Easy Elasticity Theory

 We start with Hooke's law for the strain tensor, and then substitute the E and nu material properties for K and  mu. The resul...

Consider a rod with a rectangular cross section, so that Cartesian coordinates can be used in 3 dimensions.  Let the longer dimension of th...

In the last blog, we saw that two material constants are required to describe elastic behavior in solids - the shear modulus G and the modu...

In order to combine the shear and compression terms into one expression for Hooke's law, Landau and Lifshitz make use of the Kronecker d...

Suppose we have a cube subject only to normal stresses on its six faces, as shown below.  We expect the cube to expand, to form a slightly l...

Hooke's Law requires only one material property to describe shear, i.e. one constant, which is G , called the modulus of rigidity, or ...

The relationship between stress and strain in Hooke's Law is one of simple linear proportionality, with the constant of proportionality ...