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Hydrostatic volume strain from Young's modulus and Poisson's ratio
(
Δ
V
/
V
=
−
3
(
1
−
2
ν
)
p
/
E
)
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Physics
Branches of physics
Continuum mechanics
Elasticity (physics)
Linear elasticity
Bulk modulus
2026-10-20
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For an isotropic linearly elastic
solid
, equal compressive principal
stresses
−
p
produce three equal normal
strains
−
(
1
−
2
ν
)
p
/
E
. Adding them gives the displayed
volume
strain
, or
bulk modulus
K
=
E
/
[
3
(
1
−
2
ν
)]
. It is
a
small-
strain
relation using the
pressure
change, not an arbitrary absolute
pressure
reference
.
Ancestors
(7)
Bulk modulus
Linear elasticity
Elasticity (physics)
Continuum mechanics
Branches of physics
Physics
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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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