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Viktorova, Irina; Alekseeva, Sofya; Wolfersberger, Michael; Roach, Aaron; Nick, Lilith SENSITIVITY ANALYSIS FOR THE MODEL OF HEAT EXPLOSION FOR THERMALLY INSULATED AND CONDUCTING SYSTEMS Journal Article Mechanics, Materials Science & Engineering, 20 , pp. 3-9, 2019, ISSN: 2412-5954. Abstract | Links | BibTeX @article{Viktorova2019,
title = {SENSITIVITY ANALYSIS FOR THE MODEL OF HEAT EXPLOSION FOR THERMALLY INSULATED AND CONDUCTING SYSTEMS},
author = {Irina Viktorova and Sofya Alekseeva and Michael Wolfersberger and Aaron Roach and Lilith Nick},
url = {https://mmse.xyz/en/sensitivity-analysis-for-the-model-of-heat-explosion-for-thermally-insulated-and-conducting-systems/},
issn = {2412-5954},
year = {2019},
date = {2019-01-09},
journal = {Mechanics, Materials Science & Engineering},
volume = {20},
pages = {3-9},
abstract = {The mechanical behavior of materials is temperature dependent. The unique thermal failure phenomenon known as heat explosion is a result of a specific combination of material properties and temperatures. The goal for this paper is to revisit a specific previously created model, and improve it by performing a sensitivity analysis on the input parameters to determine which parameter affects the occurrence of heat explosion the most. This is done by computational analysis of thermoviscoelastic parameters to determine how the critical values at which heat explosion occurs are affected by different inputs. Then, that data was used to perform a sensitivity analysis through the use of partial derivatives and vector field to determine which parameter had the highest degree of effect on the critical values. The results of this research make modeling heat explosion more realistic, and designing for it easier. },
keywords = {},
pubstate = {published},
tppubtype = {article}
}
The mechanical behavior of materials is temperature dependent. The unique thermal failure phenomenon known as heat explosion is a result of a specific combination of material properties and temperatures. The goal for this paper is to revisit a specific previously created model, and improve it by performing a sensitivity analysis on the input parameters to determine which parameter affects the occurrence of heat explosion the most. This is done by computational analysis of thermoviscoelastic parameters to determine how the critical values at which heat explosion occurs are affected by different inputs. Then, that data was used to perform a sensitivity analysis through the use of partial derivatives and vector field to determine which parameter had the highest degree of effect on the critical values. The results of this research make modeling heat explosion more realistic, and designing for it easier. |

**Authors: Irina Viktorova, Sofya Alekseeva, Michael Wolfersberger, Aaron Roach, Lilith Nick**

**ABSTRACT. **The mechanical behavior of materials is temperature dependent. The unique thermal failure phenomenon known as heat explosion is a result of a specific combination of material properties and temperatures. The goal for this paper is to revisit a specific previously created model, and improve it by performing a sensitivity analysis on the input parameters to determine which parameter affects the occurrence of heat explosion the most. This is done by computational analysis of thermoviscoelastic parameters to determine how the critical values at which heat explosion occurs are affected by different inputs. Then, that data was used to perform a sensitivity analysis through the use of partial derivatives and vector field to determine which parameter had the highest degree of effect on the critical values. The results of this research make modeling heat explosion more realistic, and designing for it easier.

**Keywords:**heat explosion, sensitivity analysis, Fourier’s Law, mechanical failure, thermal failure, cyclic loading

DOI 10.2412/mmse.38.79.483

**References**

[1] D. Meinkohn, “Heat Explosion Theory and Vibrational Heating of Polymers,” International Journal of Heat and Mass Transfer, Vol. 25, No. 4, 1981, pp. 645-648. Doi:10.1016/0017-9310(81)90008-9

[2] Viktorova, I., Scruggs, M., Zeller, I., & Fairchild, K. (2012). An Analysis of Heat Explosion for Thermally Insulated and Conducting Systems. Applied Mathematics, 03(06), 535-540. doi:10.4236/am.2012.36081

[3] I. Viktorova, J. V. Suvorova and A. E. Osokin, “Self Heating of Inelastic Composites under Cyclic Deformation,” *Izvestiya AN USSR Mechanics of Solids*, Vol. 19, No. 1, 1984, pp. 99-105.

[4] I. Viktorova, “The Dependence of Heat Evaluation on Parameters of Cyclic Deformation Process,” *Izvestiya AN USSR Mechanics of Solids, *No. 4, 1981, pp. 110-114.

Mechanics, Materials Science & Engineering Journal by Magnolithe GmbH is licensed under a Creative Commons Attribution 4.0 International License.

Based on a work at www.mmse.xyz.

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