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A general-purpose computational homogenization framework is proposed for the nonlinear dynamic analysis of membranes exhibiting complex microscale and/or mesoscale heterogeneity characterized by in-plane periodicity that cannot be effectively treated by a conventional method, such as woven fabrics.
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Ogden RW. Nonlinear elasticity, anisotropy, material stability and residual stresses in soft tissue. In: Springer. 2003 (pp. 65–108)
2003
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Geuzaine P, Brown G, Harris C, Farhat C. Aeroelastic dynamic analysis of a full F-16 configuration for various flight conditions. AIAA journal
2003
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Farhat C, Geuzaine P, Brown G. Application of a three-field nonlinear fluid–structure formulation to the prediction of the aeroelastic parameters of an F-16 fighter. Computers & Fluids
2003
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Vreman A. An eddy-viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications. Physics of fluids
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2006
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Yvonnet J, He QC. The reduced model multiscale method (R3M) for the non-linear homogenization of hyperelastic media at finite strains. Journal of Computational Physics
Farhat C, Avery P, Chapman T, Cortial J. Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency. International Journal for Numerical Methods in Engineering
2014
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Le B, Yvonnet J, He QC. Computational homogenization of nonlinear elastic materials using neural networks. International Journal for Numerical Methods in Engineering
2015
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Wang K, Lea P, Farhat C. A computational framework for the simulation of high-speed multi-material fluid–structure interaction problems with dynamic fracture. International Journal for Numerical Methods in Engineering
2015
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Farhat C, Chapman T, Avery P. Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models. International Journal for Numerical Methods in Engineering
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2007
Cited alongside, same era.
Knap J, Barton N, Hornung R, Arsenlis A, Becker R, Jefferson D. Adaptive sampling in hierarchical simulation. International journal for numerical methods in engineering
2008
Cited alongside, same era.
Coenen E, Kouznetsova V, Geers M. Computational homogenization for heterogeneous thin sheets. International Journal for Numerical Methods in Engineering
2010
Cited alongside, same era.
Lin JK, Shook LS, Ware JS, Welch JV. Flexible material systems testing. NASA Report CR-2010-216854; 2010
2010
Cited alongside, same era.
Farhat C, Rallu A, Wang K, Belytschko T. Robust and provably second-order explicit–explicit and implicit–explicit staggered time-integrators for highly non-linear compressible fluid–structure interaction problems. International Journal for Numerical Methods in Engineering
2010
Cited alongside, same era.
Ha-Minh C, Kanit T, Boussu F, Imad A. Numerical multi-scale modeling for textile woven fabric against ballistic impact. Computational Materials Science
2011
Cited alongside, same era.
Wang K, Rallu A, Gerbeau JF, Farhat C. Algorithms for interface treatment and load computation in embedded boundary methods for fluid and fluid–structure interaction problems. International Journal for Numerical Methods in Fluids
2011
Cited alongside, same era.
Farhat C, Gerbeau JF, Rallu A. FIVER: A finite volume method based on exact two-phase Riemann problems and sparse grids for multi-material flows with large density jumps. Journal of Computational Physics
2012
Cited alongside, same era.
2015
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Hill JL. Mechanical property determination for flexible material systems
2016
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Balajewicz M, Amsallem D, Farhat C. Projection-based model reduction for contact problems. International Journal for Numerical Methods in Engineering
2016
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Zahr MJ, Avery P, Farhat C. A multilevel projection-based model order reduction framework for nonlinear dynamic multiscale problems in structural and solid mechanics. International Journal for Numerical Methods in Engineering
2017
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Main A, Zeng X, Avery P, Farhat C. An enhanced FIVER method for multi-material flow problems with second-order convergence rate. Journal of Computational Physics
2017
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Chapman T, Avery P, Collins P, Farhat C. Accelerated mesh sampling for the hyper reduction of nonlinear computational models. International Journal for Numerical Methods in Engineering
2017
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Huang Z, Avery P, Farhat C, Rabinovitch J, Derkevorkian A, Peterson LD. Simulation of parachute inflation dynamics using an Eulerian computational framework for fluid-structure interfaces evolving in high-speed turbulent flows. In: AIAA. ; 2018: 1540
2018
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Lu X, Giovanis DG, Yvonnet J, Papadopoulos V, Detrez F, Bai J. A data-driven computational homogenization method based on neural networks for the nonlinear anisotropic electrical response of graphene/polymer nanocomposites. Computational Mechanics
2019
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Borker R, Huang D, Grimberg S, Farhat C, Avery P, Rabinovitch J. Mesh adaptation framework for embedded boundary methods for computational fluid dynamics and fluid-structure interaction. International Journal for Numerical Methods in Fluids
2019
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2019
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He W, Avery P, Farhat C. In-situ adaptive reduction of nonlinear multiscale structural dynamics models. International Journal for Numerical Methods in Engineering
2020
Closest in time.
Huang DZ, Xu K, Farhat C, Darve E. Learning constitutive relations from indirect observations using deep neural networks. Journal of Computational Physics
2020
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Huang DZ, Avery P, Farhat C. An embedded boundary approach for resolving the contribution of cable subsystems to fully coupled fluid-structure interaction. International Journal for Numerical Methods in Engineering
2020
Closest in time.
Huang DZ, Avery P, Farhat C, Rabinovitch J, Derkevorkian A, Peterson LD. Modeling, simulation and validation of supersonic parachute inflation dynamics during Mars landing. In: American Institute of Aeronautics and Astronautics. ; 2020: 0313
2020
Closest in time.