Handbook of Nonlocal Continuum Mechanics for Materials and Structures

Provides detailed treatments of computational modeling and applications of nonlocal continuum mechanics (NCM), micro-mechanical characterizations and experimental validation, mathematical methods, nonlocal fracture mechanics, use of NCM in ...

Handbook of Nonlocal Continuum Mechanics for Materials and Structures

Provides detailed treatments of computational modeling and applications of nonlocal continuum mechanics (NCM), micro-mechanical characterizations and experimental validation, mathematical methods, nonlocal fracture mechanics, use of NCM in nanotechnology, and NCM in advanced composite materials.

Gradient Enhanced Continuum Plasticity

Handbook of Nonlocal Continuum Mechanics for Materials and Structures 1À48. Voyiadjis, G.Z., Song, Y., 2018. Finite element analysis of thermodynamically consistent strain gradient plasticity theory and applications.

Gradient Enhanced Continuum Plasticity

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

Analysis of Shells Plates and Beams

Karlicic D, Murmu T, Adhikari S, McCarthy M (2016) Non-local Structural Mechanics. John Wiley and Son Inc., ... Program, Boston Voyiadjis GZ (ed) (2019) Handbook of Nonlocal Continuum Mechanics for Materials and Structures.

Analysis of Shells  Plates  and Beams

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.

A Gradient Crystal Plasticity Theory Based on an Extended Energy Balance

In: Voyiadjis, G. Z. (Ed.), Handbook of Nonlocal Continuum Mechanics for Materials and Structures. Springer, Cham. Forest, S., Ammar, K., Appolaire, B., 2011. Micromorphic vs. phase-field approaches for gradient viscoplasticity and ...

A Gradient Crystal Plasticity Theory Based on an Extended Energy Balance

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.

Peridynamic Modeling Numerical Techniques and Applications

In: Voyiadjis, G.Z. (Ed.), Handbook of Nonlocal Continuum Mechanics for Materials and Structures. Springer, pp. 1159e1196. Tian, X., Du, Q., 2013. Analysis and comparison of different approximations to nonlocal diffusion and linear ...

Peridynamic Modeling  Numerical Techniques  and Applications

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

Dynamic Behavior of Materials Volume 1

4. Verma, D., Prakash, C., Tomar, V.: Properties of material interfaces: dynamic local versus nonlocal. In: Voyiadjis, G. (ed.) Handbook of Nonlocal Continuum Mechanics for Materials and Structures, pp. 1–16. Springer, Cham (2017) 5.

Dynamic Behavior of Materials  Volume 1

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

Mater Des 112:345–356 Verma D, Prakash C, Tomar V (2017) Properties of material interfaces: dynamic local versus nonlocal. In: Voyiadjis G (ed) Handbook of nonlocal continuum mechanics for materials and structures.

Nano Energetic Materials

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

Structure identification methods for atomistic simulations of crystalline materials. Model. Simul. Mater. Sci. Eng. 20. ... In: Voyiadjis, G.Z. (Ed.), Handbook of Nonlocal Continuum Mechanics for Materials and Structures.

Size Effects in Plasticity

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

Instabilities Modeling in Geomechanics

Cosserat approach to localization in geomaterials. In Handbook of Nonlocal Continuum Mechanics for Materials and Structures, Voyiadjis, G.Z. (ed.). Springer, Basel, Switzerland, 1–25. Sulem, J., Stefanou, I., Veveakis, M. (2011).

Instabilities Modeling in Geomechanics

Instabilities Modeling in Geomechanics describes complex mechanisms which are frequently met in earthquake nucleation, geothermal energy production, nuclear waste disposal and CO2 sequestration. These mechanisms involve systems of non-linear differential equations that express the evolution of the geosystem (e.g. strain localization, temperature runaway, pore pressure build-up, etc.) at different length and time scales. In order to study the evolution of a system and possible instabilities, it is essential to know the mathematical properties of the governing equations. Therefore, questions of the existence, uniqueness and stability of solutions naturally arise. This book particularly explores bifurcation theory and stability analysis, which are robust and rigorous mathematical tools that allow us to study the behavior of complex geosystems, without even explicitly solving the governing equations. The contents are organized into 10 chapters which illustrate the application of these methods in various fields of geomechanics.

Wave Propagation in Nanostructures

Nonlocal Continuum Mechanics Formulations Srinivasan Gopalakrishnan, Saggam Narendar ... between individual atoms, becomes increasingly important and the discrete structure of the material can no longer be homogenized into a continuum.

Wave Propagation in Nanostructures

Wave Propagation in Nanostructures describes the fundamental and advanced concepts of waves propagating in structures that have dimensions of the order of nanometers. The book is fundamentally based on non-local elasticity theory, which includes scale effects in the continuum model. The book predominantly addresses wave behavior in carbon nanotubes and Graphene structures, although the methods of analysis provided in this text are equally applicable to other nanostructures. The book takes the reader from the fundamentals of wave propagation in nanotubes to more advanced topics such as rotating nanotubes, coupled nanotubes, and nanotubes with magnetic field and surface effects. The first few chapters cover the basics of wave propagation, different modeling schemes for nanostructures and introduce non-local elasticity theories, which form the building blocks for understanding the material provided in later chapters. A number of interesting examples are provided to illustrate the important features of wave behavior in these low dimensional structures.

New Achievements in Continuum Mechanics and Thermodynamics

In: Advanced Methods of Continuum Mechanics for Materials and Structures, Springer, pp 523–545 dell'Isola F, Cuomo M, Greco L, Della Corte A (2016b) Bias extension test for pantographic sheets: numerical simulations based on second ...

New Achievements in Continuum Mechanics and Thermodynamics

This book presents a liber amicorum dedicated to Wolfgang H. Müller, and highlights recent advances in Prof. Müller’s major fields of research: continuum mechanics, generalized mechanics, thermodynamics, mechanochemistry, and geomechanics. Over 50 of Prof. Müller’s friends and colleagues contributed to this book, which commemorates his 60th birthday and was published in recognition of his outstanding contributions.

The Complete Works of Gabrio Piola Volume II

Eringen, A.C., Continuum physics. Polar and nonlocal field theories., Volume 4. ... In: Handbook of mathematical fluid dynamics, 3, pp. ... In Advanced Methods of Continuum Mechanics for Materials and Structures (pp. 523-545).

The Complete Works of Gabrio Piola  Volume II

This book presents the second volume of Piola’s original Italian text together with the English-language translation and comments, showing convincingly that Gabrio Piola’s work must still be regarded as a modern theory. Gabrio Piola’s work has had an enormous impact on the development of applied mathematics and continuum mechanics. As such, a committee of scientific experts took it upon themselves to translate his complete works. In a second step, they commented on Piola’s work and compared it to modern theories in mechanics in order to stress Piola’s impact on modern science and prove and confirm that he achieved significant milestones in applied mathematics.

Computational Continuum Mechanics of Nanoscopic Structures

Nanomaterials Handbook (Taylor & Francis-CRC Press, Philadelphia, 2006) J.N. Tiwari, R.N. Tiwari, K.S. Kim, Zero-dimensional, one-dimensional, two-dimensional and three-dimensional nanostructured materials for advanced electrochemical ...

Computational Continuum Mechanics of Nanoscopic Structures

This book offers a comprehensive treatment of nonlocal elasticity theory as applied to the prediction of the mechanical characteristics of various types of biological and non-biological nanoscopic structures with different morphologies and functional behaviour. It combines fundamental notions and advanced concepts, covering both the theory of nonlocal elasticity and the mechanics of nanoscopic structures and systems. By reporting on recent findings and discussing future challenges, the book seeks to foster the application of nonlocal elasticity based approaches to the emerging fields of nanoscience and nanotechnology. It is a self-contained guide, and covers all relevant background information, the requisite mathematical and computational techniques, theoretical assumptions, physical methods and possible limitations of the nonlocal approach, including some practical applications. Mainly written for researchers in the fields of physics, biophysics, mechanics, and nanoscience, as well as computational engineers, the book can also be used as a reference guide for senior undergraduate and graduate students, as well as practicing engineers working in a range of areas, such as computational condensed matter physics, computational materials science, computational nanoscience and nanotechnology, and nanomechanics.

Handbook of Research on Seismic Assessment and Rehabilitation of Historic Structures

the context of large-scale masonry structures (Pietrszczak & Niu, 1992; Cluni & Gusella, 2004). ... damage continuum mechanics based on the plasticity theory; (ii) nonlocal constitutive laws and (iii) no-tension material assumption e.g. ...

Handbook of Research on Seismic Assessment and Rehabilitation of Historic Structures

Rehabilitation of heritage monuments provides sustainable development and cultural significance to a region. The most sensitive aspect of the refurbishment of existing buildings lies in the renovation and recovery of structural integrity and public safety. The Handbook of Research on Seismic Assessment and Rehabilitation of Historic Structures evaluates developing contributions in the field of earthquake engineering with regards to the analysis and treatment of structural damage inflicted by seismic activity. This book is a vital reference source for professionals, researchers, students, and engineers active in the field of earthquake engineering who are interested in the emergent developments and research available in the preservation and rehabilitation of heritage buildings following seismic activity.

Handbook of Structural Life Assessment

Erdogan, F. (1965) Stress distribution in bonded dissimilar materials with cracks, ASMEJAppl Mech 32, 403–410. ... Eringen, A.C. (1992) Vistas of nonlocal continuum physics, IntJ Engineering Science 30, 1551–1565.

Handbook of Structural Life Assessment

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.

Generalized Models and Non classical Approaches in Complex Materials 1

New Journal of Physics 9(3):45 Cummer S, Popa B, Schurig D, Smith D, Pendry J, Rahm M, Starr A (2008) Scattering theory ... In: Advanced Methods of Continuum Mechanics for Materials and Structures, Springer, pp 523–545 dell'Isola F, ...

Generalized Models and Non classical Approaches in Complex Materials 1

This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Handbook of Peridynamic Modeling

A nonlocal, ordinarystatebased viscoelasticity model for peridynamics. ... Journal of Mechanics of Materials and Structures, 7(1): 45–84, 2012. ... Bridging methods for atomistictocontinuum coupling and their implementation.

Handbook of Peridynamic Modeling

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.

Handbook of Graphene

Ebrahimi, F. and Barati, M.R., Vibration analysis of nonlocal beams made of functionally graded material in thermal ... effect on the buckling of single-layered graphene sheets under biaxial compression via nonlocal continuum mechanics.

Handbook of Graphene

The eighth volume in a series of handbooks on graphene research and applications The Handbook of Graphene, Volume 8: Technology and Innovations discusses the role of graphene-based applications in technological advancements. Topics include graphene materials used in circuit board repairs; RFID antenna and sensor fabrication; and wearable healthcare electronics. Chapters present detailed information on: modeling methods used in graphene research; applications of graphene-on-silicon photonic integrated circuits; the development of graphene for engineering applications; and other graphene subjects of interest to scientists, chemists and physicists.

Handbook of Materials Behavior Models Three Volume Set

Measurement of the characteristic length of nonlocal continuum. ]. Engrg. Mech. ... Isotropic and anisotropic descriptions of damage in concrete structures. Int. ]. Mechanics of Cohesive Frictional Materials 4: 339-359. 4.

Handbook of Materials Behavior Models  Three Volume Set

This first of a kind reference/handbook deals with nonlinear models and properties of material. In the study the behavior of materials' phenomena no unique laws exist. Therefore, researchers often turn to models to determine the properties of materials. This will be the first book to bring together such a comprehensive collection of these models. The Handbook deals with all solid materials, and is organized first by phenomena. Most of the materials models presented in an applications-oriented fashion, less descriptive and more practitioner-geared, making it useful in the daily working activities of professionals. The Handbook is divided into three volumes. Volume I, Deformation of Materials, introduces general methodologies in the art of modeling, in choosing materials, and in the "so-called" size effect. Chapters 2-5 deal respectively with elasticity and viscoelasticity, yield limit, plasticity, and visco-plasticity. Volume II, Failures in Materials, provides models on such concerns as continuous damage, cracking and fracture, and friction wear. Volume III, Multiphysics Behavior, deals with multiphysics coupled behaviors. Chapter's 10 and 11 are devoted to special classes of materials (composites, biomaterials, and geomaterials). The different sections within each chapter describe one model each with its domain of validity, its background, its formulation, the identification of material parameters for as many materials as possible, and advice on how to implement or use the model. The study of the behavior of materials, especially solids, is related to hundreds of areas in engineering design and control. Predicting how a material will perform under various conditions is essential to determining the optimal performance of machines and vehicles and the structural integrity of buildings, as well as safety issues. Such practical examples would be how various new materials, such as those used in new airplane hulls, react to heat or cold or sudden temperature changes, or how new building materials hold up under extreme earthquake conditions. The Handbook of Materials Behavior Models: Gathers together 117 models of behavior of materials written by the most eminent specialists in their field Presents each model's domain of validity, a short background, its formulation, a methodology to identify the materials parameters, advise on how to use it in practical applications as well as extensive references Covers all solid materials: metals, alloys, ceramics, polymers, composites, concrete, wood, rubber, geomaterials such as rocks, soils, sand, clay, biomaterials, etc Concerns all engineering phenomena: elasticity, viscoelasticity, yield limit, plasticity, viscoplasticity, damage, fracture, friction, and wear

The Catalogue of Computational Material Models

M. Kojic, K.-J. Bathe, Inelastic Analysis of Solids and Structures (Springer, Berlin, 2005) 71. A.A. Shabana, Computational Continuum Mechanics (Wiley, Hoboken, 2018) 72. P. Le Tallec, Numerical methods for nonlinear three-dimensional ...

The Catalogue of Computational Material Models

This book gives a comprehensive account of the formulation and computational treatment of basic geometrically linear models in 1D. To set the stage, it assembles some preliminaries regarding necessary modelling, computational and mathematical tools. Thereafter, the remaining parts are concerned with the actual catalogue of computational material models. To this end, after starting out with elasticity as a reference, further 15 different basic variants of material models (5 x each of {visco-elasticity, plasticity, visco-plasticity}, respectively) are systematically explored. The presentation for each of these basic material models is a stand-alone account and follows in each case the same structure. On the one hand, this allows, in the true sense of a catalogue, to consult each of the basic material models separately without the need to refer to other basic material models. On the other hand, even though this somewhat repetitious concept may seem tedious, it allows to compare the formulation and resulting algorithmic setting of the various basic material models and thereby to uncover, in detail, similarities and differences. In particular, the response of each basic material model is analysed for the identical histories (Zig-Zag, Sine, Ramp) of prescribed strain and stress so as to clearly showcase and to contrast to each other the characteristics of the various modelling options.