Effects of High Pressure on the Thermal Expansion of Solids with a Linear Us-up Relationship

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Abstract
A theoretical technique for determining the volume dependence of the thermal expansion coefficient α along an isotherm is developed for solids which exhibit a linear Us‐up (i.e., shock velocity‐particle velocity) relationship. The method is founded on an accurate Grüneisen equation of state utilizing the temperature‐independent Grüneisen parameter γ which has been calculated from experimental shock data. Detailed results are presented for several isotherms at pressures as high as 1 Mbar. Based on the accuracy of the Grüneisen parameter, the accuracy of the calculated thermal coefficient α is estimated to be within ±10% down to 20% compression with greater accuracy for lower compressions.

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