Applied Mathematics and Mechanics

, Volume 13, Issue 9, pp 793–804 | Cite as

Theory of nonlocal asymmetric elastic solids

  • Gao Jian
  • Chen Zhi-da


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.

Key words

non-symmetrical stress nonlocal theory body couple stress 


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Copyright information

© Shanghai University of Technology (SUT) 1992

Authors and Affiliations

  • Gao Jian
    • 1
  • Chen Zhi-da
    • 2
  1. 1.Shandong Polytechnic UniversityJinan
  2. 2.Graduate SchoolChina University of MiningBeijing

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