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Probabilistic finite element methods...

Thacker, Ben Howard.

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Probabilistic finite element methods for transient analysis of nonlinear continua.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Probabilistic finite element methods for transient analysis of nonlinear continua./
作者:	Thacker, Ben Howard.
面頁冊數:	189 p.
附註:	Source: Dissertation Abstracts International, Volume: 58-01, Section: B, page: 0324.
Contained By:	Dissertation Abstracts International58-01B.
標題:	Applied Mechanics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9719507
ISBN:	0591280574

Probabilistic finite element methods for transient analysis of nonlinear continua.
Thacker, Ben Howard.

Probabilistic finite element methods for transient analysis of nonlinear continua. - 189 p.

Source: Dissertation Abstracts International, Volume: 58-01, Section: B, page: 0324.

Thesis (Ph.D.)--The University of Texas at Austin, 1996.

Strategies for performing probabilistic finite element analysis of dynamically-loaded structures in nonlinear continua are presented. The application is the response of tunnels in rock subjected to stress-wave loading, which is well-suited for efficient probabilistic methods because the problems require computationally-intensive numerical calculations and also possess significant uncertainties in material properties and loading. The probabilistic methods employed, however, are general and can be applied to any problem in structural or solid mechanics. An analytical model is developed for a circular tunnel in a Mohr-Coulomb material subjected to static axisymmetric pressure. Several numerical tunnel models are also developed that employ an explicit dynamic finite element solution. Significant attention is paid to the development and validation of the deterministic finite element constitutive model. Strategies are developed, implemented, and verified for treating non-normal correlated random variables and for computing probabilistic sensitivity measures from sampling information. Efficient and accurate probabilistic methods are applied to the tunnel models and their use is demonstrated with several examples.

ISBN: 0591280574Subjects--Topical Terms:

1018410
Applied Mechanics.

Probabilistic finite element methods for transient analysis of nonlinear continua.
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502 $a Thesis (Ph.D.)--The University of Texas at Austin, 1996.
520 $a Strategies for performing probabilistic finite element analysis of dynamically-loaded structures in nonlinear continua are presented. The application is the response of tunnels in rock subjected to stress-wave loading, which is well-suited for efficient probabilistic methods because the problems require computationally-intensive numerical calculations and also possess significant uncertainties in material properties and loading. The probabilistic methods employed, however, are general and can be applied to any problem in structural or solid mechanics. An analytical model is developed for a circular tunnel in a Mohr-Coulomb material subjected to static axisymmetric pressure. Several numerical tunnel models are also developed that employ an explicit dynamic finite element solution. Significant attention is paid to the development and validation of the deterministic finite element constitutive model. Strategies are developed, implemented, and verified for treating non-normal correlated random variables and for computing probabilistic sensitivity measures from sampling information. Efficient and accurate probabilistic methods are applied to the tunnel models and their use is demonstrated with several examples.
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650 4 $a Engineering, Civil. $3 783781
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