Study on steady-state thermal conduction with singularities in multi-material composites

Hu, X.F. and Gao, H.Y. and Yao, W.A. and Yang, S.T. (2017) Study on steady-state thermal conduction with singularities in multi-material composites. International Journal of Heat and Mass Transfer, 104. pp. 861-870. ISSN 0017-9310 (

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Increasing demand in material and mechanical properties has led to production of complex composite structures. The composite structures, made of different materials, possess a variety of properties derived from each material. This has brought challenges in both analytical and numerical studies in thermal conduction which is of significant importance for thermoelastic problems. Therefore, a unified and effective approach would be desirable. The present study makes a first attempt to determining the analytical symplectic eigen solution for steady-state thermal conduction problem of multi-material crack. Based on the obtained symplectic eigen solution (including higher order expanding eigen solution terms), a new symplectic analytical singular element (SASE) for numerical modeling is constructed. It is concluded that composite structures composed of multi-material with complex geometric shapes can be modeled by the developed method, and the generalized flux intensity factors (GFIFs) can be solved accurately and efficiently.