A Clifford Algebra Formulation of Navier-cauchy Equation

• DOI: 10.1016/j.proeng.2014.06.329
• Publication Date: 2014-11-15T05:36:33Z
• Authors: Li-Wei Liu; Hong-Ki Hong
• Keywords: Clifford Analysis; Operator (biology)

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