Peridynamic Models For Crack Nucleation In Brittle And Quasi Brittle Materials

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Peridynamic Differential Operator for Numerical Analysis

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

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Book Synopsis Peridynamic Differential Operator for Numerical Analysis by : Erdogan Madenci

Download or read book Peridynamic Differential Operator for Numerical Analysis written by Erdogan Madenci and published by Springer. This book was released on 2019-01-17 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the peridynamic (PD) differential operator, which enables the nonlocal form of local differentiation. PD is a bridge between differentiation and integration. It provides the computational solution of complex field equations and evaluation of derivatives of smooth or scattered data in the presence of discontinuities. PD also serves as a natural filter to smooth noisy data and to recover missing data. This book starts with an overview of the PD concept, the derivation of the PD differential operator, its numerical implementation for the spatial and temporal derivatives, and the description of sources of error. The applications concern interpolation, regression, and smoothing of data, solutions to nonlinear ordinary differential equations, single- and multi-field partial differential equations and integro-differential equations. It describes the derivation of the weak form of PD Poisson’s and Navier’s equations for direct imposition of essential and natural boundary conditions. It also presents an alternative approach for the PD differential operator based on the least squares minimization. Peridynamic Differential Operator for Numerical Analysis is suitable for both advanced-level student and researchers, demonstrating how to construct solutions to all of the applications. Provided as supplementary material, solution algorithms for a set of selected applications are available for more details in the numerical implementation.

Handbook of Peridynamic Modeling

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

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Book Synopsis Handbook of Peridynamic Modeling by : Florin Bobaru

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

Peridynamic Theory and Its Applications

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

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Book Synopsis Peridynamic Theory and Its Applications by : Erdogan Madenci

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

Quasibrittle Fracture Mechanics and Size Effect

Author : Jia-Liang Le
Publisher : Oxford University Press
ISBN 13 : 0192846248
Total Pages : 332 pages
Book Rating : 4.1/5 (928 download)

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Book Synopsis Quasibrittle Fracture Mechanics and Size Effect by : Jia-Liang Le

Download or read book Quasibrittle Fracture Mechanics and Size Effect written by Jia-Liang Le and published by Oxford University Press. This book was released on 2021-11-19 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many modern engineering structures are composed of brittle heterogenous, or quasibrittle, materials. These include concrete, composites, tough ceramics, rocks, cold asphalt mixtures, and many brittle materials at the microscale. Understanding the failure behavior of these materials is of paramount importance for improving the resilience and sustainability of various engineering structures including civil infrastructure, aircraft, ships, military armors, and microelectronic devices. Designed for graduate and upper-level undergraduate university courses, this textbook provides a comprehensive treatment of quasibrittle fracture mechanics. It includes a concise but rigorous examination of linear elastic fracture mechanics, which is the foundation of all fracture mechanics. It also covers the fundamental concepts of nonlinear fracture mechanics, and introduces more advanced concepts such as triaxial stress state in the fracture process zone, nonlocal continuum models, and discrete computational models. Finally, the book features extensive discussion of the various practical applications of quasibrittle fracture mechanics across different structures and engineering disciplines, and throughout includes exercises and problems for students to test their understanding.

Peterson's Stress Concentration Factors

Author : Walter D. Pilkey
Publisher : John Wiley & Sons
ISBN 13 : 1119532523
Total Pages : 867 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Peterson's Stress Concentration Factors by : Walter D. Pilkey

Download or read book Peterson's Stress Concentration Factors written by Walter D. Pilkey and published by John Wiley & Sons. This book was released on 2020-01-07 with total page 867 pages. Available in PDF, EPUB and Kindle. Book excerpt: The bible of stress concentration factors—updated to reflect today's advances in stress analysis This book establishes and maintains a system of data classification for all the applications of stress and strain analysis, and expedites their synthesis into CAD applications. Filled with all of the latest developments in stress and strain analysis, this Fourth Edition presents stress concentration factors both graphically and with formulas, and the illustrated index allows readers to identify structures and shapes of interest based on the geometry and loading of the location of a stress concentration factor. Peterson's Stress Concentration Factors, Fourth Edition includes a thorough introduction of the theory and methods for static and fatigue design, quantification of stress and strain, research on stress concentration factors for weld joints and composite materials, and a new introduction to the systematic stress analysis approach using Finite Element Analysis (FEA). From notches and grooves to shoulder fillets and holes, readers will learn everything they need to know about stress concentration in one single volume. Peterson's is the practitioner's go-to stress concentration factors reference Includes completely revised introductory chapters on fundamentals of stress analysis; miscellaneous design elements; finite element analysis (FEA) for stress analysis Features new research on stress concentration factors related to weld joints and composite materials Takes a deep dive into the theory and methods for material characterization, quantification and analysis methods of stress and strain, and static and fatigue design Peterson's Stress Concentration Factors is an excellent book for all mechanical, civil, and structural engineers, and for all engineering students and researchers.

Peridynamic Modeling, Numerical Techniques, and Applications

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

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Book Synopsis Peridynamic Modeling, Numerical Techniques, and Applications by : Erkan Oterkus

Download or read book Peridynamic Modeling, Numerical Techniques, and Applications written by Erkan Oterkus and published by Elsevier. This book was released on 2021-04-29 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers with an incisive look at cutting-edge peridynamic modeling methods, numerical techniques, their applications, and potential future directions for the field. It starts with an introductory chapter authored by Stewart Silling, who originally developed peridynamics. It then looks at new concepts in the field, with chapters covering dual-horizon peridynamics, peridynamics for axisymmetric analysis, beam and plate models in peridynamics, coupled peridynamics and XFEM, peridynamics for dynamic fracture modeling, and more. From there, it segues into coverage of cutting-edge applications of peridynamics, exploring its biological applications, modeling at the nanoscale, peridynamics for composites delamination and damage in ceramics, and more, concluding with a chapter on the application of artificial intelligence and machine learning in peridynamics. Covers modeling methods, numerical techniques, applications, and future directions for the field Discusses techniques such as dual-horizon peridynamics, damage modeling using the phase-field approach, and contact analysis of rigid and deformable bodies with refined non-ordinary state-based peridynamics Looks at a range of different peridynamic applications such as ice modeling, fiber-reinforced composite modeling, modeling at nanoscale, and more

Dynamic Fracture

Author : K. Ravi-Chandar
Publisher : Elsevier
ISBN 13 : 0080472559
Total Pages : 265 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Dynamic Fracture by : K. Ravi-Chandar

Download or read book Dynamic Fracture written by K. Ravi-Chandar and published by Elsevier. This book was released on 2004-10-16 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic fracture in solids has attracted much attention for over a century from engineers as well as physicists due both to its technological interest and to inherent scientific curiosity. Rapidly applied loads are encountered in a number of technical applications. In some cases such loads might be applied deliberately, as for example in problems of blasting, mining, and comminution or fragmentation; in other cases, such dynamic loads might arise from accidental conditions. Regardless of the origin of the rapid loading, it is necessary to understand the mechanisms and mechanics of fracture under dynamic loading conditions in order to design suitable procedures for assessing the susceptibility to fracture. Quite apart from its repercussions in the area of structural integrity, fundamental scientific curiosity has continued to play a large role in engendering interest in dynamic fracture problems In-depth coverage of the mechanics, experimental methods, practical applications Summary of material response of different materials Discussion of unresolved issues in dynamic fracture

Imperfections in Crystalline Solids

Author : Wei Cai
Publisher : Cambridge University Press
ISBN 13 : 1316571718
Total Pages : 535 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Imperfections in Crystalline Solids by : Wei Cai

Download or read book Imperfections in Crystalline Solids written by Wei Cai and published by Cambridge University Press. This book was released on 2016-09-15 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides students with a complete working knowledge of the properties of imperfections in crystalline solids. Readers will learn how to apply the fundamental principles of mechanics and thermodynamics to defect properties in materials science, gaining all the knowledge and tools needed to put this into practice in their own research. Beginning with an introduction to defects and a brief review of basic elasticity theory and statistical thermodynamics, the authors go on to guide the reader in a step-by-step way through point, line, and planar defects, with an emphasis on their structural, thermodynamic, and kinetic properties. Numerous end-of-chapter exercises enable students to put their knowledge into practice, and with solutions for instructors and MATLAB® programs available online, this is an essential text for advanced undergraduate and introductory graduate courses in crystal defects, as well as being ideal for self-study.

Extended Finite Element Method

Author : Amir R. Khoei
Publisher : John Wiley & Sons
ISBN 13 : 1118457684
Total Pages : 600 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Extended Finite Element Method by : Amir R. Khoei

Download or read book Extended Finite Element Method written by Amir R. Khoei and published by John Wiley & Sons. This book was released on 2015-02-23 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples

The Combined Finite-Discrete Element Method

Author : Antonio A. Munjiza
Publisher : John Wiley & Sons
ISBN 13 : 0470020172
Total Pages : 348 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis The Combined Finite-Discrete Element Method by : Antonio A. Munjiza

Download or read book The Combined Finite-Discrete Element Method written by Antonio A. Munjiza and published by John Wiley & Sons. This book was released on 2004-04-21 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The combined finite discrete element method is a relatively new computational tool aimed at problems involving static and / or dynamic behaviour of systems involving a large number of solid deformable bodies. Such problems include fragmentation using explosives (e.g rock blasting), impacts, demolition (collapsing buildings), blast loads, digging and loading processes, and powder technology. The combined finite-discrete element method - a natural extension of both discrete and finite element methods - allows researchers to model problems involving the deformability of either one solid body, a large number of bodies, or a solid body which fragments (e.g. in rock blasting applications a more or less intact rock mass is transformed into a pile of solid rock fragments of different sizes, which interact with each other). The topic is gaining in importance, and is at the forefront of some of the current efforts in computational modeling of the failure of solids. * Accompanying source codes plus input and output files available on the Internet * Important applications such as mining engineering, rock blasting and petroleum engineering * Includes practical examples of applications areas Essential reading for postgraduates, researchers and software engineers working in mechanical engineering.

Probabilistic Prognostics and Health Management of Energy Systems

Author : Stephen Ekwaro-Osire
Publisher : Springer
ISBN 13 : 3319558528
Total Pages : 273 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Probabilistic Prognostics and Health Management of Energy Systems by : Stephen Ekwaro-Osire

Download or read book Probabilistic Prognostics and Health Management of Energy Systems written by Stephen Ekwaro-Osire and published by Springer. This book was released on 2017-04-25 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes the formulation of an efficient methodology that estimates energy system uncertainty and predicts Remaining Useful Life (RUL) accurately with significantly reduced RUL prediction uncertainty. Renewable and non-renewable sources of energy are being used to supply the demands of societies worldwide. These sources are mainly thermo-chemo-electro-mechanical systems that are subject to uncertainty in future loading conditions, material properties, process noise, and other design parameters.It book informs the reader of existing and new ideas that will be implemented in RUL prediction of energy systems in the future. The book provides case studies, illustrations, graphs, and charts. Its chapters consider engineering, reliability, prognostics and health management, probabilistic multibody dynamical analysis, peridynamic and finite-element modelling, computer science, and mathematics.

Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology

Author : Herbert F. Wang
Publisher : Princeton University Press
ISBN 13 : 140088568X
Total Pages : 301 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology by : Herbert F. Wang

Download or read book Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology written by Herbert F. Wang and published by Princeton University Press. This book was released on 2017-02-15 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of linear poroelasticity describes the interaction between mechanical effects and adding or removing fluid from rock. It is critical to the study of such geological phenomena as earthquakes and landslides and is important for numerous engineering projects, including dams, groundwater withdrawal, and petroleum extraction. Now an advanced text synthesizes in one place, with one notation, numerous classical solutions and applications of this highly useful theory. The introductory chapter recounts parallel developments in geomechanics, hydrogeology, and reservoir engineering that are unified by the tenets of poroelasticity. Next, the theory's constitutive and governing equations and their associated material parameters are described. These equations are then specialized for different simplifying geometries: unbounded problem domains, uniaxial strain, plane strain, radial symmetry, and axisymmetry. Example problems from geomechanics, hydrogeology, and petroleum engineering are incorporated throughout to illustrate poroelastic behavior and solution methods for a wide variety of real-world scenarios. The final chapter provides outlines for finite-element and boundary-element formulations of the field's governing equations. Whether read as a course of study or consulted as a reference by researchers and professionals, this volume's user-friendly presentation makes accessible one of geophysics' most important subjects and will do much to reduce poroelasticity's reputation as difficult to master.

Handbook of Peridynamic Modeling

Author : Florin Bobaru
Publisher : CRC Press
ISBN 13 : 1482230445
Total Pages : 587 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Handbook of Peridynamic Modeling by : Florin Bobaru

Download or read book Handbook of Peridynamic Modeling written by Florin Bobaru and published by CRC Press. This book was released on 2016-11-03 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook covers the peridynamic modeling of failure and damage. Peridynamics is a reformulation of continuum mechanics based on integration of interactions rather than spatial differentiation of displacements. The book extends the classical theory of continuum mechanics to allow unguided modeling of crack propagation/fracture in brittle, quasi-brittle, and ductile materials; autonomous transition from continuous damage/fragmentation to fracture; modeling of long-range forces within a continuous body; and multiscale coupling in a consistent mathematical framework.

Handbook of Nonlocal Continuum Mechanics for Materials and Structures

Author : George Z. Voyiadjis
Publisher : Springer
ISBN 13 : 9783319587271
Total Pages : 0 pages
Book Rating : 4.5/5 (872 download)

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Book Synopsis Handbook of Nonlocal Continuum Mechanics for Materials and Structures by : George Z. Voyiadjis

Download or read book Handbook of Nonlocal Continuum Mechanics for Materials and Structures written by George Z. Voyiadjis and published by Springer. This book was released on 2019-02-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ice-Structure Interaction

Author : Stephen J. Jones
Publisher : Springer Science & Business Media
ISBN 13 : 3642841007
Total Pages : 724 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Ice-Structure Interaction by : Stephen J. Jones

Download or read book Ice-Structure Interaction written by Stephen J. Jones and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: IUTAM-IAHR Symposium on Ice-Structure Interaction Professor Bez Tabarrok, Chairman of the Canadian National Committee (CNC) of the International Union of Theoretical and Applied Mechanics (IUTAM) invited Professor Derek Muggeridge to organize a symposium on ice structure interaction. Dr. Muggeridge readily agreed and prepared a proposal that was endorsed by the CNC and presented to the General Assembly Meeting of IUTAM for their consideration. This Assembly gave its approval and provided the local organizing committee with the names of individuals who were willing to serve on the Scientific Committee. Dr. Muggeridge became chairman of this committee and Dr. Ian Jordaan became co-chairman of this committee as well as chairman of the local organizing committee. The symposium followed the very successful previous meeting, chaired by Professor P. Tryde in Copenhagen, by ten years. Both symposia uti lized Springer-Verlag to publish their proceedings. The Faculty of En gineering and Applied Science at Memorial University of Newfoundland were particul{lXly pleased to host this prestigious symposium as it marked the twentieth anniversary of its Ocean Engineering Research Centre.

Acoustic Emission Testing

Author : Christian U. Grosse
Publisher : Springer Science & Business Media
ISBN 13 : 3540699724
Total Pages : 403 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Acoustic Emission Testing by : Christian U. Grosse

Download or read book Acoustic Emission Testing written by Christian U. Grosse and published by Springer Science & Business Media. This book was released on 2008-07-12 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acoustic Emission (AE) techniques have been studied in civil engineering for a long time. The techniques are recently going to be more and more applied to practical applications and to be standardized in the codes. This is because the increase of aging structures and disastrous damages due to recent earthquakes urgently demand for maintenance and retrofit of civil structures in service for example. It results in the need for the development of advanced and effective inspection techniques. Thus, AE techniques draw a great attention to diagnostic applications and in material testing. The book covers all levels from the description of AE basics for AE beginners (level of a student) to sophisticated AE algorithms and applications to real large-scale structures as well as the observation of the cracking process in laboratory specimen to study fracture processes.

The Variational Approach to Fracture

Author : Blaise Bourdin
Publisher : Springer Science & Business Media
ISBN 13 : 1402063954
Total Pages : 173 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Variational Approach to Fracture by : Blaise Bourdin

Download or read book The Variational Approach to Fracture written by Blaise Bourdin and published by Springer Science & Business Media. This book was released on 2008-04-19 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting original results from both theoretical and numerical viewpoints, this text offers a detailed discussion of the variational approach to brittle fracture. This approach views crack growth as the result of a competition between bulk and surface energy, treating crack evolution from its initiation all the way to the failure of a sample. The authors model crack initiation, crack path, and crack extension for arbitrary geometries and loads.