A new model of damage: a moving thick layer approach

Abstract

A new formulation of a damage law is proposed based on a continuous transition between a sound material and a totally or partially broken material. The evolution of damage is then associated with a moving layer. This point of view permits the description of initiation and propagation of defects in an unified framework. The motion of the thick layer is defined in the frame of the moving surface Γ o separating the sound material and the damaged material. When the damage parameters are continuous functions of the distance to Γ o , they satisfy the conditions of transport. For particular geometries and loadings the evolution of the system is discussed. Comparison with description of damage with discontinuities and sharp interface is also presented.

Coupling damage and cohesive zone models with the Thick Level Set approach to fracture

“…As many multi-scale approaches, the main drawback is that a coupling method between the different scales needs to be provided. The Thick Level Set method was introduced in [28] and [43] as a new way to regularize local damage models. The implementation was further improved in [3] for quasi-static loading and time-independent damage models, in [31] for dynamics and in [40] for 3D quasi-static problems.…”

Explicit dynamics with a non‐local damage model using the thick level set approach

“…Extension to dynamic brittle fracture can be found in [15,16].We now focus on the Thick Level Set (TLS) approach, a young approach to introduce non-locality in the formulation. It has been first introduced in a quasi-static context [11,17,18] and compared with phase field approaches [19] and is presented here in a dynamic context. This approach has the particularity to provide the non-locality only when a first defect emerges in the material body.…”

A Discrete Element Model for Damage and Fatigue Crack Growth of Quasi-Brittle Materials

“…erefore, the residual strength cannot be determined using these models. Moës et al proposed an alternative nonlocal damage model called the ick Level Set (TLS) approach [23][24][25][26] and implemented it in an extended finite element code to model the damage growth in solids.…”