Continuum approach to material failure in strong discontinuity settings

By Javier Oliver, Alfredo Huespe. 2004

177 citations recorded by the source corpus.

The paper focuses the numerical modelling of material failure in a strong discontinuity setting using a continuum format. Displacement discontinuities, like fractures, cracks, slip lines, etc., are modelled in a strong discontinuity approach, enriched by a transition from weak to strong discontinuities to get an appropriate representation of the fracture process zone. The introduction of the strong discontinuity kinematics automatically projects any standard dissipative constitutive model, equipped with strain softening, into a discrete traction–separation law that is fulfilled at the discontinuity interface. Numerical issues like a global discontinuity tracking algorithm via a heat conduction-like problem are also presented. Some representative numerical simulations illustrate the performance of the presented approach.

Subfields: Materials Chemistry, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/dc8c83925bbc06e42d08081f4cda8e195b8ff72a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Materials Chemistry

1. Alfredo Huespe
2. P. Sánchez
3. Miguel Cervera
4. Michele Chiumenti
5. Javier Oliver
6. S. Blanco
7. Dorian L. Linero
8. Yiming Zhang

In Mechanical Engineering

1. Miguel Cervera
2. Michele Chiumenti
3. P. Sánchez
4. Javier Oliver
5. Alfredo Huespe
6. Dorian L. Linero
7. S. Blanco
8. Yiming Zhang

In Mechanics of Materials

1. Miguel Cervera
2. Michele Chiumenti
3. Alfredo Huespe
4. P. Sánchez
5. Yiming Zhang
6. Javier Oliver
7. S. Blanco
8. Dorian L. Linero

Citations in the corpus

• Smeared crack approach: back to the original track (2006, methodology): “Another of these efforts to model discrete cracks without the need of remeshing is the so-called strong discontinuity approach ([11], [12], [13], [14], [15], [16]).”
• A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM (2006, methodology): “For this purposes several strategies (tracking algorithms [5,6,19,22] are available in the literature).”
• Strong discontinuity embedded approach with standard SOS formulation: Element formulation, energy-based crack-tracking strategy, and validations (2015, background): “crack path is obtained even at the beginning of loading, as observed for the tension-shear test [53] and the four-point bending test with double notches [60].”
• Stability and robustness issues in numerical modeling of material failure with the strong discontinuity approach (2006, methodology): “A global tracking procedure, allowing for multiples failure surfaces has been considered [12].”