Published: 2015-04-22

Verification of the hemispherical finite element model of elastic space

Izabela Wójcik-Grząba , Lesław Kwaśniewski


The present paper outlines the verification process of the finite element model of elastic space. The axially-symmetrical model in the shape of a hemisphere made of linear-elastic material of one sort, i.e. homogeneous and isotropic, was considered. The solution of the generalised Boussinesq problem was used for verification. The suggested model enables the reduction in number of finite elements and consequently shortens calculating times in comparison to universally implemented shapes of models. It forms the basis for more complicated and comprehensive models. Results of calculations were compared with their equivalents related to the cylindrical model. Basic information on the application of the Finite Element Method (FEM) to issues of pavement modelling were featured. Likewise, commonly applied shapes of pavement models were described.


Boussinesq problem, Finite Element Method, flexible pavement, verification

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Wójcik-Grząba, I., & Kwaśniewski, L. (2015). Verification of the hemispherical finite element model of elastic space. Roads and Bridges - Drogi I Mosty, 14(1), 67–79.

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