Rankine–Hugoniot conditions
![](/Images/godic/202501/18/Rankine_Hugoniot_Shock1555.png")
![Shock Hugoniot and Rayleigh line in the p-v plane. The curve represents a plot of equation (24) with p1, v1, c0, and s known. If p1 = 0, the curve will intersect the specific volume axis at the point v1.](/Images/godic/202501/18/HugoniotRaleigh1555.png")
![Hugoniot elastic limit in the p-v plane for a shock in an elastic-plastic material.](/Images/godic/202501/18/HEL_plain.svg1556.png")
The Rankine–Hugoniot conditions, also referred to as Rankine–Hugoniot jump conditions or Rankine–Hugoniot relations, describe the relationship between the states on both sides of a shock wave in a one-dimensional flow in fluids or a one-dimensional deformation in solids. They are named in recognition of the work carried out by Scottish engineer and physicist William John Macquorn Rankine and French engineer Pierre Henri Hugoniot. See also Salas (2006) for some historical background.