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Record 21 of 23529
A probabilistic Hu-Washizu variational principle
Author and Affiliation:
Liu, W. K.(Northwestern Univ., Evanston, IL, United States)
Belytschko, T.(Northwestern University, Evanston, IL, United States)
Besterfield, G. H.(Northwestern Univ., Evanston, IL, United States)
Abstract: A Probabilistic Hu-Washizu Variational Principle (PHWVP) for the Probabilistic Finite Element Method (PFEM) is presented. This formulation is developed for both linear and nonlinear elasticity. The PHWVP allows incorporation of the probabilistic distributions for the constitutive law, compatibility condition, equilibrium, domain and boundary conditions into the PFEM. Thus, a complete probabilistic analysis can be performed where all aspects of the problem are treated as random variables and/or fields. The Hu-Washizu variational formulation is available in many conventional finite element codes thereby enabling the straightforward inclusion of the probabilistic features into present codes.
Publication Date: Jan 01, 1987
Document ID:
19870046305
(Acquired Nov 28, 1995)
Accession Number: 87A33579
Subject Category: STRUCTURAL MECHANICS
Report/Patent Number: AIAA PAPER 87-0764
Document Type: Conference Paper
Publication Information: SEE A87-33551
Publisher Information: United States
Contract/Grant/Task Num: NAG3-535
Financial Sponsor: NASA; United States
Organization Source: Northwestern Univ.; Evanston, IL, United States
Description: 8p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: FINITE ELEMENT METHOD; PROBABILITY THEORY; STOCHASTIC PROCESSES; STRUCTURAL ENGINEERING; VARIATIONAL PRINCIPLES; ELASTIC PROPERTIES; PROBABILITY DISTRIBUTION FUNCTIONS
Imprint And Other Notes: IN: Structures, Structural Dynamics and Materials Conference, 28th, Monterey, CA, Apr. 6-8, 1987, Technical Papers. Part 1 (A87-33551 14-39). New York, American Institute of Aeronautics and Astronautics, 1987, p. 252-259.
Availability Source: Other Sources
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