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R. Heuer, F. Ziegler:
"Thermally Loaded Two-Layer Beams with Fuzzy Interlayer Slip";
Journal of Thermal Stresses, 35 (2012), 192 - 204.

The presence of uncertainty in the mechanical properties of composite structures is
considered as fuzzy randomness. When extending the work on two layer beam-, plateand
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 article 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 a-cuts)
with a triangular membership function of the slip modulus prescribed. Membership
functions of the quasi-static deflection are worked out using fuzzy set theory, however,
avoiding artificial uncertainties. Maximum of the complementary dynamic deflection
is approximately evaluated by means of the SRSS superposition of the fuzzy modal
response.

Fuzzy complementary dynamic deflection; Fuzzy quasi-static deflection; Fuzzy randomness; Modal superposition by SRSS-method; Thermal shock.

http://dx.doi.org/10.1080/01495739.2012.637822