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

Abstract

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.