A computationally efficient peridynamic framework for modeling damage in viscoelastic fiber-reinforced lamina

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A novel computational framework based on modified bond-based peridynamics is proposed for viscoelastic laminas. The framework accurately captures deformations, damage initiation, and propagation under mechanical and thermal loads . It reduces numerical complexity by directly assessing viscoelastic strains each time step, eliminating real-time increment constraints. Constitutive component models, including viscoelastic Prony series and lamina stiffness matrices , are integrated into a 2D formulation. To address the limitations of the adaptive dynamic relaxation (ADR) method in modeling high-rate phenomena, an innovative ADR variant with an infinitesimal steady time step is introduced, enabling accurate capture of thermoviscoelastic creep-recovery responses above glass transition temperatures . Model validation against literature data, analytical solutions, and finite element models demonstrates accurate predictions of thermoviscoelastic responses, lamina deformations, damage initiation, and propagation patterns. Stress-strain diagrams reveal an inverse relationship between fiber orientation and stress peaks. The framework's efficiency makes it suitable for modeling complex viscoelastic composites and delamination damage. Its capabilities enable high-fidelity virtual testing and design of advanced composites under multi-axial viscoelastic conditions.