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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 102
PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by:
Paper 95
Three-dimensional Analysis of Cohesive Crack Growth Coupled with Nonlinear Thermoelasticity J. Jaskowiec
Institute for Computational Civil Engineering, Faculty of Civil Engineering
J. Jaskowiec, "Three-dimensional Analysis of Cohesive Crack Growth Coupled with Nonlinear Thermoelasticity", in , (Editors), "Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 95, 2013. doi:10.4203/ccp.102.95
Keywords: fracture mechanics, cohesive crack, concrete, extended finite element method (XFEM), thermoelasticity.
Summary
This paper presents an algorithm for coupling cohesive crack modelling with stationary
and non-stationary heat flow. Firstly, the nonlinear system of equation, based
on global formulations, for such a computational model is derived. The nonlinearity
here comes from nonlinear relations in crack surface. The relations refers to cohesion
forces and to heat flux which both depend of crack opening and heat flux additionally
is dependent of temperature difference on both sides of the crack. In the paper
the discontinuities of displacement field and temperature field are both approximated
using the XFEM. All the analysis in the crack surface is performed using local coordinate
systems for each integration point. The local coordinate system is always
two-dimensional one for both 2D and 3D analysis. The paper is illustrated with a
thermo-mechanical example with an initially cracked domain. In the example both
stationary and non-stationary heat problems are analysed.
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