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We present a gradient-based theoretical framework for predicting hydrogen assisted fracture in elastic-plastic solids. The novelty of the model lies in the combination of: (i) stress-assisted diffusion of solute species, (ii) strain…

Materials Science · Physics 2020-07-15 Philip K. Kristensen , Christian F. Niordson , Emilio Martínez-Pañeda

A new gradient-based formulation for predicting fracture in elastic-plastic solids is presented. Damage is captured by means of a phase field model that considers both the elastic and plastic works as driving forces for fracture. Material…

Computational Engineering, Finance, and Science · Computer Science 2021-08-12 S. S. Shishvan , S. Assadpour-asl , E. Martínez-Pañeda

In this work, distortion gradient plasticity is used to gain insight into material deformation ahead of a crack tip. This also constitutes the first fracture mechanics analysis of gradient plasticity theories adopting Nye's tensor as primal…

Materials Science · Physics 2020-08-11 S. Fuentes-Alonso , E. Martínez-Pañeda

Recent progress in nanotechnology enables us to utilize the elastic strain engineering, the emerging technology capable of controlling the physio-chemical properties of materials via externally-imposed elastic strains, for hard materials.…

Materials Science · Physics 2018-11-13 Dahye Shin , Dongchan Jang

The fracture strength distribution of materials is often described in terms of the Weibull law which can be derived by using extreme value statistics if elastic interactions are ignored. Here, we consider explicitly the interplay between…

Statistical Mechanics · Physics 2014-10-16 Zsolt Bertalan , Ashivni Shekhawat , James P. Sethna , Stefano Zapperi

Femtosecond laser written patterns at the surface of brittle materials may show a regenerative random transition from self-organized to disordered structures. Here, we show that this random intermittent behaviour carries relevant fracture…

Materials Science · Physics 2017-11-15 Christos-Edward Athanasiou , Max-Olivier Hongler , Yves Bellouard

In this study, we address damage initiation and micro-crack formation in ductile failure of polycrystalline metals. We show how our recently published thermodynamic framework for ductile phase-field fracture of single crystals can be…

Numerical Analysis · Mathematics 2024-11-01 Kim Louisa Auth , Jim Brouzoulis , Magnus Ekh

This study addresses ductile fracture of single grains in metals by modeling of the formation and propagation of transgranular cracks. A proposed model integrates gradient extended hardening, phase-field modeling for fracture, and crystal…

Numerical Analysis · Mathematics 2024-11-01 Kim Louisa Auth , Jim Brouzoulis , Magnus Ekh

Molecular-dynamics simulations of fracture in metallic glass-like systems are observed to undergo embrittlement due to a small change in interatomic potential. This change in fracture toughness, however, is not accompanied by a…

Materials Science · Physics 2009-10-31 M. L. Falk

A constitutive model is presented for brittle granular materials based on a recent reformulation of the breakage mechanics theory. Compared with previous breakage mechanics-based models, the proposed model is improved to capture strain…

Soft Condensed Matter · Physics 2019-02-21 M. B. Cil , R. C. Hurley , L. Graham-Brady

We consider a linearly elastic body consisting of two equal symmetrically arranged layers (or half-planes) connected by a structured interface as a prospective crack path. The interface is comprised by periodic discrete system of bonds. In…

Classical Physics · Physics 2014-03-05 Gennady S. Mishuris , Leonid I. Slepyan

This paper presents a computational framework for quasi-static brittle fracture in three dimensional solids. The paper set outs the theoretical basis for determining the initiation and direction of propagating cracks based on the concept of…

Computational Physics · Physics 2013-12-02 Lukasz Kaczmarczyk , Mohaddeseh Mousavi Nezhad , Chris Pearce

We investigate the fracture behavior of pre-cracked triangular beam-lattices whose elements have failure stresses drawn from a Weibull distribution. Through a statistical analysis and numerical simulations, we identify and verify the…

Crack advance from short or long pre-cracks is predicted by the progressive failure of a cohesive zone in a strain gradient, elasto-plastic solid. The presence of strain gradients leads to the existence of an elastic zone at the tip of a…

Micron-scale single crystalline materials deform plastically via large intermittent strain bursts that make the deformation process unpredictable. Here we investigate this stochastic phenomenon by analysing the plastic response of an…

Despite advances in manufacturing making metal functionally graded materials (FGMs) more common, numerical methods for predicting fracture in ductile functionally graded materials remain limited. In this work we study the crack propagation…

Materials Science · Physics 2024-12-17 Katherine Piper , Vinamra Agrawal

In brittle fracture applications, failure paths, regions where the failure occurs and damage statistics, are some of the key quantities of interest (QoI). High-fidelity models for brittle failure that accurately predict these QoI exist but…

Computational Engineering, Finance, and Science · Computer Science 2018-08-01 M. K. Mudunuru , N. Panda , S. Karra , G. Srinivasan , V. T. Chau , E. Rougier , A. Hunter , H. S. Viswanathan

A continuum model of fracture that describes, in principle, the propagation and interaction of arbitrary distributions of cracks and voids with evolving topology without a fracture criterion is developed. It involves a 'law of motion' for…

Materials Science · Physics 2020-04-22 Amit Acharya

Understanding the mechanical behaviour of bones up to failure is necesary for diagnosis and prevention of accident and trauma. As far as we know, no authors have yet studied the tensile behaviour of compact bone including failure under…

Classical Physics · Physics 2007-05-23 Martine Pithioux , D. Subit , P. Chabrand

In this work a general framework for damage and fracture assessment including the effect of strain gradients is provided. Both mechanism-based and phenomenological strain gradient plasticity (SGP) theories are implemented numerically using…

Materials Science · Physics 2017-11-06 Emilio Martínez-Pañeda , Christian F. Niordson
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