Numerical Investigation on the Compressive Behaviors of Islamic Geometric Patterns Inspired Architectured Material

The remarkable mechanical performance of architectural materials—composed of carefully designed building blocks—have received increasing interest from the scientific and engineering community in recent decades. Among architectural materials, lattice materials turned out to be the most promising structure to be further investigated as they offer many attractive properties for engineering applications—e.g., lightweight, auxetic effect, and high strength-to-weight ratio. Inspired by traditional Islamic Geometric Patterns (IGPs), this contribution investigates a new set of designs of lattice structures based on geometrical patterns easily controlled by a single designing parameter derived by the “Hasba” (measure in Arabic) method of construction of Islamic geometric patterns. Utilizing the commercial software Abaqus for finite element analysis, the mechanical behavior of an IGP-inspired lattice structure is numerically analyzed, particularly focusing on its uniaxial in-plane compressive properties under quasi-static conditions and revealing, through buckle and postbuckle analyses with a hyperelastic material model, insights into the structural instability and of these innovative lattice structures.