Multiscale Design of Nonlinear Materials

PROJECT TITLE: MULTISCALE DESIGN OF NONLINEAR MATERIALS

PARTICIPANTS: AHMAD NAJAFI (PHD), DR. MASOUD SAFDARI, PROF. DAN TORTORELLI (U. ILLINOIS), AND PROF. PHILIPPE GEUBELLE

SUPPORT: AFOSR MURI, NSF, U. OF ILLINOIS

PROJECT DESCRIPTION: The objective of this project is to combine the interface-enriched generalized finite element method (IGFEM) developed in the group with a multi scale gradient-based optimization scheme to optimize the material properties and geometry of a material microstructure in order to achieve a desired macroscopic stress-strain response. The top-down material design concept is schematically illustrated in the figure below.

Schematic illustration of the multi scale top-down design of a nonlinear material.

PUBLICATIONS:

  1. Najafi, A. R., Safdari, M., Tortorelli, D. and Geubelle, P. H. (2015) “A gradient-based shape optimization scheme using an interface-enriched generalized FEM.” Computational Methods in Applied Mechanics and Engineering, 296, 1-17. DOI:10.1016/j.cma.2015.07.024.
  2. Najafi, A. R., Safdari, M., Tortorelli, D., and Geubelle, P. H. (2017) “Shape optimization using a NURBS-based interface-enriched generalized finite element method”. International Journal of Numerical Methods in Engineering. doi: 10.1002/nme.5482.
  3. Najafi, A. R., Safdari, M., and Geubelle, P. H. “Structural design using a NURBS-based shape optimization.” AIAA SciTech 2016, San Diego, CA, January 2016.
  4. NAJAFI, Ahmad Raeisi (TAM) Multiscale design of nonlinear materials using a shape optimization scheme based on an interface-enriched GFEM. Ph.D. thesis. P. H. Geubelle, adviser (2016).