We derive thermo-mechanical continuum equations from Molecular Dynamics (MD) equations using the Generalized Mathematical Homogenization (GMH) theory developed by the authors for 0 K applications. GMH constructs an array of atomistic unit cell problems coupled with a thermo-mechanical continuum problem. The unit cell problem derived is a molecular dynamics problem defined for the perturbation f...

The lifetime of micro electro–thermo–mechanical actuators with complex electro–thermo–mechanical coupling mechanisms can be decreased significantly due to unexpected failure events. Even more serious is the fact that various failures are tightly coupled due to micro-size and multi-physics effects. Interrelation between performance and potential failures should be established to predict reliabil...

In this article, the problem of time-dependent stress redistribution of a piezomagnetic rotating thick-walled cylinder under an axisymmetric hygro-thermo-magneto-electro-mechanical loading is analyzed analytically for the condition of plane strain. Using the constitutive equations, a differential equation is found in which there are creep strains. Primarily, eliminating creep strains, an analyt...

To understand the friction stir welding process, it is very important to know the nature of the material flow in and around the tool. The process is a combination of both thermal as well as mechanical work i.e. it is a coupled thermo-mechanical process. Numerical simulations are very much essential in order to obtain a complete knowledge of the process as well as the physics underlying it. In t...

High temperature differences between the ceramic parts in thermo-electric modules (TEMs) intended for high temperature applications makes the TEMs vulnerable to the elevated thermal stress leading to possible structural (mechanical) failures. The problem of reducing the interfacial shearing stress in a TEM structure is addressed using analytical and finite-element-analysis (FEA) modeling. The m...

This study presents a new approach to control the nonlinear dynamics of an adaptive absorber using shape memory alloy (SMA) element. Shape memory alloys are classified as smart materials that can remember their original shape after deformation. Stress and temperature-induced phase transformations are two typical behaviors of shape memory alloys. Changing the stiffness associated with phase tran...

Polypropylene is extensively used for varied applications due to its low cost, low density, high thermal stability and resistance to corrosion. Enhanced mechanical properties of Polypropylene can be achieved by mixing it with clays to form nanocomposites which increases its utility. Polypropylene Nano composites are formed by mixing polypropylene with calcium carbonate nano particles. This resu...

These set of notes describe cavity optomechanics in the presence of additional thermo-optic tuning of the cavity resonance. We find that thermo-optic tuning results in correction factors to both the optical spring and optomechanical gain. In addition there is an overall saturation of the optomechanical coupling. These effects can be large for systems with large static thermo-optic tuning and fa...