Abstract

Abstract A finite element model for structural analysis of media with embedded inclusions is presented. The “embedded element concept” is adopted to model the contact interaction of two medium components along the contact interface considering a mixed 3D-1D formulation. The Mohr-Coulomb interface model is employed to define the bond-stress and bond-slip relation and strains associated with bond-slip are assumed to remain infinitesimal along the interface. Nonlinear analysis is performed with a corotational kinematics description introduced in the context of embedded approach. The problem of load transfer in mooring anchor systems was investigated and reasonable results were obtained using the present model.

Highlights

  • Received: December 07, 2017 In Revised Form: December 11, 2017 Accepted: June 19, 2018 Available Online: June 26, 2018Many problems of structural engineering as well as geotechnical and petroleum engineering involve linear or curvilinear inclusions embedded in a solid material matrix

  • It is underlined that when the medium consists in a homogeneous matrix reinforced by several linear inclusions that are arranged periodically, the homogenization method or multiphase modelling appear as alternatives to handling the matrix/inclusion interaction problem (see for instance Bernaud et al (1995), de Buhan and Sudret (1999), Sudret and de Buhan (2001), Bennis and de Buhan (2003), Hassen and de Buhan (2006), de Buhan et al (2008), Bernaud et al (2009), Hassen et al (2013), to cite a few)

  • In terms of engineering application, the proposed finite element modeling is applied to evaluate the load attenuation at the anchoring point of a typical mooring line utilized in anchoring systems of offshore platforms, considering the solid-structure interaction occurring along the buried segment of the mooring line

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Summary

INTRODUCTION

Received: December 07, 2017 In Revised Form: December 11, 2017 Accepted: June 19, 2018 Available Online: June 26, 2018. Reinforced concrete is the most common example with reinforcing steel bars modeled as cable elements and incorporated into the finite elements referring to the concrete material (see for instance Manzoli et al (2008), Oliver et al (2008) or Figueiredo et al (2013), to cite some recent references among the numerous contributions in the field) Similar approaches, such as those implemented by Zhou et al (2009) or Maghous et al (2012), may be used in geotechnical applications, especially for load evaluations in anchoring systems employed in offshore oil platforms, where soil-mooring line interaction can be characterized using a mixed 3D-1D finite element formulation. A more comprehensive modeling is still to be developed in order to properly take into account large relative displacements along the interface In this context, it is noted that the objective of this contribution is to formulate a mixed 3D-1D finite element method for analyzing solid-structure interactions in geomaterials with embedded curvilinear inclusions. In terms of engineering application, the proposed finite element modeling is applied to evaluate the load attenuation at the anchoring point of a typical mooring line utilized in anchoring systems of offshore platforms, considering the solid-structure interaction occurring along the buried segment of the mooring line

Geometric and kinematic setting
Constitutive equations for matrix and embedded inclusion
Constitutive behavior for interface material
FINITE STRAIN APPROACH
Corotational description of matrix particles motion
Finite element discretization
VERIFICATION TEST OF NUMERICAL PROCEDURE
9: Load-strain curves for the inclusion pull-out test:
Problem description
Geometry discretization aspects
Model data
Preliminary numerical simulations
Spectral density of considered mechanical system
Effects of interface tangential stiffness on load attenuation
Further simulations
CONCLUSIONS
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