TY - JOUR
T1 - Average electro-mechanical properties and responses of active composites
AU - Tajeddini, Vahid
AU - Lin, Chien Hong
AU - Muliana, Anastasia
AU - Lévesque, Martin
N1 - Funding Information:
This research is sponsored by the Air Force Office of Scientific Research (AFOSR) under Grant FA 9550-10-1-0002. We also thank the Texas A&M Supercomputing Facility (http://sc.tamu.edu/) for providing computing resources useful in conducting the research reported in this paper.
PY - 2014
Y1 - 2014
N2 - This study deals with the overall electro-mechanical response of randomly positioned spherical particles reinforced piezoelectric composites. Different composites comprising of linearly elastic and piezoelectric constituents were studied. For the piezoelectric constituent, both linear and nonlinear electro-mechanical coupling behaviors were considered. Numerical representative volume elements (RVEs) were generated and finite element (FE) method was used in order to compute overall electro-mechanical response of the RVEs. The electro-mechanical predictions of the RVEs were compared against those of Mori-Tanaka, self-consistent and simplified unit-cell micromechanical models. A new first moment secant linearization was introduced in order to perform the homogenization of the nonlinearly piezoelectric composites followed by iteration in order to minimize errors (residual) from the linearization. For all boundary conditions, including nonlinear response, simulated in this work, the predictions given by the Mori-Tanaka and UC models were reasonably close to the ones of the RVE cases. Finally the RVEs were modified to examine the linear and nonlinear electro-mechanical responses of piezoelectric ceramics with pores. Depending on the prescribed boundary conditions, the existence of pores could significantly alter the electro-mechanical response of piezoelectric ceramics.
AB - This study deals with the overall electro-mechanical response of randomly positioned spherical particles reinforced piezoelectric composites. Different composites comprising of linearly elastic and piezoelectric constituents were studied. For the piezoelectric constituent, both linear and nonlinear electro-mechanical coupling behaviors were considered. Numerical representative volume elements (RVEs) were generated and finite element (FE) method was used in order to compute overall electro-mechanical response of the RVEs. The electro-mechanical predictions of the RVEs were compared against those of Mori-Tanaka, self-consistent and simplified unit-cell micromechanical models. A new first moment secant linearization was introduced in order to perform the homogenization of the nonlinearly piezoelectric composites followed by iteration in order to minimize errors (residual) from the linearization. For all boundary conditions, including nonlinear response, simulated in this work, the predictions given by the Mori-Tanaka and UC models were reasonably close to the ones of the RVE cases. Finally the RVEs were modified to examine the linear and nonlinear electro-mechanical responses of piezoelectric ceramics with pores. Depending on the prescribed boundary conditions, the existence of pores could significantly alter the electro-mechanical response of piezoelectric ceramics.
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U2 - 10.1016/j.commatsci.2013.09.052
DO - 10.1016/j.commatsci.2013.09.052
M3 - Article
AN - SCOPUS:84887852526
VL - 82
SP - 405
EP - 414
JO - Computational Materials Science
JF - Computational Materials Science
SN - 0927-0256
ER -