Multi-physics computational grains (MPCGs) for direct numerical simulation (DNS) of piezoelectric composite/porous materials and structures

Computational Piezo-Grains (CPGs) for a highly-efficient micromechanical modeling of heterogeneous piezoelectric–piezomagnetic composites

“…We then calculate the magneto-electro-mechanical stress vector ½ s 11 s 33 s 13 D 1 D 3 B 1 B 3 T on the four boundaries of the unit cell, and accordingly some material properties can be determined. For more details about these special models, readers are referred to (Bishay et al, 2014b) or (Lee et al, 2005). The unit cell can contain only one CPG or any number of CPGs.…”

“…For piezoelectric materials, Wang et al (2004) developed a hybrid finite element with a hole based on Lekhnitskii formalism, while Cao et al (2013) developed a hybrid finite element with defects based on the extended Stroh formalism. Computational cells or grains for direct numerical micromechanical simulation (DNMS) of micro/meso structures were developed by Dong and Atluri (2012b, 2012c, 2012d for heterogeneous and functionally graded isotropic elastic composite and porous materials, and by (Bishay and Atluri, 2014;Bishay et al, 2014b) for composite and porous piezoelectric materials. In these methods, each cell models an entire grain of the material, with elastic/rigid inclusions or voids.…”

Fully-coupled electro-magneto-elastic behavior of unidirectional multiphased composites via finite-volume homogenization

“…Chen and Wang (2020) studied the effect of a fully/partially-cracked interface on the stress and electric field re-distributions in unidirectional composites. Bishay et al (Bishay and Atluri, 2015;Bishay et al, 2014) implemented the Trefftz concept into finite elements and developed the multi-physics computational grains for the analysis of both the effective and localized responses of electro-magneto-elastic composites. Sladek et al (2017) used the meshless local Petrov-Galerkin (MLPG) technique to generate the effective properties of composites with multifunctional capabilities.…”