Field-consistency - Toward a science of constrained multi-strain-field finite element formulations

Prathap, Gangan (1986) Field-consistency - Toward a science of constrained multi-strain-field finite element formulations. Sadhana - Academy Proceedings in Engineering Sciences, 9 (4). pp. 319-343.

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Abstract

The finite element method has progressed rapidly from simple engineering principles through rigorous mathematical formalizations to become a body of engineering knowledge incorporating well-defined conceptual schemes and operational procedures. The current practice however leads to a series of difficulties, which are actually interrelated. In this paper, we describe an additional conceptual scheme called 'field-consistency', and demonstrate new methodology and terminology that helps to clear up this area of the finite element method that had remained difficult to understand for some time. The new procedure also enhances the predictive capabilities of error analyses of the method, giving it some of the self-criticality needed for a 'falsifiable' scientific basis. This paper is also in a limited sense, an essay on how the processes of the method of science are seen to work in this area of engineering know-how.

Item Type: Article
Additional Information: Copyright of this article belongs to Indian Academy of Sciences
Uncontrolled Keywords: Mathematical techniques;Finite element method;Constrained strain-field problems;Field-consistency;Finite element formulations;Parasitic shear;Shear locking;Structural analysis
Subjects: ENGINEERING > Structural Mechanics
Depositing User: Users 11 not found.
Date Deposited: 20 Feb 2006
Last Modified: 24 May 2010 04:08
URI: http://nal-ir.nal.res.in/id/eprint/441

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