Asymptotic Homogenisation in Strength and Fatigue Durability Analysis of Composites
Asymptotic homogenisation technique and two-scale convergence is used for analysis of macro-strength and fatigue durability of composites with a periodic structure under cyclic loading. The linear damage accumulation rule is employed in the phenomenological micro-durability conditions (for each component of the composite) under varying cyclic loading. Both local and non-local strength and durability conditions are analysed. The strong convergence of the strength as the structure period tends to zero is proved and its limiting value is estimated.
KeywordsPeriodic structures two-scale convergence local strength conditions non-local strength conditions cyclic loading S-N durability diagram linear damage accumulation
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