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Large Elastic Deformations of an Infinite Plate Having a Square or Triangular Hole with Rounded Corners under Biaxial Tension
Author(s) -
Tamate O.,
Miyata H.
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.19690490106
Subject(s) - elasticity (physics) , square (algebra) , plane stress , mathematics , geometry , mathematical analysis , materials science , physics , finite element method , composite material , thermodynamics
This paper deals with the stresses and diplacements of elastic media, based upon the theory of finite elasticity, perforated by a square or triangular hole with rounded corners subjected to biaxial tension at infinity. The material is assumed to be in the state of plane strain. The method of successive approximation is used in connection with the complex variable method of plane elasticity. Numerical results due to the second‐order elasticity are given for hoop stresses and displacements along the edge of hole, and compared with those predicted by classical theory of elasticity.