Peridynamic Theory And Its Applications

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Peridynamic Theory and Its Applications

Author : Erdogan Madenci
Publisher : Springer Science & Business Media
ISBN 13 : 1461484650
Total Pages : 297 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Peridynamic Theory and Its Applications by : Erdogan Madenci

Download or read book Peridynamic Theory and Its Applications written by Erdogan Madenci and published by Springer Science & Business Media. This book was released on 2013-10-21 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the peridynamic theory, which provides the capability for improved modeling of progressive failure in materials and structures, and paves the way for addressing multi-physics and multi-scale problems. The book provides students and researchers with a theoretical and practical knowledge of the peridynamic theory and the skills required to analyze engineering problems. The text may be used in courses such as Multi-physics and Multi-scale Analysis, Nonlocal Computational Mechanics, and Computational Damage Prediction. Sample algorithms for the solution of benchmark problems are available so that the reader can modify these algorithms, and develop their own solution algorithms for specific problems. Students and researchers will find this book an essential and invaluable reference on the topic.

Peridynamics and Its Applications Using Ansys

Author : Erdogan Madenci
Publisher : Springer
ISBN 13 : 9783031598951
Total Pages : 0 pages
Book Rating : 4.5/5 (989 download)

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Book Synopsis Peridynamics and Its Applications Using Ansys by : Erdogan Madenci

Download or read book Peridynamics and Its Applications Using Ansys written by Erdogan Madenci and published by Springer. This book was released on 2024-07-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a unified implementation of bond- and state-based peridynamic theory (PD) within a commercial finite element framework, Ansys, utilizing its native elements. It details the implementation of the PD theory and its integration with traditional finite elements. The primary objective is to equip students, researchers, and practicing engineers with both theoretical and practical knowledge of the PD theory, along with the skills necessary for analyzing engineering problems using Ansys. The book demonstrates that, unlike the conventional finite element method (FEM), the PD theory is highly suitable for progressive failure analysis, the multi-scale analysis of materials involving fracture and failure, and multi-physics analysis, including electromigration, corrosion, and electrodeposition. Additionally, it provides a step-by-step illustration of the specific procedures in the pre-processing, solution, and post-processing phases of the analysis through the Graphical User Interface (GUI) for various applications. The book is designed to be introductory and self-contained, minimizing the need for additional reference material.

Peridynamic Differential Operator for Numerical Analysis

Author : Erdogan Madenci
Publisher : Springer
ISBN 13 : 3030026477
Total Pages : 287 pages
Book Rating : 4.0/5 (3 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

Author : Erkan Oterkus
Publisher : Elsevier
ISBN 13 : 0128200693
Total Pages : 460 pages
Book Rating : 4.1/5 (282 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

Peridynamic Modeling, Numerical Techniques, and Applications

Author : Erkan Oterkus
Publisher : Elsevier
ISBN 13 : 0128204419
Total Pages : 462 pages
Book Rating : 4.1/5 (282 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 2021-04-24 with total page 462 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

Peridynamics and Its Applications Using Ansys

Author : Erdogan Madenci
Publisher : Springer Nature
ISBN 13 : 3031598962
Total Pages : 498 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Peridynamics and Its Applications Using Ansys by : Erdogan Madenci

Download or read book Peridynamics and Its Applications Using Ansys written by Erdogan Madenci and published by Springer Nature. This book was released on with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Peridynamic Modeling

Author : Florin Bobaru
Publisher : CRC Press
ISBN 13 : 1315355949
Total Pages : 646 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Handbook of Peridynamic Modeling by : Florin Bobaru

Download or read book Handbook of Peridynamic Modeling written by Florin Bobaru and published by CRC Press. This book was released on 2016-11-03 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook covers the peridynamic modeling of failure and damage. Peridynamics is a reformulation of continuum mechanics based on integration of interactions rather than spatial differentiation of displacements. The book extends the classical theory of continuum mechanics to allow unguided modeling of crack propagation/fracture in brittle, quasi-brittle, and ductile materials; autonomous transition from continuous damage/fragmentation to fracture; modeling of long-range forces within a continuous body; and multiscale coupling in a consistent mathematical framework.

Advances in Peridynamics

Author : Erdogan Madenci
Publisher : Springer Nature
ISBN 13 : 3030978583
Total Pages : 433 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Advances in Peridynamics by : Erdogan Madenci

Download or read book Advances in Peridynamics written by Erdogan Madenci and published by Springer Nature. This book was released on 2022-05-20 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent improvements in peridynamic modeling of structures. It provides sufficient theory and numerical implementation helpful to both new and existing researchers in the field. The main focus of the book is on the non-ordinary state-based (NOSB) peridynamics (PD) and its applications for performing finite deformation. It presents the framework for modeling high stretch polymers, viscoelastic materials, thermoelasticity, plasticity, and creep. It provides a systematic derivation for dimensionally reduced structures such as axisymmetric structures and beams. Also, it presents a novel approach to impose boundary conditions without suffering from displacement kinks near the boundary. Furthermore, it presents refinements to bond-based PD model by including rotation kinematics for modeling isotropic and composite materials. Moreover, it presents a PD – FEM coupling framework in ANSYS based on principle for virtual work. Lastly, it presents an application of neural networks in the peridynamic (PINN) framework. Sample codes are provided for readers to develop hands-on experience on peridynamic modeling. Describes new developments in peridynamics and their applications in the presence of material and geometric nonlinearity; Describes an approach to seamlessly couple PD with FE; Introduces the use of the neural network in the PD framework to solve engineering problems; Provides theory and numerical examples for researchers and students to self-study and apply in their research (Codes are provided as supplementary material); Provides theoretical development and numerical examples suitable for graduate courses.

Computational Methods Based on Peridynamics and Nonlocal Operators

Author : Timon Rabczuk
Publisher : Springer Nature
ISBN 13 : 3031209060
Total Pages : 327 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Computational Methods Based on Peridynamics and Nonlocal Operators by : Timon Rabczuk

Download or read book Computational Methods Based on Peridynamics and Nonlocal Operators written by Timon Rabczuk and published by Springer Nature. This book was released on 2023-02-15 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of computational methods based on peridynamics and nonlocal operators and their application to challenging numerical problems which are difficult to deal with traditional methods such as the finite element method, material failure being “only” one of them. The authors have also developed a higher-order nonlocal operator approaches capable of solving higher-order partial differential equations on arbitrary domains in higher-dimensional space with ease. This book is of interest to those in academia and industry.

Computational Methods for Fracture

Author : Timon Rabczuk
Publisher : MDPI
ISBN 13 : 3039216864
Total Pages : 406 pages
Book Rating : 4.0/5 (392 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.

Virtual Design and Validation

Author : Peter Wriggers
Publisher : Springer Nature
ISBN 13 : 3030381560
Total Pages : 349 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Virtual Design and Validation by : Peter Wriggers

Download or read book Virtual Design and Validation written by Peter Wriggers and published by Springer Nature. This book was released on 2020-03-03 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the experimental characterization of materials and their numerical modeling, as well as the development of new computational methods for virtual design. Its 17 contributions are divided into four main sections: experiments and virtual design, composites, fractures and fatigue, and uncertainty quantification. The first section explores new experimental methods that can be used to more accurately characterize material behavior. Furthermore, it presents a combined experimental and numerical approach to optimizing the properties of a structure, as well as new developments in the field of computational methods for virtual design. In turn, the second section is dedicated to experimental and numerical investigations of composites, with a special focus on the modeling of failure modes and the optimization of these materials. Since fatigue also includes wear due to frictional contact and aging of elastomers, new numerical schemes in the field of crack modeling and fatigue prediction are also discussed. The input parameters of a classical numerical simulation represent mean values of actual observations, though certain deviations arise: to illustrate the uncertainties of parameters used in calculations, the book’s final section presents new and efficient approaches to uncertainty quantification.

Numerical Modelling of Failure in Advanced Composite Materials

Author : Pedro P. Camanho
Publisher : Woodhead Publishing
ISBN 13 : 0081003420
Total Pages : 562 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Numerical Modelling of Failure in Advanced Composite Materials by : Pedro P. Camanho

Download or read book Numerical Modelling of Failure in Advanced Composite Materials written by Pedro P. Camanho and published by Woodhead Publishing. This book was released on 2015-08-07 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Modelling of Failure in Advanced Composite Materials comprehensively examines the most recent analysis techniques for advanced composite materials. Advanced composite materials are becoming increasingly important for lightweight design in aerospace, wind energy, and mechanical and civil engineering. Essential for exploiting their potential is the ability to reliably predict their mechanical behaviour, particularly the onset and propagation of failure. Part One investigates numerical modeling approaches to interlaminar failure in advanced composite materials. Part Two considers numerical modelling approaches to intralaminar failure. Part Three presents new and emerging advanced numerical algorithms for modeling and simulation of failure. Part Four closes by examining the various engineering and scientific applications of numerical modeling for analysis of failure in advanced composite materials, such as prediction of impact damage, failure in textile composites, and fracture behavior in through-thickness reinforced laminates. - Examines the most recent analysis models for advanced composite materials in a coherent and comprehensive manner - Investigates numerical modelling approaches to interlaminar failure and intralaminar failure in advanced composite materials - Reviews advanced numerical algorithms for modeling and simulation of failure - Examines various engineering and scientific applications of numerical modelling for analysis of failure in advanced composite materials

Fracture and Fatigue Assessments of Structural Components

Author : Alberto Campagnolo
Publisher : MDPI
ISBN 13 : 3039437291
Total Pages : 186 pages
Book Rating : 4.0/5 (394 download)

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Book Synopsis Fracture and Fatigue Assessments of Structural Components by : Alberto Campagnolo

Download or read book Fracture and Fatigue Assessments of Structural Components written by Alberto Campagnolo and published by MDPI. This book was released on 2020-12-04 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: In dealing with fracture and fatigue assessments of structural components, different approaches have been proposed in the literature. They are usually divided into three subgroups according to stress-based, strain-based, and energy-based criteria. Typical applications include both linear elastic and elastoplastic materials and plain and notched or cracked components under both static and fatigue loadings. The aim of this Special Issue is to provide an update to the state-of-the-art on these approaches. The topics addressed in this Special Issue are applications from nano- to full-scale complex and real structures and recent advanced criteria for fracture and fatigue predictions under complex loading conditions, such as multiaxial constant and variable amplitude fatigue loadings.

The Finite Element Method and Applications in Engineering Using ANSYS®

Author : Erdogan Madenci
Publisher : Springer
ISBN 13 : 1489975500
Total Pages : 664 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis The Finite Element Method and Applications in Engineering Using ANSYS® by : Erdogan Madenci

Download or read book The Finite Element Method and Applications in Engineering Using ANSYS® written by Erdogan Madenci and published by Springer. This book was released on 2015-02-10 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers theoretical and practical knowledge of the finite element method. The book equips readers with the skills required to analyze engineering problems using ANSYS®, a commercially available FEA program. Revised and updated, this new edition presents the most current ANSYS® commands and ANSYS® screen shots, as well as modeling steps for each example problem. This self-contained, introductory text minimizes the need for additional reference material by covering both the fundamental topics in finite element methods and advanced topics concerning modeling and analysis. It focuses on the use of ANSYS® through both the Graphics User Interface (GUI) and the ANSYS® Parametric Design Language (APDL). Extensive examples from a range of engineering disciplines are presented in a straightforward, step-by-step fashion. Key topics include: • An introduction to FEM • Fundamentals and analysis capabilities of ANSYS® • Fundamentals of discretization and approximation functions • Modeling techniques and mesh generation in ANSYS® • Weighted residuals and minimum potential energy • Development of macro files • Linear structural analysis • Heat transfer and moisture diffusion • Nonlinear structural problems • Advanced subjects such as submodeling, substructuring, interaction with external files, and modification of ANSYS®-GUI Electronic supplementary material for using ANSYS® can be found at http://link.springer.com/book/10.1007/978-1-4899-7550-8. This convenient online feature, which includes color figures, screen shots and input files for sample problems, allows for regeneration on the reader’s own computer. Students, researchers, and practitioners alike will find this an essential guide to predicting and simulating the physical behavior of complex engineering systems."

Marine Structures

Author : Erkan Oterkus
Publisher : MDPI
ISBN 13 : 3039281828
Total Pages : 210 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Marine Structures by : Erkan Oterkus

Download or read book Marine Structures written by Erkan Oterkus and published by MDPI. This book was released on 2020-01-31 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structural mechanics is an important field of engineering. The main goal of structural mechanics is to ensure that structures are safe and durable so that catastrophic situations can be prevented, which can otherwise cause loss of life, environmental pollution and financial losses. Depending on the uses of the structure and the conditions that the structure is subjected to, special treatment may be required for the analysis. Specifically, marine structures are subjected to harsh environmental conditions due to the marine environment, which can cause several different damage mechanisms including fatigue and corrosion. This book on “Marine structures” considers a wide range of areas related to marine structures and provides a compilation of numerical and experimental studies related to “Marine structures” research.

Nonlocal Modeling, Analysis, and Computation

Author : Qiang Du
Publisher : SIAM
ISBN 13 : 1611975611
Total Pages : 181 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Nonlocal Modeling, Analysis, and Computation by : Qiang Du

Download or read book Nonlocal Modeling, Analysis, and Computation written by Qiang Du and published by SIAM. This book was released on 2019-03-20 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies of complexity, singularity, and anomaly using nonlocal continuum models are steadily gaining popularity. This monograph provides an introduction to basic analytical, computational, and modeling issues and to some of the latest developments in these areas. Nonlocal Modeling, Analysis, and Computation includes motivational examples of nonlocal models, basic building blocks of nonlocal vector calculus, elements of theory for well-posedness and nonlocal spaces, connections to and coupling with local models, convergence and compatibility of numerical approximations, and various applications, such as nonlocal dynamics of anomalous diffusion and nonlocal peridynamic models of elasticity and fracture mechanics. A particular focus is on nonlocal systems with a finite range of interaction to illustrate their connection to local partial differential equations and fractional PDEs. These models are designed to represent nonlocal interactions explicitly and to remain valid for complex systems involving possible singular solutions and they have the potential to be alternatives for as well as bridges to existing models. The author discusses ongoing studies of nonlocal models to encourage the discovery of new mathematical theory for nonlocal continuum models and offer new perspectives on traditional models, analytical techniques, and algorithms.

Computational and Experimental Simulations in Engineering

Author : Shaofan Li
Publisher : Springer Nature
ISBN 13 : 3031429877
Total Pages : 1435 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Computational and Experimental Simulations in Engineering by : Shaofan Li

Download or read book Computational and Experimental Simulations in Engineering written by Shaofan Li and published by Springer Nature. This book was released on 2023-11-30 with total page 1435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the latest advances, innovations, and applications in the field of computational engineering, as presented by leading international researchers and engineers at the 29th International Conference on Computational & Experimental Engineering and Sciences (ICCES), held in Shenzhen, China on May 26-29, 2023. ICCES covers all aspects of applied sciences and engineering: theoretical, analytical, computational, and experimental studies and solutions of problems in the physical, chemical, biological, mechanical, electrical, and mathematical sciences. As such, the book discusses highly diverse topics, including composites; bioengineering & biomechanics; geotechnical engineering; offshore & arctic engineering; multi-scale & multi-physics fluid engineering; structural integrity & longevity; materials design & simulation; and computer modeling methods in engineering. The contributions, which were selected by means of a rigorous international peer-review process, highlight numerous exciting ideas that will spur novel research directions and foster multidisciplinary collaborations.