Mechanics of Smart Magneto-electro-elastic Nanostructures provides mathematical models for buckling and vibration analysis of flexoelectric and magneto-electro-elastic nanostructures under thermal environment effects. Analytical results are presented in each chapter based on changes in different parameters, including various electric and magnetic potential, non-local parameters or different boundary conditions and their effects on vibration and buckling behavior on nanobeams and nanoplates. Key characteristics of smart materials and their response to external factors are presented, including size-dependency of nanostructures, effect of various gradient indexes, thermal environment effects, and effects of elastic foundation.

Stream of discoveries, gadgets, engineering marvels, and farsighted contrivances are poured by fecund imaginations of both Leonardo and Newton. Newton invented the reflecting telescope, Leonardo the helicopter; Newton, the binomial theorem, Leonardo, the parachute, submarine, and tank. So Newton's discoveries were expressed in equations. The theory of equations is a traditional course of mathematics which deals with the theory and solutions of polynomial and linear equations. The practical application of this subject has its greatest contribution to humankind to grow in an intense curiosity about the mathematical modeling. This book deals with the formation of equations and their corresponding solutions in accordance with numerical computation.