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[PDF] Top 20 From gradient damage laws to Griffith's theory of crack propagation

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From gradient damage laws to Griffith's theory of crack propagation

From gradient damage laws to Griffith's theory of crack propagation

... These damage gradient models contain an internal length η which can be considered as a material ...dimensions of the body, it can be proven by Gamma-convergence arguments (Ambrosio and Tortorelli ... Voir le document complet

19

Crack Tip Equation of Motion in Dynamic Gradient Damage Models

Crack Tip Equation of Motion in Dynamic Gradient Damage Models

... contribution to investigate the link between the dynamic gradient damage model and the classical Griffith’s theory of dynamic fracture during the crack propagation ... Voir le document complet

24

Initiation and propagation of fracture in the models of Griffith and Barenblatt

Initiation and propagation of fracture in the models of Griffith and Barenblatt

... length of the bar tends to infinity or the internal length scale, originating from the cohesive law, tends to ...onset of debonding and compute the complete history of ... Voir le document complet

20

Strain-gradient vs damage-gradient regularizations of softening damage models

Strain-gradient vs damage-gradient regularizations of softening damage models

... of gradient ...on gradient-type regularizations and compare the properties of strain-gradient (SG) and damage-gradient (DG) models, discussing their appropriateness ... Voir le document complet

31

Variational Approach to Dynamic Brittle Fracture via Gradient Damage Models

Variational Approach to Dynamic Brittle Fracture via Gradient Damage Models

... class of dynamic gradient damage models as a natural extension of the original quasi-static one ...choice of damage constitutive laws ...predefined crack path, it ... Voir le document complet

9

Crack initiation and propagation in rock.

Crack initiation and propagation in rock.

... Theories of crack initiation, propagation and bifurca- tion in perfect solids based on energy equilibrium criteria, elasticity theory considerations and particulate body mech[r] ... Voir le document complet

126

Avalanche Statistics of Interface Crack Propagation in Fiber Bundle Model : Characterisation of Cohesive Crack

Avalanche Statistics of Interface Crack Propagation in Fiber Bundle Model : Characterisation of Cohesive Crack

... characterization of the signal without con- sidering a specific value of the force, one may consider the above avalanches for any crack length U such that a fiber would break and then average over ... Voir le document complet

8

In theory, You crack under pressure!

In theory, You crack under pressure!

... Remark 1. The natural number r (p 0 , p 1 , ..., p k ) is well- defined, thanks to the well-ordering principle. A. Some examples to warm up. The following examples are taken from the reference [1]. ... Voir le document complet

2

From imprecise probability laws to fault tree analysis

From imprecise probability laws to fault tree analysis

... use of probability laws to model the failure of ...Behavior of the components of the system under study is represented by probability distributions, derived from failure ... Voir le document complet

15

Canonicity of Weak ω-groupoid Laws Using Parametricity Theory

Canonicity of Weak ω-groupoid Laws Using Parametricity Theory

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

16

Permeability due to the increase of damage in concrete: From diffuse to localized damage distributions

Permeability due to the increase of damage in concrete: From diffuse to localized damage distributions

... Computation of a Crack Opening in Continuum Damage Calculations The permeability defined in ...permeability of a continuum described by Dar- cy’s ...configurations of diffuse and ... Voir le document complet

8

A virtual hybrid test to control mixed-mode crack propagation in concrete

A virtual hybrid test to control mixed-mode crack propagation in concrete

... The damage model used to impose the virtual solicitation was developed by EDF R&D to characterize the crack propagation phenomena in certain quasi-brittle materials like concrete ... Voir le document complet

5

Gradient damage models and their use to approximate brittle fracture

Gradient damage models and their use to approximate brittle fracture

... suitable to correctly predict damage localization processes. From the mathematical point of view, softening local damage models are ill-posed, showing lack of ellipticity and ... Voir le document complet

35

Environmental impact on crack propagation of biobased building materials: application to Abies Alba Mil

Environmental impact on crack propagation of biobased building materials: application to Abies Alba Mil

... on crack propagation of biobased building materials: application to Abies Alba Mil Claude Feldman Pambou Nziengui 1,2 , Rostand Moutou Pitti 2,3 , Éric Fournely 2,3 1 ENEF, BP 3960 Libreville, ... Voir le document complet

3

Extension of Biot’s theory of wave propagation to frozen porous media

Extension of Biot’s theory of wave propagation to frozen porous media

... Longitudinal and transverse wave velocities as functions of unfro- zen water proportion for a consolidated medium (sintered bronze).. curves of velocities and attenuati[r] ... Voir le document complet

17

Mass lumping strategies for x-fem explicit dynamics: application to crack propagation

Mass lumping strategies for x-fem explicit dynamics: application to crack propagation

... X-FEM to work ...known to be unconditionally stable in the finite element context for stationary ...the crack tip is properly computed ...the crack grows. The number of enriched degrees ... Voir le document complet

29

Simulation of inter- and transgranular crack propagation in polycrystalline aggregates due to stress corrosion cracking

Simulation of inter- and transgranular crack propagation in polycrystalline aggregates due to stress corrosion cracking

... nisms of fracture, inter– and transgranular are taken into account in the same ...only crack propagation rate, but also the crack path, since several cracks are initiated by the intergranular ... Voir le document complet

42

Nonlinear ultrasound monitoring of single crack propagation in cortical bone

Nonlinear ultrasound monitoring of single crack propagation in cortical bone

... http://hdl.handle.net/10985/8259 To cite this version : Sylvain HAUPERT, Sandra GUERARD, David MITTON, Françoise PEYRIN, Pascal LAUGIER - Nonlinear ultrasound monitoring of single crack ... Voir le document complet

10

Gradient damage models coupled with plasticity and their application to dynamic fragmentation

Gradient damage models coupled with plasticity and their application to dynamic fragmentation

... Plasticity, Damage, Variational approach, Dynamical fracture, Fragmentation ...and propagation of is still an unresolved question in fracture ...objective of this chapter is to explain ... Voir le document complet

37

Damage accumulation in graphite/epoxy laminates due to cyclic gradient stress fields

Damage accumulation in graphite/epoxy laminates due to cyclic gradient stress fields

... An understanding of previous work studying the general effects of cyclic loading as well as damage growth and stiffness reduction is needed before investigating the [r] ... Voir le document complet

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