Homogenization of strength, fatigue and creep durability of composites with near periodic structure

Asymptotic homogenization technique and two-scale convergence is used for analysis of macro-strength, fatigue and creep durability of composites with a periodic structure. The linear damage accumulation rule is employed in the phenomenological micro-durability conditions (for each component of the composite) under varying cyclic or creep loading. Both local and nonlocal strength and durability conditions are analyzed. The strong convergence of the strength and fatigue and creep damage measures as the structure period tends to zero is proved and their limiting values are estimated.