Hooke's law
Units of measurement

In SI units, displacements are measured in meters (m), and forces in newtons (N or kg·m/s). Therefore, the spring constant k, and each element of the tensor κ, is measured in newtons per meter (N/m), or kilograms per second squared (kg/s).

For continuous media, each element of the stress tensor σ is a force divided by an area; it is therefore measured in units of pressure, namely pascals (Pa, or N/m, or kg/(m·s). The elements of the strain tensor ε are dimensionless (displacements divided by distances). Therefore, the entries of c are also expressed in units of pressure.
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