Dynamical Equations for Polar Continua in Orthogonal Curvilinear Coordinates

Dai Tianmin; Song Yanqi

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(5): 441-444

Dai Tianmin, Song Yanqi. Dynamical Equations for Polar Continua in Orthogonal Curvilinear Coordinates[J]. Applied Mathematics and Mechanics, 1999, 20(5): 441-444.

Citation:

Dai Tianmin, Song Yanqi. Dynamical Equations for Polar Continua in Orthogonal Curvilinear Coordinates[J]. Applied Mathematics and Mechanics, 1999, 20(5): 441-444.

Citation:

Dai Tianmin, Song Yanqi. Dynamical Equations for Polar Continua in Orthogonal Curvilinear Coordinates[J]. Applied Mathematics and Mechanics, 1999, 20(5): 441-444.

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Dynamical Equations for Polar Continua in Orthogonal Curvilinear Coordinates

Dai Tianmin¹,
Song Yanqi²

1.
Center for the Application of Mathematics and Department of Mathematics, Liaoning University, Shenyang 110036, P R China;
2.
Graduate School of China Mine University, Beijing 100083, P R China

Received Date: 1988-04-06
Rev Recd Date: 1999-01-08
Publish Date: 1999-05-15

Abstract

Abstract

In this paper the concrete forms of dynamical equations for finite deformable polar elastic media of Boussinesq type,Kirchhoff type,Signorini type and Novozhilov type with help of the anholonomic physical frame method are derived.
- polar continua,
- dynamical equations,
- anholonomic physical frame

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References(7)

References

[1]	戴天民.有限变形极性弹性介质的各型动力学方程组[J].应用数学和力学,1997,18(10):861～865.
[2]	Dluzewski P H.Finite deformations of polar elastic media[J].Int J Solids Structures,1993,30(16):2277～2285.
[3]	郭仲衡.非线性弹性理论[M].北京:科学出版社,1980.
[4]	戴天民.张量和连续介质力学[M].沈阳:辽宁大学出版社,1986.
[5]	宋彦琦,戴天民.计算机辅助推导微极连续统方程[J].工程力学(增刊),1995,247～249.
[6]	戴天民.三组非局部极性热力连续统的均衡方程和跳变条件[J].中国科学(A辑),1997,27(12):1106～1110.
[7]	Altman W,Marmo de Oliveira A.Physical and anholonomic components of tensors of elastic theory[J].Int J Non-Linear Mechanics,1995,30(3):341～358.