Theory of Nonlocal Asymmetric Elastic Solids

Gao Jian; Chen Zhi-da

Volume 13 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(9): 765-774

Gao Jian, Chen Zhi-da. Theory of Nonlocal Asymmetric Elastic Solids[J]. Applied Mathematics and Mechanics, 1992, 13(9): 765-774.

Citation:

Gao Jian, Chen Zhi-da. Theory of Nonlocal Asymmetric Elastic Solids[J]. Applied Mathematics and Mechanics, 1992, 13(9): 765-774.

Citation:

Gao Jian, Chen Zhi-da. Theory of Nonlocal Asymmetric Elastic Solids[J]. Applied Mathematics and Mechanics, 1992, 13(9): 765-774.

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Theory of Nonlocal Asymmetric Elastic Solids

Gao Jian¹,
Chen Zhi-da²

1.
Shandong Polytechnic University, Ji'nan;
2.
Graduate School, China University of Mining, Beijing

Received Date: 1990-11-17
Publish Date: 1992-09-15

Abstract

Abstract

In this paper, a nonlinear theory of nonlocal asymmetric, elastic solids is developed on the basis of basic theories of nonlocal continuum field theory and nonlinear continuum mechanics. It perfects and expands the nonlocal elastic field theory developed by Eringen and others. The linear theory of nonlocal asymmetric elasticity developed in [1] expands to the finite deformation. We show that there is the nonlocal body moment in the nonlocal elastic solids. The nonlocal body moment causes the stress asymmetric and itself is caused by the covalent bond formed by the reaction between atoms. The theory developed in this paper is applied to explain reasonably that curves of dispersion relation of one-dimensional plane longitudinal waves are not similar with those of transverse waves.
- non-symmetrical stress,
- nonlocal theory,
- body couple stress

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References(8)

References

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[2]	Kunin,I.A,,Elastic Media with Microstructurel,Springer-Verlag,Berlin(1983).
[3]	Eringen,A.C,Continuum Physics Vol,Ⅱ-Ⅳ.Academic Press,New York(1976).
[4]	陈至达,《有理力学》,中国矿业大学出版社,徐州(1986).
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