異材接合端における応力特異性の消失条件に対する新提案 : 応力強さからのアプローチ

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When a joint between materials with different properties is subjected to cooling and heating, thermal stresses develop near the apex of the joint due to thermal expansions mismatch. The thermal stresses are represented by Kγ^<p-1>, where p-1 is the order of the stress singularity and K indicates the intensity of the stress field. The order p-1, which is calculated from an eigenequation, depends on the wedge angles of the materials and their mechanical properties (Young's modulus and Poisson's radio). The investigation under conditions where the stress singularity disappears has so far been performed by examining whether or not a root for the eigenequation exists in the range of 0<p<1. The stress singularity disappears in the case of combinations of materials yielding K=0, even if the root p exists in the range of 0<Re(p)<1. In this paper, the relationship between K and various combinations of materials is studied in detail. For the conditions yielding K=0, the relation between the wedge angle φ_1 of material 1 and the sitffness ratio k_<12>, and the one between φ_1 and the total angle φ_1+φ_2 of the bonded wedge are examined, and a method for determining conditions yielding approximately K=0 is presented. Also,the distribution of the stress intensity is classified into two modes, which exchange under conditions satisfying K=0, p→1 (p=1 is a double root of the eigenequation) and p=ξ±iη (p is a complex root) depending on K=0. Moreover, when the materials and the wedge angles of both side regions in a three-phase bonded structure are identical, respectively, the distribution of the stress intensity against angle coordinate θ is either zero or an even function for components (γγ, θθ) and an odd function for component (γθ).
一般社団法人日本機械学会の論文
1996-01-25

異材接合端における応力特異性の消失条件に対する新提案 : 応力強さからのアプローチ

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