Computational stochastic heat transfer with model uncertainties in a plasterboard submitted to fire load and experimental validation

Sakji, Saoussen; Soize, Christian; Heck, J.-V.

doi:10.1002/fam.982

Cited by 8 publications

(10 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An observed very good coincidence in-between these methods and their results makes the proposed dual probabilistic computational technique very Dual probabilistic analysis of the transient heat transfer 213 attractive and promising in further computational physics experiments. One needs to mention that this methodology may find its application to stochastic fire simulation similar to the considerations provided by Sakji, Soize and Heck (2009) [7]. …”

Section: Introductionmentioning

confidence: 89%

Dual Probabilistic Analysis of the Transient Heat Transfer by the Stochastic Finite Element Method With Optimized Polynomial Basis

Rabenda¹,

Kamiński²

2017

ZNPRzBiS

View full text Add to dashboard Cite

The main aim of this work is to contrast three various probabilistic computational techniques, namely analytical, simulation and perturbation-based, in a solution of the transient heat transfer problem in specific axisymmetric problem with Gaussian uncertainty in physical parameters. It is done thanks to a common application of the Finite Element Method program ABAQUS (for the deterministic part) and symbolic algebra system MAPLE, where all probabilistic procedures have been programmed. We determine up to the fourth order probabilistic characteristics of the resulting temperatures, i.e. expectations, coefficients of variation, skewness and kurtosis together with the histograms -all as the functions of the input coefficient of variation of random heat conductivity coefficient. Stochastic perturbation technique is implemented here using the tenth order Taylor series expansion and traditional Least Squares Method released with polynomial basis whose final order is a subject of the separate statistical optimization. Probabilistic results computed show almost perfect agreement of all the probabilistic characteristics under consideration, which means that the traditional simulation method may be replaced due to the time and computer scale savings with the stochastic perturbation method.

show abstract

Section: Introductionmentioning

confidence: 89%

Dual Probabilistic Analysis of the Transient Heat Transfer by the Stochastic Finite Element Method With Optimized Polynomial Basis

Rabenda¹,

Kamiński²

2017

ZNPRzBiS

View full text Add to dashboard Cite

show abstract

“…In this section, we present a stochastic modeling of uncertainties for performing a robust thermomechanical analysis of a complex multilayer composite plate made up of a cardboard-plaster-cardboard (CPC) and submitted to a thermal loading [174,175].…”

Section: Robust Analysis Of the Thermomechanics Of A Complex Multilaymentioning

confidence: 99%

Uncertainty Quantification

Soize

2017

Interdisciplinary Applied Mathematics

124

View full text Add to dashboard Cite

show abstract

“…Both deterministic [1][2][3][4][5][6] and stochastic [7][8][9] heat-transfer modeling approaches were used. The choice of the type of model was, however, always a critical point.…”

Section: Introductionmentioning

confidence: 99%

Thermal properties of alkali‐activated aluminosilicate composite with lightweight aggregates at elevated temperatures

et al. 2010

View full text Add to dashboard Cite

SUMMARYThermal diffusivity, specific heat capacity and linear thermal expansion coefficient of a lightweight composite with alkali-activated aluminosilicate binder and heat-resistant aggregate mixture of expanded vermiculite and electrical porcelain are measured in a wide temperature range. Experimental results show that the studied material has good prerequisites for high-temperature applications. The apparent thermal diffusivity at one-sided heating is significantly lower than at room temperature, and decreases for temperatures higher than 400 • C. The effective specific heat capacity at elevated temperatures increases with temperature in almost the whole analyzed temperature range. The linear thermal expansion coefficient is substantially lower compared with common cement-based composites.

show abstract

Computational stochastic heat transfer with model uncertainties in a plasterboard submitted to fire load and experimental validation

Cited by 8 publications

References 21 publications

Dual Probabilistic Analysis of the Transient Heat Transfer by the Stochastic Finite Element Method With Optimized Polynomial Basis

Dual Probabilistic Analysis of the Transient Heat Transfer by the Stochastic Finite Element Method With Optimized Polynomial Basis

Uncertainty Quantification

Thermal properties of alkali‐activated aluminosilicate composite with lightweight aggregates at elevated temperatures

Contact Info

Product

Resources

About