Gabriel Hattori

Durham University

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An examination of the size effect in quasi-brittle materials using a bond-based peridynamic model

Mark Hobbs Tim Dodwell Gabriel Hattori John Orr

This paper examines the size effect in quasi-brittle materials using a three-dimensional bond-based peridynamic model. This is the first time that the capability of a peridynamic model to capture the size effect in quasi-brittle materials has been examined. Correctly reproducing the size effect is an essential check on the validity of any computational model and it is demonstrated that a bond-based peridynamic model can accurately capture the failure stress of geometrically identical structures over a range of sizes. A systematic examination of geometrically similar notched and unnotched beams provides new insights into the predictive capabilities of the model, and mode I and mixed-mode problems are considered to examine the generality of the model. The model is validated using published experimental data, and the predictive accuracy is equivalent, if not superior, to well-established numerical methods whilst offering several benefits that justify further research and development. This study provides evidence that the length scale in a peridynamic model is a numerical parameter and not a material property.

Brittleness

Generality

Peridynamics

10.31224/osf.io/u6vnc

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Citations (1)

Discontinuous isogeometric boundary element (IGABEM) formulations in 3D automotive acoustics

Engineering Analysis with Boundary Elements (2019)

Yi Sun J. Trevelyan Gabriel Hattori Chihua Lu

Isogeometric analysis

Classification of discontinuities

Collocation (remote sensing)

Basis function

10.1016/j.enganabound.2019.04.011

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Citations (25)

Enriched BEM for fracture in anisotropic materials

Gabriel Hattori Andrés Sáez J. Trevelyan Felipe García-Sánchez

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El Método de los Elementos Finitos Extendidos (X-FEM) para Medios Bidimensionales Fisurados Totalmente Anisótropos

Gabriel Hattori R. Rojas‐Díaz Andrés Sáez Felipe García-Sánchez Naveen Sukumar

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An implicit non-ordinary state-based peridynamics with stabilised correspondence material model for finite deformation analysis

Computer Methods in Applied Mechanics and Engineering (2020)

Nur A. Hashim William M. Coombs Charles E. Augarde Gabriel Hattori

Peridynamics

10.1016/j.cma.2020.113304

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Citations (19)

A Review on the Developments of Peridynamics for Reinforced Concrete Structures

Archives of Computational Methods in Engineering (2021)

Gabriel Hattori Mark Hobbs John Orr

Abstract Concrete is the most widely used man made material in the world. Reinforced with steel, it forms a key enabler behind our rapidly urbanising built environment. Yet despite its ubiquity, the failure behaviour of the material in shear is still not well understood. Many different shear models have been proposed over the years, often validated against sets of physical tests, but none of these has yet been shown to be sufficiently general to account for the behaviour of all possible types and geometries of reinforced concrete structures. A key barrier to a general model is that concrete must crack in tension, and in shear such cracks form rapidly to create brittle failure. Peridynamics (PD) is a non-local theory where the continuum mechanics equilibrium equation is reformulated in an integral form, thereby permitting discontinuities to arise naturally from the formulation. On the one hand, this offers the potential to provide a general concrete model. On the other hand, PD models for concrete structures have not focussed on applications with reinforcement. Moreover, a robust model validation that assesses the strengths and weakness of a given model is missing. The objectives of this paper are twofold: (1) to evaluate the benchmark tests involving shear failure for RC structures; and (2) to review the most recent PD theory and its application for reinforced concrete (RC) structures. We investigate these models in detail and propose benchmark tests that a PD model should be able to simulate accurately.

Peridynamics

Classification of discontinuities

Brittleness

Benchmark (surveying)

10.1007/s11831-021-09549-y

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Citations (24)

A couple-stress formulation for the isogeometric boundary element method (IGABEM)

Gabriel Hattori P.A. Gourgiotis J. Trevelyan

Isogeometric analysis

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Citations (0)

An extended boundary element method formulation for the direct calculation of the stress intensity factors in fully anisotropic materials

International Journal for Numerical Methods in Engineering (2016)

Gabriel Hattori Ibrahim Alatawi J. Trevelyan

Summary We propose a formulation for linear elastic fracture mechanics in which the stress intensity factors are found directly from the solution vector of an extended boundary element method formulation. The enrichment is embedded in the boundary element method formulation, rather than adding new degrees of freedom for each enriched node. Therefore, a very limited number of new degrees of freedom is added to the problem, which contributes to preserving the conditioning of the linear system of equations. The Stroh formalism is used to provide boundary element method fundamental solutions for any degree of anisotropy, and these are used for both conventional and enriched degrees of freedom. Several numerical examples are shown with benchmark solutions to validate the proposed method. Copyright © 2016 John Wiley & Sons, Ltd.

Formalism (music)

Linear elasticity

10.1002/nme.5311

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Citations (19)

Enhanced BEM enrichment for wave scattering problems

B. Gilvey J. Trevelyan Gabriel Hattori

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Citations (0)

A non-ordinary state-based peridynamics implementation for anisotropic materials

University of Birmingham eBooks (2017)

Gabriel Hattori J. Trevelyan

Peridynamics

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Citations (0)