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

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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.

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Authors and Affiliations

  1. College of Civil Engineering, Key Laboratory of New Technology for Construction of Cities in Mountain Area, Chongqing University, Chongqing, 400045, China

    Hang Zhou

  2. State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221116, Jiangsu Province, China

    Hang Zhou

Authors
  1. Hang Zhou
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Correspondence to Hang Zhou.

Additional information

Project supported by the National Natural Science Foundation of China (No. 51420105013), the State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology (No. SKLGDUEK1713), and the Fundamental Research Funds for the Central Universities (Nos. 106112017CDJXY200003 and 106112017CDJPT200001)

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Zhou, H. Complex variable solution for boundary value problem with X-shaped cavity in plane elasticity and its application. Appl. Math. Mech.-Engl. Ed. 38, 1329–1346 (2017). https://doi.org/10.1007/s10483-017-2235-8

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  • DOI: https://doi.org/10.1007/s10483-017-2235-8

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Chinese Library Classification

2010 Mathematics Subject Classification

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