3 April 2009 A multi-axial ferroelastic switching model using the homogenized energy approach
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A new constitutive modeling framework is presented to predict polarization reorientation from mechanical loading in ferroelectric materials. The modeling framework employs a homogenized energy approach to predict the reorientation of local polarization variants in response to multi-axial mechanical loading. Single crystal energy relations are given and integrated into a polycrystal model using a reduced order modeling technique that employs a set of stochastic parameters which accommodate material inhomogeneities. The homogenized energy approach provides a methodology that simplifies computations required to predict nonlinear polarization reorientation from applied stresses. The new formulation circumvents the need for large scale minimization problems of multi-well energy potentials and facilitates constitutive model integration into finite element codes and nonlinear control designs. The theory is presented, numerically implemented, and compared with experiments on lead zirconate titanate given in the literature.
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William S. Oates, William S. Oates, Xiao Peng, Xiao Peng, } "A multi-axial ferroelastic switching model using the homogenized energy approach", Proc. SPIE 7286, Modeling, Signal Processing, and Control for Smart Structures 2009, 72860O (3 April 2009); doi: 10.1117/12.815806; https://doi.org/10.1117/12.815806

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