Variational Approach To Fracture Mechanics With Plasticity

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Variational Approach To Fracture Mechanics With Plasticity
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Author : Roberto Alessi
language : en
Publisher:
Release Date : 2013
Variational Approach To Fracture Mechanics With Plasticity written by Roberto Alessi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
A Variational Approach To Fracture And Other Inelastic Phenomena
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Author : Gianpietro Del Piero
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-30
A Variational Approach To Fracture And Other Inelastic Phenomena written by Gianpietro Del Piero and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-30 with Science categories.
This book exposes a number of mathematical models for fracture of growing difficulty. All models are treated in a unified way, based on incremental energy minimization. They differ from each other by the assumptions made on the inelastic part of the total energy, here called the "cohesive energy". Each model describes a specific aspect of material response, and particular care is devoted to underline the correspondence of each model to the experiments. The content of the book is a re-elaboration of the lectures delivered at the First Sperlonga Summer School on Mechanics and Engineering Sciences in September 2011. In the year and a half elapsed after the course, the material has been revised and enriched with new and partially unpublished results. Significant additions have been introduced in the occasion of the course "The variational approach to fracture and other inelastic phenomena", delivered at SISSA, Trieste, in March 2013. The Notes reflect a research line carried on by the writer over the years, addressed to a comprehensive description of the many aspects of the phenomenon of fracture, and to its relations with other phenomena, such as the formation of microstructure and the changes in the material’s strength induced by plasticity and damage. Reprinted from the Journal of Elasticity, volume 112, issue 1, 2013.
Multiscale And Multiphysics Modelling For Advanced And Sustainable Materials
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Author : Patrizia Trovalusci
language : en
Publisher: Springer Nature
Release Date : 2025-06-25
Multiscale And Multiphysics Modelling For Advanced And Sustainable Materials written by Patrizia Trovalusci and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-25 with Science categories.
This book offers the proceedings of Euromech colloquium 642, which wanted to provide a forum to present and debate several advanced computational, experimental, and analytical methods for studying the behaviour of complex materials and structures. The goal was to gather researchers (engineers, physicists, and mathematicians) specialized in multiscale material modelling for simulating the mechanics of solids and the physics of matter with the final aim of bridging the gap between solids and structural mechanics and material science in the modelling of “complex” materials. Both computational and experimental aspects play a central role, and talks have also focused on a broad range of aspects either related to the material modelling or the structural one. Various types of complex materials, made of very different constituents, are used nowadays in engineering practice: particle or fibrous composites; laminates; green composites with natural fillers and industrial or urban recyclable materials; nanomaterials; architecture material; in general complex multiphase materials with a complex internal structure including: porosity, reinforcement in the form of short fibres and particles of various properties, shapes, and sizes, filled in different media. It is widely recognized that important macroscopic properties such as the macroscopic stiffness and strength are governed by multiphysics processes (e.g. damage due to heat transfer or fluid penetration, crack propagation under thermal shock in ceramic/metallic matrix composites, etc.) which occur at one to several scales below the level of observation. A thorough understanding of how these processes influence the reduction of stiffness and strength is a key to the analysis of existing, and the design of improved, complex materials. The colloquium was centred on “Multiscale and Multiphysics Modeling of Complex Materials”, with attention to the constitutive aspects concerning complex materials, so defined for the presence of internal structure at different scales (nano/micro/meso) and nonlinear constitutive behaviour (plasticity, damage, fracture, etc.).
Advances In Applied Mechanics
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Author : Daniel S. Balint
language : en
Publisher: Academic Press
Release Date : 2020-10-23
Advances In Applied Mechanics written by Daniel S. Balint and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-23 with Science categories.
Advances in Applied Mechanics, Volume 53 in this ongoing series, highlights new advances in the field, with this new volume presenting interesting chapters on Phase field modelling of fracture, Advanced geometry representations and tools for microstructural and multiscale modelling, The material point method: the past and the future, From Experimental Modeling of Shotcrete to Large Scale Numerical Simulations of Tunneling, and Material point method after 25 years: theory, implementation, applications. - Provides the authority and expertise of leading contributors from an international board of authors - Presents the latest release in the Advances in Applied Mechanics series
Analysis And Computation Of Microstructure In Finite Plasticity
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Author : Sergio Conti
language : en
Publisher: Springer
Release Date : 2015-04-23
Analysis And Computation Of Microstructure In Finite Plasticity written by Sergio Conti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-23 with Science categories.
This book addresses the need for a fundamental understanding of the physical origin, the mathematical behavior and the numerical treatment of models which include microstructure. Leading scientists present their efforts involving mathematical analysis, numerical analysis, computational mechanics, material modelling and experiment. The mathematical analyses are based on methods from the calculus of variations, while in the numerical implementation global optimization algorithms play a central role. The modeling covers all length scales, from the atomic structure up to macroscopic samples. The development of the models ware guided by experiments on single and polycrystals and results will be checked against experimental data.
Modeling In Engineering Using Innovative Numerical Methods For Solids And Fluids
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Author : Laura De Lorenzis
language : en
Publisher: Springer Nature
Release Date : 2020-02-08
Modeling In Engineering Using Innovative Numerical Methods For Solids And Fluids written by Laura De Lorenzis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-08 with Science categories.
The book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also presents innovative and promising simulation methods, including the fundamentals of these methods, as well as advanced topics and complex applications. Further, the book explores how numerical simulations can significantly reduce the number of time-consuming and expensive experiments required, and can support engineering decisions by providing data that would be very difficult, if not impossible, to obtain experimentally. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations; fictitious domain methods; phase field models; computational fluid dynamics based on modern finite volume schemes; hybridizable discontinuous Galerkin methods; and non-intrusive coupling methods for structural models.
Innovations In The Analysis And Design Of Marine Structures
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Author : Yordan Garbatov
language : en
Publisher: CRC Press
Release Date : 2025-05-09
Innovations In The Analysis And Design Of Marine Structures written by Yordan Garbatov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-09 with Technology & Engineering categories.
Innovations in the Analysis and Design of Marine Structures is a collection of papers presented at MARSTRUCT 2025, the 10th International Conference on Marine Structures (MARSTRUCT 2025, Lisbon, Portugal, 20-22 May 2025). The contributions cover a wide range of topics, including: Loads and load effects Strength assessment Experimental analysis of structures Materials and fabrication of structures Structural design and optimization Structural reliability, and safety Innovations in the Analysis and Design of Marine Structures is essential reading for academics, engineers and professionals involved in the design of marine and offshore structures. The Proceedings in Marine Technology and Ocean Engineering series is devoted to the publication of proceedings of peer-reviewed international conferences dealing with various aspects of ‘Marine Technology and Ocean Engineering’. The Series includes the proceedings of the following conferences: the Marine Structures (MARSTRUCT) Conferences, the Maritime Technology (MARTECH) Conferences, the Renewable Energies Offshore (RENEW) Conferences, the Collision and Grounding of Ships and Offshore Structures (ICCGS) Conferences, and the International Maritime Association of the Mediterranean (IMAM) Conferences. The ‘Marine Technology and Ocean Engineering’ series is also open to new conferences that cover topics on the sustainable exploration and exploitation of marine resources in various fields, such as maritime transport and ports, usage of the ocean including coastal areas, nautical activities, the exploration and exploitation of mineral resources, the protection of the marine environment and its resources, and risk analysis, safety and reliability. The aim of the series is to stimulate advanced education and training through the wide dissemination of the results of scientific research.
Nbs Special Publication
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Author :
language : en
Publisher:
Release Date : 1968
Nbs Special Publication written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Physical measurements categories.
Unified Plasticity For Engineering Applications
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Author : Sol R. Bodner
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Unified Plasticity For Engineering Applications written by Sol R. Bodner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Considerably simplified models of macroscopic material behavior, such as the idealization for metals of elastic-time independent plastic response with a yield (onset) criterion, have served the engineering profession well for many years. They are still basic to the design and analysis of most structural applications. In the need to use materials more effectively, there are circumstances where those traditional models are not adequate, and constitutive laws that are more physically realistic have to be employed. This is especially relevant to conditions where the inherent time dependence of inelastic deformations, referred to as "viscoplasticity", is pronounced such as at elevated temperatures and for high strain rates. Unified theories of elastic-viscoplastic material behavior, which are primarily applicable for metals and metallic alloys, combine all aspects of inelastic response into a set of time dependent equations with a single inelastic strain rate variable. For such theories, creep under constant stress, stress relaxation under constant strain, and stress-strain relations at constant rates are each special cases of a general formulation. Those equations mayor may not include a yield criterion, but models which do not separate a fully elastic region from the overall response could be considered "unified" in a more general sense. The theories have reached a level of development and maturity where they are being used in a number of sophisticated engineering applications. However, they have not yet become a standard method of material representation for general engineering practice.
Micromechanics Of Fracture In Generalized Spaces
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Author : Ihar Alaksandravich Miklashevich
language : en
Publisher: Elsevier
Release Date : 2008-01-08
Micromechanics Of Fracture In Generalized Spaces written by Ihar Alaksandravich Miklashevich and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-08 with Technology & Engineering categories.
By the detailed analysis of the modern development of the mechanics of deformable media can be found the deep internal contradiction. From the one hand it is declared that the deformation and fracture are the hierarchical processes which are linked and unite several structural and scale levels. From the other hand the sequential investigation of the hierarchy of the deformation and destruction is not carried out. The book's aim is filling this mentioned gap and investigates the hot topic of the fracture of non-ideal media. From the microscopic point of view in the book we study the hierarchy of the processes in fractured solid in the whole diapason of practically used scales. According the multilevel hierarchical system ideology under "microscopic we understand taking into account the processes on the level lower than relative present strata. From hierarchical point of view the conception of "microscopic fracture can be soundly applied to the traditionally macroscopic area, namely geomechanics or main crack propagation. At the same time microscopic fracture of the nanomaterials can be well-grounded too. This ground demands the investigation on the level of inter-atomic interaction and quantum mechanical description. The important feature of the book is the application of fibred manifolds and non-Euclidean spaces to the description of the processes of deformation and fracture in inhomogeneous and defected continua. The non-Euclidean spaces for the dislocations' description were introduced by J.F. Nye, B.A. Bilby, E. Kröner, K. Kondo in fiftieth. In last decades this necessity was shown in geomechanics and theory of seismic signal propagation. The applications of non-Euclidean spaces to the plasticity allow us to construct the mathematically satisfying description of the processes. Taking into account this space expansion the media with microstructure are understood as Finsler space media. The bundle space technique is used for the description of the influence of microstructure on the continuum metrics. The crack propagation is studied as a process of movement in Finsler space. Reduction of the general description to the variational principle in engineering case is investigated and a new result for the crack trajectory in inhomogeneous media is obtained. Stability and stochastization of crack trajectory in layered composites is investigated. The gauge field is introduced on the basis of the structure representation of Lie group generated by defects without any additional assumption. Effective elastic and non-elastic media for nanomaterials and their geometrical description are discussed. The monograph provides the basis for more detailed and exact description of real processes in the material. The monograph will be interesting for the researchers in the field of fracture mechanics, solid state physics and geomechanics. It can be used as well by the last year students wishing to become more familiar with some modern approaches to the physics of fracture and continual theory of dislocations. In Supplement, written by V.V.Barkaline, quantum mechanical concept of physical body wholeness according to H. Primas is discussed with relation to fracture. Role of electronic subsystem in fracture dynamics in adiabatic and non-adiabatic approximations is clarified. Potential energy surface of ion subsystem accounting electron contribution is interpreted as master parameter of fracture dynamics. Its features and relation to non-euclidean metrics of defected solid body is discussed. Quantum mechanical criteria of fracture arising are proposed.