BACKWARD EVALUATION OF THE PZT VOLUME FRACTION IN PZT-SILICONE RESIN COMPOSITE BASED ON THE FAILURE STRAIN AND YOUNG MODULUS

N. E. Nwankwo, C.C. Emekwisia, C.N. Nwambu, N. H. Edeh, G. A. Aruya, C. I. Nwoye

Abstract


                                                      

ABSTRACT: Backward evaluation of the PZT volume fraction in PZT-silicone resin composite was achieved based on the failure strain and Young modulus of the composite, using a derived empirical model; ɤ  =  φlnEc- nξc + N. Validity of the derived model anchored on the core model structure; ɤ+ nξc ≈ φlnEc+ N, considering that both sides of the structure are correspondingly near equal. This research presents PZT particle and silicone resin as the filler and matrix respectively. The trend and spread of results points shown in previous research significantly agrees with predicted results. Evaluated correlations between the PZT volume fraction and failure strain & Young modulus, using model-predicted results were all ˃ 0.99. Results evaluation show that the standard error incurred in predicting the PZT volume fraction, relative to the experimental results is ˂ 1.22%, for each value of the failure strain and Young modulus. This translates to over 98% model confidence level. Using experimental and model-predicted results, the PZT volume fraction per unit Young modulus and failure strain were 0.8316, 0.8503 & 0.8379 (%/MPa) and 1.2913, 1.3204 and 1.3012 respectively. The overall maximum deviation of the model-predicted PZT volume fraction from experimental results was 5.72%. The derived model will predict PZT volume fractions, within the experimental results range, on substituting into the model, evaluated failure strains and Young moduli, providing the boundary conditions are considered.

KEYWORDS: Evaluation, PZT volume fraction, PZT-silicon resin composite, failure strain, Young modulus


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