Peridynamic Modeling Numerical Techniques and Applications

Peridynamic Modeling  Numerical Techniques  and Applications
Author: Erkan Oterkus,Selda Oterkus,Erdogan Madenci
Publsiher: Elsevier
Total Pages: 462
Release: 2021-04-24
ISBN: 0128204419
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Peridynamic Modeling Numerical Techniques and Applications 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

Peridynamic Modeling  Numerical Techniques  and Applications
Author: Erkan Oterkus,Erdogan Madenci
Publsiher: Elsevier
Total Pages: 460
Release: 2021-04-29
ISBN: 0128200693
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Peridynamic Modeling Numerical Techniques and Applications 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

Advances in Peridynamics

Advances in Peridynamics
Author: Erdogan Madenci,Pranesh Roy,Deepak Behera
Publsiher: Springer Nature
Total Pages: 433
Release: 2022-05-20
ISBN: 3030978583
Category: Science
Language: EN, FR, DE, ES & NL

Advances in Peridynamics 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.

Handbook of Peridynamic Modeling

Handbook of Peridynamic Modeling
Author: Florin Bobaru,John T. Foster,Philippe H Geubelle,Stewart A. Silling
Publsiher: CRC Press
Total Pages: 540
Release: 2016-11-03
ISBN: 1315355949
Category: Mathematics
Language: EN, FR, DE, ES & NL

Handbook of Peridynamic Modeling 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.

Nonlocal Modeling Analysis and Computation

Nonlocal Modeling  Analysis  and Computation
Author: Qiang Du
Publsiher: SIAM
Total Pages: 168
Release: 2019-03-20
ISBN: 161197562X
Category: Science
Language: EN, FR, DE, ES & NL

Nonlocal Modeling Analysis and Computation 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.

Advances in Applied Mechanics

Advances in Applied Mechanics
Author: Anonim
Publsiher: Academic Press
Total Pages: 318
Release: 2010-11-03
ISBN: 9780123808790
Category: Science
Language: EN, FR, DE, ES & NL

Advances in Applied Mechanics Book Excerpt:

The Advances in Applied Mechanics book series draws together recent significant advances in various topics in applied mechanics. Published since 1948, Advances in Applied Mechanics aims to provide authoritative review articles on topics in the mechanical sciences, primarily of interest to scientists and engineers working in the various branches of mechanics. This content is also relevant to the many who use the results of investigations in mechanics in various application areas, such as aerospace, chemical, civil, environmental, mechanical and nuclear engineering. Covers all fields of the mechanical sciences Highlights classical and modern areas of mechanics that are prime for review Provides comprehensive coverage of applied mechanics for scientists and engineers as well as those in various application areas

Current Trends and Open Problems in Computational Mechanics

Current Trends and Open Problems in Computational Mechanics
Author: Fadi Aldakheel
Publsiher: Springer Nature
Total Pages: 587
Release: 2022
ISBN: 3030873129
Category: Mathematics--Data processing
Language: EN, FR, DE, ES & NL

Current Trends and Open Problems in Computational Mechanics Book Excerpt:

This Festschrift is dedicated to Professor Dr.-Ing. habil. Peter Wriggers on the occasion of his 70th birthday. Thanks to his high dedication to research, over the years Peter Wriggers has built an international network with renowned experts in the field of computational mechanics. This is proven by the large number of contributions from friends and collaborators as well as former PhD students from all over the world. The diversity of Peter Wriggers network is mirrored by the range of topics that are covered by this book. To name only a few, these include contact mechanics, finite & virtual element technologies, micromechanics, multiscale approaches, fracture mechanics, isogeometric analysis, stochastic methods, meshfree and particle methods. Applications of numerical simulation to specific problems, e.g. Biomechanics and Additive Manufacturing is also covered. The volume intends to present an overview of the state of the art and current trends in computational mechanics for academia and industry.

Structural Nonlinear Dynamics and Diagnosis

Structural Nonlinear Dynamics and Diagnosis
Author: Mohamed Belhaq
Publsiher: Springer
Total Pages: 509
Release: 2015-08-13
ISBN: 3319198513
Category: Science
Language: EN, FR, DE, ES & NL

Structural Nonlinear Dynamics and Diagnosis Book Excerpt:

This book, which presents the peer-reviewed post-proceedings of CSNDD 2012 and CSNDD 2014, addresses the important role that relevant concepts and tools from nonlinear and complex dynamics could play in present and future engineering applications. It includes 22 chapters contributed by outstanding researchers and covering various aspects of applications, including: structural health monitoring, diagnosis and damage detection, experimental methodologies, active vibration control and smart structures, passive control of structures using nonlinear energy sinks, vibro-impact dynamic MEMS/NEMS/AFM, energy-harvesting materials and structures, and time-delayed feedback control, as well as aspects of deterministic versus stochastic dynamics and control of nonlinear phenomena in physics. Researchers and engineers interested in the challenges posed and opportunities offered by nonlinearities in the development of passive and active control strategies, energy harvesting, novel design criteria, modeling and characterization will find the book to be an outstanding introduction.

Handbook of Structural Life Assessment

Handbook of Structural Life Assessment
Author: Raouf A. Ibrahim
Publsiher: John Wiley & Sons
Total Pages: 400
Release: 2017-03-29
ISBN: 1119135494
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Handbook of Structural Life Assessment Book Excerpt:

This important, self-contained reference deals with structural life assessment (SLA) and structural health monitoring (SHM) in a combined form. SLA periodically evaluates the state and condition of a structural system and provides recommendations for possible maintenance actions or the end of structural service life. It is a diversified field and relies on the theories of fracture mechanics, fatigue damage process, and reliability theory. For common structures, their life assessment is not only governed by the theory of fracture mechanics and fatigue damage process, but by other factors such as corrosion, grounding, and sudden collision. On the other hand, SHM deals with the detection, prediction, and location of crack development online. Both SLA and SHM are combined in a unified and coherent treatment.

Structural Integrity and Durability of Advanced Composites

Structural Integrity and Durability of Advanced Composites
Author: Peter Beaumont,Constantinos Soutis,Alma Hodzic
Publsiher: Woodhead Publishing
Total Pages: 872
Release: 2015-05-19
ISBN: 008100138X
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Structural Integrity and Durability of Advanced Composites Book Excerpt:

Structural Integrity and Durability of Advanced Composites: Innovative Modelling Methods and Intelligent Design presents scientific and technological research from leading composite materials scientists and engineers that showcase the fundamental issues and practical problems that affect the development and exploitation of large composite structures. As predicting precisely where cracks may develop in materials under stress is an age old mystery in the design and building of large-scale engineering structures, the burden of testing to provide "fracture safe design" is imperative. Readers will learn to transfer key ideas from research and development to both the design engineer and end-user of composite materials. This comprehensive text provides the information users need to understand deformation and fracture phenomena resulting from impact, fatigue, creep, and stress corrosion cracking and how these phenomena can affect reliability, life expectancy, and the durability of structures. Presents scientific and technological research from leading composite materials scientists and engineers that showcase fundamental issues and practical problems Provides the information users need to understand deformation and fracture phenomena resulting from impact, fatigue, creep, and stress corrosion cracking Enables readers to transfer key ideas from research and development to both the design engineer and end-user of composite materials

Meshfree Methods for Partial Differential Equations VII

Meshfree Methods for Partial Differential Equations VII
Author: Michael Griebel,Marc Alexander Schweitzer
Publsiher: Springer
Total Pages: 324
Release: 2014-12-02
ISBN: 3319068989
Category: Mathematics
Language: EN, FR, DE, ES & NL

Meshfree Methods for Partial Differential Equations VII Book Excerpt:

Meshfree methods, particle methods, and generalized finite element methods have witnessed substantial development since the mid 1990s. The growing interest in these methods is due in part to the fact that they are extremely flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods offer a number of advantageous features which are especially attractive when dealing with multiscale phenomena: a priori knowledge about particular local behavior of the solution can easily be introduced in the meshfree approximation space, and coarse-scale approximations can be seamlessly refined with fine-scale information. This volume collects selected papers presented at the Seventh International Workshop on Meshfree Methods, held in Bonn, Germany in September 2013. They address various aspects of this highly dynamic research field and cover topics from applied mathematics, physics and engineering.

13th Chaotic Modeling and Simulation International Conference

13th Chaotic Modeling and Simulation International Conference
Author: Christos H. Skiadas,Yiannis Dimotikalis
Publsiher: Springer Nature
Total Pages: 1080
Release: 2021
ISBN: 3030707954
Category: Chaotic behavior in systems
Language: EN, FR, DE, ES & NL

13th Chaotic Modeling and Simulation International Conference Book Excerpt:

Gathering the proceedings of the 13th CHAOS2020 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies.

Research in Mathematics of Materials Science

Research in Mathematics of Materials Science
Author: Malena I. Español,Marta Lewicka,Lucia Scardia,Anja Schlömerkemper
Publsiher: Springer Nature
Total Pages: 514
Release: 2022
ISBN: 3031044967
Category: Electronic books
Language: EN, FR, DE, ES & NL

Research in Mathematics of Materials Science Book Excerpt:

This volume highlights contributions of women mathematicians in the study of complex materials and includes both original research papers and reviews. The featured topics and methods draw on the fields of Calculus of Variations, Partial Differential Equations, Functional Analysis, Differential Geometry and Topology, as well as Numerical Analysis and Mathematical Modelling. Areas of applications include foams, fluid-solid interactions, liquid crystals, shape-memory alloys, magnetic suspensions, failure in solids, plasticity, viscoelasticity, homogenization, crystallization, grain growth, and phase-field models.

Advances in Modeling Assessment and Prevention of Geotechnical and Geological Disasters

Advances in Modeling  Assessment  and Prevention of Geotechnical and Geological Disasters
Author: Xiaodong Fu,Yongtao Yang,Min Wang,Zetian Zhang
Publsiher: Frontiers Media SA
Total Pages: 539
Release: 2022-10-19
ISBN: 2832502938
Category: Science
Language: EN, FR, DE, ES & NL

Advances in Modeling Assessment and Prevention of Geotechnical and Geological Disasters Book Excerpt:

Peridynamic Differential Operator for Numerical Analysis

Peridynamic Differential Operator for Numerical Analysis
Author: Erdogan Madenci,Atila Barut,Mehmet Dorduncu
Publsiher: Springer
Total Pages: 282
Release: 2019-01-17
ISBN: 3030026477
Category: Science
Language: EN, FR, DE, ES & NL

Peridynamic Differential Operator for Numerical Analysis 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.

Extended Finite Element and Meshfree Methods

Extended Finite Element and Meshfree Methods
Author: Timon Rabczuk,Jeong-Hoon Song,Xiaoying Zhuang,Cosmin Anitescu
Publsiher: Academic Press
Total Pages: 638
Release: 2019-11-13
ISBN: 0128141077
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Extended Finite Element and Meshfree Methods Book Excerpt:

Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-interaction, optimization and inverse analysis because they do not require any remeshing. These methods include the original extended finite element method, smoothed extended finite element method (XFEM), phantom node method, extended meshfree methods, numerical manifold method and extended isogeometric analysis. This book also addresses their implementation and provides small MATLAB codes on each sub-topic. Also discussed are the challenges and efficient algorithms for tracking the crack path which plays an important role for complex engineering applications. Explains all the important theory behind XFEM and meshfree methods Provides advice on how to implement XFEM for a range of practical purposes, along with helpful MATLAB codes Draws on the latest research to explore new topics, such as the applications of XFEM to shell formulations, and extended meshfree and extended isogeometric methods Introduces alternative modeling methods to help readers decide what is most appropriate for their work

Structural Integrity Cases in Mechanical and Civil Engineering

Structural Integrity Cases in Mechanical and Civil Engineering
Author: Shahrum Abdullah,Salvinder Singh Karam Singh,Noorsuhada Md Nor
Publsiher: Springer Nature
Total Pages: 346
Release: 2022
ISBN: 3030856461
Category: Building materials
Language: EN, FR, DE, ES & NL

Structural Integrity Cases in Mechanical and Civil Engineering Book Excerpt:

This book covers most of the damage mechanism in the scope of mechanical engineering and civil engineering. The failure pattern of various materials and structures is mainly discussed. The sub-topics covers fatigue damage, fatigue crack initiation and propagation, life prediction techniques, computational fracture mechanics, dynamic fracture, damage mechanics and assessment, non-destructive test (NDT), concrete failure assessment, failure on soil structures, structural durability and reliability, structural health monitoring, construction damage recovery, and any relevant topics related to failure analysis.

Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes

Proceedings Of The International Congress Of Mathematicians 2018  Icm 2018   In 4 Volumes
Author: Sirakov Boyan,Souza Paulo Ney De,Viana Marcelo
Publsiher: World Scientific
Total Pages: 5396
Release: 2019-02-27
ISBN: 9813272899
Category: Mathematics
Language: EN, FR, DE, ES & NL

Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes Book Excerpt:

The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Peridynamic Theory and Its Applications

Peridynamic Theory and Its Applications
Author: Erdogan Madenci,Erkan Oterkus
Publsiher: Springer Science & Business Media
Total Pages: 289
Release: 2013-10-21
ISBN: 1461484650
Category: Science
Language: EN, FR, DE, ES & NL

Peridynamic Theory and Its Applications 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.

Current Perspectives and New Directions in Mechanics Modelling and Design of Structural Systems

Current Perspectives and New Directions in Mechanics  Modelling and Design of Structural Systems
Author: Alphose Zingoni
Publsiher: CRC Press
Total Pages: 4438
Release: 2022-09-02
ISBN: 1000824365
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Current Perspectives and New Directions in Mechanics Modelling and Design of Structural Systems Book Excerpt:

Current Perspectives and New Directions in Mechanics, Modelling and Design of Structural Systems comprises 330 papers that were presented at the Eighth International Conference on Structural Engineering, Mechanics and Computation (SEMC 2022, Cape Town, South Africa, 5-7 September 2022). The topics featured may be clustered into six broad categories that span the themes of mechanics, modelling and engineering design: (i) mechanics of materials (elasticity, plasticity, porous media, fracture, fatigue, damage, delamination, viscosity, creep, shrinkage, etc); (ii) mechanics of structures (dynamics, vibration, seismic response, soil-structure interaction, fluid-structure interaction, response to blast and impact, response to fire, structural stability, buckling, collapse behaviour); (iii) numerical modelling and experimental testing (numerical methods, simulation techniques, multi-scale modelling, computational modelling, laboratory testing, field testing, experimental measurements); (iv) design in traditional engineering materials (steel, concrete, steel-concrete composite, aluminium, masonry, timber); (v) innovative concepts, sustainable engineering and special structures (nanostructures, adaptive structures, smart structures, composite structures, glass structures, bio-inspired structures, shells, membranes, space structures, lightweight structures, etc); (vi) the engineering process and life-cycle considerations (conceptualisation, planning, analysis, design, optimization, construction, assembly, manufacture, maintenance, monitoring, assessment, repair, strengthening, retrofitting, decommissioning). Two versions of the papers are available: full papers of length 6 pages are included in the e-book, while short papers of length 2 pages, intended to be concise but self-contained summaries of the full papers, are in the printed book. This work will be of interest to civil, structural, mechanical, marine and aerospace engineers, as well as planners and architects.