.. _auto_math_simplified_failure:

*COMPUTE SIMPLIFIED RUBBER MATERIAL FAILURE VALUES BASED ON UNI-AXIAL AND EQUI-BIAXIAL FAILURE STRETCH RATIOS*
==============================================================================================================

Computes simplified rubber material failure constants (K or G1) from uni-axial and equi-biaxial failure stretch ratios or engineering strains. Use this worker when calibrating hyperelastic rubber material failure parameters for LS-DYNA or similar solvers from coupon test data.

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

Classification: **process**.

Tagged: ``"``, ``1``, ``G``, ``K``, ``_``, ``a``, ``b``, ``c``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Uni-Axial Failure
     - uni-axial_failure
     - scalar
     - 1
     - 
     - Uni-axial failure value (stretch ratio λ or engineering strain) measured from a uniaxial tension coupon test; dimensionless, defaults to 1 (no failure offset).
   * - Equi Bi-Axial Failure
     - equi_bi-axial_failure
     - scalar
     - 1
     - 
     - Equi-biaxial failure value (stretch ratio λ or engineering strain) measured from a biaxial tension coupon test; dimensionless, defaults to 1 (no failure offset).
   * - Input Type
     - input_type
     - string
     - stretch_ratio
     - 
     - Specifies whether the failure inputs are provided as stretch ratios ('stretch_ratio', λ = 1 + ε) or engineering strains ('eng_strain'); defaults to 'stretch_ratio'.
   * - Return Type
     - return_type
     - string
     - k
     - 
     - Selects which simplified failure constant to compute and return: 'k' for the K parameter or 'g1' for the G1 parameter; defaults to 'k'.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - math_simplified_failure_output_1
     - math_simplified_failure_output_1
     - scalar
     - Computed simplified rubber failure constant (K or G1, dimensionless scalar) corresponding to the selected return_type, derived from the provided uni-axial and equi-biaxial failure inputs.

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

- engineering.material.calibration
- engineering.material.characterization
- engineering.material.failure

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

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

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>math_simplified_failure</code>. Schema hash: <code>bc8ce10dd629</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
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