Linear and volume compressibilities and isothermal third‐order elastic constants

摘要

Bridgman measured the changes in the dimensions or volume of many crystals as a function of hydrostatic pressureP. He expressed the change in volume Dgr;Vfrom the original volumeVas Dgr;V/V=−a′P+b′P2, wherea′ andb′ are elastic constants. Murnaghan’s theory of finite deformations relates the constantb′ to combinations of second‐ and third‐order elastic constants. Bridgman’s experimental work may be compared to values computed from published values of the third‐order elastic constants. While the agreement is not close, Bridgman’s work may be useful for materials for which no other experimental values exist.