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Peridynamic Modeling, Numerical Techniques, and Applications

Peridynamic Modeling, Numerical Techniques, and Applications
A Book

by Erkan Oterkus,Selda Oterkus,Erdogan Madenci

  • Publisher : Elsevier
  • Release : 2021-04-24
  • Pages : 462
  • ISBN : 0128204419
  • Language : En, Es, Fr & De
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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

Handbook of Peridynamic Modeling

Handbook of Peridynamic Modeling
A Book

by Florin Bobaru,John T. Foster,Philippe H Geubelle,Stewart A. Silling

  • Publisher : CRC Press
  • Release : 2016-11-03
  • Pages : 548
  • ISBN : 1315355949
  • Language : En, Es, Fr & De
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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 Applied Mechanics

Advances in Applied Mechanics
A Book

by Anonim

  • Publisher : Academic Press
  • Release : 2010-11-03
  • Pages : 318
  • ISBN : 9780123808790
  • Language : En, Es, Fr & De
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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

Nonlocal Modeling, Analysis, and Computation

Nonlocal Modeling, Analysis, and Computation
A Book

by Qiang Du

  • Publisher : SIAM
  • Release : 2019-03-20
  • Pages : 168
  • ISBN : 1611975611
  • Language : En, Es, Fr & De
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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.

Structural Nonlinear Dynamics and Diagnosis

Structural Nonlinear Dynamics and Diagnosis
Selected papers from CSNDD 2012 and CSNDD 2014

by Mohamed Belhaq

  • Publisher : Springer
  • Release : 2015-08-13
  • Pages : 509
  • ISBN : 3319198513
  • Language : En, Es, Fr & De
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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
A Book

by Raouf A. Ibrahim

  • Publisher : John Wiley & Sons
  • Release : 2017-03-29
  • Pages : 400
  • ISBN : 1119135494
  • Language : En, Es, Fr & De
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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
Innovative Modelling Methods and Intelligent Design

by Peter Beaumont,Constantinos Soutis,Alma Hodzic

  • Publisher : Woodhead Publishing
  • Release : 2015-05-19
  • Pages : 872
  • ISBN : 008100138X
  • Language : En, Es, Fr & De
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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
A Book

by Michael Griebel,Marc Alexander Schweitzer

  • Publisher : Springer
  • Release : 2014-12-02
  • Pages : 324
  • ISBN : 3319068989
  • Language : En, Es, Fr & De
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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.

Peridynamic Theory and Its Applications

Peridynamic Theory and Its Applications
A Book

by Erdogan Madenci,Erkan Oterkus

  • Publisher : Springer Science & Business Media
  • Release : 2013-10-21
  • Pages : 289
  • ISBN : 1461484650
  • Language : En, Es, Fr & De
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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.

Computational Science and Its Applications – ICCSA 2021

Computational Science and Its Applications – ICCSA 2021
21st International Conference, Cagliari, Italy, September 13–16, 2021, Proceedings, Part I

by Osvaldo Gervasi,Beniamino Murgante,Sanjay Misra,Chiara Garau,Ivan Blečić,David Taniar,Bernady O. Apduhan,Ana Maria A. C. Rocha,Eufemia Tarantino,Carmelo Maria Torre

  • Publisher : Springer Nature
  • Release : 2021-09-09
  • Pages : 692
  • ISBN : 303086653X
  • Language : En, Es, Fr & De
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The ten-volume set LNCS 12949 – 12958 constitutes the proceedings of the 21st International Conference on Computational Science and Its Applications, ICCSA 2021, which was held in Cagliari, Italy, during September 13 – 16, 2021. The event was organized in a hybrid mode due to the Covid-19 pandemic.The 466 full and 18 short papers presented in these proceedings were carefully reviewed and selected from 1588 submissions. The books cover such topics as multicore architectures, mobile and wireless security, sensor networks, open source software, collaborative and social computing systems and tools, cryptography, human computer interaction, software design engineering, and others. Part I of the set follows two general tracks: computational methods, algorithms, and scientific applications; high performance computing and networks.

Peridynamic Differential Operator for Numerical Analysis

Peridynamic Differential Operator for Numerical Analysis
A Book

by Erdogan Madenci,Atila Barut,Mehmet Dorduncu

  • Publisher : Springer
  • Release : 2019-01-17
  • Pages : 282
  • ISBN : 3030026477
  • Language : En, Es, Fr & De
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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
A Book

by Timon Rabczuk,Jeong-Hoon Song,Xiaoying Zhuang,Cosmin Anitescu

  • Publisher : Academic Press
  • Release : 2019-11-13
  • Pages : 638
  • ISBN : 0128141077
  • Language : En, Es, Fr & De
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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

Peridynamic Theory and Its Applications

Peridynamic Theory and Its Applications
A Book

by Erdogan Madenci,Erkan Oterkus

  • Publisher : Springer
  • Release : 2013-10-22
  • Pages : 289
  • ISBN : 9781461484646
  • Language : En, Es, Fr & De
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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.

Nonlocal Modeling, Analysis, and Computation

Nonlocal Modeling, Analysis, and Computation
A Book

by Qiang Du

  • Publisher : SIAM
  • Release : 2019-03-20
  • Pages : 168
  • ISBN : 161197562X
  • Language : En, Es, Fr & De
GET BOOK

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.

Simulation of Additive Manufacturing using Meshfree Methods

Simulation of Additive Manufacturing using Meshfree Methods
With Focus on Requirements for an Accurate Solution

by Christian Weißenfels

  • Publisher : Springer Nature
  • Release : 2021-10-29
  • Pages : 202
  • ISBN : 3030873374
  • Language : En, Es, Fr & De
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This book provides a detailed instruction to virtually reproduce the processes of Additive Manufacturing on a computer. First, all mathematical equations needed to model these processes are presented. Due to their flexibility, meshfree methods represent optimal computational solution schemes to simulate Additive Manufacturing processes. On the other hand, these methods usually do not guarantee an accurate solution. For this reason, this monograph is dedicated in detail to the necessary criteria for computational solution schemes to provide accurate results. Several meshfree methods are examined with respect to these conditions. Two different 3D printing techniques are presented in detail. The results obtained from the simulation are investigated and compared with experimental data. This work is addressed to both scientists and professionals working in the field of development who are interested to learn the secrets behind meshfree methods or get into the modeling of Additive Manufacturing.

Numerical Modelling of Failure in Advanced Composite Materials

Numerical Modelling of Failure in Advanced Composite Materials
A Book

by Pedro P. Camanho,Stephen R. Hallett

  • Publisher : Woodhead Publishing
  • Release : 2015-08-07
  • Pages : 562
  • ISBN : 0081003420
  • Language : En, Es, Fr & De
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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

Size-Dependent Continuum Mechanics Approaches

Size-Dependent Continuum Mechanics Approaches
Theory and Applications

by Esmaeal Ghavanloo,S. Ahmad Fazelzadeh,Francesco Marotti de Sciarra

  • Publisher : Springer Nature
  • Release : 2021
  • Pages : 463
  • ISBN : 3030630501
  • Language : En, Es, Fr & De
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This book offers a comprehensive and timely report of size-dependent continuum mechanics approaches. Written by scientists with worldwide reputation and established expertise, it covers the most recent findings, advanced theoretical developments and computational techniques, as well as a range of applications, in the field of nonlocal continuum mechanics. Chapters are concerned with lattice-based nonlocal models, Eringen nonlocal models, gradient theories of elasticity, strain- and stress-driven nonlocal models, and peridynamic theory, among other topics. This book provides researchers and practitioners with extensive and specialized information on cutting-edge theories and methods, innovative solutions to current problems and a timely insight into the behavior of some advanced materials and structures. It also offers a useful reference guide to senior undergraduate and graduate students in mechanical engineering, materials science, and applied physics.

Marine Structures

Marine Structures
A Book

by Erkan Oterkus

  • Publisher : MDPI
  • Release : 2020-01-31
  • Pages : 210
  • ISBN : 3039281828
  • Language : En, Es, Fr & De
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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.

Proceedings of the 7th International Conference on Discrete Element Methods

Proceedings of the 7th International Conference on Discrete Element Methods
A Book

by Xikui Li,Yuntian Feng,Graham Mustoe

  • Publisher : Springer
  • Release : 2016-12-01
  • Pages : 1455
  • ISBN : 9811019266
  • Language : En, Es, Fr & De
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This book presents the latest advances in Discrete Element Methods (DEM) and technology. It is the proceeding of 7th International Conference on DEM which was held at Dalian University of Technology on August 1 - 4, 2016. The subject of this book are the DEM and related computational techniques such as DDA, FEM/DEM, molecular dynamics, SPH, Meshless methods, etc., which are the main computational methods for modeling discontinua. In comparison to continua which have been already studied for a long time, the research of discontinua is relatively new, but increases dramatically in recent years and has already become an important field. This book will benefit researchers and scientists from the academic fields of physics, engineering and applied mathematics, as well as from industry and national laboratories who are interested in the DEM.

Applied Nanoindentation in Advanced Materials

Applied Nanoindentation in Advanced Materials
A Book

by Atul Tiwari,Sridhar Natarajan

  • Publisher : John Wiley & Sons
  • Release : 2017-08-30
  • Pages : 704
  • ISBN : 1119084520
  • Language : En, Es, Fr & De
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Research in the area of nanoindentation has gained significant momentum in recent years, but there are very few books currently available which can educate researchers on the application aspects of this technique in various areas of materials science. Applied Nanoindentation in Advanced Materials addresses this need and is a comprehensive, self-contained reference covering applied aspects of nanoindentation in advanced materials. With contributions from leading researchers in the field, this book is divided into three parts. Part one covers innovations and analysis, and parts two and three examine the application and evaluation of soft and ceramic-like materials respectively. Key features: A one stop solution for scholars and researchers to learn applied aspects of nanoindentation Contains contributions from leading researchers in the field Includes the analysis of key properties that can be studied using the nanoindentation technique Covers recent innovations Includes worked examples Applied Nanoindentation in Advanced Materials is an ideal reference for researchers and practitioners working in the areas of nanotechnology and nanomechanics, and is also a useful source of information for graduate students in mechanical and materials engineering, and chemistry. This book also contains a wealth of information for scientists and engineers interested in mathematical modelling and simulations related to nanoindentation testing and analysis.