The reduced model multiscale method (R3M) for the non-linear homogenization of hyperelastic media at finite strains-Reference-Cited by-同舟云学术

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

Published:2007-04 Issue:1 Volume:223 Page:341-368
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Yvonnet J.,He Q.-C.

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference63 articles.

1. M.F.A. Azeez, A.F. Vakakis, Numerical and experimental analysis of the nonlinear dynamics due to impacts of a continuous overhung rotor, in: Proceedings of DETC’97, ASME Design Engineering Technical Conferences, Sacramento, CA, 1997.

2. M.F.A. Azeez, A.F. Vakakis, Proper Orthogonal decomposition (POD) of a class of vibroimpact oscillations, Internal Report, Department of Mechanical and Industrial Engineering, University of Illinois at Urbana Champain, USA, 1998.

3. An introduction to the proper orthogonal decomposition;Chaterjee;Curr. Sci.,2000

4. Neo-Hookean fibber reinforced composites in finite elasticity;deBotton;J. Mech. Phys. Solids,2006

5. On the optimality of the discrete Karhunen–Loève expansion;Dür;SIAM J. Contr. Optim.,1998

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