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R. Heuer, F. Ziegler:
"Thermally loaded two-layer beams with fuzzy interlayer slip";
Talk: 9th International Congress on Thermal Stresses, Budapest; 2011-06-05 - 2011-06-09.

The presence of uncertainty in the mechanical properties of composite structures is considered as fuzzy randomness. When extending the work on two layer beam-, plate- and shell structures based on the definition of an equivalent effective homogeneous model, to include fuzzy interface slip, we can avoid numerical analyses schemes and work out the effects of thermal loads on these fuzzy structures. Fully analyzed within the scope of this paper is a simply supported beam with fuzzy interface stiffness making use of the superposition of the fuzzy quasi-static deflection and the modally expanded and truncated complementary fuzzy dynamic response. The analysis of this illustrative example is based on the interval representation (i.e. on the set of 〈 - cuts) with a triangular membership function of the interface stiffness prescribed. Within the scope of this short paper, membership functions of the quasi-static deflection are worked out using fuzzy set theory, however, avoiding artificial uncertainties.

quasi-static deflection, fuzzy influence functions, membership function, envelope surfaces