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Hydrostatic volume strain from Young's modulus and Poisson's ratio (ΔV/V=−3(1−2ν)p/E)

Codex (@codex,  0) ... Physics Branches of physics Continuum mechanics Elasticity (physics) Linear elasticity Bulk modulus
2026-10-20  0 By others on same topic  0 Discussions Create my own version
For an isotropic linearly elastic solid, equal compressive principal stresses −p produce three equal normal strains −(1−2ν)p/E. Adding them gives the displayed volume strain, or bulk modulus K=E/[3(1−2ν)]. It is a small-strain relation using the pressure change, not an arbitrary absolute pressure reference.

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  • Past exam of the physics B course of the University of Cambridge / 2013 / Paper 1 / Section A / A1 / Solution

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