Static and Dynamic Problems of Nanobeams and Nanoplates

This book will deal with different sections associated with bending, buckling and vibration of nanobeams and nanoplates along with systematic description of handling the complexities when nanoscales are considered. The introduction includes basic ideas concerned with nanostructures, the algorithms and iterations followed in numerical methods and introduction to beam and plate theories in conjunction with nonlocal elasticity theory applied in nanostructures.

Next, the investigation of nanobeams and nanoplates subjected to different sets of boundary conditions based on various nonlocal theories will be included. The varieties of physical and geometrical parameters that influence the bending, buckling and vibration mechanisms will be summarized.

Finally, effect of environments such as thermal environment, Winkler–Pasternak elastic foundations and non-uniformity etc. on the buckling and vibration mechanisms will be illustrated.

Contents:

• Introduction
• Analytical Methods
• Numerical Methods
• Bending of Nanobeams
• Buckling of Nanobeams
• Vibration of Nanobeams
• Vibration of Nanobeams with Complicating Effects
• Bending and Buckling of Nanoplates
• Vibration of Nanoplates
• Vibration of Nanoplates with Complicating Effects

Readership: Advanced undergraduate, professionals and researchers in materials science, nanomaterials, applied mathematics, low-dimensional systems and nanostructures, vibration, computational physics, basic physics, civil engineering, mechanical engineering and aerospace engineering etc.
Key Features:

• Part I of this book contains microelectronic processing and part II of the book gives details about semiconductor nanostructures and shows structure, band model and physics of about 12 basic nanostructures
• Includes not only synthesis and fabrication of nanostructures and nanomaterials but also includes properties and applications, in particular for inorganic nanomaterials
• Introduction to nanoscale science and technology