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Fatigue crack advance induced by the application of cyclic quasistatic loads is investigated both numerically and analytically using a lattice spring model. The system has a quasi-one-dimensional geometry, and consists in two symmetrical…

Materials Science · Physics 2012-06-28 Tomás M. Guozden , Eduardo A. Jagla

While cracks in isotropic homogeneous materials propagate straight, perpendicularly to the tensile axis, cracks in natural and synthetic composites deflect from a straight path, often increasing the toughness of the material. Here we…

Materials Science · Physics 2020-08-05 Ataollah Mesgarnejad , Chunzhou Pan , Randall M. Erb , Sandra J. Shefelbine , Alain Karma

Refractory masonry (refractories) is exposed to in-service loads of different types. To rationalise the masonry design and failure analysis, differences of failure under cyclic and monotonic loading were studied. For samples of silica…

Materials Science · Physics 2021-07-28 K. Andreev , Y. Yin , B. Luchini , I. Sabirov

This paper considers a steady-state crack propagating along an interface between dissimilar orthotropic materials under an asymmetric load. Although most of the known results so far deal with symmetric loading, it has been shown recently…

Classical Physics · Physics 2013-09-25 L. Pryce , L. Morini , G. Mishuris

Fatigue crack growth is decisive for the design of thin-walled structures such as fuselage shells of air planes. The cold rolling process, used to produce the aluminium sheets this structure is made of, leads to anisotropic mechanical…

Materials Science · Physics 2023-08-03 Martha Kalina , Vanessa Schöne , Boris Spak , Florian Paysan , Eric Breitbarth , Markus Kästner

Most of the research concerting crack propagation in discrete media is concerned with specific types of external loading: displacements on the boundaries, or constant energy fluxes or feeding waves originating from infinity. In this paper…

Soft Condensed Matter · Physics 2017-08-03 Nikolai Gorbushin , Gennady Mishuris

A novel FFT-based phase-field fracture framework for modelling fatigue crack initiation and propagation at the microscale is presented. A damage driving force is defined based on the stored energy and dislocation density, relating…

Computational Engineering, Finance, and Science · Computer Science 2023-04-04 Sergio Lucarini , Fionn P. E. Dunne , Emilio Martínez-Pañeda

Fracture growth in a material is strongly influenced by the presence of inhomogeneities, which deviate crack trajectories from rectilinearity and deeply affect failure. Increasing crack tortuosity is connected to enhancement of fracture…

Materials Science · Physics 2022-07-20 Riccardo Cavuoto , Pietro Lenarda , Diego Misseroni , Marco Paggi , Davide Bigoni

A force balance condition to predict quasistatic crack paths in anisotropic brittle materials is derived from an analysis of diffuse interface continuum models that describe both short-scale failure inside a microscopic process zone and…

Materials Science · Physics 2009-11-10 Vincent Hakim , Alain Karma

This paper investigates the effects of plasticity on the effective fracture toughness. A layered material is considered as a modelling system. An elastic-plastic phase-field model and a surfing boundary condition are used to study how the…

Computational Engineering, Finance, and Science · Computer Science 2020-10-15 Stella Brach

Phase-field models for anisotropic fracture employ two complementary mechanisms: (i) the anisotropic crack density function, controlling direction-dependent fracture resistance, and (ii) the anisotropic strain energy, governing the fracture…

Materials Science · Physics 2026-04-21 Guk Heon Kim , Minseo Kim , Kwangsan Chun , Jaemin Kim

Crack propagation is studied in a two dimensional decagonal model quasicrystal. The simulations reveal the dominating role of highly coordinated atomic environments as structure intrinsic obstacles for both dislocation motion and crack…

Materials Science · Physics 2009-10-31 R. Mikulla , J. Stadler , F. Krul , H. -R. Trebin , P. Gumbsch

Dynamic crack propagation drives catastrophic solid failures. In many amorphous brittle materials, sufficiently fast crack growth involves small-scale, high-frequency microcracking damage localized near the crack tip. The ultra-fast…

Materials Science · Physics 2012-03-30 Claudia Guerra , Julien Scheibert , Daniel Bonamy , Davy Dalmas

Crack initiation and propagation under high-cycle fatigue conditions have been investigated for a polycrystalline Ni-based superalloy by in-situ synchrotron assisted diffraction and phase contrast tomography. The cracks nucleated along the…

Materials Science · Physics 2018-11-27 M. Jiménez , W. Ludwig , D. Gonzalez , J. M. Molina-Aldareguia

The fracture toughness for a mode I/II crack propagating in a ductile material has been subject to numerous investigations. However, the influence of the material hardening law has received very limited attention, with isotropic hardening…

Materials Science · Physics 2018-12-18 Kristian J. Juul , Emilio Martínez-Pañeda , Kim L. Nielsen , Christian F. Niordson

Fracture involves interaction across large and small length scales. With the application of enough stress or strain to a brittle material, atomistic scale bonds will break, leading to fracture of the macroscopic specimen. From the…

Soft Condensed Matter · Physics 2022-02-04 Debdeep Bhattacharya , Patrick Diehl , Robert P. Lipton

Composite structures must endure a great variety of multi-axial stress states during their lifespan while guaranteeing their structural integrity and functional performance. Understanding the fatigue behavior of these materials, especially…

Applied Physics · Physics 2019-07-25 Yao Qiao , Antonio Alessandro Deleo , Marco Salviato

Large deformations of soft materials are customarily associated with strong constitutive and geometrical nonlinearities that originate new modes of fracture. Some isotropic materials can develop strong fracture anisotropy, which manifests…

Materials Science · Physics 2025-05-27 Miguel Angel Moreno-Mateos , Paul Steinmann

Nonlocal quasistatic fracture evolution for interacting cracks is developed and supporting numerical examples are presented. The approach is implicit and is based on local stationarity and fixed point methods. It is proved that the fracture…

Numerical Analysis · Mathematics 2023-01-18 Debdeep Bhattacharya , Robert Lipton , Patrick Diehl

In this paper we prove the existence of quasistatic evolutions for a cohesive fracture on a prescribed crack surface, in small-strain antiplane elasticity. The main feature of the model is that the density of the energy dissipated in the…

Analysis of PDEs · Mathematics 2018-02-13 Vito Crismale , Giuliano Lazzaroni , Gianluca Orlando
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