Stiffness loss of laminates with aligned intralaminar cracks Part I. Macroscopic constitutive relations

Abstract

The paper deals with analysis of reduction of the in-plane effective elastic moduli of the [0°_m/90°_n] laminates weakened by aligned cross-cracks in the 90°-layer. A regular crack pattern is assumed. The case of dense crack distribution is modelled by (h₀, l₀) approach, while the case of arbitrary crack density c_d is described by a more accurate model (h₀, l). Both models have been derived in our paper [10]. Closed-form formulae describing decaying curves E₁(c_d), E₂(c_d), ν₁₂(c_d), ν₂₁(c_d), G₁₂(c_d) are found by solution of the local problems for both models.