.. _auto_math_bulk_to_young:

*COMPUTE YOUNGS MODULUS BASED ON BULK MODULUS*
==============================================

Converts Bulk Modulus to Young's Modulus using the standard isotropic elasticity relation E = 3K(1 − 2ν), where K is the bulk modulus and ν is Poisson's ratio. Use this worker whenever Young's Modulus is needed but only bulk stiffness data is available.

When to use
-----------

Classification: **process**.

Tagged: ``bulk_modulus``, ``isotropic_elasticity``, ``material_conversion``, ``poissons_ratio``, ``scalar_math``, ``youngs_modulus``.

Inputs
------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20 20 20

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Bulk Modulus
     - bulk_modulus
     - scalar
     - —
     - ✓
     - Bulk modulus K of the material (scalar, pressure units e.g. GPa or MPa); required input — no default is provided, so a value must be supplied.
   * - Poissons Ratio
     - poissons_ratio
     - scalar
     - 0.3
     - 
     - Poisson's ratio ν of the material (dimensionless scalar, 0 < ν < 0.5); defaults to 0.3, which is a reasonable approximation for many metals — override for rubber-like or other materials.

Outputs
-------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20

   * - Label
     - ID
     - Type
     - Description
   * - math_bulk_to_young_output_1
     - math_bulk_to_young_output_1
     - scalar
     - Computed Young's Modulus E (scalar, same pressure units as the input Bulk Modulus), derived via E = 3K(1 − 2ν).

Disciplines
-----------

- data.curve.transform
- engineering.material.characterization

Runnable example
----------------

A runnable example is registered for this worker. Open the example workflow on the d3VIEW canvas: `/api/workflow/example?id=math_bulk_to_young <https://www.d3view.com/api/workflow/example?id=math_bulk_to_young>`_

.. raw:: html

   <hr style="margin-top:2em">
   <p style="font-size:11px;color:#888">
   Auto-generated from <code>transformation</code> schema. Worker id: <code>math_bulk_to_young</code>. Schema hash: <code>18751e3a5155</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>