Solving fracture problems using an asymptotic numerical method

The present work deals with the use of asymptotic numerical methods (ANM) to manage crack onset and crack growth in the framework of continuum damage mechanics (CDM). More specifically, an application of regularization techniques to a 1D cohesive model is proposed. The standard “triangle” damageable...

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Bibliographic Details
Published in:Computers & structures 2011-03, Vol.89 (5), p.476-484
Main Authors: Daridon, L., Wattrisse, B., Chrysochoos, A., Potier-Ferry, M.
Format: Article
Language:English
Subjects:
Asymptotic numerical method
Asymptotic properties
Cohesive zone model
Continuum damage mechanic
Damage
Engineering Sciences
Exact sciences and technology
Finite element method
Fracture
Fracture mechanics
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Mathematical analysis
Mathematical models
Mathematics
Mechanics
Mechanics of materials
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis
Numerical analysis. Scientific computation
Physics
Rupture
Sciences and techniques of general use
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
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Summary:The present work deals with the use of asymptotic numerical methods (ANM) to manage crack onset and crack growth in the framework of continuum damage mechanics (CDM). More specifically, an application of regularization techniques to a 1D cohesive model is proposed. The standard “triangle” damageable elastic model, which is often used in finite element codes to describe fracture of brittle materials, was chosen. Results associated with the load–unload cycle showed that ANM is convenient for numerically taking this specific irregular behavior into account. Moreover, the present paper also shows that the chosen damageable interface model can be introduced in the generalized standard material formalism, thus unabling us to define a complete energy balance associated with the damage process. In such a framework, the damage state is described by a new displacement variable. Finally, a 1D finite element application to a simple elastic damageable structure is shown to highlight the potential of this approach.
ISSN:0045-7949
1879-2243
DOI:10.1016/j.compstruc.2010.12.001