From continuum mechanics to fracture mechanics: the strong discontinuity approach

By Javier Oliver, Alfredo Huespe, M. D. G. Pulido, E. Chaves. 2002

311 citations recorded by the source corpus.

Abstract The paper deals with the strong discontinuity approach and shows the links with the decohesive fracture mechanics provided by that approach. On the basis of 1D continuum damage models it is shown that, by introducing some few ingredients like the strong discontinuity kinematics, discrete constitutive models (traction vs. displacement jumps) are automatically induced. For the general 2D–3D cases it is shown that the weak discontinuity concept is an additional ingredient, necessary in order to fulfill the strong discontinuity conditions, which allows to establish additional links with the fracture process zone concept. Also classical fracture mechanics properties as the fracture energy are related to the continuum model properties in a straightforward manner.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/e5207d0455c75ee25d058a5d9de94a826d8dba90

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM (2006, methodology): “The experimental test, reproduced in this section using two- and three-dimensional models, was reported in [11], and its numerical solution, in 2D, was also studied in [ 27 ,30].”
Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments (2009, background): “Even though several works attempt to establish an equivalence between the discrete and the smeared approaches (Mazars and Pijaudier-Cabot, 1996; Oliver et al., 2002; Mariani and Perego, 2003; de Borst et al., 2004; Cazes et al., 2009), the link between damage and fracture remains vague in most of th”
Continuum approach to the numerical simulation of material failure in concrete (2004, background): “The discrete constitutive law (9) establishes a clear link between the CSDA and the discrete, fracture mechanics-based, approaches [10].”
3D Crack propagation in unreinforced concrete. A two-step algorithm for tracking 3D crack paths (2006, result): “Note, however, that it was recently shown that every continuum constitutive model linked to strong discontinuity kinematics includes a discrete model in a consistent manner [32, 36 ].”
Modeling 3D crack propagation in unreinforced concrete using PUFEM (2005, unknown): “Numerical failure simulations of this problem, which are based on a smeared representation of the crack are given in, for example, [45,43,44,47,9,20,26,25], and simulations based on a discrete representation of the failure zone are provided in, for example, [46,43,44,47,60,62,63,1,38].”
Stability and robustness issues in numerical modeling of material failure with the strong discontinuity approach (2006, background): “As an specific branch, the Continuum Strong Discontinuity Approach (CSDA) offers some additional features already presented in a number of works [9-14].”
A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements (2009, methodology): “The development of finite elements with strong embedded discontinuities became a powerful technique for the efficient modelling of strain localization (Simo and Rifai 1990; Dvorkin et al. 1990; Klisinski et al. 1991; Simo et al. 1993; Lofti and Shing 1995; Larsson and Runesson 1996; Oliver 1996; Arm”
Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions (2012, background): “The permeable crack boundary conditions were the first to be considered for electromechanical materials (Parton, 1976).”
Non‐linear analysis of shells with arbitrary evolving cracks using XFEM (2005, unknown): “the shell before cracking) by the discrete is known from work in strong discontinuity analysis [10, 14].”
Continuum approach to material failure in strong discontinuity settings (2004, background): “This paper is devoted to describe the analytical and computational ingredients of a continuum strong discontinuity approach (CSDA) to material failure that plays that role of bridging continuum and discrete failure mechanics [21].”
A phase-field/gradient damage model for brittle fracture in elastic–plastic solids (2015, unknown): “[10]), Huespe et al.”
On the strong discontinuity approach in finite deformation settings (2003, methodology): “2 provides a tool to automatically induce those strong discontinuity conditions and to relate them to the fracture process zone concept, classically considered in fracture mechanics [25].”
Meta-modeling game for deriving theoretical-consistent, micro-structural-based traction-separation laws via deep reinforcement learning (2018, background): “The elements along the interface are enhanced by assumed strain formulation to embed the strong discontinuity [Oliver et al., 2002], while the other elements are regular bulk finite elements.”