Innovative Numerical Approaches For Multi Field And Multi Scale Problems

Author : Kerstin Weinberg,Anna Pandolfi
Publisher : Springer
Page : 307 pages
File Size : 44,7 Mb
Release : 2016-06-24
Category : Science
ISBN : 9783319390222

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Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems by Kerstin Weinberg,Anna Pandolfi Pdf

This book provides readers with a detailed insight into diverse and exciting recent developments in computational solid mechanics, documenting new perspectives and horizons. The topics addressed cover a wide range of current research, from computational materials modeling, including crystal plasticity, micro-structured materials, and biomaterials, to multi-scale simulations of multi-physics phenomena. Particular emphasis is placed on pioneering discretization methods for the solution of coupled non-linear problems at different length scales. The book, written by leading experts, reflects the remarkable advances that have been made in the field over the past decade and more, largely due to the development of a sound mathematical background and efficient computational strategies. The contents build upon the 2014 IUTAM symposium celebrating the 60th birthday of Professor Michael Ortiz, to whom this book is dedicated. His work has long been recognized as pioneering and is a continuing source of inspiration for many researchers. It is hoped that by providing a "taste" of the field of computational mechanics, the book will promote its popularity among the mechanics and physics communities.

Author : Tadele Mengesha,Abner J. Salgado
Publisher : Springer Nature
Page : 325 pages
File Size : 50,9 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.

Author : Harald van Brummelen,Alessandro Corsini,Simona Perotto,Gianluigi Rozza
Publisher : Springer Nature
Page : 358 pages
File Size : 43,5 Mb
Release : 2020-02-22
Category : Mathematics
ISBN : 9783030307059

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Numerical Methods for Flows by Harald van Brummelen,Alessandro Corsini,Simona Perotto,Gianluigi Rozza Pdf

This book includes selected contributions on applied mathematics, numerical analysis, numerical simulation and scientific computing related to fluid mechanics problems, presented at the FEF-“Finite Element for Flows” conference, held in Rome in spring 2017. Written by leading international experts and covering state-of-the-art topics in numerical simulation for flows, it provides fascinating insights into and perspectives on current and future methodological and numerical developments in computational science. As such, the book is a valuable resource for researchers, as well as Masters and Ph.D students.

Author : Michael Hintermüller,José Francisco Rodrigues
Publisher : Springer Nature
Page : 396 pages
File Size : 50,5 Mb
Release : 2019-11-27
Category : Mathematics
ISBN : 9783030331160

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Topics in Applied Analysis and Optimisation by Michael Hintermüller,José Francisco Rodrigues Pdf

This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis.

Author : Vinh Phu Nguyen,Alban de Vaucorbeil,Stephane Bordas
Publisher : Springer Nature
Page : 475 pages
File Size : 48,7 Mb
Release : 2023-04-11
Category : Technology & Engineering
ISBN : 9783031240706

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The Material Point Method by Vinh Phu Nguyen,Alban de Vaucorbeil,Stephane Bordas Pdf

This book provides an introduction to the fundamental theory, practical implementation, and core and emerging applications of the material point method (MPM) and its variants. The MPM combines the advantages of both finite element analysis (FEM) and meshless/meshfree methods (MMs) by representing the material by a set of particles overlaid on a background mesh that serves as a computational scratchpad. The book shows how MPM allows a robust, accurate, and efficient simulation of a wide variety of material behaviors without requiring overly complex implementations. MPM and its variants have been shown to be successful in simulating a large number of high deformation and complicated engineering problems such as densification of foam, sea ice dynamics, landslides, and energetic device explosions, to name a few, and have recently found applications in the movie industry. It is hoped that this comprehensive exposition on MPM variants and their applications will not only provide an opportunity to re-examine previous contributions, but also to re-organize them in a coherent fashion and in anticipation of new advances. Sample algorithms for the solutions of benchmark problems are provided online so that researchers and graduate students can modify these algorithms and develop their own solution algorithms for specific problems. The goal of this book is to provide students and researchers with a theoretical and practical knowledge of the material point method to analyze engineering problems, and it may help initiate and promote further in-depth studies on the subjects discussed.

Author : Daniel S. Balint,Stephane P.A. Bordas
Publisher : Academic Press
Page : 410 pages
File Size : 48,6 Mb
Release : 2020-10-23
Category : Science
ISBN : 9780128209905

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Advances in Applied Mechanics by Daniel S. Balint,Stephane P.A. Bordas Pdf

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

Author : James Fern,Alexander Rohe,Kenichi Soga,Eduardo Alonso
Publisher : CRC Press
Page : 439 pages
File Size : 44,7 Mb
Release : 2019-01-30
Category : Technology & Engineering
ISBN : 9780429648021

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The Material Point Method for Geotechnical Engineering by James Fern,Alexander Rohe,Kenichi Soga,Eduardo Alonso Pdf

This practical guide provides the best introduction to large deformation material point method (MPM) simulations for geotechnical engineering. It provides the basic theory, discusses the different numerical features used in large deformation simulations, and presents a number of applications -- providing references, examples and guidance when using MPM for practical applications. MPM covers problems in static and dynamic situations within a common framework. It also opens new frontiers in geotechnical modelling and numerical analysis. It represents a powerful tool for exploring large deformation behaviours of soils, structures and fluids, and their interactions, such as internal and external erosion, and post-liquefaction analysis; for instance the post-failure liquid-like behaviours of landslides, penetration problems such as CPT and pile installation, and scouring problems related to underwater pipelines. In the recent years, MPM has developed enough for its practical use in industry, apart from the increasing interest in the academic world.

Author : Ted Belytschko,Jason S. Chen,Michael Hillman
Publisher : John Wiley & Sons
Page : 357 pages
File Size : 49,8 Mb
Release : 2024-02-27
Category : Mathematics
ISBN : 9780470848005

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Meshfree and Particle Methods by Ted Belytschko,Jason S. Chen,Michael Hillman Pdf

Provides thorough coverage of essential concepts and state-of-the-art developments in the field Meshfree and Particle Methods is the first book of its kind to combine comprehensive, up-to-date information on the fundamental theories and applications of meshfree methods with systematic guidance on practical coding implementation. Broad in scope and content, this unique volume provides readers with the knowledge necessary to perform research and solve challenging problems in nearly all fields of science and engineering using meshfree computational techniques. The authors provide detailed descriptions of essential issues in meshfree methods, as well as specific techniques to address them, while discussing a wide range of subjects and use cases. Topics include approximations in meshfree methods, nonlinear meshfree methods, essential boundary condition enforcement, quadrature in meshfree methods, strong form collocation methods, and more. Throughout the book, topics are integrated with descriptions of computer implementation and an open-source code (with a dedicated chapter for users) to illustrate the connection between the formulations discussed in the text and their real-world implementation and application. This authoritative resource: Explains the fundamentals of meshfree methods, their constructions, and their unique capabilities as compared to traditional methods Features an overview of the open-source meshfree code RKPM2D, including code and numerical examples Describes all the variational concepts required to solve scientific and engineering problems using meshfree methods such as Nitsche’s method and the Lagrange multiplier method Includes comprehensive reviews of essential boundary condition enforcement, quadrature in meshfree methods, and nonlinear aspects of meshfree analysis Discusses other Galerkin meshfree methods, strong form meshfree methods, and their comparisons Meshfree and Particle Methods: Fundamentals and Applications is the perfect introduction to meshfree methods for upper-level students in advanced numerical analysis courses, and is an invaluable reference for professionals in mechanical, aerospace, civil, and structural engineering, and related fields, who want to understand and apply these concepts directly, or effectively use commercial and other production meshfree and particle codes in their work.

Author : Stephane P.A. Bordas
Publisher : Academic Press
Page : 330 pages
File Size : 48,5 Mb
Release : 2021-11-23
Category : Science
ISBN : 9780323885201

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Advances in Applied Mechanics by Stephane P.A. Bordas Pdf

Advances in Applied Mechanics, Volume 54 in this ongoing series, highlights new advances in the field, with this new volume presenting interesting chapters on Advanced geometry representations and tools for microstructural and multiscale modelling, Material Point Method: overview and challenges ahead, From Experimental Modeling of Shotcrete to Numerical Simulations of Tunneling, Mechanics of Hydrogel-Based Bioprinting: From 3D to 4D, and more. 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

Author : Ivan G. Graham,Thomas Y. Hou,Omar Lakkis,Robert Scheichl
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 49,8 Mb
Release : 2012-01-05
Category : Mathematics
ISBN : 9783642220616

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Numerical Analysis of Multiscale Problems by Ivan G. Graham,Thomas Y. Hou,Omar Lakkis,Robert Scheichl Pdf

The 91st London Mathematical Society Durham Symposium took place from July 5th to 15th 2010, with more than 100 international participants attending. The Symposium focused on Numerical Analysis of Multiscale Problems and this book contains 10 invited articles from some of the meeting's key speakers, covering a range of topics of contemporary interest in this area. Articles cover the analysis of forward and inverse PDE problems in heterogeneous media, high-frequency wave propagation, atomistic-continuum modeling and high-dimensional problems arising in modeling uncertainty. Novel upscaling and preconditioning techniques, as well as applications to turbulent multi-phase flow, and to problems of current interest in materials science are all addressed. As such this book presents the current state-of-the-art in the numerical analysis of multiscale problems and will be of interest to both practitioners and mathematicians working in those fields.

Author : J. Michael Martinez
Publisher : CRC Press
Page : 1227 pages
File Size : 47,7 Mb
Release : 2013-06-20
Category : Law
ISBN : 9780415633185

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American Environmentalism by J. Michael Martinez Pdf

Protecting the natural environment and promoting sustainability have become important objectives, but achieving such goals presents myriad challenges for even the most committed environmentalist. American Environmentalism: Philosophy, History, and Public Policy examines whether competing interests can be reconciled while developing consistent, coherent, effective public policy to regulate uses and protection of the natural environment without destroying the national economy. It then reviews a range of possible solutions. The book delves into key normative concepts that undergird American perspectives on nature by providing an overview of philosophical concepts found in the western intellectual tradition, the presuppositions inherent in neoclassical economics, and anthropocentric (human-centered) and biocentric (earth-centered) positions on sustainability. It traces the evolution of attitudes about nature from the time of the Ancient Greeks through Europeans in the Middle Ages and the Renaissance, the Enlightenment and the American Founders, the nineteenth and twentieth centuries, and up to the present. Building on this foundation, the author examines the political landscape as non-governmental organizations (NGOs), industry leaders, and government officials struggle to balance industrial development with environmental concerns. Outrageous claims, silly misrepresentations, bogus arguments, absurd contentions, and overblown prophesies of impending calamities are bandied about by many parties on all sides of the debate—industry spokespeople, elected representatives, unelected regulators, concerned citizens, and environmental NGOs alike. In lieu of descending into this morass, the author circumvents the silliness to explore the crucial issues through a more focused, disciplined approach. Rather than engage in acrimonious debate over minutiae, as so often occurs in the context of "green" claims, he recasts the issue in a way that provides a cohesive look at all sides. This effort may be quixotic, but how else to cut the Gordian knot?

Author : R.J. Rocca,R.M. Flores,A.O. Sfriso
Publisher : IOS Press
Page : 440 pages
File Size : 48,8 Mb
Release : 2015-12-11
Category : Technology & Engineering
ISBN : 9781614996057

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Integrating Innovations of Rock Mechanics by R.J. Rocca,R.M. Flores,A.O. Sfriso Pdf

In November 2015, Buenos Aires, Argentina became the location of several important events for geo-professionals, with the simultaneous holding of the 8th South American Congress on Rock Mechanics (SCRM), the 15th Pan-American Conference on Soil Mechanics and Geotechnical Engineering (XV PCSMGE), and the 6th International Symposium on Deformation Characteristics of Geomaterials, as well as the 22nd Argentinean Congress of Geotechnical Engineering (CAMSIGXXII). This synergy brought together international experts, researchers, academics, professionals and geo-engineering companies in a unique opportunity to exchange ideas and discuss current and future practices in the areas of soil mechanics and rock mechanics, and their applications in civil, energy, environmental, and mining engineering. This book presents the proceedings of the 8th South American Congress on Rock Mechanics (SCRM). Topics covered include rock mechanics, rock engineering, natural resources, mining, mechanics, geology and engineering. Approximately 60% of the contributions are in English, and the remaining 40% of the contributions are in either Spanish or Portuguese.

Author : Mohamed Jebahi,Frédéric Dau,Jean-Luc Charles,Ivan Iordanoff
Publisher : John Wiley & Sons
Page : 216 pages
File Size : 53,7 Mb
Release : 2015-10-02
Category : Technology & Engineering
ISBN : 9781119119296

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Discrete-continuum Coupling Method to Simulate Highly Dynamic Multi-scale Problems by Mohamed Jebahi,Frédéric Dau,Jean-Luc Charles,Ivan Iordanoff Pdf

Complex behavior models (plasticity, crack, visco-elascticity) are facing several theoretical difficulties in determining the behavior law at the continuous (macroscopic) scale. When homogenization fails to give the right behavior law, a solution is to simulate the material at a mesoscale using the discrete element model (DEM) in order to directly simulate a set of discrete properties that are responsible for the macroscopic behavior. Originally, the discrete element model was developed for granular material. This book, the second in the Discrete Element Model and Simulation of Continuous Materials Behavior set of books, shows how to choose the adequate coupling parameters to avoid spurious wave reflection and to allow the passage of all the dynamic information both from the fine to the coarse model and vice versa. The authors demonstrate the coupling method to simulate a highly nonlinear dynamical problem: the laser shock processing of silica glass.

Author : Malena I. Español,Marta Lewicka,Lucia Scardia,Anja Schlömerkemper
Publisher : Springer Nature
Page : 514 pages
File Size : 50,5 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.

Author : Simon Chatelin,Javier Brum,Philippe Garteiser,Jean-Luc Gennisson,Jing Guo,Najat Salameh
Publisher : Frontiers Media SA
Page : 235 pages
File Size : 46,5 Mb
Release : 2022-11-23
Category : Science
ISBN : 9782832506806

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Innovative Developments in Multi-Modality Elastography by Simon Chatelin,Javier Brum,Philippe Garteiser,Jean-Luc Gennisson,Jing Guo,Najat Salameh Pdf