Log in

Relevant bibliographies by topics / General polynomial chaos expansion

Contents

Journal articles
Dissertations / Theses
Book chapters
Conference papers

Academic literature on the topic 'General polynomial chaos expansion'

Author: Grafiati

Published: 10 March 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'General polynomial chaos expansion.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "General polynomial chaos expansion"

1

SEPAHVAND, K., S. MARBURG, and H. J. HARDTKE. "UNCERTAINTY QUANTIFICATION IN STOCHASTIC SYSTEMS USING POLYNOMIAL CHAOS EXPANSION." International Journal of Applied Mechanics 02, no. 02 (2010): 305–53. http://dx.doi.org/10.1142/s1758825110000524.

Full text

Abstract:

In recent years, extensive research has been reported about a method which is called the generalized polynomial chaos expansion. In contrast to the sampling methods, e.g., Monte Carlo simulations, polynomial chaos expansion is a nonsampling method which represents the uncertain quantities as an expansion including the decomposition of deterministic coefficients and random orthogonal bases. The generalized polynomial chaos expansion uses more orthogonal polynomials as the expansion bases in various random spaces which are not necessarily Gaussian. A general review of uncertainty quantification

APA, Harvard, Vancouver, ISO, and other styles

2

Zhao, Wei, and Ji Ke Liu. "Stochastic Finite Element Method Using Polynomial Chaos Expansion." Advanced Materials Research 199-200 (February 2011): 500–504. http://dx.doi.org/10.4028/www.scientific.net/amr.199-200.500.

Full text

Abstract:

We present a new response surface based stochastic finite element method to obtain solutions for general random uncertainty problems using the polynomial chaos expansion. The approach is general but here a typical elastostatics example only with the random field of Young's modulus is presented to illustrate the stress analysis, and computational comparison with the traditional polynomial expansion approach is also performed. It shows that the results of the polynomial chaos expansion are improved compared with that of the second polynomial expansion method.

APA, Harvard, Vancouver, ISO, and other styles

3

SEPAHVAND, K., S. MARBURG, and H. J. HARDTKE. "STOCHASTIC STRUCTURAL MODAL ANALYSIS INVOLVING UNCERTAIN PARAMETERS USING GENERALIZED POLYNOMIAL CHAOS EXPANSION." International Journal of Applied Mechanics 03, no. 03 (2011): 587–606. http://dx.doi.org/10.1142/s1758825111001147.

Full text

Abstract:

In this paper, the application of generalized polynomial chaos expansion in stochastic structural modal analysis including uncertain parameters is investigated. We review the theory of polynomial chaos and relating error analysis. A general formulation for the representation of modal problems by the polynomial chaos expansion is derived. It shows how the modal frequencies and modal shapes are influenced by the parameter uncertainties. The key issues that arise in the polynomial chaos simulation of modal analysis are discussed for two examples: a discrete 2-DOF system and continuous model of a

APA, Harvard, Vancouver, ISO, and other styles

4

Yin, Shengwen, Yuan Gao, Xiaohan Zhu, and Zhonggang Wang. "Anisotropy-Based Adaptive Polynomial Chaos Method for Hybrid Uncertainty Quantification and Reliability-Based Design Optimization of Structural-Acoustic System." Mathematics 11, no. 4 (2023): 836. http://dx.doi.org/10.3390/math11040836.

Full text

Abstract:

The evaluation of objective functions and component reliability in the optimisation of structural-acoustic systems with random and interval variables is computationally expensive, especially when strong nonlinearity exhibits between the response and input variables. To reduce the computational cost and improve the computational efficiency, a novel anisotropy-based adaptive polynomial chaos (ABAPC) expansion method was developed in this study. In ABAPC, the anisotropy-based polynomial chaos expansion, namely the retained order of polynomial chaos expansion (PCE) differs from each variable, is u

APA, Harvard, Vancouver, ISO, and other styles

5

SEPAHVAND, K., S. MARBURG, and H. J. HARDTKE. "NUMERICAL SOLUTION OF ONE-DIMENSIONAL WAVE EQUATION WITH STOCHASTIC PARAMETERS USING GENERALIZED POLYNOMIAL CHAOS EXPANSION." Journal of Computational Acoustics 15, no. 04 (2007): 579–93. http://dx.doi.org/10.1142/s0218396x07003524.

Full text

Abstract:

This paper presents a numerical algorithm which is using generalized polynomial chaos combined with the finite difference method for the solution of the one-dimensional wave equation with stochastic physical parameters. The stochastic parameters are represented by the Hermite polynomial chaos. A spectral–finite difference model for the numerical solution is introduced using generalized polynomial chaos expansion. The general conditions for convergence and stability of numerical algorithms are derived. Finally, the method is applied to a vibrating string. Results are compared with those of a Mo

APA, Harvard, Vancouver, ISO, and other styles

6

Panayirci, H. M. "Efficient solution for Galerkin-based polynomial chaos expansion systems." Advances in Engineering Software 41, no. 12 (2010): 1277–86. http://dx.doi.org/10.1016/j.advengsoft.2010.09.004.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Jacquelin, E., O. Dessombz, J. J. Sinou, S. Adhikari, and M. I. Friswell. "Polynomial chaos-based extended Padé expansion in structural dynamics." International Journal for Numerical Methods in Engineering 111, no. 12 (2017): 1170–91. http://dx.doi.org/10.1002/nme.5497.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Novák, Lukáš, Miroslav Vořechovský, Václav Sadílek, and Michael D. Shields. "Variance-based adaptive sequential sampling for Polynomial Chaos Expansion." Computer Methods in Applied Mechanics and Engineering 386 (December 2021): 114105. http://dx.doi.org/10.1016/j.cma.2021.114105.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Zhang, Wei, Qiang Wang, and Chao Yan. "An intelligent polynomial chaos expansion method based upon features selection." Journal of Physics: Conference Series 1786, no. 1 (2021): 012046. http://dx.doi.org/10.1088/1742-6596/1786/1/012046.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Chen, Ming, Xinhu Zhang, Kechun Shen, and Guang Pan. "Polynomial chaos expansion for uncertainty analysis and global sensitivity analysis." Journal of Physics: Conference Series 2187, no. 1 (2022): 012071. http://dx.doi.org/10.1088/1742-6596/2187/1/012071.

Full text

Abstract:

Abstract Uncertainty analysis has received increasing attention across all kinds of scientific and engineering fields recently. Uncertainty analysis is often conducted by Monte Carlo simulation (MCS), while with low convergence rate. In this paper, numerical test examples as benchmarks and engineering problems in practice are studied by polynomial chaos expansion (PCE) and compared with the solutions got by MCS. Results show that PCE approach establishes accurate surrogate model for complicated original model with efficiency to conduct uncertainty analysis and global sensitivity analysis. What

APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "General polynomial chaos expansion"

1

Szepietowska, Katarzyna. "POLYNOMIAL CHAOS EXPANSION IN BIO- AND STRUCTURAL MECHANICS." Thesis, Bourges, INSA Centre Val de Loire, 2018. http://www.theses.fr/2018ISAB0004/document.

Full text

Abstract:

Cette thèse présente une approche probabiliste de la modélisation de la mécanique des matériaux et des structures. Le dimensionnement est influencé par l'incertitude des paramètres d'entrée. Le travail est interdisciplinaire et les méthodes décrites sont appliquées à des exemples de biomécanique et de génie civil. La motivation de ce travail était le besoin d'approches basées sur la mécanique dans la modélisation et la simulation des implants utilisés dans la réparation des hernies ventrales. De nombreuses incertitudes apparaissent dans la modélisation du système implant-paroi abdominale. L'ap

APA, Harvard, Vancouver, ISO, and other styles

2

Nydestedt, Robin. "Application of Polynomial Chaos Expansion for Climate Economy Assessment." Thesis, KTH, Optimeringslära och systemteori, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-223985.

Full text

Abstract:

In climate economics integrated assessment models (IAMs) are used to predict economic impacts resulting from climate change. These IAMs attempt to model complex interactions between human and geophysical systems to provide quantifications of economic impact, typically using the Social Cost of Carbon (SCC) which represents the economic cost of a one ton increase in carbon dioxide. Another difficulty that arises in modeling a climate economics system is that both the geophysical and economic submodules are inherently stochastic. Even in frequently cited IAMs, such as DICE and PAGE, there exists

APA, Harvard, Vancouver, ISO, and other styles

3

Koehring, Andrew. "The application of polynomial response surface and polynomial chaos expansion metamodels within an augmented reality conceptual design environment." [Ames, Iowa : Iowa State University], 2008.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

4

Price, Darryl Brian. "Estimation of Uncertain Vehicle Center of Gravity using Polynomial Chaos Expansions." Thesis, Virginia Tech, 2008. http://hdl.handle.net/10919/33625.

Full text

Abstract:

The main goal of this study is the use of polynomial chaos expansion (PCE) to analyze the uncertainty in calculating the lateral and longitudinal center of gravity for a vehicle from static load cell measurements. A secondary goal is to use experimental testing as a source of uncertainty and as a method to confirm the results from the PCE simulation. While PCE has often been used as an alternative to Monte Carlo, PCE models have rarely been based on experimental data. The 8-post test rig at the Virginia Institute for Performance Engineering and Research facility at Virginia International Racew

APA, Harvard, Vancouver, ISO, and other styles

5

Song, Chen [Verfasser], and Vincent [Akademischer Betreuer] Heuveline. "Uncertainty Quantification for a Blood Pump Device with Generalized Polynomial Chaos Expansion / Chen Song ; Betreuer: Vincent Heuveline." Heidelberg : Universitätsbibliothek Heidelberg, 2018. http://d-nb.info/1177252406/34.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Langewisch, Dustin R. "Application of the polynomial chaos expansion to multiphase CFD : a study of rising bubbles and slug flow." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/92097.

Full text

Abstract:

Thesis: Ph. D., Massachusetts Institute of Technology, Department of Nuclear Science and Engineering, 2014.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 157-167).<br>Part I of this thesis considers subcooled nucleate boiling on the microscale, focusing on the analysis of heat transfer near the Three-Phase (solid, liquid, and vapor) contact Line (TPL) region. A detailed derivation of one representative TPL model is presented. From this work, it was ultimately concluded that heat transfer in the vicinity of the TPL is rather unimportant in the overall qu

APA, Harvard, Vancouver, ISO, and other styles

7

Yadav, Vaibhav. "Novel Computational Methods for Solving High-Dimensional Random Eigenvalue Problems." Diss., University of Iowa, 2013. https://ir.uiowa.edu/etd/4927.

Full text

Abstract:

The primary objective of this study is to develop new computational methods for solving a general random eigenvalue problem (REP) commonly encountered in modeling and simulation of high-dimensional, complex dynamic systems. Four major research directions, all anchored in polynomial dimensional decomposition (PDD), have been defined to meet the objective. They involve: (1) a rigorous comparison of accuracy, efficiency, and convergence properties of the polynomial chaos expansion (PCE) and PDD methods; (2) development of two novel multi

APA, Harvard, Vancouver, ISO, and other styles

8

Mühlpfordt, Tillmann [Verfasser], and V. [Akademischer Betreuer] Hagenmeyer. "Uncertainty Quantification via Polynomial Chaos Expansion – Methods and Applications for Optimization of Power Systems / Tillmann Mühlpfordt ; Betreuer: V. Hagenmeyer." Karlsruhe : KIT-Bibliothek, 2020. http://d-nb.info/1203211872/34.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Scott, Karen Mary Louise. "Practical Analysis Tools for Structures Subjected to Flow-Induced and Non-Stationary Random Loads." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/38686.

Full text

Abstract:

There is a need to investigate and improve upon existing methods to predict response of sensors due to flow-induced vibrations in a pipe flow. The aim was to develop a tool which would enable an engineer to quickly evaluate the suitability of a particular design for a certain pipe flow application, without sacrificing fidelity. The primary methods, found in guides published by the American Society of Mechanical Engineers (ASME), of simple response prediction of sensors were found to be lacking in several key areas, which prompted development of the tool described herein. A particular limitatio

APA, Harvard, Vancouver, ISO, and other styles

10

Segui, Vasquez Bartolomé. "Modélisation dynamique des systèmes disque aubes multi-étages : Effets des incertitudes." Phd thesis, INSA de Lyon, 2013. http://tel.archives-ouvertes.fr/tel-00961270.

Full text

Abstract:

Les conceptions récentes de turbomachines ont tendance à évoluer vers des liaisons entre étages de plus en plus souples et des niveaux d'amortissement faibles, donnant lieu à des configurations où les modes sont susceptibles de présenter des niveaux de couplages inter-étages forts. En général, les ensembles disques aubes multi-étagés n'ont aucune propriété de symétrie cyclique d'ensemble et l'analyse doit porter sur un modèle de la structure complète donnant lieu à des calculs très coûteux. Pour palier ce problème, une méthode récente appelée symétrie cyclique multi-étages peut être utilisée p

APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "General polynomial chaos expansion"

1

Chu, Liu. "Polynomial Chaos Expansion." In Uncertainty Quantification of Stochastic Defects in Materials. CRC Press, 2021. http://dx.doi.org/10.1201/9781003226628-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Lacor, Chris, and Éric Savin. "General Introduction to Polynomial Chaos and Collocation Methods." In Uncertainty Management for Robust Industrial Design in Aeronautics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77767-2_7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Chikhaoui, K., N. Kacem, N. Bouhaddi, and M. Guedri. "Uncertainty Propagation Combining Robust Condensation and Generalized Polynomial Chaos Expansion." In Model Validation and Uncertainty Quantification, Volume 3. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15224-0_24.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Marchi, Mariapia, Enrico Rigoni, Rosario Russo, and Alberto Clarich. "Percentile via Polynomial Chaos Expansion: Bridging Robust Optimization with Reliability." In EVOLVE – A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation VII. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49325-1_3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Hu, Junjun, S. Lakshmivarahan, and John M. Lewis. "Quantification of Forecast Uncertainty and Data Assimilation Using Wiener’s Polynomial Chaos Expansion." In Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications (Vol. III). Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-43415-5_7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Zhao, Huan, and Zhenghong Gao. "Uncertainty-Based Design Optimization of NLF Airfoil Based on Polynomial Chaos Expansion." In Lecture Notes in Electrical Engineering. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-3305-7_126.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Du, Yuncheng, and Dongping Du. "Cardiac Image Segmentation Using Generalized Polynomial Chaos Expansion and Level Set Function." In Level Set Method in Medical Imaging Segmentation. CRC Press, 2019. http://dx.doi.org/10.1201/b22435-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Cedeño, Naomi, and Saba Infante. "Estimation of Ordinary Differential Equations Solutions with Gaussian Processes and Polynomial Chaos Expansion." In Information and Communication Technologies. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-89941-7_1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Liatsikouras, Athanasios G., Varvara G. Asouti, Kyriakos Giannakoglou, and Guillaume Pierrot. "Aerodynamic Shape Optimization by Considering Geometrical Imperfections Using Polynomial Chaos Expansion and Evolutionary Algorithms." In Computational Methods in Applied Sciences. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-89890-2_28.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Dutta, Subhrajit, and Chandrasekhar Putcha. "Reliability-Based Design Optimization of a Large-Scale Truss Structure Using Polynomial Chaos Expansion Metamodel." In Reliability, Safety and Hazard Assessment for Risk-Based Technologies. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9008-1_39.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "General polynomial chaos expansion"

1

Liu, Jingyu, Xiaoting Wang, and Xiaozhe Wang. "A Sparse Polynomial Chaos Expansion-Based Method for Probabilistic Transient Stability Assessment and Enhancement." In 2022 IEEE Power & Energy Society General Meeting (PESGM). IEEE, 2022. http://dx.doi.org/10.1109/pesgm48719.2022.9916882.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Wang, F., F. Xiong, S. Yang, and Y. Xiong. "A Sparse Data-Driven Polynomial Chaos Expansion Method for Uncertainty Propagation." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59795.

Full text

Abstract:

The data-driven polynomial chaos expansion (DD-PCE) method is claimed to be a more general approach of uncertainty propagation (UP). However, as a common problem of all the full PCE approaches, the size of polynomial terms in the full DD-PCE model is significantly increased with the dimension of random inputs and the order of PCE model, which would greatly increase the computational cost especially for high-dimensional and highly non-linear problems. Therefore, a sparse DD-PCE is developed by employing the least angle regression technique and a stepwise regression strategy to adaptively remove

APA, Harvard, Vancouver, ISO, and other styles

3

Shen, Danfeng, Hao Wu, Lu Liu, and Deqiang Gan. "Solving Probabilistic Power Flow with Wind Generation by Polynomial Chaos Expansion Method from the Perspective of Parametric Problems." In 2020 IEEE Power & Energy Society General Meeting (PESGM). IEEE, 2020. http://dx.doi.org/10.1109/pesgm41954.2020.9281771.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Fan, Miao, Xiaoyu Wang, Lengcheng Huang, and Feng Dong. "Data-Driven Probabilistic Dynamic Analysis for Power Systems with Correlated Renewable Energy Sources based on Polynomial Chaos Expansion." In 2022 IEEE Power & Energy Society General Meeting (PESGM). IEEE, 2022. http://dx.doi.org/10.1109/pesgm48719.2022.9916667.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Wang, Xiaoting, Xiaozhe Wang, Hao Sheng, and Xi Lin. "A Data-Driven Sparse Polynomial Chaos Expansion Method to Assess Probabilistic Total Transfer Capability for Power Systems with Renewables." In 2022 IEEE Power & Energy Society General Meeting (PESGM). IEEE, 2022. http://dx.doi.org/10.1109/pesgm48719.2022.9916717.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Panizza, Andrea, Dante Tommaso Rubino, and Libero Tapinassi. "Efficient Uncertainty Quantification of Centrifugal Compressor Performance Using Polynomial Chaos." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-25081.

Full text

Abstract:

This paper presents a fully automated procedure to estimate the uncertainty of compressor stage performance, due to impeller manufacturing variability. The methodology was originally developed for 2D stages, i.e., stages for which the impeller blade angle and thickness distribution are only defined at the hub end-wall. Here, we extend the procedure to general 3D stages, for which blade angle and thickness distributions can be prescribed independently at the shroud and hub endwalls. Starting from the probability distribution of the impeller geometrical parameters, 3D sample geometries are gener

APA, Harvard, Vancouver, ISO, and other styles

7

Babaee, Hessam, Xiaoliang Wan, and Sumanta Acharya. "Effect of Uncertainty in Blowing Ratio on Film Cooling Effectiveness." In ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/ht2013-17159.

Full text

Abstract:

In this study the effect of randomness of blowing ratio on film cooling performance is investigated by combining direct numerical simulations with a stochastic collocation approach. The geometry includes a 35-degree inclined jet with a plenum attached to it. The blowing ratio variations are assumed to have a truncated Gaussian distribution with mean of 0.3 and the standard variation of approximately 0.1. The parametric space is discretized using Multi-Element general Polynomial Chaos (ME-gPC) with five elements where general polynomial chaos of order 3 is used in each element. A fast convergen

APA, Harvard, Vancouver, ISO, and other styles

8

Pepper, Nick, Francesco Montomoli, Francesco Giacomel, et al. "Uncertainty Quantification and Missing Data for Turbomachinery With Probabilistic Equivalence and Arbitrary Polynomial Chaos, Applied to Scroll Compressors." In ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/gt2020-16139.

Full text

Abstract:

Abstract This work presents a framework for predicting unknown input distributions for turbomachinery applications starting from scarce experimental measurements. The problem is relevant to turbomachinery where important parameters are obtained using indirect measurements. In this paper a scroll compressor is used as example but the suggested framework is completely general and can be used to infer missing data on material composition (carbon fiber properties, laser melted specimens for additive manufacturing etc) or input data (such as the turbine inlet temperature). Scroll compressors are sm

APA, Harvard, Vancouver, ISO, and other styles

9

Geroulas, Vasileios, Zissimos P. Mourelatos, Vasiliki Tsianika, and Igor Baseski. "Reliability of Nonlinear Vibratory Systems Under Non-Gaussian Loads." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67313.

Full text

Abstract:

A general methodology is presented for time-dependent reliability and random vibrations of nonlinear vibratory systems with random parameters excited by non-Gaussian loads. The approach is based on Polynomial Chaos Expansion (PCE), Karhunen-Loeve (KL) expansion and Quasi Monte Carlo (QMC). The latter is used to estimate multi-dimensional integrals efficiently. The input random processes are first characterized using their first four moments (mean, standard deviation, skewness and kurtosis coefficients) and a correlation structure in order to generate sample realizations (trajectories). Charact

APA, Harvard, Vancouver, ISO, and other styles

10

Greene, M. Steven, Yu Liu, Wei Chen, Wing Kam Liu, and Hong-Zhong Huang. "Enabling Integrated Material and Product Design Under Uncertainty Through Stochastic Constitutive Relations." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28917.

Full text

Abstract:

This paper presents a computational framework that mathematically propagates material microstructure uncertainties to coarser system resolutions for use in multiscale design frameworks. The computational framework uses a homogenized stochastic constitutive relation that links microstructure uncertainty with stochastic material properties. The stochastic constitutive relation formulated in this work serves as the critical link between the material and product domains in integrated material and product design. Ubiquitous fine resolution uncertainty sources influencing prediction of material prop

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!