On the second order term asymptotic solution for sharp V-notch tip field in elasto-viscoplastic solids

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:217

Article

Dai, Yanwei^1,2  Qin, Fei^1,2  Liu, Yinghua³  Chao, Yuh J.⁴ 

[1] Beijing Univ Technol, Fac Mat & Mfg, Inst Elect Packaging Technol & Reliabil, Beijing 100124, Peoples R China

[2] Beijing Univ Technol, Beijing Key Lab Adv Mfg Technol, Beijing 100124, Peoples R China

[3] Tsinghua Univ, Dept Engn Mech, AML, Beijing 100084, Peoples R China

[4] Univ South Carolina, 300 Main St,Room A123, Columbia, SC 29208 USA

关键词: Two-order terms;    Asymptotic analysis;    Sharp V-notch;    Elasto-viscoplastic;    Constraint effect;   

DOI  :  10.1016/j.ijsolstr.2021.01.026

来源: Elsevier

【 摘 要 】

A two-order asymptotic solution for sharp V-notch tip mechanics field in elasto-viscoplastic solids with power-law form under mode I loading is developed. The stress exponents and angular distributions for various notch angles and viscoplastic exponents for the second terms are reported. The stress exponent of the first order is singular and is non-singular except for low creep exponent with small notch opening angle. Compared with finite element results from several V-notched specimens, it is found that the two-order solution can have a better estimate for those cases with small notch opening angles, e.g., alpha = 30 degrees under n = 5, than that of one-order solution regardless of viscoplastic extent, specimen type and loading level. One-order term solution is demonstrated to be sufficient to characterize the full field of sharp V-notch specimen for those conditions that elastic term is considered into higher order term, e.g., alpha = 60 degrees under n = 5, in all specimens under various viscoplasticity extents. (C) 2021 Elsevier Ltd. All rights reserved.

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