Role of interfacial transition zone in phase field modeling of fracture in layered heterogeneous structures

Abstract

A B S T R A C TMechanical behavior of layered materials and structures greatly depends on the mechanical behavior of interfaces. In the past decades, the failure in such layered media has been studied by many researchers due to their critical role in the mechanics and physics of solids. This study aims at investigating crackinterface interaction in two-dimensional (2-D) and three-dimensional (3-D) layered media by a phase field model. Our objectives are fourfold: (a) to better understand fracture behavior in layered heterogeneous systems under quasi-static load; (b) to introduce a new methodology for better describing interfaces by a regularized interfacial transition zone in the context of variational phase field approach, exploring its important role; (c) to show the accuracy, performance and applicability of the present model in modeling material failure at the interfaces in both 2-D and 3-D bodies; and (d) to quantitatively validate computed crack path with respect to experimental data. Phase field models with both perfectly and cohesive bonded interfaces are thus derived. A regularized interfacial transition zone is introduced to capture characteristics of material mismatch at the interfaces. Numerical examples for 2-D and 3-D layered systems with experimental validation provide fundamentals of fracture behavior in layered structures. The obtained results shed light on the behavior of crack paths, which are drastically affected by the elastic modulus mismatch between two layers and interface types, and reveal the important role of the proposed interfacial transition zone in phase field modeling of crack-interface interactions.

Experimental Research on Uniaxial Compression Constitutive Model of Hybrid Fiber-Reinforced Cementitious Composites

“…In this paper, the peak strain of specimens is calculated considering the effect of hybrid fibers. According to the mechanical mixing law of composite materials [13,14,15], the peak strain of two kinds of specimens can be obtained, and the peak strain can be expressed as εc=εnormalc0false(1+βsfλsf+βpfλpf+βvfλvffalse) where ε fsp0 and ε fvp0 are the peak strain of steel-PP and PVA-PP hybrid fiber specimens, respectively, and ε c0 is the peak strain. β sf , β pf , and β vf are the peak strain fitting parameters related to the content of steel fiber, PP fiber, and PVA fiber, respectively.…”

“…based on macro-scale experiment, and then apply them to the numerical model to calculate the mechanical behavior and structural properties, ignoring the mesostructural characteristics, for example, microcracks and inclusions; this kind of research has a small amount of calculation and is widely used in engineering, but it cannot reveal the intrinsic law of material damage evolution. At present, in the field of advanced damage mechanics, some scholars have put forward some advanced theories at the micro-level, such as discrete modeling of fibers and matrix lattices [13], phase field model [14], and gradient damage model [15]. The experiment in this paper can also provide data support for further theoretical research.…”

Heterogeneity effects on mixed‐mode I/II stress intensity factors and fracture path of laboratory asphalt mixtures in the shape of SCB specimen

“…[54][55][56][57][58][59][60][61][62][63] ) that can solve the crack problems faster than the finite element method can also be used for future fracture studies of heterogeneous asphalt mixtures. [54][55][56][57][58][59][60][61][62][63] ) that can solve the crack problems faster than the finite element method can also be used for future fracture studies of heterogeneous asphalt mixtures.…”

“…It is finally noted that although we used the finite element method for obtaining the stress intensity factors and path of heterogeneous asphalt mixtures, but other numerical methods and simulation mesh-free damage models XFEM and Extended Iso-Geometric Analysis (XIGA) techniques used in different papers (e.g. [54][55][56][57][58][59][60][61][62][63] ) that can solve the crack problems faster than the finite element method can also be used for future fracture studies of heterogeneous asphalt mixtures.…”

A manifold learning approach to accelerate phase field fracture simulations in the representative volume element

“…The advantages include obviating the need for explicitly tracking the crack path geometry, and the ability to predict crack nucleation and bifurcation without extra criterion. The method has since been applied to fracture modeling in Euler-Bernoulli beams [5], thin shells [6], composite materials [7,8], cement-based materials [9], layered structures [10], and CO 2 fracturing [11].…”