.. _auto_curve_scale_cowper_symonds:

*SCALE Y VALUES BASED ON CP*
============================

Scales the y-values of a quasi-static stress-strain curve to dynamic strain-rate conditions using the Cowper-Symonds visco-plastic model. For each supplied strain rate, the worker computes the dynamic scaling factor (1 + (ε̇/C)^(1/P)) with an optional strain-dependent decay controlled by Beta, and returns one scaled curve per rate. Use this worker when preparing rate-dependent material curves for LS-DYNA MAT_24 or similar keyword inputs.

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

Classification: **process**.

Tagged: ``"``, ``-``, ``2``, ``4``, ``_``, ``a``, ``c``, ``d``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Quasi-static Curve
     - quasi-staticcurvetobescaledby_cower-symonds
     - vector
     - —
     - 
     - Quasi-static stress-strain (or force-displacement) curve whose y-values will be scaled; supply as a vector (x, y pairs) representing the baseline rate-independent response.
   * - Rates
     - rates
     - scalar
     - 1.0
     - 
     - Comma-separated list of strain rates (s⁻¹) at which scaled curves are to be generated; default is 1.0, which produces a single curve at unit rate.
   * - C Parameter
     - c_parameter
     - scalar
     - 40.0
     - 
     - Cowper-Symonds coefficient C (s⁻¹); controls the sensitivity of the dynamic amplification factor to strain rate — default 40.0 is typical for mild steel.
   * - P Parameter
     - p_parameter
     - scalar
     - 5.0
     - 
     - Cowper-Symonds exponent P (dimensionless); governs the shape of the rate-hardening curve — default 5.0 is typical for mild steel.
   * - Beta
     - beta
     - scalar
     - 0.05
     - 
     - Strain-decay coefficient Beta (dimensionless); introduces a gradual reduction of the dynamic amplification as a function of plastic strain — default 0.05; set to 0.0 to disable decay.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - curve_scale_cowper_symonds_output_1
     - curve_scale_cowper_symonds_output_1
     - vector
     - Collection of dynamically scaled stress-strain curves (one per supplied strain rate), each with the same x-values as the input curve and y-values amplified by the Cowper-Symonds factor.

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

- data.curve.transform
- engineering.material.calibration
- 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=curve_scale_cowper_symonds <https://www.d3view.com/api/workflow/example?id=curve_scale_cowper_symonds>`_

.. raw:: html

   <hr style="margin-top:2em">
   <p style="font-size:11px;color:#888">
   Auto-generated from <code>transformation</code> schema. Worker id: <code>curve_scale_cowper_symonds</code>. Schema hash: <code>1bdcc96c49a1</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>