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On the completeness of a method of potentials in elastodynamics
Author(s):
Ronald
Y. S.
Pak;
Morteza
Eskandari-Ghadi
Journal:
Quart. Appl. Math.
65
(2007),
789-797.
MSC (2000):
Primary 74B05, 35Q72;
Secondary 35L05
Posted:
October 17, 2007
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Abstract:
In this paper, the theoretical foundation of a compact scalar potential method in three-dimensional classical elastodynamics is substantiated. Beginning with a derivation of two basic lemmas on the decomposition and integration of wave solutions and vector fields which are apt to be of interest to general mechanics and analysis, the treatment proceeds to a proof of the completeness of the proposed representation as well as its extension to non-zero body forces.
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Additional Information:
Ronald
Y. S.
Pak
Affiliation:
Department of Civil, Environmental and Architectural Engineering, University of Colorado, Boulder, Colorado 80309-0428
Email:
pak@colorado.edu
Morteza
Eskandari-Ghadi
Affiliation:
Civil Engineering Department, University of Science and Technology of Mazandaran, Iran
Email:
ghadi@ustmb.ac.ir
PII:
S0033-569X-07-01074-X
Keywords:
Elasticity,
completeness,
potentials,
mechanics,
wave equation,
vector calculus,
elastodynamics,
Helmholtz,
solenoidal field,
Laplacian
Received by editor(s):
May 24, 2007.
Posted:
October 17, 2007
Dedicated:
A tribute to Eli Sternberg
Copyright of article:
Copyright
2007,
Brown University
The copyright for this article reverts to public domain after 28 years from publication.
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