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Circular Crack Problem for Initialy Stressed Neo‐Hookean Solid
Author(s) -
Kurashige M.
Publication year - 1969
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.19690491106
Subject(s) - rotational symmetry , displacement (psychology) , stress (linguistics) , deformation (meteorology) , function (biology) , finite element method , mathematical analysis , materials science , geometry , mechanics , mathematics , structural engineering , physics , composite material , engineering , psychology , psychotherapist , linguistics , philosophy , evolutionary biology , biology
For an axisymmetric problem under incremental deformation theory for neo‐Hookean solid, a basic equation to be satisfied by a displacement function is obtained and the components of incremental displacement, strain and stress are expressed by the displacement function. Using the basic equation and expressions, the distribution of incremental stress in the neighbourhood of a circular crack with internal pressure in an infinite body under an initial finite deformation owing to all‐around compression is investigated, and the influence of initial stress upon the distribution of incremental stress is presented in the form of curves.