Three-dimensional singularity index at interface corner in prismatic butt joint under arbitrary material combination

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:229

Article

Miyazaki, Tatsujiro¹  Fujiwara, Takahiro²  Noda, Nao-Aki³  Sano, Yoshikazu³ 

[1] Univ Ryukyus, Fac Engn, Sch Engn, Energy & Environm Program, 1 Senbaru, Nishihara, Okinawa 9030213, Japan

[2] Univ Ryukyus, Grad Sch Engn & Sci, Dept Mech Syst Engn, Nishihara, Okinawa 9030213, Japan

[3] Kyushu Inst Technol, Grad Sch Engn, Dept Mech Engn, Tobata Ku, 1-1 Sensui Cho, Kitakyushu, Fukuoka 8048550, Japan

关键词: Butt joint;    Interface;    Singular stress field;    Singularity index;    Eigenanalysis;   

DOI  :  10.1016/j.ijsolstr.2021.111120

来源: Elsevier

【 摘 要 】

In this paper, the three-dimensional (3D) singularity index at the interface corner lambda(corner) is newly analyzed for the prismatic butt joint in comparison with the two-dimensional (2D) singularity index along the interface edge lambda(2D) previously studied. The finite element eigenanalysis reveals that the ratio of the singularity index is in the range of 0.85 <= lambda(corner)/lambda(2D) <= 1.15 for the all range of material combination. Under 2D bad pair condition expressed by Dundurs' parameters (alpha, beta) as alpha(alpha - 2 beta) > 0, the ratio is in the range 0.85 <= lambda(corner)/lambda(2D) < 1. The 3D bad pair condition when the singular stress appears at the corner is clarified on the (alpha, beta) map in comparison with 2D well-known expression alpha(alpha - 2 beta) > 0. Simple and convenient discriminant formula at the 3D interface corner is also indicated for the appearance of the stress singularity. (C) 2021 Elsevier Ltd. All rights reserved.

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