A numerical homogenization scheme used for derivation of a homogenized viscoelastic-viscoplastic model for the transverse response of fiber-reinforced polymer composites. (15th November 2020)

• Record Type: Journal Article
• Authors: Liu, Y.; Van der Meer, F.P.; Sluys, L.J.; Fan, J.T.
• Is Part Of: Composite structures. Volume 252(2020)
• Publication Date: 2020-11-15
• Subjects: Composites -- Viscoelasticity -- Viscoplasticity -- RVE -- Numerical homogenization; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2020.112690
• Languages: English
• ISSNs: 0263-8223

Abstract

Abstract: With a classical notched configuration, the damage process in the transverse plane of fiber-reinforced polymer composites are studied by a direct numerical simulation model (DNS). However, to avoid high computational costs the region in which the fiber/matrix microstructure is explicitly modeled must remain small. Therefore, away from the notch tip, a homogenized model is needed to capture the far-field mechanical response without damage but with possibly rate-dependent nonlinearity. In this contribution, with a representative volume element (RVE), a step-by-step numerical homogenization procedure is introduced to calibrate a homogenized viscoelastic-viscoplastic (VE-VP) model with the same formulation as the VE-VP model used for describing the polymer behavior in the RVE model. The calibrated VE-VP model is used in a homogenized FEM model to describe the composite material response and compared against the RVE model. It is found that: (1) the homogenized model captures the viscoelastic deformation, the rate-dependent yielding, stress relaxation and unloading behavior of the polymer composite well, although the assumptions of a single plastic Poisson's ratio and pure isotropic hardening are oversimplifications of the composite behavior; (2) the novel step-by-step numerical homogenization procedure provides an efficient and accurate way for obtaining material parameters of a VE-VP model.