], J. Zhang et al [17,18] elucidated in their works how the macroscopic feasible load domains of different heterogeneous materials can be calculated. Similarly, macroscopic strengths were also evaluated from numerical methods developed based on kinematic theorem, cf.…”

Section: Introductionmentioning

confidence: 99%

Statistical Analyses of the Strengths of Particulate Reinforced Metal Matrix Composites (PRMMCs) Subjected to Multiple Tensile and Shear Stresses

Chen¹,

Shu²,

Zhang³

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…Recently, the numerical solution for the shakedown of porous materials has received a growing attention. Zhang et al [35] considered a hollow sphere model to obtain shakedown solutions of porous materials under cyclic loads. Using variational principles and the finite element method, Ruiz and Silveira [28] presented numerical solutions for the shakedown analysis of porous materials.…”

Section: Introductionmentioning

confidence: 99%

Shakedown analysis of porous materials via mixed meshless methods

Ruiz

Silveira

2020

J Braz. Soc. Mech. Sci. Eng.

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In this paper, the elastic shakedown analysis of porous materials is performed by means of meshless methods using mixed approximations. Based on a mixed variational principle for shakedown analysis and using a yield function for porous materials, two meshless methods are adapted to perform mixed approximations of the stress and velocity fields for the solution of the discrete shakedown problem. These two new methods are named mixed moving least squares method and mixed Shepard's method and are used to solve some numerical examples. The numerical results obtained showed a good agreement with available analytical solutions and published results by the finite element method. The proposed mixed methods can be applied in the analysis of structural and machine parts made of porous materials and subjected to variable loads.

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“…The use of conventional and advanced structural materials for various engineering applications demands an understanding of material behaviour under different loading conditions, specifically in the elastic‐plastic regime. Analysis and modelling of engineering components under cyclic loading are complex because cyclic‐plastic phenomena like Bauschinger effect, ratcheting, shakedown, and mean stress relaxation are to be considered in the constitutive modelling. Amongst these phenomena, ratcheting often leads to failure because of the progressive accumulation of plastic strain under asymmetric stress‐controlled cyclic loading.…”

Section: Introductionmentioning

confidence: 99%

“…Simulation of the shakedown phenomenon considering combined hardening models typically demands the use of linear hardening rule in the KH component . But the earlier investigators have dealt with this problem by incorporating a small amount of nonlinearity in the third backstress of the KH component in the original Chaboche model to achieve simulations for the stabilized rate of ratcheting.…”

Section: Introductionmentioning

confidence: 99%

Prediction of asymmetric cyclic‐plastic behaviour for cyclically stable non‐ferrous materials

Nath

Barai

Ray

2019

Fatigue Fract Eng Mat Struct

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Investigation on asymmetric cyclic‐plastic or ratcheting behaviour of non‐ferrous materials has received relatively little attention compared with ferrous materials. Ratcheting behaviour of materials is generally simulated using isotropic‐kinematic hardening models; however, for materials showing cyclically stable response, isotropic hardening is often not accounted for the constitutive modelling. A methodology based on Chaboche's isotropic‐kinematic hardening (CIKH) model with the consideration of genetic algorithm for optimization of initial estimates of the CIKH parameters is used in this study. The investigated plastic responses incorporate both symmetric strain‐controlled hysteresis loops and ratcheting behaviour. The suggested approach satisfactorily predicts the reported plastic response of cyclically stable non‐ferrous alloys based on aluminum, zirconium, and titanium.

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Shakedown of porous materials

Cited by 33 publications

References 117 publications

Statistical Analyses of the Strengths of Particulate Reinforced Metal Matrix Composites (PRMMCs) Subjected to Multiple Tensile and Shear Stresses

Statistical Analyses of the Strengths of Particulate Reinforced Metal Matrix Composites (PRMMCs) Subjected to Multiple Tensile and Shear Stresses

Shakedown analysis of porous materials via mixed meshless methods

Prediction of asymmetric cyclic‐plastic behaviour for cyclically stable non‐ferrous materials

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