Elastic field near the tip of an anticrack in a decagonal quasicrystalline material

doi:10.1007/s10483-020-2582-8

Applied Mathematics and Mechanics (English Edition) ›› 2020, Vol. 41 ›› Issue (3): 401-408.doi: https://doi.org/10.1007/s10483-020-2582-8

Elastic field near the tip of an anticrack in a decagonal quasicrystalline material

Xu WANG¹, P. SCHIAVONE²

1. School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China;
2. Department of Mechanical Engineering, 10-203 Donadeo Innovation Centre for Engineering, University of Alberta, Edmonton, Alberta T6G 1H9, Canada

收稿日期:2019-08-20 修回日期:2019-11-26 出版日期:2020-03-01 发布日期:2020-02-17
通讯作者: P. SCHIAVONE E-mail:p.schiavone@ualberta.ca
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11272121) and the Natural Sciences and Engineering Research Council of Canada (No. RGPIN-2017-03716115112)

Elastic field near the tip of an anticrack in a decagonal quasicrystalline material

Xu WANG¹, P. SCHIAVONE²

1. School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China;
2. Department of Mechanical Engineering, 10-203 Donadeo Innovation Centre for Engineering, University of Alberta, Edmonton, Alberta T6G 1H9, Canada

Received:2019-08-20 Revised:2019-11-26 Online:2020-03-01 Published:2020-02-17
Contact: P. SCHIAVONE E-mail:p.schiavone@ualberta.ca
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11272121) and the Natural Sciences and Engineering Research Council of Canada (No. RGPIN-2017-03716115112)

摘要/Abstract

摘要： We investigate the elastic field near the tip of an anticrack in a homogeneous decagonal quasicrystalline material subject to plane strain deformations. The phonon and phason stresses exhibit a square root singularity at the anticrack tip. Two realvalued phonon stress intensity factors and two real-valued phason stress intensity factors are introduced to scale four separate modes of deformation. We obtain four analytic functions which completely characterize the induced phonon and phason stresses as well as the displacement field. In particular, we derive a concise yet elegant representation of the anticrack contraction force.

关键词: decagonal quasicrystal, anticrack, elastic field, anticrack contraction force, analytic continuation

Abstract: We investigate the elastic field near the tip of an anticrack in a homogeneous decagonal quasicrystalline material subject to plane strain deformations. The phonon and phason stresses exhibit a square root singularity at the anticrack tip. Two realvalued phonon stress intensity factors and two real-valued phason stress intensity factors are introduced to scale four separate modes of deformation. We obtain four analytic functions which completely characterize the induced phonon and phason stresses as well as the displacement field. In particular, we derive a concise yet elegant representation of the anticrack contraction force.

Key words: decagonal quasicrystal, anticrack, elastic field, anticrack contraction force, analytic continuation

中图分类号:

Xu WANG, P. SCHIAVONE. Elastic field near the tip of an anticrack in a decagonal quasicrystalline material[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(3): 401-408.

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Elastic field near the tip of an anticrack in a decagonal quasicrystalline material

Elastic field near the tip of an anticrack in a decagonal quasicrystalline material

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