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Related papers: Crack initiation in elastic bodies

200 papers

The focus of the article is on fracture criteria for dynamic crack propagation in elastic materials with microstructures. Steady-state propagation of a Mode III semi-infinite crack subject to loading applied on the crack surfaces is…

Materials Science · Physics 2013-09-11 L. Morini , A. Piccolroaz , G. Mishuris , E. Radi

In the present work, theoretical approaches, based on grain orientation dependent Young's modulus and Schmid factor are used to describe the influence of local grain orientation on crack initiation behaviour of the coarse grained nickel…

Materials Science · Physics 2018-06-07 Benedikt Engel , Tilmann Beck , Nadine Moch , Hanno Gottschalk , Sebastian Schmitz

Crystals of energetic materials, such as HMX, embedded in plastic binders are the building blocks of plastic-bonded explosives. Such heterogeneous energetic materials contain microstructural features such as sharp corners, interfaces…

Materials Science · Physics 2022-10-26 Pratik Das , H. S. Udaykumar

We consider a periodic, linear elastic laminate with a brittle crack, evolving along a prescribed path according to Griffith's criterion. We study the homogenized limit of this evolution, as the size of the layers vanishes. The limit…

Analysis of PDEs · Mathematics 2021-11-05 Matteo Negri

The dynamics of tensile crack fronts restricted to advance in a plane are studied. In an ideal linear elastic medium, a propagating mode along the crack front with a velocity slightly less than the Rayleigh wave velocity, is found to exist.…

Disordered Systems and Neural Networks · Physics 2009-10-30 Sharad Ramanathan , Daniel S. Fisher

The phase-field approach to fracture has been proven to be a mathematically sound and easy to implement method for computing crack propagation with arbitrary crack paths. Hereby crack growth is driven by energy minimization resulting in a…

Numerical Analysis · Mathematics 2019-06-26 Carola Bilgen , Kerstin Weinberg

We study some hyperbolic partial integro-differential systems in domains with time dependent cracks. In particular, we give conditions on the cracks which imply the uniqueness of the solution with prescribed initial-boundary conditions, and…

Analysis of PDEs · Mathematics 2025-10-24 Federico Cianci , Gianni Dal Maso

In this work, the crack nucleation under fretting loading is investigated experimentally with a damage tolerant 2024 aluminium alloy. A new method is introduced to determine its condition with respect to all loading parameters including the…

Materials Science · Physics 2008-10-23 H. Proudhon , S. Fouvry , G. R. Yantio

In this paper, the effect of local defects, viz., cracks and cutouts on the buckling behaviour of functionally graded material plates subjected to mechanical and thermal load is numerically studied. The internal discontinuities, viz.,…

Numerical Analysis · Mathematics 2013-11-14 S Natarajan , S Chakraborty , M Ganapathi , M Subramaniam

While of paramount importance in material science, the dynamics of cracks still lacks a complete physical explanation. The transition from their slow creep behavior to a fast propagation regime is a notable key, as it leads to full material…

Many people are aware of the theory of elastic fracture originated by AA Griffith, and although Griffith used the theorem of minimum potential energy most people seem unaware of the broader implications of this theorem. If it is set within…

Materials Science · Physics 2017-10-06 Clive E Neal-Sturgess

We provide an adaptive finite element approximation for a model of quasi-static crack growth in dimension two. The discrete setting consists of integral functionals that are defined on continuous, piecewise affine functions, where the…

Analysis of PDEs · Mathematics 2025-03-25 Vito Crismale , Manuel Friedrich , Joscha Seutter

This paper is devoted to study of the limiting behaviour of an elastic material with periodically distributed rigid inclusions of size {\epsilon}, as the small parameter {\epsilon} goes to zero. We address here the case with inclusions of…

Analysis of PDEs · Mathematics 2024-10-29 Lazarus Signing

The analysis of standardized low cycle fatigue (LCF) experiments shows that the failure times widely scatter. Furthermore, mechanical components often fail before the deterministic failure time is reached. A possibility to overcome these…

Materials Science · Physics 2022-07-07 M. Harder , P. Lion , L. Mäde , T. Beck , H. Gottschalk

We study experimentally the paths of an assembly of cracks growing in interaction in a heterogeneous two-dimensional elastic brittle material submitted to uniaxial stress. For a given initial crack assembly geometry, we observe two types of…

Materials Science · Physics 2013-10-15 Pierre-Philippe Cortet , Guillaume Huillard , Loïc Vanel , Sergio Ciliberto

Fractures are a critical process in how materials wear, weaken, and fail whose unpredictable behavior can have dire consequences. While the behavior of smooth cracks in ideal materials is well understood, it is assumed that for real,…

Materials Science · Physics 2022-10-05 Will Steinhardt , Shmuel M. Rubinstein

We study experimentally the slow growth of a single crack in a fibrous material and observe stepwise growth dynamics. We model the material as a lattice where the crack is pinned by elastic traps and grows due to thermally activated stress…

Statistical Mechanics · Physics 2009-11-10 Stephane Santucci , Loic Vanel , Sergio Ciliberto

Crack growth in stress corrosion cracking (SCC) in 7xxx Al alloys is an intermittent process, which generates successive crack arrest markings (CAMs) visible on the fracture surface. It is conjectured that H is generated at the crack tip…

This paper investigates hydraulic fracture in a media with periodic heterogeneous toughness. Results for the plane-strain (KGD) model are analysed. The energy distribution as the fracture propagates is examined, along with the evolution of…

Geophysics · Physics 2025-02-26 Daniel Peck , Gaspare Da Fies , Ivan Virshylo , Gennady Mishuris

We study the crackling noise emerging during single crack propagation in a specimen under three-point bending conditions. Computer simulations are carried out in the framework of a discrete element model where the specimen is discretized in…

Disordered Systems and Neural Networks · Physics 2011-04-28 Gabor Timar , Ferenc Kun