Bulk stress is bulk modulus times strain

When an object undergoes hydraulic compression due to a stress exerted by a surrounding liquid, the pressure (hydraulic stress) on the object due to the fluid is proportional to the fractional change in the object’s volume due to that pressure and the bulk modulus of the object. Thus, bulk modulus of a substance is a measure of its resistance to bulk compression.

Notes:

  1. This is an empirical law.

Links:

  1. Equation 12-25 on p. 341 of “Fundamentals of Physics” by David Halladay et al., 10th Ed.

bulk_stress

Bulk stress. See pressure.

Symbol:

Delta(p)

Latex:

\(\Delta p\)

Dimension:

pressure

bulk_modulus

bulk_modulus of the material.

Symbol:

K

Latex:

\(K\)

Dimension:

pressure

fractional_volume_change

fractional_change of volume. See Fractional change is change over initial value.

Symbol:

e_V

Latex:

\(e_{V}\)

Dimension:

dimensionless

law

Delta(p) = K * e_V

Latex:
\[\Delta p = K e_{V}\]