Complex variable solution for boundary value problem with X-shaped cavity in plane elasticity and its application

doi:10.1007/s10483-017-2235-8

Abstract

Abstract:

A new type of displacement pile, the X-section cast-in-place concrete (XCC) pile, has recently been developed in China. Extensive field tests and laboratory experiments are undertaken to evaluate its performance and quantify the non-uniform deformation effect (NUDE) of the X-shaped cross section during installation. This paper develops a simplified theoretical model that attempts to capture the NUDE. Based on the theory of complex variable plane elasticity, closed-form solutions of the stress and displacement for the X-shaped cavity boundary value problem are given. Subsequently, the analytical solution is used to evaluate the NUDE, the concrete filling index (CFI), and the perimeter reduction coefficient of the XCC pile cross section. The computed results are compared with field test results, showing reasonable agreement. The present simplified theoretical model reveals the deformation mechanism of the X-shaped cavity and facilitates application of the newly developed XCC pile technique in geotechnical engineering.

Key words: singular perturbation theory, stiffened cylindrical shells, buckling and postbuckling, boundary value problem, complex variable solution, deformation mechanism, Xsection cast-in-place concrete (XCC) pile, plane elasticity, theoretical study

2010 MSC Number:

74B05

Hang ZHOU. Complex variable solution for boundary value problem with X-shaped cavity in plane elasticity and its application. Applied Mathematics and Mechanics (English Edition), 2017, 38(9): 1329-1346.

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