Premium
Axisymmetrical Elastic Problem for a Nonhomogeneous Thick Plate Containing a Penny‐Shaped Crack
Author(s) -
Jeon S.P.,
Tanigawa Y.
Publication year - 2000
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/(sici)1521-4001(200003)80:3<193::aid-zamm193>3.0.co;2-l
Subject(s) - elasticity (physics) , stress field , singular integral , elastic modulus , stress intensity factor , shear modulus , materials science , shear (geology) , fissure , mathematical analysis , young's modulus , bending of plates , mechanics , structural engineering , mathematics , fracture mechanics , integral equation , bending , composite material , physics , engineering , finite element method
This paper deals with a theoretical analysis of an axisymmetrical elastic singular stress problem for a nonhomogeneous thick plate with a penny‐shaped crack. It is assumed that the nonhomogeneous material property of the shear modulus of elasticity G varies with the variable of the axial coordinate z according to the power product form, i.e., G ( z ) = G 0 z α . As an analytical model, we consider a nonhomogeneous thick plate with a penny‐shaped crack subject to a uniformly distributed loading such as internal pressure on the crack surfaces. Then, the axisymmetrical elastic problem for such a nonhomogeneous material with a singular stress field can be theoretically developed making use of a fundamental equation system, which has already been proposed in our previous paper. And numerical calculations are carried out for several cases to evaluate the influences of the nonhomogeneous parameter m of the shear modulus of elasticity G and the position of a crack in a thick plate on the elastic behavior. Numerical results for the elastic and the singular stress fields are shown graphically.