Characteristics of Distribution of Thermal Stresses Near Apex in Dissimilar Materials : Change of Distribution of Thermal Stresses on Vaviation of Singularity of Type log r↔r^p-1

Abstract

In the previous papers, characteristics of stress fields near the apex in dissimilar materials formed from several isotropic homogeneous wedges with arbitrary angles subjected to surface traction or thermal load were theoretically clarified. The stress fields near the apex are defined by a linear combination of the singular solutions K_γ^p-1 of typeγ^p-1 on root p of an eigenequation in 0 < Re(p) < 1 or K_g logγ of type logγ on a double root p=1, no singularity ones K_γ^p-1 on root p in Re(p) > 1 and the particular solution K_pa on root p=1. The singularity of type logγ appears at the boundary where characteristics of stress fields vary from no singularity solutions to singular solutions of typeγ^p-1 or its reverse (Re(p) > 1 &harr; 0 < Re(p) < 1). For variations Re(p) > 1 &harr; 0<Re(p) < 1 of root p, the distributions of stress intensity K_j on p =p_j and K_pa on P=1 are changed at the boundary. Moreover, it is shown that characteristics of stress fields cannot be determined by only the roots of the eigenequation.