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Analysis and calculation of stresses and displacements in layered elastic systems

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Abstract

The general formulae for the stresses and displacements in layered elastic systems subjected to external loads are derived in this paper. On the basis of these formulae the practical formulae for calculation of the stresses and displacements in layered elastic systems under the action of vertical, centripetal-horizontal, unidirectional-horizontal and rotational-horizontal loads distributed on circular areas and compressed by rigid circular plates are further derived, and the corresponding computer programs have been worked out.

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References

  1. Wang Kai, Stress and displacement analysis of anN-layer elastic-continuous system under vertical load uniformly distributed on a circular area,China Civil Engineering Journal,15, 2, (1982) (in Chinese).

  2. Wang Kai, Calculation of stresses, strains and displacements in anN-layer elastic-continuous system under the action of two complex loads uniformly distributed on circular areas,Acta Mechanica Solida Sinica, 1 (1983) (in Chinese).

  3. Wang Kai, Calculation of stresses and displacements in anN-layer elastic-Smooth system under the action of two complex loads uniformly distributed on circular areas,Northwest Highway, 3, (1981) (in Chinese).

  4. Wang Kai, Static calculation of an N-layer elastic system under combined loads uniformly distributed on circular areas,China Civil Engineering Journal,19, 1, (1986) (in Chinese).

  5. Wang Kai, The bowl-shaped distribution load diagram for pavement design,Chinese Journal of Geotechnical Engineering,5, 4 (Total 17) (1983) (in Chinese).

  6. Wang Kai, Calculation of Stresses and Displacements in anN-layer elastic system under centripetal-horizontal loads on circular areas,Journal of Chongqing Jiaotong Institute,2, (1984) (in Chinese).

  7. Wang Kai and Yao Bingqing, Analysis of stresses and displacements in layered elastic systems under rotational-horizontal loads on circular areas,Journal of Xi'-an Institute of Airforce Engineering, 2 (1984) (in Chinese).

  8. Wang Kai, Calculation of stresses and displacements in anN-layer semi-infinite elastic system compressed by rigid circular plates,Journal of Xi'an Institute of Highway, 3 (1985) (in Chinese).

  9. Muki, R., Three dimensional problem of elasticity theory for a semi-infinite solid compressed by a rigid body,Trans. Japan Soc. Mech. Eng.,21, (1955) (in Japanese).

  10. Muki, R., Three-dimensional problem of elasticity for a semi-infinite solid with a tangential load on its surface,Trans. Japan Soc. Mech. Eng. 22, (1956) (in Japanese).

  11. Schiffman, R.L., General Analysis of Stresses and Displacements in Layered Elastic Systems, Proc. of Int. Conf. on the Struct. Des. of Asphalt Pavements, (1962).

  12. Gerrard, C.M. and Wardle, L.J., Rational design of surface pavement layers,Journal of the Australian Road Research Board, June (1980).

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Authors and Affiliations

  1. Xian Highway Research Institute, Xian, China

    Wang Kai

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  1. Wang Kai
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Kai, W. Analysis and calculation of stresses and displacements in layered elastic systems. Acta Mech Sinica 3, 251–260 (1987). https://doi.org/10.1007/BF02486771

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  • DOI: https://doi.org/10.1007/BF02486771

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