Handbook Of Nonlocal Continuum Mechanics For Materials And Structures

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Handbook of Nonlocal Continuum Mechanics for Materials and Structures

Author : George Z. Voyiadjis
Publisher : Springer
Page : 1760 pages
File Size : 48,6 Mb
Release : 2018-02-25
Category : Science
ISBN : 331922977X

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Handbook of Nonlocal Continuum Mechanics for Materials and Structures by George Z. Voyiadjis Pdf

This handbook covers all areas of nonlocal continuum mechanics including theoretical aspects,computational procedures, and experimental advances. The multidisciplinary scope of articles that comprise this reference are written by internationally recognized experts in the field and stand as the most-up-to-date, established knowledge base on using nonlocal continuum mechanics to characterize material behavior for advanced composites and nano-materials, as well as for engineering scale structures. The handbook is at once a comprehensive reference for academic researchers and engineers in industry concerned with nonlocal continuum mechanics for materials and structures as well as a supplement for graduate courses on a range of topics.

Non-local Structural Mechanics

Author : Danilo Karlicic,Tony Murmu,Sondipon Adhikari,Michael McCarthy
Publisher : John Wiley & Sons
Page : 372 pages
File Size : 49,6 Mb
Release : 2016-01-26
Category : Technology & Engineering
ISBN : 9781848215221

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Non-local Structural Mechanics by Danilo Karlicic,Tony Murmu,Sondipon Adhikari,Michael McCarthy Pdf

Serving as a review on non-local mechanics, this book provides an introduction to non-local elasticity theory for static, dynamic and stability analysis in a wide range of nanostructures. The authors draw on their own research experience to present fundamental and complex theories that are relevant across a wide range of nanomechanical systems, from the fundamentals of non-local mechanics to the latest research applications.

Size-Dependent Continuum Mechanics Approaches

Author : Esmaeal Ghavanloo,S. Ahmad Fazelzadeh,Francesco Marotti de Sciarra
Publisher : Springer Nature
Page : 463 pages
File Size : 52,9 Mb
Release : 2021-04-02
Category : Science
ISBN : 9783030630508

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Size-Dependent Continuum Mechanics Approaches by Esmaeal Ghavanloo,S. Ahmad Fazelzadeh,Francesco Marotti de Sciarra Pdf

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’s 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.

Analysis of Shells, Plates, and Beams

Author : Holm Altenbach,Natalia Chinchaladze,Reinhold Kienzler,Wolfgang H. Müller
Publisher : Springer Nature
Page : 470 pages
File Size : 50,7 Mb
Release : 2020-06-03
Category : Science
ISBN : 9783030474911

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Analysis of Shells, Plates, and Beams by Holm Altenbach,Natalia Chinchaladze,Reinhold Kienzler,Wolfgang H. Müller Pdf

This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Local and Nonlocal Micromechanics of Heterogeneous Materials

Author : Valeriy A. Buryachenko
Publisher : Springer Nature
Page : 1012 pages
File Size : 47,7 Mb
Release : 2021-11-16
Category : Technology & Engineering
ISBN : 9783030817848

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Local and Nonlocal Micromechanics of Heterogeneous Materials by Valeriy A. Buryachenko Pdf

This book presents the micromechanics of random structure heterogeneous materials, a multidisciplinary research area that has experienced a revolutionary renascence at the overlap of various branches of materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology. It demonstrates intriguing successes of unified rigorous theoretical methods of applied mathematics and statistical physics in material science of microheterogeneous media. The prediction of the behaviour of heterogeneous materials by the use of properties of constituents and their microstructure is a central problem of micromechanics. This book is the first in micromechanics where a successful effort of systematic and fundamental research of the microstructure of the wide class of heterogeneous materials of natural and synthetic nature is attempted. The uniqueness of the book lies in its development and expressive representation of statistical methods quantitatively describing random structures which are at most adopted for the forthcoming evaluation of a wide variety of macroscopic transport, electromagnetic, strength, and elastoplastic properties of heterogeneous materials.

Gradient-Enhanced Continuum Plasticity

Author : George Z. Voyiadjis,Yooseob Song
Publisher : Elsevier
Page : 405 pages
File Size : 45,6 Mb
Release : 2020-03-27
Category : Technology & Engineering
ISBN : 9780128177679

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Gradient-Enhanced Continuum Plasticity by George Z. Voyiadjis,Yooseob Song Pdf

Gradient-Enhanced Continuum Plasticity provides an expansive review of gradient-enhanced continuum plasticity from the initial stage to current research trends in experimental, theoretical, computational and numerical investigations. Starting with an overview of continuum mechanics and classical plasticity, the book then delves into concise lessons covering basic principles and applications, such as outlining the use of the finite element method to solve problems with size effects, mesh sensitivity and high velocity impact loading. All major theories are explored, providing readers with a guide to understanding the various concepts of and differences between an array of gradient-enhanced continuum plasticity models. Outlines the concepts of, and differences between, various gradient-enhanced continuum plasticity models Provides guidance on problem-solving for size effects, mesh-sensitivity tests and thermo-mechanical coupling Reviews experimental, numerical and theoretical issues in gradient-enhanced continuum plasticity Describes micromechanical aspects from experimental observations

Advanced Methods of Continuum Mechanics for Materials and Structures

Author : Konstantin Naumenko,Marcus Aßmus
Publisher : Springer
Page : 558 pages
File Size : 45,5 Mb
Release : 2016-05-12
Category : Science
ISBN : 9789811009594

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Advanced Methods of Continuum Mechanics for Materials and Structures by Konstantin Naumenko,Marcus Aßmus Pdf

This volume presents a collection of contributions on advanced approaches of continuum mechanics, which were written to celebrate the 60th birthday of Prof. Holm Altenbach. The contributions are on topics related to the theoretical foundations for the analysis of rods, shells and three-dimensional solids, formulation of constitutive models for advanced materials, as well as development of new approaches to the modeling of damage and fractures.

Sixty Shades of Generalized Continua

Author : Holm Altenbach,Arkadi Berezovski,Francesco dell'Isola,Alexey Porubov
Publisher : Springer Nature
Page : 781 pages
File Size : 55,9 Mb
Release : 2023-02-13
Category : Science
ISBN : 9783031261862

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Sixty Shades of Generalized Continua by Holm Altenbach,Arkadi Berezovski,Francesco dell'Isola,Alexey Porubov Pdf

In this book, well-known scientists discuss modern aspects of generalized continua, in order to better understand modern materials and advanced structures. They possess complicated internal structure, and it requires the development of new approaches to model such structures and new effects caused by it. This book combines fundamental contributions in honor of Victor Eremeyev and his 60th birthday.

A3N2M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models

Author : Tadele Mengesha,Abner J. Salgado
Publisher : Springer Nature
Page : 325 pages
File Size : 47,8 Mb
Release : 2023-09-12
Category : Mathematics
ISBN : 9783031340895

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A3N2M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models by Tadele Mengesha,Abner J. Salgado Pdf

This volume collects papers based on plenary and invited talks given at the 50th Barrett Memorial Lectures on Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models that was organized by the University of Tennessee, Knoxville and held virtually in May 2021. The three-day meeting brought together experts from the computational, scientific, engineering, and mathematical communities who work with nonlocal models. These proceedings collect contributions and give a survey of the state of the art in computational practices, mathematical analysis, applications of nonlocal models, and explorations of new application domains. The volume benefits from the mixture of contributions by computational scientists, mathematicians, and application specialists. The content is suitable for graduate students as well as specialists working with nonlocal models and covers topics on fractional PDEs, regularity theory for kinetic equations, approximation theory for fractional diffusion, analysis of nonlocal diffusion model as a bridge between local and fractional PDEs, and more.

Research in Mathematics of Materials Science

Author : Malena I. Español,Marta Lewicka,Lucia Scardia,Anja Schlömerkemper
Publisher : Springer Nature
Page : 514 pages
File Size : 40,7 Mb
Release : 2022-09-27
Category : Mathematics
ISBN : 9783031044960

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Research in Mathematics of Materials Science by Malena I. Español,Marta Lewicka,Lucia Scardia,Anja Schlömerkemper Pdf

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.

Peridynamic Modeling, Numerical Techniques, and Applications

Author : Erkan Oterkus,Selda Oterkus,Erdogan Madenci
Publisher : Elsevier
Page : 462 pages
File Size : 42,8 Mb
Release : 2021-04-24
Category : Technology & Engineering
ISBN : 9780128204412

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Peridynamic Modeling, Numerical Techniques, and Applications by Erkan Oterkus,Selda Oterkus,Erdogan Madenci Pdf

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

A Gradient Crystal Plasticity Theory Based on an Extended Energy Balance

Author : Prahs, Andreas
Publisher : KIT Scientific Publishing
Page : 182 pages
File Size : 40,6 Mb
Release : 2020-09-15
Category : Technology & Engineering
ISBN : 9783731510253

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A Gradient Crystal Plasticity Theory Based on an Extended Energy Balance by Prahs, Andreas Pdf

An overview of different methods for the derivation of extended continuum models is given. A gradient plasticity theory is established in the context of small deformations and single slip by considering the invariance of an extended energy balance with respect to Euclidean transformations, where the plastic slip is considered as an additional degree of freedom. Thermodynamically consistent flow rules at the grain boundary are derived. The theory is applied to a two- and a three-phase laminate.

Dynamic Behavior of Materials, Volume 1

Author : Jamie Kimberley,Leslie Elise Lamberson,Steven Mates
Publisher : Springer
Page : 345 pages
File Size : 50,5 Mb
Release : 2018-10-27
Category : Science
ISBN : 9783319950891

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Dynamic Behavior of Materials, Volume 1 by Jamie Kimberley,Leslie Elise Lamberson,Steven Mates Pdf

Dynamic Behavior of Materials, Volume 1 of the Proceedings of the 2018 SEM Annual Conference & Exposition on Experimental and Applied Mechanics, the first volume of eight from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Experimental Mechanics, including papers on: Synchrotron Applications/Advanced Dynamic Imaging Quantitative Visualization of Dynamic Events Novel Experimental Techniques Dynamic Behavior of Geomaterials Dynamic Failure & Fragmentation Dynamic Response of Low Impedance Materials Hybrid Experimental/Computational Studies Shock and Blast Loading Advances in Material Modeling Industrial Applications

Nano-Energetic Materials

Author : Shantanu Bhattacharya,Avinash Kumar Agarwal,T. Rajagopalan,Vinay K. Patel
Publisher : Springer
Page : 290 pages
File Size : 48,6 Mb
Release : 2018-11-09
Category : Technology & Engineering
ISBN : 9789811332692

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Nano-Energetic Materials by Shantanu Bhattacharya,Avinash Kumar Agarwal,T. Rajagopalan,Vinay K. Patel Pdf

This book presents the latest research on the area of nano-energetic materials, their synthesis, fabrication, patterning, application and integration with various MEMS systems and platforms. Keeping in mind the applications for this field in aerospace and defense sectors, the articles in this volume contain contributions by leading researchers in the field, who discuss the current challenges and future perspectives. This volume will be of use to researchers working on various applications of high-energy research.

Size Effects in Plasticity

Author : George Voyiadjis,Mohammadreza Yaghoobi
Publisher : Academic Press
Page : 408 pages
File Size : 42,7 Mb
Release : 2019-08-01
Category : Technology & Engineering
ISBN : 9780128135136

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Size Effects in Plasticity by George Voyiadjis,Mohammadreza Yaghoobi Pdf

Size Effects in Plasticity: From Macro to Nano provides concise explanations of all available methods in this area, from atomistic simulation, to non-local continuum models to capture size effects. It then compares their applicability to a wide range of research scenarios. This essential guide addresses basic principles, numerical issues and computation, applications and provides code which readers can use in their own modeling projects. Researchers in the fields of computational mechanics, materials science and engineering will find this to be an ideal resource when they address the size effects observed in deformation mechanisms and strengths of various materials. Provides a comprehensive reference on the field of size effects and a review of mechanics of materials research in all scales Explains all major methods of size effects simulation, including non-local continuum models, non-local crystal plasticity, discrete dislocation methods and molecular dynamics Includes source codes that readers can use in their own projects