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Point force and generalized point sources on the surface of semi-infinite transversely isotropic material.

Journal Article · · Journal of Applied Physics
DOI:https://doi.org/10.1063/1.3624799· OSTI ID:1033176
the full set of coupled fields due to the arbitrarily oriented point force and concentrated generalized point source, that represents either the diffusive chemical substance concentration or heat applied at the boundary of the half-space) are derived in elementary functions in a simple way, using methods of the potential theory. In the course of the analysis we derived the general solution of the field equations, represented in terms of four harmonic potential functions, which may also be relevant to other problems of chemical concentration or heat diffusion. These solutions constitute generalization of Boussinesq s and Cerruti s problems of elasticity for the chemically diffusive and/or thermoelastic materials.
Research Organization:
Oak Ridge National Laboratory (ORNL)
Sponsoring Organization:
SC USDOE - Office of Science (SC)
DOE Contract Number:
AC05-00OR22725
OSTI ID:
1033176
Journal Information:
Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 5 Vol. 110; ISSN JAPIAU; ISSN 0021-8979
Country of Publication:
United States
Language:
English