From Molecular Models¶to Continuum Mechanics

‌Progressive Damage Analysis of Laminated Composites using Continuum Damage Mechanics

In this paper, progressive damage and global failure of composite laminates under quasi-static, monotonic loading are investigated using 3D continuum damage mechanics. For this purpose, a finite element program has been developed using an eight-node 2D layered element including layer-wise plate theory. Damage analysis of a single orthotropic layer under various uniform in-plane and transverse l...

Some Topics from Continuum Mechanics Related to Brain Neuro-mechanics

A number of topics from continuum mechanics are presented that are useful in developing mathematical models of brain neuromechanics. Part I reviews basic concepts used to describe deformation or distortion of brain tissue, strains, stresses, their connection and material stiffness. Part II presents concepts from viscoelasticity used to describe the time dependent response of brain tissue such a...

CARBON NANOTUBE MECHANICS: Molecular Simulations & Continuum Models for Carbon Nanotubes

To realize the incredible structural applications potential of carbon nanotubes, it is important to characterize their material response. Molecular simulations offer advantages over physical testing due to their cost effectiveness, versatility and precision. Two continuum models for single wall nanotubes (SWNT) were previously developed based on the results from molecular simulations using two ...

Introduction to Continuum Mechanics

Continuum Thermo-Mechanics Fundamentals

We assume that at the continuum scales of interest here, the mass density ⇢ as well as the the momentum per unit volume ⇢u can be interpreted as well-defined averages of microscopic masses and momenta. That is, they are averages over minute spatial regions and time intervals, which can nevertheless be chosen large enough that there are negligible statistical fluctuations about those averages at...