Foundations of Nanomechanics

This text provides an introduction, at the level of an advanced student in engineering or physics, to the field of nanomechanics and nanomechanical devices. It provides a unified discussion of solid mechanics, with notation consistent with modern convention. A discussion of electrical transducer applications is included, covering such topics as piezoresistance and piezoelecticity. The text includes a discussion of fundamental and spurious sources of noise, and how these sources affect both the amplitude and phase of a mechanical resonator. A brief discussion of nonlinearity in mechanical systems is given. Demonstrated applications of these devices, as well as an introduction to fabrication techniques, are also discussed; a primer on optical as well as electron beam lithography is given in two concise chapters. The text concludes with an overview of potential future technologies, including a discussion of carbon nanotubes and other molecular assemblies.

Inhalt

1. Introduction: Linear Atomic Chains.- 2. Two- and Three-Dimensional Lattices.- 3. Properties of the Phonon Gas.- 4. Stress and Strain.- 5. Elasticity Relations.- 6. Static Deformations of Solids.- 7. Dynamical Behavior of Solids.- 8. Dissipation and Noise in Mechanical Systems.- 9. Experimental Nanostructures.- 10. Nanostructure Fabrication I.- 11. Nanostructure Fabrication II.- A. Mathematical Tools.- A.1 Scalars, Vectors, Tensors.- A.1.1 Vectors.- A.1.2 Tensors.- A.2 Eigenvectors and Eigenvalues.- A.3 The Dirac Delta Function.- B. Compatibility Relations for Stress and Strain.- C. Notation.