Verification of asymptotic homogenization method developed for periodic architected materials in strain gradient continuum

Strain gradient theory is an accurate model for capturing the size effect and localization phenomena. However, challenge in identification of corresponding constitutive parameters limits practical application theory. We present utilize asymptotic homogenization herein. All rank four, five, six tensors are determined with demonstrated computational approach. Examples epoxy carbon fiber composite, metal matrix aluminum foam illustrate effectiveness versatility proposed method. The influences volume fraction matrix, stack RVEs, varying unit cell lengths on identified investigated. tool applicable to a wide class materials makes use open-source codes FEniCS. make all publicly available order encourage transparent scientific exchange.