Application of Finite Element Method for Continuum Mechanics Problems

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Report Number: AFFDL TR 71-160 p. 707-728
Author(s): Chattopadhyay, Arup, Setlur, A. V.
Corporate Author(s): Department of Civil Engineering, Laval University, Quebec, Canada, Department of Civil Engineering, Indian Institute of Technology, Kanpur, India
Date of Publication: 1973-12
Pages: 21
DoD Task:
Identifier: This paper is part of a conference proceedings. See AD0785968

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.

Provenance: Bombardier/Aero

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