Multi-field approach in mechanics of structural solids

Structural Mechanics Approach to Investigate the Hyperelastic Mechanical Behavior of Single and Multi-wall Carbon Nanotubes

In the current research, a three-dimensional finite element model was considered to predict the mechanical behavior of Single Wall (SWCNTs) and Multi Wall Carbon Nanotubes (MWCNTs). Assuming the nonlinear elastic behavior of C-C bond in large strains, hyperelastic models were considered. Literature review revealed that the material parameters of the hyperelastic models have been determined from...

Rigorous field-theoretical approach to the contact mechanics of rough elastic solids.

A statistical field theory is formulated, which allows one to calculate the pressure distribution Pr(p) in a contact formed by an elastic body and a rigid counter face of arbitrary topography. It is a cumulant expansion, which contains Persson's contact mechanics theory as the leading-order term. Our approach provides a framework with which corrections can now be derived systematically. As an e...

Mechanics of Solids

The application of the principles of mechanics to bulk matter is conventionally divided into the mechanics of fluids and the mechanics of solids. The entire subject is often called continuum mechanics, particularly when we adopt the useful model of matter as being continuously divisible, making no reference to its discrete structure at microscopic length scales well below those of the applicati...

Multi-material phase field approach to structural topology optimization

Multi-material structural topology and shape optimization problems are formulated within a phase field approach. First-order conditions are stated and the relation of the necessary conditions to classical shape derivatives are discussed. An efficient numerical method based on an H–gradient projection method is introduced and finally several numerical results demonstrate the applicability of the...

Structural transitions in solids.