A generalization of this law to three dimensions due to Cauchy incorporates a 6 by 6 matrix known as the compliance matrix.
A generalization of this law to three dimensions due to Cauchy incorporates a 6 by 6 matrix known as the compliance matrix. Its constant differs for each material, and can be approximated by multiplying the mass of the atom by the bulk modulus and dividing by the density times the square of the atomic spacing of the material. It was originally stated as F equals k times x, but is also known in a generalization stating that stress is directly proportional to strain. FTP, what is this law of elasticity stating that the amount a spring deforms is proportional to the applied force?
A generalization of this law to three dimensions due to Cauchy incorporates a 6 by 6 matrix known as the compliance matrix.
Hooke's law