THE SOLVING PROBLEM AND THE DIFFERENCE SOLVING PROCESS FOR THE SHEAR OF A BOUNDED ELASTIC BODIES

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (2): 199-208.

THE SOLVING PROBLEM AND THE DIFFERENCE SOLVING PROCESS FOR THE SHEAR OF A BOUNDED ELASTIC BODIES

张鲁明, 常谦顺

Institute of Applied Mathematics, the Academia Sinica, Beijing 100080, P. R. China

收稿日期:1998-10-23 修回日期:1999-08-30 出版日期:2000-02-18 发布日期:2000-02-18

THE SOLVING PROBLEM AND THE DIFFERENCE SOLVING PROCESS FOR THE SHEAR OF A BOUNDED ELASTIC BODIES

Zhang Luming, Chang Qianshun

Institute of Applied Mathematics, the Academia Sinica, Beijing 100080, P. R. China

Received:1998-10-23 Revised:1999-08-30 Online:2000-02-18 Published:2000-02-18

摘要/Abstract

摘要： A long elastomer with rectangular section bonded between two parallel rigid surfaces will come about deformation because of the role of two opposite shear forces in both the top and bottom plate. The mathematic model of the deformation is deduced and a new difference solving process is proposed. For boundary condition with singularity, a detailed analysis and deduction is given and a new rational and effective discrete boundary condition is proposed. Simulate computation demonstrates that the result is identical with qualitative analysis. Therefore, a new and functional numerical method and quantitative analysis method are provided.

关键词: elastic body, shear, mathematic model, difference scheme

Abstract: A long elastomer with rectangular section bonded between two parallel rigid surfaces will come about deformation because of the role of two opposite shear forces in both the top and bottom plate. The mathematic model of the deformation is deduced and a new difference solving process is proposed. For boundary condition with singularity, a detailed analysis and deduction is given and a new rational and effective discrete boundary condition is proposed. Simulate computation demonstrates that the result is identical with qualitative analysis. Therefore, a new and functional numerical method and quantitative analysis method are provided.

Key words: elastic body, shear, mathematic model, difference scheme

中图分类号:

O241.82

张鲁明;常谦顺. THE SOLVING PROBLEM AND THE DIFFERENCE SOLVING PROCESS FOR THE SHEAR OF A BOUNDED ELASTIC BODIES[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(2): 199-208.

Zhang Luming;Chang Qianshun. THE SOLVING PROBLEM AND THE DIFFERENCE SOLVING PROCESS FOR THE SHEAR OF A BOUNDED ELASTIC BODIES[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(2): 199-208.

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THE SOLVING PROBLEM AND THE DIFFERENCE SOLVING PROCESS FOR THE SHEAR OF A BOUNDED ELASTIC BODIES

THE SOLVING PROBLEM AND THE DIFFERENCE SOLVING PROCESS FOR THE SHEAR OF A BOUNDED ELASTIC BODIES

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