Adaptive Analysis of Damage and Fracture in Rock with Multiphysical Fields Coupling

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Publisher : Springer Nature
ISBN 13 : 981157197X
Total Pages : 204 pages
Book Rating : 4.78/5 ( download)

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Book Synopsis Adaptive Analysis of Damage and Fracture in Rock with Multiphysical Fields Coupling by : Yongliang Wang

Download or read book Adaptive Analysis of Damage and Fracture in Rock with Multiphysical Fields Coupling written by Yongliang Wang and published by Springer Nature. This book was released on 2020-08-31 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book mainly focuses on the adaptive analysis of damage and fracture in rock, taking into account multiphysical fields coupling (thermal, hydro, mechanical, and chemical fields). This type of coupling is a crucial aspect in practical engineering for e.g. coal mining, oil and gas exploration, and civil engineering. However, understanding the influencing mechanisms and preventing the disasters resulting from damage and fracture evolution in rocks require high-precision and reliable solutions. This book proposes adaptive numerical algorithms and simulation analysis methods that offer significant advantages in terms of accuracy and reliability. It helps readers understand these innovative methods quickly and easily. The content consists of: (1) a finite element algorithm for modeling the continuum damage evolution in rocks, (2) adaptive finite element analysis for continuum damage evolution and determining the wellbore stability of transversely isotropic rock, (3) an adaptive finite element algorithm for damage detection in non-uniform Euler–Bernoulli beams with multiple cracks, using natural frequencies, (4) adaptive finite element–discrete element analysis for determining multistage hydrofracturing in naturally fractured reservoirs, (5) adaptive finite element–discrete element analysis for multistage supercritical CO2 fracturing and microseismic modeling, and (6) an adaptive finite element–discrete element–finite volume algorithm for 3D multiscale propagation of hydraulic fracture networks, taking into account hydro-mechanical coupling. Given its scope, the book offers a valuable reference guide for researchers, postgraduates and undergraduates majoring in engineering mechanics, mining engineering, geotechnical engineering, and geological engineering.

Adaptive Analysis of Damage and Fracture in Rock with Multiphysical Fields Coupling

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Publisher :
ISBN 13 : 9787030633088
Total Pages : 213 pages
Book Rating : 4.83/5 ( download)

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Book Synopsis Adaptive Analysis of Damage and Fracture in Rock with Multiphysical Fields Coupling by : 王永亮

Download or read book Adaptive Analysis of Damage and Fracture in Rock with Multiphysical Fields Coupling written by 王永亮 and published by . This book was released on 2020 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Approximation of Free-Discontinuity Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540647713
Total Pages : 176 pages
Book Rating : 4.16/5 ( download)

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Book Synopsis Approximation of Free-Discontinuity Problems by : Andrea Braides

Download or read book Approximation of Free-Discontinuity Problems written by Andrea Braides and published by Springer Science & Business Media. This book was released on 1998-09-17 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and researchers in calculus of variations, interested in approximation problems with possible applications.

Peridynamic Differential Operator for Numerical Analysis

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Publisher : Springer
ISBN 13 : 3030026477
Total Pages : 287 pages
Book Rating : 4.79/5 ( download)

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Book Synopsis Peridynamic Differential Operator for Numerical Analysis by : Erdogan Madenci

Download or read book Peridynamic Differential Operator for Numerical Analysis written by Erdogan Madenci and published by Springer. This book was released on 2019-01-17 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the peridynamic (PD) differential operator, which enables the nonlocal form of local differentiation. PD is a bridge between differentiation and integration. It provides the computational solution of complex field equations and evaluation of derivatives of smooth or scattered data in the presence of discontinuities. PD also serves as a natural filter to smooth noisy data and to recover missing data. This book starts with an overview of the PD concept, the derivation of the PD differential operator, its numerical implementation for the spatial and temporal derivatives, and the description of sources of error. The applications concern interpolation, regression, and smoothing of data, solutions to nonlinear ordinary differential equations, single- and multi-field partial differential equations and integro-differential equations. It describes the derivation of the weak form of PD Poisson’s and Navier’s equations for direct imposition of essential and natural boundary conditions. It also presents an alternative approach for the PD differential operator based on the least squares minimization. Peridynamic Differential Operator for Numerical Analysis is suitable for both advanced-level student and researchers, demonstrating how to construct solutions to all of the applications. Provided as supplementary material, solution algorithms for a set of selected applications are available for more details in the numerical implementation.

Peridynamic Modeling, Numerical Techniques, and Applications

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Publisher : Elsevier
ISBN 13 : 0128200693
Total Pages : 460 pages
Book Rating : 4.98/5 ( download)

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Book Synopsis Peridynamic Modeling, Numerical Techniques, and Applications by : Erkan Oterkus

Download or read book Peridynamic Modeling, Numerical Techniques, and Applications written by Erkan Oterkus and published by Elsevier. This book was released on 2021-04-29 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers with an incisive look at cutting-edge peridynamic modeling methods, numerical techniques, their applications, and potential future directions for the field. It starts with an introductory chapter authored by Stewart Silling, who originally developed peridynamics. It then looks at new concepts in the field, with chapters covering dual-horizon peridynamics, peridynamics for axisymmetric analysis, beam and plate models in peridynamics, coupled peridynamics and XFEM, peridynamics for dynamic fracture modeling, and more. From there, it segues into coverage of cutting-edge applications of peridynamics, exploring its biological applications, modeling at the nanoscale, peridynamics for composites delamination and damage in ceramics, and more, concluding with a chapter on the application of artificial intelligence and machine learning in peridynamics. Covers modeling methods, numerical techniques, applications, and future directions for the field Discusses techniques such as dual-horizon peridynamics, damage modeling using the phase-field approach, and contact analysis of rigid and deformable bodies with refined non-ordinary state-based peridynamics Looks at a range of different peridynamic applications such as ice modeling, fiber-reinforced composite modeling, modeling at nanoscale, and more

Rock Characterization, Testing & Monitoring

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Publisher : Pergamon
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.76/5 ( download)

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Book Synopsis Rock Characterization, Testing & Monitoring by : Edwin T. Brown

Download or read book Rock Characterization, Testing & Monitoring written by Edwin T. Brown and published by Pergamon. This book was released on 1981 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Variational Approach to Fracture

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Publisher : Springer Science & Business Media
ISBN 13 : 1402063954
Total Pages : 173 pages
Book Rating : 4.54/5 ( download)

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Book Synopsis The Variational Approach to Fracture by : Blaise Bourdin

Download or read book The Variational Approach to Fracture written by Blaise Bourdin and published by Springer Science & Business Media. This book was released on 2008-04-19 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting original results from both theoretical and numerical viewpoints, this text offers a detailed discussion of the variational approach to brittle fracture. This approach views crack growth as the result of a competition between bulk and surface energy, treating crack evolution from its initiation all the way to the failure of a sample. The authors model crack initiation, crack path, and crack extension for arbitrary geometries and loads.

Extended Finite Element Method

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Publisher : John Wiley & Sons
ISBN 13 : 1118457684
Total Pages : 600 pages
Book Rating : 4.89/5 ( download)

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Book Synopsis Extended Finite Element Method by : Amir R. Khoei

Download or read book Extended Finite Element Method written by Amir R. Khoei and published by John Wiley & Sons. This book was released on 2015-02-23 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples

Computational Geomechanics

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Publisher : John Wiley & Sons
ISBN 13 : 1118350472
Total Pages : 500 pages
Book Rating : 4.78/5 ( download)

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Book Synopsis Computational Geomechanics by : Andrew H. C. Chan

Download or read book Computational Geomechanics written by Andrew H. C. Chan and published by John Wiley & Sons. This book was released on 2022-04-04 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: COMPUTATIONAL GEOMECHANICS The new edition of the first book to cover the computational dynamic aspects of geomechanics, now including more practical applications and up-to-date coverage of current research in the field Advances in computational geomechanics have dramatically improved understanding of the behavior of soils and the ability of engineers to design increasingly sophisticated constructions in the ground. When Professor Olek Zienkiewicz began the application of numerical approaches to solid dynamics at Swansea University, it became evident that realistic prediction of the behavior of soil masses could only be achieved if the total stress approaches were abandoned. Computational Geomechanics introduces the theory and application of Zienkiewicz’s computational approaches that remain the basis for work in the area of saturated and unsaturated soil to this day. Written by past students and colleagues of Professor Zienkiewicz, this extended Second Edition provides formulations for a broader range of problems, including failure load under static loading, saturated and unsaturated consolidation, hydraulic fracturing, and liquefaction of soil under earthquake loading. The internationally-recognized team of authors incorporates current computer technologies and new developments in the field, particularly in the area of partial saturation, as they guide readers on how to properly apply the formulation in their work. This one-of-a-kind volume: Explains the Biot-Zienkiewicz formulation for saturated and unsaturated soil Covers multiple applications to static and dynamic problems for saturated and unsaturated soil in areas such as earthquake engineering and fracturing of soils and rocks Features a completely new chapter on fast catastrophic landslides using depth integrated equations and smoothed particle hydrodynamics with applications Presents the theory of porous media in the saturated and unsaturated states to establish the foundation of the problem of soil mechanics Provides a quantitative description of soil behavior including simple plasticity models, generalized plasticity, and critical state soil mechanics Includes numerous questions, problems, hands-on experiments, applications to other situations, and example code for GeHoMadrid Computational Geomechanics: Theory and Applications, Second Edition is an ideal textbook for specialist and general geotechnical postgraduate courses, and a must-have reference for researchers in geomechanics and geotechnical engineering, for software developers and users of geotechnical finite element software, and for geotechnical analysts and engineers making use of the numerical results obtained from the Biot-Zienkiewicz formulation.

Computational Methods for Fracture

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Author :
Publisher : MDPI
ISBN 13 : 3039216864
Total Pages : 406 pages
Book Rating : 4.64/5 ( download)

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Book Synopsis Computational Methods for Fracture by : Timon Rabczuk

Download or read book Computational Methods for Fracture written by Timon Rabczuk and published by MDPI. This book was released on 2019-10-28 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a collection of 17 scientific papers about the computational modeling of fracture. Some of the manuscripts propose new computational methods and/or how to improve existing cutting edge methods for fracture. These contributions can be classified into two categories: 1. Methods which treat the crack as strong discontinuity such as peridynamics, scaled boundary elements or specific versions of the smoothed finite element methods applied to fracture and 2. Continuous approaches to fracture based on, for instance, phase field models or continuum damage mechanics. On the other hand, the book also offers a wide range of applications where state-of-the-art techniques are employed to solve challenging engineering problems such as fractures in rock, glass, concrete. Also, larger systems such as fracture in subway stations due to fire, arch dams, or concrete decks are studied.