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Second‐Order Change of Volume in Isotropic Materials Free from Applied Loads
Author(s) -
Wang Áskýc.
Publication year - 1966
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.19660460209
Subject(s) - isotropy , hyperelastic material , elasticity (physics) , zener diode , volume (thermodynamics) , order (exchange) , mechanics , materials science , mathematics , mathematical analysis , physics , thermodynamics , optics , economics , finite element method , finance , quantum mechanics , voltage , resistor
The apparent elasticities of an isotropic elastic material in undistorted states are obtained from the second‐order elasticity theory. The results are applied to find the second‐order change of volume for an isotropic body free from external loads. In particular, the requirement that the material is hyperelastic is shown to be equivalent to Zener's formula.