2023/08/11 by Igor A. Rodrigues Lopes, Federico Danzi, Albertino Arteiro +4 · 8 citations
Engineering · Mathematics · #Classical mechanics #Composite Material Mechanics #Composite material #Constitutive equation #Cracking #Engineering #Finite element method #Finite strain theory #Invariant (physics) #Kinematics #Material failure theory #Materials science #Mathematical analysis #Mathematics #Mechanical Behavior of Composites #Monotonic function #Numerical methods in engineering #Physics #Plane stress #Structural engineering #Transverse plane
paper · doi:10.1016/j.ijsolstr.2023.112449
published in International Journal of Solids and Structures 282, 112449 (Elsevier BV)
openalex publication_date 2023/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26
An approach to predict intralaminar failure mechanisms in laminate fibre-reinforced composites, at finite strains, is proposed. Transverse matrix cracking is described by a smeared crack model, activated by an invariant-based failure criterion, where an embedded cohesive crack is considered in the continuum description. A deformation gradient decomposition based on homogenisation considerations is developed for a more objective finite strain kinematic description of transverse cracks. The local equilibrium problem is established in the reference configuration to naturally include re-orientation of the fracture plane, and the employed cohesive law is able to deal with non-monotonic loading. Moreover, a continuum damage model formulated in terms of the Green–Lagrange strain tensor is used for longitudinal failure. The simulation of an open-hole multi-directional specimen subjected to tension illustrates the ability of the proposed constitutive equations to capture experimental observations.