Efficient and Reliable Nonlocal Damage Models
By A. Rodríguez‐Ferran, I. Morata, Antonio Huerta. 2004
48 citations recorded by the source corpus.
We present an efficient and reliable approach for the numerical modelling of failure with nonlocal damage models. The two major numerical challenges — the strongly nonlinear, highly localized and parameter-dependent structural response of quasi-brittle materials, and the interaction between non-adjacent finite elements associated to nonlocality — are addressed in detail. Efficiency is achieved with a suitable combination of load-stepping control technique and nonlinear solver for equilibrium equations. Reliability of the numerical results is ensured by an h-adaptive strategy based on error estimation. We use a residual-type error estimator for nonlinear FE analysis based on local computations, which, at the same time, accounts for the nonlocality of the damage model. The proposed approach is illustrated by means of three application examples: the three-point bending test, the single-edge notched beam test and the Brazilian test.
Subfields: Materials Chemistry, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/1c34dd6336759ab6a2d39f664cfa396744379769
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
- Stewart A. Silling
- Florin Bobaru
- Mijia Yang
- E. Askari
- Jifeng Xu
- Gilles Pijaudier-Cabot
- A. Rodríguez‐Ferran
- Antonio Huerta
In Mechanics of Materials
- Florin Bobaru
- Stewart A. Silling
- Mijia Yang
- Jifeng Xu
- E. Askari
- Erdogan Madenci
- Leonardo Fuchs Alves
- R. Lehoucq
Citations in the corpus
- An elastic plastic damage formulation for concrete: Application to elementary tests and comparison with an isotropic damage model (2006, background): “In a more general context, however, regularisation techniques should be included in the formulation to avoid numerical problems [37,34,38,1].”
- A new damage model based on non‐local displacements (2005, background): “The most common particular forms of Equations (3) and (4) are reviewed in Reference [11].”
- Convergence, adaptive refinement, and scaling in 1D peridynamics (2009, methodology): “Adaptive refinement for other non-local methods applied to damage problems and discretized using the finite element method has appeared in, for example, [20–23].”