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Dynamic Expansion of a Spherical Cavity in an Unbounded Hyperelastic Medium
Author(s) -
Mioduchowski A.,
Haddow J. B.
Publication year - 1976
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19760560204
Subject(s) - hyperelastic material , finite strain theory , compressibility , deformation (meteorology) , mathematical analysis , function (biology) , classical mechanics , strain energy , mechanics , physics , mathematics , finite element method , thermodynamics , evolutionary biology , biology , meteorology
An approximate method, based on a discrete model, is given for the solution of certain spherically symmetric dynamic finite deformation problems of an unbounded compressible hyperelastic medium. The method is outlined for expansion of a spherical cavity and results are presented for a particular strain energy function.