second gradient model
A transition approach from a local second gradient model to a cohesive zone model
... Bât.52 1 Chemin des chevreuils, B-4000 Liège 1, Belgium f.collin@ulg.be Among the various regularization methods that enable to deal with the problem of strain localization in the framework of continuum mechanics, the ...
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Using local second gradient model and shear strain localisation to model the excavation damaged zone in unsaturated claystone
... local second gradient model in unsaturated conditions The fracturing evidences presented in the previous section highlight that damage around underground galleries devel- ops as cracks and that ...
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Using a second gradient model to simulate the behaviour of concrete structural elements
... the second gradient model developed by Chambon and co-workers [35–39] ...This model can be seen as a particular case of a higher order continuum (see Section 2 ) and has been mainly used till ...
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Prediction of the excavation damaged zone in Callovo-Oxfordian claystone using a coupled second gradient model
... to model these shear fractures as a strain localisation process in the mode of a shear ...enhanced model introducing a regularization method and an internal length scale is ...coupled second ...
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Unsteady simulations of liquid/gas interfaces using the Second Gradient theory
... This study has introduced the Thickened Interface Method as a solution to perform simulations of interfaces on typical DNS meshes using the Second Gradient model. The modifications applied to the ...
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Numerical modeling of 3 point bending test of a reinforced concrete beam using a second gradient theory
... A second gradient model has been used to model the three point bending test of a rein- forced concrete ...the model is able to reproduce the force- displacement curve obtained ...the ...
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Second gradient models and concrete structures
... u ⋆ i + P i v ⋆ ij n j )d𝛤 (2) with the added kinematic constraint (in weak form) : ∫ 𝛺 𝜆 ⋆ ij (v ij − u i ,j ) d𝛺 (3) where 𝜆 ⋆ ij is the field of Lagrange multipliers associated with the kinematic con- straint. For the ...
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Using a penalty term to deal with spurious oscillations in second gradient finite elements
... The second gradient model introduced by Chambon and co-workers ( 30 , 20 ) is used as a regularization method in the context of damage induced strain ...stress second gradient ...
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Using a penalty term to deal with spurious oscillations in second gradient finite elements
... mechanics model to correctly simulate strain localization. The second gradient model, a special case of kinematically enriched continua, considers an internal length parameter by taking into ...
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Applying a second gradient theory on reinforced concrete structural elements
... local second gradient model developed by Chambon et ...node second gradient finite element is used [2] and the constitutive laws for the first gradient part are based on damage ...
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Restoring Mesh Independency in FEM-DEM Multi-scale Modelling of Strain Localization Using Second Gradient Regularization
... with Second Gradient 3 Local Second Gradient Model Microstructured material descriptions consider a continuum field in the micro-scale enriched by higher order terms [ 6 ...
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Analytical solutions for the thick-walled cylinder problem modeled with an isotropic elastic second gradient constitutive equation
... The sequence of the paper is as follows. The Section 2 is a pre- sentation of the notations. Enhanced models require the use of unusual tensor. Moreover, the problem studied here has to be writ- ten in cylindrical ...
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From molecular clusters to nanoparticles: second-generation ion-mediated nucleation model
... the second generation IMN we found that 20 ion-mediated nucleation can lead to a significant new particle formation in the lower atmosphere (including boundary layer) under favorable ...nucleation model of ...
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Assessment of a multiscale fatigue damage model associated with stress gradient effects
... The computation of the mesoscopic accumulated plastic strain is based on Zarka method (Direct Method). The accumulated mesoscopic strain is based on[r] ...
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Capacity drop and traffic control for a second order traffic model
... how second order traffic flow models, in our case the Aw- Rascle equations, can be used to reproduce empirical observations such as the capacity drop at merges and solve related optimal control ...a model ...
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A Second-Order Model for Time-Dependent Data Interpolation: Splines on Shape Spaces
... Figure: Top row: Four examples of time evolution reconstructions from the observations at 6 time points (not represented here) in the learning set. Bottom row: The simulated evolution generated from a PCA model ...
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Validation of a Second-Order Slip Flow Model in Rectangular Microchannels
... S2 model—whatever the gas, nitrogen (Figure 7b) or he- lium (Figure 7c)—with σ = ...the second- order slip flow model with Knudsen numbers higher than ...
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A Second-Order Model for Time-Dependent Data Interpolation: Splines on Shape Spaces
... interpolation model. However, there may be other interesting second order models that are worth being studied (at least to reduce the com- putational cost of the proposed method) and this is also a direct ...
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MODEL UNCERTAINTY IN FINANCE AND SECOND ORDER BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS
... After the pioneer work of Von Neumann and Morgenstern [ 109 ], Merton rst studied portfolio selection with utility maximization by stochastic optimal control in the seminal paper [ 81 ]. Kramkov and Schachermayer solved ...
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2D continuum viscodamage-embedded discontinuity model with second order mid-point scheme
... discontinuity model, which combines the pre-peak nonlinear and rate-sensitive hardening response of the material behavior, representing the fracture-process zone creation and the post-peak response, involving the ...
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