Evaluation of Elastic and Creep Properties of Perforated Materials by Finite Element Analysis Imposing Periodic Boundary Conditions
In the analysis of materials containing regularly placed in-homogeneities, the evaluation of homogenized properties is an important issue. Common procedure for the homogenization is to define a unit cell, load it somehow, and investigate its structural response. A periodic variation of strain appears when the periodically heterogeneous material is under uniform macro-stress, and therefore, the implementation of this characteristic behavior would be essential to the material characterization based on a unit cell analysis. With the method proposed here, conventional finite element analysis tools can be used with no modification, and it is applicable to the skew-arrayed in-homogeneity problems. The orthotropic elastic and creep properties of materials with voids are examined, and the accuracy and effectiveness are demonstrated.
Young-Jin Kim, Dong-Ho Bae and Yun-Jae Kim
I. S. Chung and Y. S. Chai, "Evaluation of Elastic and Creep Properties of Perforated Materials by Finite Element Analysis Imposing Periodic Boundary Conditions", Key Engineering Materials, Vols. 297-300, pp. 2233-2239, 2005