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has been cited by the following article:

• TITLE: An Analysis of Heat Explosion for Thermally Insulated and Conducting Systems

  AUTHORS: Irina Viktorova, Michael Scruggs, Ian Zeller, Kyle Fairchild

  KEYWORDS: Computational Analysis; Conducting System; Heat Explosion; Heating Parameters; Insulated System; Self-Heating; Thermal Failure

  JOURNAL NAME: Applied Mathematics, Vol.3 No.6, June 21, 2012

  ABSTRACT: In the scope of material science, it is well understood that mechanical behavior of a material is temperature dependent. The converse is also true and for specific loading cases contributes to a unique thermal failure mechanism known as “heat explosion”. The goal for this paper is to improve the mathematical models for predicting heat explosion by using a specific case of the Fourier heat transfer system that focuses on thermoviscoelastic properties of materials. This is done by using a computational analysis to solve for an internal heat parameter that determines thermal failure at a critical value. This critical value is calculated under conditions either accounting for or negating the effect of heat dissipated by the material. This model is an improvement on existing models because it accounts for material specific properties and in doing so limits mathematical assumptions of the system. By limiting the assumptions in the conditions of the model, the model becomes more accurate and useful in regards to material design.