年間 6 号発行
ISSN 印刷: 1543-1649
ISSN オンライン: 1940-4352
Indexed in
Further Insights by Theoretical Investigations of the Multiscale Arlequin Method
要約
The Arlequin method allows for concurrent multimodel and multiscale analyses of mechanical problems. This method relies on a number of parameters, the rigorous choice of which being an essential issue. Some analyses are carried out in this article and are shown to be helpful for the design of reliable choices. These theortical investigations are enlightened by simple but relevant numerical tests.
-
Chamoin Ludovic, Prudhomme Serge, Ben Dhia H., Oden Tinsley, Ghost forces and spurious effects in atomic-to-continuum coupling methods by the Arlequin approach, International Journal for Numerical Methods in Engineering, 83, 8-9, 2010. Crossref
-
Dhia Hachmi Ben, Torkhani Mohamed, Modeling and computation of fretting wear of structures under sharp contact, International Journal for Numerical Methods in Engineering, 85, 1, 2011. Crossref
-
Cottereau R., Clouteau D., Ben Dhia H., Zaccardi C., A stochastic-deterministic coupling method for continuum mechanics, Computer Methods in Applied Mechanics and Engineering, 200, 47-48, 2011. Crossref
-
Qiao Hua, Chen Wei-qiu, Analysis of the penalty version of the Arlequin framework for the prediction of structural responses with large deformations, Journal of Zhejiang University-SCIENCE A, 12, 7, 2011. Crossref
-
Dhia Hachmi Ben, Jamond Olivier, On the use of XFEM within the Arlequin framework for the simulation of crack propagation, Computer Methods in Applied Mechanics and Engineering, 199, 21-22, 2010. Crossref
-
Hu Heng, Damil Noureddine, Potier-Ferry Michel, A bridging technique to analyze the influence of boundary conditions on instability patterns, Journal of Computational Physics, 230, 10, 2011. Crossref
-
Han Fei, Lubineau Gilles, Coupling of nonlocal and local continuum models by the Arlequin approach, International Journal for Numerical Methods in Engineering, 89, 6, 2012. Crossref
-
Jebahi Mohamed, Charles Jean-luc, Dau Frederic, Illoul Lounes, Iordanoff Ivan, 3D coupling approach between discrete and continuum models for dynamic simulations (DEM–CNEM), Computer Methods in Applied Mechanics and Engineering, 255, 2013. Crossref
-
Biscani F., Giunta G., Belouettar S., Carrera E., Hu H., Variable kinematic plate elements coupled via Arlequin method, International Journal for Numerical Methods in Engineering, 91, 12, 2012. Crossref
-
Ghanem A., Torkhani M., Mahjoubi N., Baranger T.N., Combescure A., Arlequin framework for multi-model, multi-time scale and heterogeneous time integrators for structural transient dynamics, Computer Methods in Applied Mechanics and Engineering, 254, 2013. Crossref
-
Yu Kun, Hu Heng, Chen Siyu, Belouettar Salim, Potier-Ferry Michel, Multi-scale techniques to analyze instabilities in sandwich structures, Composite Structures, 96, 2013. Crossref
-
Shan Wenzhe, Nackenhorst Udo, Selective damping method for the weak-Arlequin coupling of molecular dynamics and finite element method, International Journal for Numerical Methods in Engineering, 96, 3, 2013. Crossref
-
Cottereau R., Numerical strategy for unbiased homogenization of random materials, International Journal for Numerical Methods in Engineering, 95, 1, 2013. Crossref
-
Le Guennec Y., Cottereau R., Clouteau D., Soize C., A coupling method for stochastic continuum models at different scales, Probabilistic Engineering Mechanics, 37, 2014. Crossref
-
Jamond Olivier, Dhia Hachmi Ben, Incompressibility in the multimodel Arlequin framework, International Journal for Numerical Methods in Engineering, 94, 4, 2013. Crossref
-
Zaccardi C., Chamoin L., Cottereau R., Ben Dhia H., Error estimation and model adaptation for a stochastic-deterministic coupling method based on the Arlequin framework, International Journal for Numerical Methods in Engineering, 96, 2, 2013. Crossref
-
Gravouil A., Combescure A., Brun M., Heterogeneous asynchronous time integrators for computational structural dynamics, International Journal for Numerical Methods in Engineering, 102, 3-4, 2015. Crossref
-
Sun WaiChing, Mota Alejandro, A multiscale overlapped coupling formulation for large-deformation strain localization, Computational Mechanics, 54, 3, 2014. Crossref
-
Nazeer S. Mohamed, Bordeu Felipe, Leygue Adrien, Chinesta Francisco, Arlequin based PGD domain decomposition, Computational Mechanics, 54, 5, 2014. Crossref
-
Jebahi Mohamed, Dau Frédéric, Charles Jean-Luc, Iordanoff Ivan, Multiscale Modeling of Complex Dynamic Problems: An Overview and Recent Developments, Archives of Computational Methods in Engineering, 23, 1, 2016. Crossref
-
Brun M., Gravouil A., Combescure A., Limam A., Two FETI-based heterogeneous time step coupling methods for Newmark and α-schemes derived from the energy method, Computer Methods in Applied Mechanics and Engineering, 283, 2015. Crossref
-
Mixing Variable Kinematic Models, in Finite Element Analysis of Structures Through Unified Formulation, 2014. Crossref
-
Xu Fan, Hu Heng, Potier-Ferry Michel, Belouettar Salim, Bridging techniques in a multi-scale modeling of pattern formation, International Journal of Solids and Structures, 51, 18, 2014. Crossref
-
Néron David, Dhia Hachmi Ben, Cottereau Régis, A decoupled strategy to solve reduced-order multimodel problems in the PGD and Arlequin frameworks, Computational Mechanics, 57, 4, 2016. Crossref
-
Carrera E., Pagani A., Valvano S., Multilayered plate elements accounting for refined theories and node-dependent kinematics, Composites Part B: Engineering, 114, 2017. Crossref
-
Sun WaiChing, Cai Zhijun, Choo Jinhyun, Mixed Arlequin method for multiscale poromechanics problems, International Journal for Numerical Methods in Engineering, 111, 7, 2017. Crossref
-
Fernier Alexandre, Faucher Vincent, Jamond Olivier, Multi-model Arlequin method for transient structural dynamics with explicit time integration, International Journal for Numerical Methods in Engineering, 112, 9, 2017. Crossref
-
Kolpakov Alexander G, Andrianov Igor V, Prikazchikov Danila A, Asymptotic strategy for matching homogenized structures. Conductivity problem, The Quarterly Journal of Mechanics and Applied Mathematics, 2018. Crossref
-
Ben Dhia Hachmi, Du Shuimiao, A model-adaptivity method for the solution of Lennard-Jones based adhesive contact problems, Computational Mechanics, 62, 6, 2018. Crossref
-
Cottereau Régis, A Coupling Method for the Homogenization of Stochastic Structural Models, in Multiscale Modeling and Uncertainty Quantification of Materials and Structures, 2014. Crossref
-
Shao Qian, Liu Jian, Huang Qun, Yang Jie, Hu Heng, Belouettar Salim, Giunta Gaetano, A data-driven analysis on bridging techniques for heterogeneous materials and structures, Mechanics of Advanced Materials and Structures, 28, 1, 2021. Crossref
-
Cottereau R., Clouteau D., Ben Dhia H., Localized modeling of uncertainty in the Arlequin framework, in IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties, 27, 2011. Crossref
-
Albella J., Dhia H. Ben, Imperiale S., Rodríguez J., Mathematical and Numerical Study of Transient Wave Scattering by Obstacles with a New Class of Arlequin Coupling, SIAM Journal on Numerical Analysis, 57, 5, 2019. Crossref
-
Sun Wei, Fish Jacob, Superposition-based coupling of peridynamics and finite element method, Computational Mechanics, 64, 1, 2019. Crossref
-
Sun Wei, Fish Jacob, Zhang Ga, Superposition of non-ordinary state-based peridynamics and finite element method for material failure simulations, Meccanica, 55, 4, 2020. Crossref
-
Fernier Alexandre, Faucher Vincent, Jamond Olivier, Multi-model Arlequin approaches for fast transient, FSI-oriented, fluid dynamics with explicit time integration, Computers & Fluids, 199, 2020. Crossref
-
Fernandes Jeferson Wilian Dossa, Barbarulo Andrea, Ben Dhia Hachmi, Sanches Rodolfo André Kuche, A residual-based stabilized finite element formulation for incompressible flow problems in the Arlequin framework, Computer Methods in Applied Mechanics and Engineering, 370, 2020. Crossref
-
Cottereau Régis, A Stochastic-deterministic Coupling Method for Multiscale Problems. Application to Numerical Homogenization of Random Materials, Procedia IUTAM, 6, 2013. Crossref
-
Rosa R.J.R., Coda H.B., Sanches R.A.K., Blended isogeometric-finite element analysis for large displacements linear elastic fracture mechanics, Computer Methods in Applied Mechanics and Engineering, 392, 2022. Crossref
-
Bibliography, in Discrete‐Continuum Coupling Method to Simulate Highly Dynamic Multi‐Scale Problems, 2015. Crossref
-
Picard Alexis, Lelong Nicolas, Jamond Olivier, Faucher Vincent, Tenaud Christian, A Finite Volume Chimera Method for Fast Transient Dynamics in Compressible Flow Problems, International Journal of Computational Fluid Dynamics, 35, 10, 2021. Crossref
-
Ruyssen Romain, Ben Dhia Hachmi, A finite addition of matter elements method for modeling and solution of an SLM thermal problem by a multiscale method, International Journal for Numerical Methods in Engineering, 123, 8, 2022. Crossref
-
Fu Chenbo, Cheng Zhe, Wang Ting, Xu Fan, An asymptotic modeling and resolution framework for morphology evolutions of multiple-period post-buckling modes in bilayers, Mathematics and Mechanics of Solids, 27, 8, 2022. Crossref
-
Gorynina Olga, Le Bris Claude, Legoll Frédéric, Mathematical analysis of a coupling method for the practical computation of homogenized coefficients, ESAIM: Control, Optimisation and Calculus of Variations, 28, 2022. Crossref