Definition
Bulk modulus (K) is the ratio of hydrostatic stress (p) on an object to the resulting volumetric strain (ε v ), which is the ratio of volume change (ΔV) to the initial volume (V o ).
Hydrostatic stress cannot produce shear stress ; however, principal stress acting in one direction produces strain in all three directions, as described by Hooke’s law and Poisson’s ratio (ν). Therefore,
where E is the Young’s modulus . Combining Eqs. 1 and 2a, b, c
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References
Mott PH, Dorgan JR, Roland CM (2008) The bulk modulus and Poisson’s ratio of “incompressible” materials. J Sound Vib 312:572–575
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Keaton, J.R. (2017). Bulk modulus. In: Bobrowsky, P., Marker, B. (eds) Encyclopedia of Engineering Geology. Encyclopedia of Earth Sciences Series. Springer, Cham. https://doi.org/10.1007/978-3-319-12127-7_38-1
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DOI: https://doi.org/10.1007/978-3-319-12127-7_38-1
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