NEW POINTS OF VIEW ON THE NONLOCAL FIELD THEORY AND THEIR APPLICATIONS TO THE FRACTURE MECHANICS (Ⅰ)──FUNDAMENTAL THEORY

Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (1): 45-54.

NEW POINTS OF VIEW ON THE NONLOCAL FIELD THEORY AND THEIR APPLICATIONS TO THE FRACTURE MECHANICS (Ⅰ)──FUNDAMENTAL THEORY

黄再兴, 樊蔚勋, 黄维扬

Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China

收稿日期:1995-03-23 出版日期:1997-01-18 发布日期:1997-01-18

NEW POINTS OF VIEW ON THE NONLOCAL FIELD THEORY AND THEIR APPLICATIONS TO THE FRACTURE MECHANICS (Ⅰ)──FUNDAMENTAL THEORY

Huang Zhixin, Fan Weixun, Huang Weiyang

Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China

Received:1995-03-23 Online:1997-01-18 Published:1997-01-18

摘要/Abstract

摘要： In the linear nonlocal elasticity theory, the solution to the boundary-value problemof the crack with a constant stress boundary condition does not exist. This problemhas been studied in this paper. The contents studicd contain of examining objectivity ofthe energy balance, deducing the constitutive equations of nonlocal thermoelasticbodics, and determining nonlocalforce and the linear nonlocal elasticity theory. Somenew results are obtained. Among them, the stress boundary condition derived from thelinear theory not only solves the problem mentioned at the beginning, but also containsthe model of molecular cohesive Stress on the shorp crack tip advanced by Barenblatt.

Abstract: In the linear nonlocal elasticity theory, the solution to the boundary-value problemof the crack with a constant stress boundary condition does not exist. This problemhas been studied in this paper. The contents studicd contain of examining objectivity ofthe energy balance, deducing the constitutive equations of nonlocal thermoelasticbodics, and determining nonlocalforce and the linear nonlocal elasticity theory. Somenew results are obtained. Among them, the stress boundary condition derived from thelinear theory not only solves the problem mentioned at the beginning, but also containsthe model of molecular cohesive Stress on the shorp crack tip advanced by Barenblatt.

黄再兴;樊蔚勋;黄维扬. NEW POINTS OF VIEW ON THE NONLOCAL FIELD THEORY AND THEIR APPLICATIONS TO THE FRACTURE MECHANICS (Ⅰ)──FUNDAMENTAL THEORY[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(1): 45-54.

Huang Zhixin;Fan Weixun;Huang Weiyang. NEW POINTS OF VIEW ON THE NONLOCAL FIELD THEORY AND THEIR APPLICATIONS TO THE FRACTURE MECHANICS (Ⅰ)──FUNDAMENTAL THEORY[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(1): 45-54.

参考文献

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NEW POINTS OF VIEW ON THE NONLOCAL FIELD THEORY AND THEIR APPLICATIONS TO THE FRACTURE MECHANICS (Ⅰ)──FUNDAMENTAL THEORY

NEW POINTS OF VIEW ON THE NONLOCAL FIELD THEORY AND THEIR APPLICATIONS TO THE FRACTURE MECHANICS (Ⅰ)──FUNDAMENTAL THEORY

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