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Phase Field Modeling Of Dynamic Brittle Fracture
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Book Synopsis Approximation of Free-Discontinuity Problems by : Andrea Braides
Download or read book Approximation of Free-Discontinuity Problems written by Andrea Braides and published by Springer Science & Business Media. This book was released on 1998-09-17 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and researchers in calculus of variations, interested in approximation problems with possible applications.
Book Synopsis Phase-field Modeling of Dynamic Brittle Fracture by : Alexander Schlüter
Download or read book Phase-field Modeling of Dynamic Brittle Fracture written by Alexander Schlüter and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis The Scaled Boundary Finite Element Method by : Chongmin Song
Download or read book The Scaled Boundary Finite Element Method written by Chongmin Song and published by John Wiley & Sons. This book was released on 2018-06-19 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.
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
Download or read book Spall Fracture written by Tarabay Antoun and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shock-induced dynamic fracture of solids is of practical importance in many areas of materials science, chemical physics, engineering, and geophysics. This book, by an international roster of authors, comprises a systematic account of the current state of research in the field, integrating the large amount of work done in the former Soviet Union with the work done in the West. Topics covered include: Wave propagation, experimental techniques and measurements, spallation of materials of different classes (metals, ceramics, glasses, polymers), constitutive models of fracture processes, and computer simulations.
Book Synopsis Phase-field modelling of dynamic brittle fracture by : Alexander Schlüter
Download or read book Phase-field modelling of dynamic brittle fracture written by Alexander Schlüter and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Methods for Fracture by : Timon Rabczuk
Download or read book Computational Methods for Fracture written by Timon Rabczuk and published by MDPI. This book was released on 2019-10-28 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a collection of 17 scientific papers about the computational modeling of fracture. Some of the manuscripts propose new computational methods and/or how to improve existing cutting edge methods for fracture. These contributions can be classified into two categories: 1. Methods which treat the crack as strong discontinuity such as peridynamics, scaled boundary elements or specific versions of the smoothed finite element methods applied to fracture and 2. Continuous approaches to fracture based on, for instance, phase field models or continuum damage mechanics. On the other hand, the book also offers a wide range of applications where state-of-the-art techniques are employed to solve challenging engineering problems such as fractures in rock, glass, concrete. Also, larger systems such as fracture in subway stations due to fire, arch dams, or concrete decks are studied.
Book Synopsis Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids by : Laura De Lorenzis
Download or read book Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids written by Laura De Lorenzis and published by Springer Nature. This book was released on 2020-02-08 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Composite Materials for Extreme Loading by : Shankar Krishnapillai
Download or read book Composite Materials for Extreme Loading written by Shankar Krishnapillai and published by Springer Nature. This book was released on 2021-11-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the select proceedings of the Indo-Korean workshop on Multi Functional Materials for Extreme Loading, 2021. The book mainly focuses on the very important emerging area of response to extreme loading of composites as well as other materials involving characterization studies, failure mechanisms conditions under quasi static to high strain rates, impact loads, blast loads, crash analysis, and other thermal and fatigue loads. The book also includes other important areas related to special materials and techniques such as 3D printing, nano-composites, multifunctional materials, and high temperature materials. The contents of this book are useful for beginners, industrial designers, academic researchers, and graduate students.
Book Synopsis Dynamic Fracture of Piezoelectric Materials by : Petia Dineva
Download or read book Dynamic Fracture of Piezoelectric Materials written by Petia Dineva and published by Springer Science & Business Media. This book was released on 2014-01-30 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Fracture of Piezoelectric Materials focuses on the Boundary Integral Equation Method as an efficient computational tool. The presentation of the theoretical basis of piezoelectricity is followed by sections on fundamental solutions and the numerical realization of the boundary value problems. Two major parts of the book are devoted to the solution of problems in homogeneous and inhomogeneous solids. The book includes contributions on coupled electro-mechanical models, computational methods, its validation and the simulation results, which reveal different effects useful for engineering design and practice. The book is self-contained and well-illustrated, and it serves as a graduate-level textbook or as extra reading material for students and researchers.
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.
Book Synopsis Constitutive Models for Rubber XI by : Bertrand Huneau
Download or read book Constitutive Models for Rubber XI written by Bertrand Huneau and published by CRC Press. This book was released on 2019-06-14 with total page 1319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constitutive Models for Rubber XI is a comprehensive compilation of both the oral and poster contributions to the European Conference on Constitutive Models for Rubber. This 11th edition, held in Nantes (France) 25-27th June 2019, is the occasion to celebrate the 20th anniversary of the ECCMR series. Around 100 contributions reflect the state-of-the-art in the mechanics of elastomers. They cover the fields of: Material testing Constitutive modelling and finite element implementation Micromechanical aspects, and Durability (failure, fatigue and ageing) Constitutive Models for Rubber XI is of interest for developers and researchers involved in the rubber processing and CAE software industries, as well as for academics in nearly all disciplines of elastomer mechanics and technology.
Book Synopsis Isogeometric Analysis of Phase-field Models for Dynamic Brittle and Ductile Fracture by : Michael Johns Borden
Download or read book Isogeometric Analysis of Phase-field Models for Dynamic Brittle and Ductile Fracture written by Michael Johns Borden and published by . This book was released on 2012 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: To date, efforts to model fracture and crack propagation have focused on two broad approaches: discrete and continuum damage descriptions. The discrete approach incorporates a discontinuity into the displacement field that must be tracked and updated. Examples of this approach include XFEM, element deletion, and cohesive zone models. The continuum damage, or smeared crack, approach incorporates a damage parameter into the model that controls the strength of the material. An advantage of this approach is that it does not require interface tracking since the damage parameter varies continuously over the domain. An alternative approach is to use a phase-field to describe crack propagation. In the phase-field approach to modeling fracture the problem is reformulated in terms of a coupled system of partial differential equations. A continuous scalar-valued phase-field is introduced into the model to indicate whether the material is in the unfractured or fractured ''phase''. The evolution of the phase-field is governed by a partial differential equation that includes a driving force that is a function of the strain energy of the body in question. This leads to a coupling between the momentum equation and the phase-field equation. The phase-field model also includes a length scale parameter that controls the width of the smooth approximation to the discrete crack. This allows discrete cracks to be modeled down to any desired length scale. Thus, this approach incorporates the strengths of both the discrete and continuum damage models, i.e., accurate modeling of individual cracks with no interface tracking. The research presented in this dissertation focuses on developing phase-field models for dynamic fracture. A general formulation in terms of the usual balance laws supplemented by a microforce balance law governing the evolution of the phase-field is derived. From this formulation, small-strain brittle and large-deformation ductile models are then derived. Additionally, a fourth-order theory for the phase-field approximation of the crack path is postulated. Convergence and approximation results are obtained for the proposed theories. In this work, isogeometric analysis, and particularly T-splines, plays an important role by providing a smooth basis that allows local refinement. Several numerical simulations have been performed to evaluate the proposed theories. These results show that phase-field models are a powerful tool for predicting fracture.
Book Synopsis Programming Phase-Field Modeling by : S. Bulent Biner
Download or read book Programming Phase-Field Modeling written by S. Bulent Biner and published by Springer. This book was released on 2017-01-25 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a fast-track pathway to numerical implementation of phase-field modeling—a relatively new paradigm that has become the method of choice for modeling and simulation of microstructure evolution in materials. It serves as a cookbook for the phase-field method by presenting a collection of codes that act as foundations and templates for developing other models with more complexity. Programming Phase-Field Modeling uses the Matlab/Octave programming package, simpler and more compact than other high-level programming languages, providing ease of use to the widest audience. Particular attention is devoted to the computational efficiency and clarity during development of the codes, which allows the reader to easily make the connection between the mathematical formulism and the numerical implementation of phase-field models. The background materials provided in each case study also provide a forum for undergraduate level modeling-simulations courses as part of their curriculum.
Book Synopsis Design and Modeling of Mechanical Systems—III by : Mohamed Haddar
Download or read book Design and Modeling of Mechanical Systems—III written by Mohamed Haddar and published by Springer. This book was released on 2017-11-25 with total page 1225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a collection of original peer-reviewed contributions presented at the 7th International Congress on Design and Modeling of Mechanical Systems (CMSM’2017), held in Hammamet, Tunisia, from the 27th to the 29th of March 2017. It reports on both research findings, innovative industrial applications and case studies concerning mechanical systems and related to modeling and analysis of materials and structures, multiphysics methods, nonlinear dynamics, fluid structure interaction and vibroacoustics, design and manufacturing engineering. Continuing on the tradition of the previous editions, this proceedings offers a broad overview on the state-of-the art in the field and a useful resource for academic and industry specialists active in the field of design and modeling of mechanical systems. CMSM’2017 was jointly organized by two leading Tunisian research laboratories: the Mechanical, Modeling and Manufacturing Laboratory of the National Engineering School of Sfax and the Mechanical Engineering Laboratory of the National Engineering School of Monastir..
Book Synopsis Dynamic Failure of Materials and Structures by : Arun Shukla
Download or read book Dynamic Failure of Materials and Structures written by Arun Shukla and published by Springer. This book was released on 2014-09-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Failure of Materials and Structures discusses the topic of dynamic loadings and their effect on material and structural failure. Since dynamic loading problems are very difficult as compared to their static counterpart, very little information is currently available about dynamic behavior of materials and structures. Topics covered include the response of both metallic as well as polymeric composite materials to blast loading and shock loadings, impact loadings and failure of novel materials under more controlled dynamic loads. These include response of soft materials that are important in practical use but have very limited information available on their dynamic response. Dynamic fragmentation, which has re-emerged in recent years has also been included. Both experimental as well as numerical aspects of material and structural response to dynamic loads are discussed. Written by several key experts in the field, Dynamic Failure of Materials and Structures will appeal to graduate students and researchers studying dynamic loadings within mechanical and civil engineering, as well as in physics and materials science.
