.. _sphx_glr_api_gallery_reliability_acceleration:

Accelerated life testing
------------------------

Carrying lives measured under high stress back to service conditions.


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  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

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    <div class="sphx-glr-thumbcontainer" tooltip="Svante Arrhenius (1889), measuring how fast acid inverts cane sugar, found that reaction rates grow with temperature as e^{-E_a/(k_B T)}. Many failure mechanisms of electronics, such as diffusion, corrosion and intermetallic growth, are reactions, so a part&#x27;s life at temperature T scales as e^{E_a/(k_B T)}. A test at 125 °C then stands in for years at 55 °C, through the acceleration factor (~engineeringkit.reliability.arrhenius_acceleration_factor). Lives measured at several temperatures fix E_a (~engineeringkit.reliability.arrhenius_fit).">

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  .. image:: /api/gallery/reliability/acceleration/images/thumb/sphx_glr_plot_01_arrhenius_accelerated_life_thumb.png
    :alt:

  :doc:`/api/gallery/reliability/acceleration/plot_01_arrhenius_accelerated_life`

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      <div class="sphx-glr-thumbnail-title">Arrhenius's law and accelerated life testing (1889)</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Henry Eyring (1935) derived reaction rates from statistical mechanics: reactants pass through an activated complex, and the rate is (k_B T/h)\,e^{-\Delta G^\ddagger/(k_B T)}. The prefactor T is absent from Arrhenius&#x27;s empirical law. For life testing it means L \propto T^{-1}e^{E_a/(k_B T)}, and an acceleration factor T_t/T_u times the Arrhenius one (~engineeringkit.reliability.eyring_acceleration_factor). The model extends naturally to non-thermal stresses such as voltage, here represented by the inverse power law (~engineeringkit.reliability.inverse_power_law_acceleration_factor).">

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  .. image:: /api/gallery/reliability/acceleration/images/thumb/sphx_glr_plot_02_eyring_activated_complex_thumb.png
    :alt:

  :doc:`/api/gallery/reliability/acceleration/plot_02_eyring_activated_complex`

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      <div class="sphx-glr-thumbnail-title">Eyring's activated complex (1935)</div>
    </div>


.. thumbnail-parent-div-close

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    </div>


.. toctree::
   :hidden:

   /api/gallery/reliability/acceleration/plot_01_arrhenius_accelerated_life
   /api/gallery/reliability/acceleration/plot_02_eyring_activated_complex