Continuum Models of Ductile Fracture: A Review

By J. Besson. 2010

579 citations recorded by the source corpus.

The past 20 years have seen substantial work on the modeling of ductile damage and fracture. Several factors explain this interest. (i) There is a growing demand to provide tools which allow to increase the efficiency of structures (reduce weight, increase service temperature or load, etc.) while keeping or increasing safety. This goal is indeed first achieved by using better materials but also by improving design tools. Better tools have been provided which consist (ii) of material constitutive equations integrating a physically-based description of damage processes and (iii) of better numerical tools which allow to use the improved constitutive equations in structural computations which become more and more realistic. This article reviews the material constitutive equations and computational tools, which have been recently developed to simulate ductile rupture.

Subfields: Materials Chemistry, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/804b937e7ca6e66faf6194b49e703726610ec41c

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In Materials Chemistry

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

Historical review of internal state variable theory for inelasticity (2010, methodology): “Besson (2009) recently employed an ISV formulation in the CMD context to capture the effects of creep and he also (Besson 2010) recently reviewed some of the continuum damage models related to local and nonlocal constitutive models.”
Coupling damage and plasticity for a phase-field regularisation of brittle, cohesive and ductile fracture: One-dimensional examples (2017, background): “The general idea is to introduce plastic strains and suitable evolution laws, for coupling damage to plasticity, revisiting in a variational phase-field framework the classical approaches to ductile failure [18,19,43,63,65] .”
Void growth and coalescence in single crystals (2010, background): “…matrix (e.g. Benzerga and Besson, 2001), a strain gradient plasticity theory (e.g. Niordson, 2008), or with a matrix described by crystal plasticity (e.g. O’Regan et al., 1997; Shu, 1998; Orsini and Zikry, 2001; Gan et al., 2006; Potirniche et al., 2006a; Borg et al., 2008, Hussein et al., 2008).”
Fatigue Life Estimation Considering Damaging and Strengthening of Low amplitude Loads under Different Load Sequences Using Fuzzy Sets Approach (2011, background): “Comprehensive reviews of the subject about fatigue damage models have been conducted by Fatemi and Yang (1998), Schijve (2003), and Besson (2010).”
Computational homogenization of elasto-plastic porous metals (2012, unknown): “More recently, the variational approach has been extended by Danas and Ponte-Castañeda (2009a,b) involving second order methods to provide estimates for the effective material response in a large deformation setting and while accounting for evolving pore shapes. Unfortunately, this method does not d”
Ductile failure modeling (2016, methodology): “2013) and flat to slant transitions (Besson et al. 2013). The results of Srivastava et al. (2014) and those of Osovski et al. (2015) for the relation between crack growth resistancemeasures and fracture surface roughness measures have been based on the GTN model. Recent advances in void nucleation, ”
Phase-field modeling of ductile fracture (2015, methodology): “Within this category, the classical choice is Rice’s J-integral which presents a number of important drawbacks [1]: i.”
Phase‐field modeling of ductile fracture at finite strains: A robust variational‐based numerical implementation of a gradient‐extended theory by micromorphic regularization (2017, background): “A great number of pure phenomenological and micro-mechanically motivated approaches exist for the continuum modeling of ductile fracture, see, for example, Besson [1] and Li et al.”