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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

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

Bone adapts in response to its mechanical environment. This evolution of bone density is one of the most important mechanisms for developing fracture resistance. A finite element framework for simulating bone adaptation, commonly called…

Computational Engineering, Finance, and Science · Computer Science 2020-01-06 Karol Lewandowski , Łukasz Kaczmarczyk , Ignatios Athanasiadis , John F. Marshall , Chris J. Pearce

Guided by recent advances in the understanding of nucleation and propagation of fracture in elastic brittle materials, this paper proposes a suite of three simple experiments that permit the measurement of the three macroscopic material…

Soft Condensed Matter · Physics 2026-05-13 Subhrangsu Saha , Bruce J. Moore , Ben Manaugh , Jeffery R. Roesler , Oscar Lopez-Pamies

We address a three-dimensional model capable of describing coupled damage and plastic effects in solids at finite strains. Formulated within the variational setting of {\it generalized standard materials}, the constitutive model results…

Analysis of PDEs · Mathematics 2020-12-30 David Melching , Michael Neunteufel , Joachim Schöberl , Ulisse Stefanelli

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 model has been developed which simulates the deformation of single crystal austenitic stainless steels and cap-tures the effects of hydrogen on stress corrosion cracking. The model is based on the crystal plasticity theory which relates…

Materials Science · Physics 2019-10-21 E. I. Ogosi , U. B. Asim , M. A. Siddiq , M. E. Kartal

We study the fatigue fracture of disordered materials by means of computer simulations of a discrete element model. We extend a two-dimensional fracture model to capture the microscopic mechanisms relevant for fatigue, and we simulate the…

Disordered Systems and Neural Networks · Physics 2009-11-11 H. A. Carmona , F. Kun , J. S. Andrade , H. J. Herrmann

A novel numerical approach to analyze the mechanical behavior within composite materials including the inelastic regime up to final failure is presented. Therefore, a second-gradient theory is combined with phase-field methods to fracture.…

Computational Engineering, Finance, and Science · Computer Science 2021-04-20 Maik Dittman , Jonathan Schult , Felix Schmidt , Christian Hesch

A variational modeling framework for hydraulically induced fracturing of elastic-plastic solids is developed in the present work. The developed variational structure provides a global minimization problem. While fracture propagation is…

Numerical Analysis · Mathematics 2025-04-11 Daniel Kienle , Marc-Andre Keip

A mix-mode cohesive fracture model considering tension, compression and shear material behaviour is presented, which has wide applications to geotechnical problems. The model considers both elastic and inelastic displacements. Inelastic…

Computational Engineering, Finance, and Science · Computer Science 2015-01-19 Yilin Gui , Ha H. Bui , Jayantha Kodikara

A field theory is presented for predicting damage and fracture in quasi-brittle materials. The approach taken here is new and blends a non-local constitutive law with a two-point phase field. In this formulation, the material displacement…

Materials Science · Physics 2025-10-07 Semsi Coskun , Davood Damircheli , Robert Lipton

The quasistatic, Prandtl-Reuss perfect plasticity at small strains is combined with a gradient, reversible (i.e. admitting healing) damage which influences both the elastic moduli and the yield stress. Existence of weak solutions of the…

Numerical Analysis · Mathematics 2015-05-06 Tomáš Roubíček , Jan Valdman

A constitutive model based on the combination of damage mechanics and plasticity is developed to analyse the failure of concrete structures. The aim is to obtain a model, which describes the important characteristics of the failure process…

Materials Science · Physics 2013-07-29 Peter Grassl , Dimitrios Xenos , Ulrika Nystrom , Rasmus Rempling , Kent Gylltoft

An indentation experiment involves five variables: indenter shape, material behavior of the substrate, contact size, applied load and indentation depth. Only three variable are known afterwards, namely, indenter shape, plus load and depth…

Materials Science · Physics 2016-06-09 P. G. Th. van der Varst , A. A. F. van de Ven , G. de With

The precise mechanisms underlying the failure of multi-phase materials may be strongly dependent on the material's microstructural morphology. Micromechanical modeling has provided much insight into this dependence, but uncertainties remain…

Materials Science · Physics 2016-04-14 T. W. J. de Geus , R. H. J. Peerlings , M. G. D. Geers

We study the crushing strength of brittle materials whose internal structure (e.g., mineral particles or graining) presents a layered arrangement reminiscent of sedimentary and metamorphic rocks. Taking a discrete-element approach, we probe…

Soft Condensed Matter · Physics 2021-03-09 David Cantor , Carlos Ovalle , Emilien Azéma

Variational phase-field models of brittle fracture are powerful tools for studying Griffith-type crack propagation in complex scenarios. However, as approximations of Griffith's theory-which does not incorporate a strength criterion-these…

Applied Physics · Physics 2026-01-06 Francesco Vicentini , Jonas Heinzmann , Pietro Carrara , Laura De Lorenzis

Local translational and scaling symmetries in space-time is exploited for modelling ductile damage in metals and alloys over wide ranges of strain rate and temperature. The invariant energy density corresponding to the ductile deformation…

Materials Science · Physics 2024-03-18 Sanjeev Kumar

Damage gradient models approximate fracture mechanics using a modulation of the material stiffness. To this aim a single scalar field, the damage, is used to degrade as a whole the elastic energy. If applied to the structural models of…

Classical Physics · Physics 2022-11-30 Giovanni Corsi , Antonino Favata , Stefano Vidoli