TY - JOUR
T1 - A Clifford algebra formulation of Navier-Cauchy equation
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).
Publisher Copyright:
© 2014 Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license.
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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U2 - 10.1016/j.proeng.2014.06.329
DO - 10.1016/j.proeng.2014.06.329
M3 - Conference article
AN - SCOPUS:84949125047
VL - 79
SP - 184
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 -