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A numerical solution of axisymmetric problems in elastodynamics
Author(s) -
Recker W. W.
Publication year - 1971
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620030306
Subject(s) - rotational symmetry , boundary value problem , mathematics , partial differential equation , hyperbolic partial differential equation , mathematical analysis , deformation (meteorology) , numerical analysis , physics , geometry , meteorology
The equations governing the axisymmetric dynamic deformation of an elastic solid are considered as a symmetric hyperbolic system of linear first‐order partial differential equations. The characteristic properties of the system are determined and a numerical method for obtaining the solution of mixed initial and boundary value problems in elastodynamics is presented. Two examples are considered.