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Application of vector to small deformation

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Abstract

This paper first gives the definition of strain vector in elasticity body which is in small deformation, and points out that the strain state of point in the body is described by projection forms of the strain vector at this point, and then gives relation between strain vector-stress vector for isotropic elasticity body, moreover derives conditions that strain vector coincides with stress vector and the material is incompressible.

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References

  1. Wang Longpu,Elasticity Theory, Science Press (1979), 43. (in Chinese)

  2. Xu Zhilun,Elasticity Mechanics, The First Volume, The People Education Press (1979), 254. (in Chinese)

  3. Xu Bingye,Elasticity and Plasticity Mechanics—Examples and Exercises—, Mechanic Industry Press (1981), 34. (in Chinese)

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Communicated by Chien Weizang

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Shenxue, Z. Application of vector to small deformation. Appl Math Mech 17, 1137–1140 (1996). https://doi.org/10.1007/BF02498700

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  • DOI: https://doi.org/10.1007/BF02498700

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