A pseudo-transient solution strategy for the analysis of delamination by means of interface elements

Recent efforts in the finite element modelling of delamination have concentrated on the development of cohesive interface elements. These are characterised by a bilinear constitutive law, where there is an initial high positive stiffness until a threshold stress level is reached, followed by a negat...

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Bibliographic Details
Published in:Finite elements in analysis and design 2006-05, Vol.42 (8), p.698-708
Main Authors: Tenchev, R.T., Falzon, B.G.
Format: Article
Language:English
Subjects:
Composite laminates
Computational techniques
Damage
Delaminating
Delamination
Exact sciences and technology
Finite element method
Finite-element and galerkin methods
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Interface elements
Mathematical analysis
Mathematical methods in physics
Mathematical models
Modelling
Non-linear analysis
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Strategy
Structural and continuum mechanics
Transient solution
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Summary:Recent efforts in the finite element modelling of delamination have concentrated on the development of cohesive interface elements. These are characterised by a bilinear constitutive law, where there is an initial high positive stiffness until a threshold stress level is reached, followed by a negative tangent stiffness representing softening (or damage evolution). Complete decohesion occurs when the amount of work done per unit area of crack surface is equal to a critical strain energy release rate. It is difficult to achieve a stable, oscillation-free solution beyond the onset of damage, using standard implicit quasi-static methods, unless a very refined mesh is used. In the present paper, a new solution strategy is proposed based on a pseudo-transient formulation and demonstrated through the modelling of a double cantilever beam undergoing Mode I delamination. A detailed analysis into the sensitivity of the user-defined parameters is also presented. Comparisons with other published solutions using a quasi-static formulation show that the pseudo-transient formulation gives improved accuracy and oscillation-free results with coarser meshes.
ISSN:0168-874X
1872-6925
DOI:10.1016/j.finel.2005.10.006