TY - JOUR
TI - Stress distribution caused by co-phase locally spatially curved layers in an infinite elastic body under bi-axial compression
AU - Tekercioglu Ramazan
JN - Thermal Science
PY - 2019
VL - 23
IS - 16
SP - 1875
EP - 1881
PT - Article
AB - In the present paper, the stress distribution is studied in an infinite  elastic body, reinforced by an arbitrary number of non-intersecting co-phase  locally spatially curved filler layers under bi-axial compression is  studied. It is assumed that this system is loaded at infinity with uniformly  distributed normal forces with intensity p1 ( p3 ) acting in the direction  which is parallel to the layers’ location planes. It is required to  determine the selfequilibrated stresses within, caused by the spatially  local curving of the layers. The corresponding boundary and contact value  problem is formulated within the scope of geometrically non-linear exact  threedimensional equations of the theory of elasticity by utilizing of the  piece-wise homogeneous body model. The solution to the formulated problem is  represented with the series form of the small parameter which characterizes  the degree of the aforementioned local curving. The boundary-value problems  for the zeroth and the first approximations of these series are determined  with the use of the exponential double Fourier transform. The original of  the sought values is determined numerically. Consequently, in the present  investigation, the effect of the local curving on the considered interface  stress distribution is taken into account within the framework of the  geometrical non-linear statement. The numerical results related to the  considered interface stress distribution and to the influence of the problem  parameters on this distribution are given and discussed.