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Title: Working Forum on the Manifold Method of Material Analysis, Volume 2
Authors: Working Forum on the Manifold Method of Material Analysis (1995 : Jenner, California)
Shi, Gen-hua, 1939-
Keywords: Case studies
Large deformations
Numerical manifold
Simplex integration
Jointed rock
Mathematical models
Numerical models
Rock mechanics
Publisher: Geotechnical Laboratory (U.S.)
Engineer Research and Development Center (U.S.)
Series/Report no.: Miscellaneous paper (U.S. Army Engineer Waterways Experiment Station) ; GL-97-17 v.2.
Description: Miscellaneous Paper
Abstract: Aiming at global analysis, the well known mathematical manifold is perhaps the most important subject of modem mathematics. Based upon mathematical manifold, this numerical manifold method is a newly developed general numerical method. This method computes the movements and deformations of structures or materials. The meshes of the numerical manifold method are finite covers. As the material domains, the finite covers overlapped each other and covered the entire material volume. On each cover, the manifold method defines an independent cover displacement function. The cover displacement functions on individual covers are connected to form a global displacement function on the entire material volume. The global displacement function are the weighted averages of local independent cover functions on the common part of several covers. Using the entire finite cover systems, continuous, jointed, or blocky materials can be computed in a mathematically consistent manner. For a manifold computation, the mathematical mesh and physical mesh are independent. Therefore, the mathematical mesh is free to define and free to change. As with the mathematical mesh, the covers can be moved, split, removed, and added. By moving the covers, the large deformations and moving boundaries can be computed by steps. By dividing a cover to two or more independent covers with their displacement functions, jointed and blocky materials can be modeled. Both the finite element method (FEM) for continua and the discontinuous deformation analysis (DDA) for block systems are special cases of this numerical manifold method. In the current development stage of numerical manifold method, by using finite cover approach, the extended FEM can compute more flexible and visible deformations and movements of joints and blocks. NOTE: This file is large. Allow your browser several minutes to download the file.
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:Miscellaneous Paper

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