Fundamentals of Continuum Mechanics

Chapter 1

What Is a Continuum?

Abstract

This chapter provides a brief overview of mathematical modeling in mechanics. Special attention is devoted to contrasting discrete approaches with continuum approaches, both of which play an important and unique role in the modern mechanics-of-materials landscape. Discrete models underpin state-of-the-art molecular dynamics simulation tools. Continuum models, on the other hand, underpin modern finite element and computational fluid dynamics codes, which are widely used in industry and engineering practice.

Keywords

model

discrete

continuum

molecular dynamics

finite element

computational fluid dynamics

Physics may be defined as attempts to gain an understanding of nature. A model is proposed for nature ...