Elastic energy density of bulk compression via pressure
=======================================================

Volumetric density of the elastic energy of a body that is under bulk
compression is proportional to the square of the pressure in the body
and inversely proportional to the bulk modulus of the body's material.

**Conditions:**

#. The body undergoes bulk compression.

**Links:**

#. Formula 77.5 on p. 393 of "General Course of Physics" (Obschiy kurs fiziki), vol. 1 by Sivukhin D.V. (1979).

.. py:currentmodule:: symplyphysics.laws.dynamics.deformation.elastic_energy_density_of_bulk_compression_via_pressure

.. py:data:: elastic_energy_density

    Elastic energy of the deformed body per unit of its volume. See :attr:`~symplyphysics.symbols.basic.energy_density`

Symbol:
    :code:`w`

Latex:
    :math:`w`

Dimension:
    :code:`energy/volume`


.. py:data:: pressure

    :attr:`~symplyphysics.symbols.classical_mechanics.pressure` in the deformed body.

Symbol:
    :code:`p`

Latex:
    :math:`p`

Dimension:
    :code:`pressure`


.. py:data:: bulk_modulus

    :attr:`~symplyphysics.symbols.classical_mechanics.bulk_modulus` of the material.

Symbol:
    :code:`K`

Latex:
    :math:`K`

Dimension:
    :code:`pressure`


.. py:data:: law

    :code:`w = p^2 / (2 * K)`


    Latex:
        .. math::
            w = \frac{p^{2}}{2 K}