The explicit stiffness matrix of the 15-noded cubic strain triangle

Amaechi J. Anyaegbunam; Udechukwu G. Ojiako

doi:10.1680/eacm.9.00016

The explicit stiffness matrix of the 15-noded cubic strain triangle

Amaechi J. Anyaegbunam, Udechukwu G. Ojiako

Design, Manufacturing And Engineering Management

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

This paper presents the explicit stiffness matrix of the 15-noded cubic strain triangle, for a cross-anisotropic medium, which was evolved through the use of area coordinates. This stiffness matrix would be very useful in finite-element analysis of geomechanics problems such as collapse, vibration and consolidation because it will drastically reduce computer run-time through a faster assembly of the global stiffness matrix.

Original language	English
Pages (from-to)	25-40
Number of pages	16
Journal	Proceedings of the Institution of Civil Engineers: Engineering and Computational Mechanics
Volume	164
Issue number	1
DOIs	https://doi.org/10.1680/eacm.9.00016
Publication status	Published - 31 Mar 2011

Keywords

computational mechanics
solid mechanics
stress analysis

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10.1680/eacm.9.00016

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title = "The explicit stiffness matrix of the 15-noded cubic strain triangle",

abstract = "This paper presents the explicit stiffness matrix of the 15-noded cubic strain triangle, for a cross-anisotropic medium, which was evolved through the use of area coordinates. This stiffness matrix would be very useful in finite-element analysis of geomechanics problems such as collapse, vibration and consolidation because it will drastically reduce computer run-time through a faster assembly of the global stiffness matrix.",

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N2 - This paper presents the explicit stiffness matrix of the 15-noded cubic strain triangle, for a cross-anisotropic medium, which was evolved through the use of area coordinates. This stiffness matrix would be very useful in finite-element analysis of geomechanics problems such as collapse, vibration and consolidation because it will drastically reduce computer run-time through a faster assembly of the global stiffness matrix.

AB - This paper presents the explicit stiffness matrix of the 15-noded cubic strain triangle, for a cross-anisotropic medium, which was evolved through the use of area coordinates. This stiffness matrix would be very useful in finite-element analysis of geomechanics problems such as collapse, vibration and consolidation because it will drastically reduce computer run-time through a faster assembly of the global stiffness matrix.

KW - computational mechanics

KW - solid mechanics

KW - stress analysis

U2 - 10.1680/eacm.9.00016

DO - 10.1680/eacm.9.00016

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JO - Proceedings of the Institution of Civil Engineers: Engineering and Computational Mechanics

JF - Proceedings of the Institution of Civil Engineers: Engineering and Computational Mechanics

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The explicit stiffness matrix of the 15-noded cubic strain triangle

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Keywords

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