Shakedown analysis of a hollow sphere by interior-point method with non-linear optimization

Zhang, J.; Oueslati, Abdelbacet; Shen, Wanqing; Saxcé, Géry de; Nguyen, An Danh; Zhu, Qi‐Zhi; Shao, Jian‐Fu

doi:10.1016/j.ijmecsci.2020.105515

Cited by 12 publications

(11 citation statements)

References 33 publications

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“…Moreover, it is obviously seen that the sign of J 3+ has no influence on the final shakedown domain (red line). Indeed, this interesting conclusion is in accord with the numerical study [35] by nonlinear optimization based on the interior-point method, which is concerning the shakedown analysis of porous media having von Mises solid matrix.…”

Section: Macroscopic Shakedown Criterion Of Poroussupporting

confidence: 79%

“…Referring to [34], KðaÞ C 1 can be eliminated by taking Equation (34) to the first two shakedown conditions (30) and (31). Solving the two equations with respect to the sign of KðaÞ C 1 , one can obtain Taking the general stress triaxiality (34) into account, the macroscopic shakedown criterion of porous geomaterials derived from Equations ( 30) and ( 31) is Similarly, resulting from the last two shakedown conditions (32), Equation (33) and the general stress triaxiality (35), the other part to complete the full macroscopic shakedown criterion is…”

Section: Macroscopic Shakedown Criterion Of Porousmentioning

confidence: 99%

“…Moreover, the stress triaxiality T = Σ m /Σ eq for all the cyclic load path remains constant in a single cycle, which is implemented in Abaqus by the means of multipoint constraint subroutine (MPC) satisfying the imposed uniform velocity field boundary condition. Notice that such MPC subroutine is firstly provided in the study of polymeric materials [38] and latterly applied in a series of ductile porous media [30,32,35] with the same boundary condition.…”

Section: Numerical Verification By Step-by-step Fem Computationsmentioning

confidence: 99%

“…The hydrostatic and deviatoric parts of the load are no longer related by the imposed macroscopic stress triaxiality. In other words, two independent loads are considered in the current study, for which there are only numerical solutions [35] in the literature. Moreover, the alternate wetting and drying condition is simulated by the variable water pressure applied on the inner boundary surface of the hollow sphere model.…”

Section: Introductionmentioning

confidence: 99%

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Long-Term Strength of Porous Geomaterials by a Micromechanical Model considering Alternate Wetting and Drying Condition

Zhang

et al. 2021

Geofluids

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This study is devoted to determining the long-term strength of porous geomaterials under alternate wetting and drying condition by statical shakedown analysis. In the framework of micromechanics of porous materials, Gurson’s hollow sphere model with Drucker-Prager solid matrix is adopted as the representative volume element. The effects of alternate wetting and drying are considered as variable water pressure imposed on the inner boundary surface of the unit cell. The cyclic responses are separated as a pure hydrostatic part under compressive/tensive loads and an additional deviatoric part to capture shear effects. The reduction of the long-term strength due to inner water pressure is observed by the illustration of obtained macroscopic criteria with respect to various load parameters. In addition, the accuracy of the analytical solution is also verified by comparing to the results of FEM-based step-by-step computations.

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Section: Macroscopic Shakedown Criterion Of Poroussupporting

confidence: 79%

Section: Macroscopic Shakedown Criterion Of Porousmentioning

confidence: 99%

Section: Numerical Verification By Step-by-step Fem Computationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Long-Term Strength of Porous Geomaterials by a Micromechanical Model considering Alternate Wetting and Drying Condition

Zhang

et al. 2021

Geofluids

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“…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

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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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Fast and robust RSDM shakedown solutions of structures under cyclic variation of loads and imposed displacements

Spiliopoulos

Kapogiannis

2022

European Journal of Mechanics - A/Solids

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Shakedown analysis of a hollow sphere by interior-point method with non-linear optimization

Cited by 12 publications

References 33 publications

Long-Term Strength of Porous Geomaterials by a Micromechanical Model considering Alternate Wetting and Drying Condition

Long-Term Strength of Porous Geomaterials by a Micromechanical Model considering Alternate Wetting and Drying Condition

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

Fast and robust RSDM shakedown solutions of structures under cyclic variation of loads and imposed displacements

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