A Clifford algebra formulation of Navier-Cauchy equation

Li Wei Liu; Hong Ki Hong

doi:10.1016/j.proeng.2014.06.329

A Clifford algebra formulation of Navier-Cauchy equation

Li Wei Liu, Hong Ki Hong

Department of Engineering Science

Research output: Contribution to journal › Conference article › peer-review

3 Citations (Scopus)

Abstract

The three-dimensional (3D) displacement field in elastic body subjected to body force usually governed by the Navier-Cauchy equation is here formulated in the language of Clifford valued functions and the Dirac operator. Using Clifford analysis and considering arbitrary body force, we solve the problem, expressing the displacement field in terms of one harmonic function and one monogenic function.

Original language	English
Pages (from-to)	184-188
Number of pages	5
Journal	Procedia Engineering
Volume	79
DOIs	https://doi.org/10.1016/j.proeng.2014.06.329
Publication status	Published - 2014
Event	37th National Conference on Theoretical and Applied Mechanics, NCTAM 2013, Conjoined with the 1st International Conference on Mechanics, ICM 2013 - Hsinchu, Taiwan Duration: 2013 Nov 8 → 2013 Nov 9

All Science Journal Classification (ASJC) codes

Engineering(all)

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title = "A Clifford algebra formulation of Navier-Cauchy equation",

abstract = "The three-dimensional (3D) displacement field in elastic body subjected to body force usually governed by the Navier-Cauchy equation is here formulated in the language of Clifford valued functions and the Dirac operator. Using Clifford analysis and considering arbitrary body force, we solve the problem, expressing the displacement field in terms of one harmonic function and one monogenic function.",

author = "Liu, {Li Wei} and Hong, {Hong Ki}",

note = "Funding Information: This research was supported by National Science Council of Taiwan (NSC 100-2221-E-002-163-MY2 and NSC 101-2811-E-002-053).; 37th National Conference on Theoretical and Applied Mechanics, NCTAM 2013, Conjoined with the 1st International Conference on Mechanics, ICM 2013 ; Conference date: 08-11-2013 Through 09-11-2013",

year = "2014",

doi = "10.1016/j.proeng.2014.06.329",

language = "English",

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journal = "Procedia Engineering",

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AU - Liu, Li Wei

AU - Hong, Hong Ki

N1 - Funding Information: This research was supported by National Science Council of Taiwan (NSC 100-2221-E-002-163-MY2 and NSC 101-2811-E-002-053).

PY - 2014

Y1 - 2014

N2 - The three-dimensional (3D) displacement field in elastic body subjected to body force usually governed by the Navier-Cauchy equation is here formulated in the language of Clifford valued functions and the Dirac operator. Using Clifford analysis and considering arbitrary body force, we solve the problem, expressing the displacement field in terms of one harmonic function and one monogenic function.

AB - The three-dimensional (3D) displacement field in elastic body subjected to body force usually governed by the Navier-Cauchy equation is here formulated in the language of Clifford valued functions and the Dirac operator. Using Clifford analysis and considering arbitrary body force, we solve the problem, expressing the displacement field in terms of one harmonic function and one monogenic function.

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DO - 10.1016/j.proeng.2014.06.329

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EP - 188

JO - Procedia Engineering

JF - Procedia Engineering

SN - 1877-7058

T2 - 37th National Conference on Theoretical and Applied Mechanics, NCTAM 2013, Conjoined with the 1st International Conference on Mechanics, ICM 2013

Y2 - 8 November 2013 through 9 November 2013

ER -