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A Boussinesq–Cerruti Solution Set for Constant and Linear Distribution of Normal and Tangential Load over a Triangular Area

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Abstract

Starting from the elastic solution to a concentrated load on an elastic half space, this paper derives all the required Boussinesq–Cerruti equations for constant, linear and bilinear distributions of normal and tangential load over a triangle area, and presents a solution set to the equations. The surface displacement field in both the normal and tangential direction is obtained. The evaluations of Boussinesq–Cerruti equations are achieved by using various integration techniques. This paper also suggests a composition methodology to construct the solution due to more complicated loading profiles using the principle of superposition.

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Authors and Affiliations

  1. Department of Mechanical, Industrial and Nuclear Engineering, University of Cincinnati, P.O. Box 210072, Cincinnati, OH, 45221-0072, USA

    Junshan Li

  2. Department of Mechanical, Industrial and Nuclear Engineering, University of Cincinnati, P.O. Box 210072, Cincinnati, OH, 45221-0072, USA

    Edward J. Berger

Authors
  1. Junshan Li
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  2. Edward J. Berger
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Li, J., Berger, E.J. A Boussinesq–Cerruti Solution Set for Constant and Linear Distribution of Normal and Tangential Load over a Triangular Area. Journal of Elasticity 63, 137–151 (2001). https://doi.org/10.1023/A:1014013425423

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  • DOI: https://doi.org/10.1023/A:1014013425423

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