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.
1. 1. Introduction to smart and magneto-electro-elastic materials nanostructures - p. 1 2. 2. Mechanics of smart flexoelectric nanobeams - p. 23 3. 2.1 Background - p. 23 4. 2.2 Vibration analysis - p. 24 5. 2.3 Buckling analysis - p. 61 6. 3. Mechanics of smart flexoelectric nanostructures-nanoplates - p. 75 7. 3.1 Background - p. 75 8. 3.2 Vibration analysis - p. 78 9. 3.3 Buckling analysis - p. 130 10. 4. Mechanics of magneto-electro-elastic (MEE) nanostructures—nanobeams - p. 167 11. 4.1 Background - p. 167 12. 4.2 Vibration analysis of magneto-electro-elastic nanobeams - p. 169 13. 4.3 Buckling analysis of magneto-electro-elastic nanobeams - p. 231 14. 5. Mechanics of magneto-electro-elastic nanostructures—nanoplates - p. 283 15. 5.1 Background - p. 283 16. 5.2 Vibration analysis of magneto-electro-elastic nanobeams - p. 284 17. 5.3 Buckling analysis of MEE nanoplates - p. 358 18. Bibliography - p. 433 19. Index - p. 443
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.
1. 1. Introduction to smart and magneto-electro-elastic materials nanostructures - p. 1 2. 2. Mechanics of smart flexoelectric nanobeams - p. 23 3. 2.1 Background - p. 23 4. 2.2 Vibration analysis - p. 24 5. 2.3 Buckling analysis - p. 61 6. 3. Mechanics of smart flexoelectric nanostructures-nanoplates - p. 75 7. 3.1 Background - p. 75 8. 3.2 Vibration analysis - p. 78 9. 3.3 Buckling analysis - p. 130 10. 4. Mechanics of magneto-electro-elastic (MEE) nanostructures—nanobeams - p. 167 11. 4.1 Background - p. 167 12. 4.2 Vibration analysis of magneto-electro-elastic nanobeams - p. 169 13. 4.3 Buckling analysis of magneto-electro-elastic nanobeams - p. 231 14. 5. Mechanics of magneto-electro-elastic nanostructures—nanoplates - p. 283 15. 5.1 Background - p. 283 16. 5.2 Vibration analysis of magneto-electro-elastic nanobeams - p. 284 17. 5.3 Buckling analysis of MEE nanoplates - p. 358 18. Bibliography - p. 433 19. Index - p. 443