| THEORY OF NONLOCAL ASYMMETRIC ELASTIC SOLIDS |
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| 作者姓名： | 高键 陈至达 |
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| 作者单位： | Shandong Polytechnic University，Jinan，Graduate School，China University of Mining，Beijing |
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| 摘 要： | In this paper, a nonlinear theory of nonlocal asymmetric, elastic solids is developed on the basis of basic theories of nonlocal continuum fieM theory and nonlinear continuum mechanics. It perfects and expands the nonlocal elastic fiteld 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 noniocal 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.
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| 收稿时间： | 17 November 1990 |
Theory of nonlocal asymmetric elastic solids |
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| Gao Jian,Chen Zhi-da.THEORY OF NONLOCAL ASYMMETRIC ELASTIC SOLIDS[J].Applied Mathematics and Mechanics(English Edition),1992,13(9):793-804. |
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| Authors: | Gao Jian Chen Zhi-da |
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| Institution: | (1) Shandong Polytechnic University, Jinan;(2) Graduate School, China University of Mining, Beijing |
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| 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. |
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| Keywords: | non-symmetrical stress nonlocal theory body couple stress |
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