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Title
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Application of Finite Element Method for Continuum Mechanics Problems
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Description
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General nonlinear equations for a continuum are formulated such that they are convenient for discretization by the finite element method. The resulting set of nonlinear algebraic or ordinary differential equations are linearized and solved by the parametric differentiation method. The scope of application of the procedure is very wide. Numerical examples are presented to indicate the scope. The results, in general, show excellent agreement with known solutions for one step or short range processes. For long range solutions, the incremental step becomes a critical factor.
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Creator
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Chattopadhyay, Arup
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Setlur, A. V.
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Abstract
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General nonlinear equations for a continuum are formulated such that they are convenient for discretization by the finite element method. The resulting set of nonlinear algebraic or ordinary differential equations are linearized and solved by the parametric differentiation method. The scope of application of the procedure is very wide. Numerical examples are presented to indicate the scope. The results, in general, show excellent agreement with known solutions for one step or short range processes. For long range solutions, the incremental step becomes a critical factor.
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Corporate Author
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Department of Civil Engineering, Laval University, Quebec, Canada
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Department of Civil Engineering, Indian Institute of Technology, Kanpur, India
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Report Number
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AFFDL TR 71-160 p. 707-728
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Report Availability
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Full text available
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Publisher
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Wright-Patterson Air Force Base, OH : Air Force Flight Dynamics Laboratory, Air Force Systems Command and Air Force Institute of Technology, Air University
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Date
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1973
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Type
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article
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Date Issued
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1973-12
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Provenance
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Bombardier/Aero
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Distribution Classification
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1
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Distribution Conflict
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No
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DTIC Record Exists
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No
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Format
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1 online resource (21 pages) : ill.
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Extent
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21
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Identifier
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AD0785968
