References

All: J. Fish, “Practical Multiscaling,” John Wiley & Sons, Fall 2013

MDS-C: C. Oskay and J. Fish, “Eigendeformation-Based Reduced Order Homogenization,” Comp. Meth. Appl. Mech. Engng., Vol. 196, pp. 1216-1243, (2007).

MDS-C: Z. Yuan and J. Fish, "Multiple Scale Eigendeformation-Based Reduced Order Homogenization," Comp. Meth. Appl. Mech. Engng., Vol. 198, Issues 21-26, pp. 2016-2038 (2009)

MDS-C: Z. Yuan and J. Fish, "Hierarchical Model Reduction at Multiple Scales," to appear in International Journal for Numerical Methods in Engineering (2009)

MDS-C: J. Fish and S. Kuznetsov, "Computational Continua,” International Journal for Numerical Methods in Engineering, Early View DOI: 10.1002/nme.2918 (2010)

MDS-C: W. Wu, Z. Yuan and J. Fish, Eigendeformation-Based Homogenization of Concrete, International Journal of Multiscale Computational Engineering, Vol. 8, Issue 1, pp. 1-16, (2010)

MDS-C: W. Wu, Z. Yuan  J. Fish, and V. Aitharaju, “On the Canonical Structure of the Eigendeformation-Based Reduced Order Homogenization,” to appear in International Journal of Multiscale Computational Engineering, (2010)

MDS-C: J. Fish, V. Filonova and S. Kuznetsov, “Micro Inertia Effects in Nonlinear Heterogeneous Media,”  accepted in Int. Journal for Numerical Methods in Engineering (2011)

MDS-C: J. Fish, V. Filonova and Z. Yuan, “Reduced Order Computational Continua,” to appear in Comp. Meth. Appl. Mech. Engng. (2011)

MDS-C: J. Fish, T. Jiang and Z. Yuan, “A Staggered Nonlocal Multiscale Model for Heterogeneous Medium”, International Journal for Numerical Methods in Engineering (2012) – in print

MDS-UQ: W. Wu and J. Fish, “Towards Nonintrusive Stochastic Multiscale Design System for Composite Materials,”  to appear in International Journal of Multiscale Computational Engineering, (2010)

MDS-UQ: J. Fish and W. Wu, "Nonintrusive Stochastic Multiscale Solver," in print International Journal for Numerical Methods in Engineering (2011)

MDS-FT: J. Fish, M. Bailakanavar, L. Powers and T. Cook, “Multiscale fatigue life prediction model for heterogeneous materials,” to appear in International Journal for Numerical Methods in Engineering (2011)

MDS-MP: S. Kuznetsov and J. Fish, “Mathematical homogenization theory for electroactive continuum,” submitted to International Journal for Numerical Methods in Engineering (2011)

MDS-D: A. Li, R. Li and J. Fish, "Generalized Mathematical Homogenization: From Theory to Practice," Comp. Meth. Appl. Mech. Engng., Vol. 197, no 41-42, pp. 245-269,  (2008).

MDS-D: J. Fish, A. Li, and F. Yavari, “Adaptive Generalized Mathematical Homogenization Framework for Modeling the Deformation of Ultra-Strong Nano-Structured Materials, International Journal for Numerical Methods in Engineering, Vol. 83, Issue 8-9, pp. 1133-1154  (2010)