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Stochastic multi-objective optimization of a viscoelastic composite plate

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Abstract

A layered viscoelastic rectangular plate fiber-reinforced in three directions and compressed in one direction has been studied. Two plate properties, namely, the critical compressive stress σcr and the coefficient of linear thermal expansion αxx, were analyzed by varying two parameters of the reinforcement geometry. The properties of the plate are determined by the properties of the composite components, eight of which are considered stochastic. The problem was solved for two variants: αxx → min or αxx → max. The calculations were carried out for three time intervals: t = 0, 27 days, and ∞. For t = 0, the region of t≂ real plate properties is determined with isolines for design parameters. Multi-objective compromise solutions are given for all three times t for each of the two variants along with the parameters of the property scatter ellipses.

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Translated from Mekhanika Kompozitnykh Materialov, Vol. 31, No. 3, pp. 363–369, May–June, 1995.

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Teters, G.A., Kregers, A.F. & Melbardis, Y.G. Stochastic multi-objective optimization of a viscoelastic composite plate. Mech Compos Mater 31, 266–270 (1995). https://doi.org/10.1007/BF00615640

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Keywords

  • Thermal Expansion
  • Compressive Stress
  • Design Parameter
  • Rectangular Plate
  • Composite Plate