Brittle fracture

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Gradient damage models and their use to approximate brittle fracture

Gradient damage models and their use to approximate brittle fracture

... d Laboratoire de M´ecanique des Solides, Ecole Polytechnique, 91128 Palaiseau, France Abstract In its numerical implementation, the variational approach to brittle fracture approximates the crack evolution ...

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A mixed adhesion–brittle fracture model and its application to the numerical study of ice shedding mechanisms

A mixed adhesion–brittle fracture model and its application to the numerical study of ice shedding mechanisms

... interfacial damage variable strain Lamé coefficients Pa adhesion history function J m2 brittle fracture history function J m3 porosity stress Pa damage variable grain size m crack energy[r] ...

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Real-Time Simulation of Brittle Fracture using Modal Analysis

Real-Time Simulation of Brittle Fracture using Modal Analysis

... for brittle fracture have also been introduced by [PKA + ...Real-Time Fracture Simulation The first physically-based real-time system for frac- ture has been proposed in [MMDJ01], where bodies ...

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Crack nucleation in variational phase-field models of brittle fracture

Crack nucleation in variational phase-field models of brittle fracture

... of brittle fracture [ 51 ] and its heir, Linear Elastic Fracture Mechanics (LEFM), still faces many ...of fracture scales then as 1/ √ L, leading to a infinite nucleation load as the structure ...

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Gradient damage models and their use in brittle fracture

Gradient damage models and their use in brittle fracture

... of fracture me- chanics relies strongly on the variational structure of both models, hence justifying the necessity to work with standard damage ...variational fracture mechanics problem. The variational ...

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Variational Approach to Dynamic Brittle Fracture via Gradient Damage Models

Variational Approach to Dynamic Brittle Fracture via Gradient Damage Models

... Dynamic fracture, Gradient damage models, Variational principles, Finite element imple- mentation 1 Introduction Gradient damage models as formulated in a pure variational setting [1] provide, through strain and ...

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Revisiting energy release rates in brittle fracture

Revisiting energy release rates in brittle fracture

... Received: 29 September 2008 / Accepted: 19 February 2010 © Springer Science+Business Media, LLC 2010 Abstract We revisit in a 2d setting the notion of energy release rate, which plays a pivotal role in brittle ...

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A phase‐field model for brittle fracture of anisotropic materials

A phase‐field model for brittle fracture of anisotropic materials

... of brittle fracture is their ability to correctly reproduce the impact of load- ing ...of brittle materials (ie, tension/compression asymmetry), different strategies have been ...of brittle ...

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Numerical investigation of dynamic brittle fracture via gradient damage models

Numerical investigation of dynamic brittle fracture via gradient damage models

... of brittle fracture, where the internal length  is then interpreted as a mate- rial parameter which contributes to the fracture or damage behavior of ...of fracture mechanics, see the work of ...

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A crystallographic approach of brittle fracture in the 16MND5 bainitic steel. In-situ X-ray diffraction and scanning electron microscope measurements at low temperatures

A crystallographic approach of brittle fracture in the 16MND5 bainitic steel. In-situ X-ray diffraction and scanning electron microscope measurements at low temperatures

... tests, brittle fracture, stress analysis, cleavage criterion, polycrystalline ...to brittle transition range to higher ...for brittle fracture (nucleation and propagation of cracks)) at ...

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Electromechanical Resonant Ice Protection Systems: Numerical Investigation through a Phase-Field mixed Adhesive / Brittle Fracture Model

Electromechanical Resonant Ice Protection Systems: Numerical Investigation through a Phase-Field mixed Adhesive / Brittle Fracture Model

... 3.1. Brittle fracture model Modelling fracture mechanics is not an easy ...given fracture toughness, according to Gri ffith’s theory [ 27 ], to determine if a fracture is unstable or ...

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From plastic flow to brittle fracture: Role of microscopic friction in amorphous solids

From plastic flow to brittle fracture: Role of microscopic friction in amorphous solids

... Based on this picture, the emergence of shear localization in “well-aged” glasses, accompanying the macroscopic stress drop, was interpreted in the framework of the nonequilibrium phase coexistence and first-order ...

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Local/global model order reduction strategy for the simulation of quasi-brittle fracture

Local/global model order reduction strategy for the simulation of quasi-brittle fracture

... for brittle fracture, in particular nonlocal continuum damage or softening plasticity models, for which the distinction between local and global effects is not ...

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Electromechanical resonant ice protection systems: numerical investigation through a phase-field mixed adhesive/brittle fracture model

Electromechanical resonant ice protection systems: numerical investigation through a phase-field mixed adhesive/brittle fracture model

... Case 1 (pure cohesive). In this simplified test, only the ice layer is simulated. To mimick the presence of the alu- minium substrate which undergoes the flexural mode on its neutral line, displacements are imposed on ...

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Brittle fracture

Brittle fracture

... for different time intervals.. log size for different time intervals.. log size for different time intervals.. log size for different time intervals.. The mathematical mod[r] ...

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A mixed adhesion–brittle fracture model and its application to the numerical study of ice shedding mechanisms

A mixed adhesion–brittle fracture model and its application to the numerical study of ice shedding mechanisms

... Algorithm 1. Adhesive/brittle failure computation where  b and  d are set to 10 3 . The algorithm can be viewed in the following manner. For each debonded configuration, a bulk damage computation is performed ...

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A Size and Boundary Effects Model for Quasi-Brittle Fracture

A Size and Boundary Effects Model for Quasi-Brittle Fracture

... Received: 27 November 2016; Accepted: 19 December 2016; Published: 21 December 2016 Abstract: The fracture behaviors of quasi-brittle materials are commonly specimen size (size effect) and crack size ...

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Using the discrete element method to simulate brittle fracture in the indentation of a silica glass with a blunt indenter

Using the discrete element method to simulate brittle fracture in the indentation of a silica glass with a blunt indenter

... In this paper, studies are conducted on the silica glass material, which can be considered to be a homogeneous, isotropic and perfectly brittle elastic material. This re- search is related to the subsurface damage ...

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Linear and nonlinear solvers for variational phase-field models of brittle fracture

Linear and nonlinear solvers for variational phase-field models of brittle fracture

... 2 Center for Biomedical Computing, Simula Research Laboratory, Oslo, Norway 3 Institut Jean Le Rond d’Alembert, Sorbonne Universit´es, UPMC, Univ Paris 06, CNRS, UMR 7190, France SUMMARY The variational approach to ...

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A DENSITY RESULT FOR GSBD AND ITS APPLICATION TO THE APPROXIMATION OF BRITTLE FRACTURE ENERGIES

A DENSITY RESULT FOR GSBD AND ITS APPLICATION TO THE APPROXIMATION OF BRITTLE FRACTURE ENERGIES

... [10] B. Bourdin, G. A. Francfort, J.-J. Marigo, The variational approach to fracture, J. Elasticity 91 (2008), 5–148. [11] G. Buttazzo, “Semicontinuity, Relaxation and Integral Representation in the Calculus of ...

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