Author:
Guerrero José Luis Morales,Vidal Manuel Cánovas,Nicolás José Andrés Moreno,López Francisco Alhama
Abstract
Abstract
New additional conditions required for the uniqueness of the 2D elastostatic problems formulated in terms of potential functions for the derived Papkovich-Neuber representations, are studied. Two cases are considered, each of them formulated by the scalar potential function plus one of the rectangular non-zero components of the vector potential function. For these formulations, in addition to the original (physical) boundary conditions, two new additional conditions are required. In addition, for the complete Papkovich-Neuber formulation, expressed by the scalar potential plus two components of the vector potential, the additional conditions established previously for the three-dimensional case in z-convex domain can be applied. To show the usefulness of these new conditions in a numerical scheme two applications are numerically solved by the network method for the three cases of potential formulations.
Subject
General Physics and Astronomy
Reference40 articles.
1. Numerical solutions of 2-D linear elastostatic problems by network method;CMES-Comput. Model. Eng. Sci.,2011
2. Solution Générale des équations différentielles fondamentales ďélasticité exprimée par trois fonctions harmoniques;Compt. Rend. Acad. Sci.,1932
3. Completeness of the Papkovich Potentials;Quart. Appl. Math.,1969
4. Time-dependent heat transfer in a fin-wall assembly. New performance coefficient: thermal reverse admittance;Int. J. Therm. Sci.,2002
5. Time-dependent heat transfer in a fin-wall assembly. New performance coefficient: thermal reverse admittance;Int. J. Therm. Sci.,2002
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