An anisotropic gradient damage model with energy limiter for brittle crack propagation in composites

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An anisotropic gradient damage model with energy limiter for brittle crack propagation in composites

Tạp chí thuộc SCIE| Tháng 01, 2025

Tác giả: Hung Thanh Tran, Tinh Quoc Bui

An anisotropic gradient damage model with energy limiter for brittle crack propagation in composites

Authors: Hung Thanh Tran, Tinh Quoc Bui

Journal: Composite Structures

Link: https://doi.org/10.1016/j.compstruct.2024.118707

Abstract:

This work presents a novel anisotropic implicit gradient-enhanced damage model for directional fracture in composites with a single family of fibers. The improvement of anisotropy into the new smeared crack damage model is necessary and meaningful to adequately capture the typical orientation-dependent behavior of cracks in anisotropic media. Under the setting, the relationship between cracks and fiber direction is described through the introduction of a second-order structural tensor. This tensor depends on an anisotropic coefficient and the orientations of the fibers, which in turn control the direction of the simulated cracks. Consistently, the standard isotropic strain energy density function as the damage-driving term is replaced by the anisotropic SED function for the fiber-reinforced composites. With the use of the anisotropic SED function, a proper energy splitting technique is adopted for avoiding nonphysical damage under compression. The final governing equations of the equilibrium and anisotropic diffusive damage evolution equation are solved by means of the standard FEM with the aid of a staggered algorithm. The accuracy and modeling capacity of the developed direction-dependent fracture formulation are demonstrated through a set of representative numerical experiments. It shows that the anisotropic damage model can predict complex directional failure in transversely isotropic materials.

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An anisotropic gradient damage model with energy limiter for brittle crack propagation in composites