Category: Engineering Mechanics.

CAUCHY’s Stress Tensor

Kinetics: Forces and Stresses

In the previous chapter, the geometrical description of deformation and motion of a continuum have been addressed. Both are generally…

Change of Reference Frame

If two observers describe their spaces by position vectors with respect to their individual points of reference, then

Material and Local Time Derivatives

Strain Rates

Strain tensors

As the deformation gradient may include (rigid) rotations, it cannot be used to describe the deformation of a material body.…

Deformation

Kinematics: Motion and Deformation

The following chapter provides an introduction into the description of finite (large) deformations and hence abandons the common assumption made…

Continuum Hypothesis

Introduction Continuum mechanics is concerned with motion and deformation of material objects, called bodies, under the action of forces. If…

Characterisation of Materials

Materials testing has a long tradition and is based on the desire of scientists to measure the mechanical properties of…

Models in the Mechanics of Materials

Disambiguation Models are generally used in science and engineering to reduce a complex reality for detailed investigations. The prediction of…

Introduction

In the early stages of scientific development, “physics” mainly consisted of mechanics and astronomy. In ancient times CLAUDIUS PTOLEMAEUS of…

Work, Power and Energy

INTRODUCTION Whenever a force acts on a body, and the body undergoes some displacement, then work is said to be…