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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
Cracow University of Technology, Poland

Full Bibliographic Reference for this paper
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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