Explicit numerical study of softening in porous ductile solids

Siad, Larbi; Liu, Wing Kam; Benabbes, Anouar

doi:10.1016/j.mechrescom.2008.09.013

Cited by 4 publications

(2 citation statements)

References 16 publications

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“…The multiresolution theory has also been applied by Vernerey et al [36], Siad et al, [88] and McVeigh and Liu [89] in the analysis of ductile fracture processes. In Vernerey et al [36], they considered high-strength steels with two populations of hard particles distributed at two distinct length scales in an alloy matrix.…”

Section: Multiresolution Analysis Of Fracture In High-strength Steelmentioning

confidence: 99%

Multiscale methods for mechanical science of complex materials: Bridging from quantum to stochastic multiresolution continuum

Liu¹,

Qian

Gonella³

et al. 2010

Numerical Meth Engineering

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SUMMARYRecent development in the multiscale method based on the bridging scale concept is presented with an emphasis on complex material systems. The bridging scale method (BSM) was originally proposed by Wagner and Liu (J. Comput. Phys. 2003; 190:249-274) as an effective way of treating the interface in coupled atomistic/continuum simulation. Since its publication, the BSM has become a very useful paradigm that has been applied to solve a host of problems in mechanical sciences of complex material systems. In this paper, we present a review on the recent developments. We first describe the application of BSM to the coupled atomistic/continuum simulation of dynamic fracture. The important extensions within the framework of space-time method and multiscale non-equilibrium molecular dynamics are then presented. We then focus on the multiresolution continuum theory that inherits the BSM concept in the analysis of heterogeneous material structures. Recent work of incorporating statistical factors into this model based on the concurrent nested homogenization of randomness of the material structures is highlighted. Finally, we present the use of the bridging scale concept in resolving the electron-mechanical coupling mechanism. The robustness of the BSM is demonstrated through many benchmark problems and application examples.

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Section: Multiresolution Analysis Of Fracture In High-strength Steelmentioning

confidence: 99%

Multiscale methods for mechanical science of complex materials: Bridging from quantum to stochastic multiresolution continuum

Liu¹,

Qian

Gonella³

et al. 2010

Numerical Meth Engineering

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“…They were proposed an extension of GTN model. Later, the same principle is used by Jin et al, 2008, Seifert and Schmidt, 2008, Seifert and Schmidt, 2009, Siad et al, 2009. They studied the evaluation of the yield surface of porous materials, using elementary volume element containing one void, using finite element method.…”

Section: Introductionmentioning

confidence: 99%

Analytical and Numerical Investigation of Hardening Behavior of Porous Media

Khdir

2019

Polytechnic j.

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In this study, a comparative analysis is presented between a new proposed analytical model and numerical results for macroscopic behavior of porous media with isotropic hardening in its matrix. The macroscopic behavior of a sufficiently large representative volume element (RVE), with 200 identical spherical voids, was simulated numerically using finite element method and compared with elementary volume element that contains one void. The matrix of the porous material is considered as elasto-plastic with isotropic hardening obeys exponential law for isotropic hardening. A new parameter was added with exponential law for isotropic hardening to represent the new proposed analytical model for macroscopic isotropic porous hardening. The new added parameter B depended only on the porosity. The results of the new proposed analytical model were compared with numerical results for different types of cyclic loading. Very good agreements were found between the numerical results and the proposed analytical model.

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