In-situ adaptive reduction of nonlinear multiscale structural dynamics models

The use of flat-ended projectiles for determining dynamic yield stress I. Theoretical considerations

Taylor GI · 1948

Earlier work this paper cites.

Turbulence and the dynamics of coherent structures. I. Coherent structures

Sirovich L · 1987

Earlier work this paper cites.

Solving least squares problems, vol. 15

Lawson CL, Hanson RJ · 1995

Earlier work this paper cites.

Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling

Smit R, Brekelmans W, Meijer H · 1998

Earlier work this paper cites.

Computational homogenization analysis in finite plasticity simulation of texture development in polycrystalline materials

Miehe C, Schröder J, Schotte J · 1999

Earlier work this paper cites.

Heterogeneity of bone lamellar-level elastic moduli

Hoffler C, Moore K, Kozloff K, Zysset P, Brown M, Goldstein S · 2000

Earlier work this paper cites.

FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials

Feyel F, Chaboche JL · 2000

Earlier work this paper cites.

Airfoil design optimization using reduced order models based on proper orthogonal decomposition

LeGresley P, Alonso J · 2000

Earlier work this paper cites.

An approach to micro-macro modeling of heterogeneous materials

Kouznetsova V, Brekelmans W, Baaijens F · 2001

Earlier work this paper cites.

The reduced model multiscale method (R3M) for the non-linear homogenization of hyperelastic media at finite strains

Yvonnet J, He QC · 2007

Cited alongside, same era.

Impact mechanics and high-energy absorbing materials

Qiao P, Yang M, Bobaru F · 2008

Cited alongside, same era.

Computational homogenization for nonlinear conduction in heterogeneous materials using model reduction

Monteiro E, Yvonnet J, He QC · 2008

Cited alongside, same era.

Homogenization methods for multiscale mechanics

Mei CC, Vernescu B · 2010

Cited alongside, same era.

Shape optimization for viscous flows by reduced basis methods and free-form deformation

Manzoni A, Quarteroni A, Rozza G · 2012

Cited alongside, same era.

Review and assessment of interpolatory model order reduction methods for frequency response structural dynamics and acoustics problems

Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models

Farhat C, Chapman T, Avery P · 2015

Later among the works it cites.

Progressive construction of a parametric reduced-order model for PDE-constrained optimization

Zahr MJ, Farhat C · 2015

Later among the works it cites.

Towards strength–ductility synergy through the design of heterogeneous nanostructures in metals

Ma E, Zhu T · 2017

Later among the works it cites.

A multilevel projection-based model order reduction framework for nonlinear dynamic multiscale problems in structural and solid mechanics

Zahr MJ, Avery P, Farhat C · 2017

Later among the works it cites.

Accelerated mesh sampling for the hyper reduction of nonlinear computational models

Chapman T, Avery P, Collins P, Farhat C · 2017

Later among the works it cites.