In this paper there is presented the mechanical behavior of the one lead-zirconate-titanate by its atomic number and its certain mechanical behavior is simulated by the mathematical modeling and ABAQUS software for smart materials, as well as prediction of mechanical behaviors. Also in this smart material (Pb-Zr-Ti) the grain size according to molar ratio is studied. This mechanical behavior is modeled by the exponential and polynomial formula from one to ten degree. Next there are defined the new relations for mechanical behavior and composition weight ratio, between composed elements for triplex lead-zirconate-titanate and dual smart materials. Triplex lead-zirconate-titanate has been selected as main and important material for the development of smart structures. In addition, the relation between atomic number and weight ratio in one smart material (Ni-Ti) is investigated briefly. In this work, change of resistance and voltage, pressure, grain size, molar ratio, residual stress, content of zirconate and the other mechanical properties are studied.
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