Microstructured Materials Inverse Problems

Author : Jaan Janno,Jüri Engelbrecht
Publisher : Springer
Page : 162 pages
File Size : 40,8 Mb
Release : 2011-08-31
Category : Mathematics
ISBN : 3642215858

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Microstructured Materials: Inverse Problems by Jaan Janno,Jüri Engelbrecht Pdf

Complex, microstructured materials are widely used in industry and technology and include alloys, ceramics and composites. Focusing on non-destructive evaluation (NDE), this book explores in detail the mathematical modeling and inverse problems encountered when using ultrasound to investigate heterogeneous microstructured materials. The outstanding features of the text are firstly, a clear description of both linear and nonlinear mathematical models derived for modelling the propagation of ultrasonic deformation waves, and secondly, the provision of solutions to the corresponding inverse problems that determine the physical parameters of the models. The data are related to nonlinearities at both a macro- and micro- level, as well as to dispersion. The authors’ goal has been to construct algorithms that allow us to determine the parameters within which we are required to characterize microstructure. To achieve this, the authors not only use conventional harmonic waves, but also propose a novel methodology based on using solitary waves in NDE. The book analyzes the uniqueness and stability of the solutions, in addition to providing numerical examples.

Author : Jaan Janno,Jüri Engelbrecht
Publisher : Springer Science & Business Media
Page : 161 pages
File Size : 54,9 Mb
Release : 2011-08-27
Category : Mathematics
ISBN : 9783642215841

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Microstructured Materials: Inverse Problems by Jaan Janno,Jüri Engelbrecht Pdf

Complex, microstructured materials are widely used in industry and technology and include alloys, ceramics and composites. Focusing on non-destructive evaluation (NDE), this book explores in detail the mathematical modeling and inverse problems encountered when using ultrasound to investigate heterogeneous microstructured materials. The outstanding features of the text are firstly, a clear description of both linear and nonlinear mathematical models derived for modelling the propagation of ultrasonic deformation waves, and secondly, the provision of solutions to the corresponding inverse problems that determine the physical parameters of the models. The data are related to nonlinearities at both a macro- and micro- level, as well as to dispersion. The authors’ goal has been to construct algorithms that allow us to determine the parameters within which we are required to characterize microstructure. To achieve this, the authors not only use conventional harmonic waves, but also propose a novel methodology based on using solitary waves in NDE. The book analyzes the uniqueness and stability of the solutions, in addition to providing numerical examples.

Author : Mezhlum A. Sumbatyan
Publisher : Springer
Page : 258 pages
File Size : 46,8 Mb
Release : 2017-03-28
Category : Science
ISBN : 9789811037979

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Wave Dynamics and Composite Mechanics for Microstructured Materials and Metamaterials by Mezhlum A. Sumbatyan Pdf

This volume deals with topical problems concerning technology and design in construction of modern metamaterials. The authors construct the models of mechanical, electromechanical and acoustical behavior of the metamaterials, which are founded upon mechanisms existing on micro-level in interaction of elementary structures of the material. The empiric observations on the phenomenological level are used to test the created models. The book provides solutions, based on fundamental methods and models using the theory of wave propagation, nonlinear theories and composite mechanics for media with micro- and nanostructure. They include the models containing arrays of cracks, defects, with presence of micro- and nanosize piezoelectric elements and coupled physical-mechanical fields of different nature. The investigations show that the analytical, numerical and experimental methods permit evaluation of the qualitative and quantitative properties of the materials of this sort, with diagnosis of their effective characteristics, frequency intervals of effective energetic cutting and passing, as well as effective regimes of damage evaluation by the acoustic methods.

Author : Helmut J. Böhm
Publisher : Springer
Page : 311 pages
File Size : 47,5 Mb
Release : 2014-05-04
Category : Science
ISBN : 9783709127766

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Mechanics of Microstructured Materials by Helmut J. Böhm Pdf

The work deals with the thermomechanical mechanical behavior of microstructured materials, which has attracted considerable interest from both the academic and the industrial research communities. The past decade has witnessed major progress in the development of analytical as well as numerical modeling approaches and of experimental methods in this field. Considerable research efforts have been aimed at obtaining microstructure-property correlations and at studying the damage and failure behavior of microstructured materials. The book combines an overview of important analytical and numerical modeling approaches in continuum micromechanics and is aimed at academic and industrial researchers, such as materials scientists, mechanical engineers, and applied physicists, who are working or planning to work in the field of mechanics of microstructured materials such as composites, metals and ceramics.

Author : Eric J. Mittemeijer,Paolo Scardi
Publisher : Springer Science & Business Media
Page : 557 pages
File Size : 55,7 Mb
Release : 2013-11-21
Category : Science
ISBN : 9783662067239

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Diffraction Analysis of the Microstructure of Materials by Eric J. Mittemeijer,Paolo Scardi Pdf

Overview of diffraction methods applied to the analysis of the microstructure of materials. Since crystallite size and the presence of lattice defects have a decisive influence on the properties of many engineering materials, information about this microstructure is of vital importance in developing and assessing materials for practical applications. The most powerful and usually non-destructive evaluation techniques available are X-ray and neutron diffraction. The book details, among other things, diffraction-line broadening methods for determining crystallite size and atomic-scale strain due, e.g. to dislocations, and methods for the analysis of residual (macroscale) stress. The book assumes only a basic knowledge of solid-state physics and supplies readers sufficient information to apply the methods themselves.

Author : Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch
Publisher : Springer
Page : 760 pages
File Size : 55,9 Mb
Release : 2018-03-24
Category : Science
ISBN : 9783319724409

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Generalized Models and Non-classical Approaches in Complex Materials 1 by Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch Pdf

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.

Author : Jüri Engelbrecht
Publisher : Springer
Page : 196 pages
File Size : 41,7 Mb
Release : 2015-03-05
Category : Mathematics
ISBN : 9783319147918

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Questions About Elastic Waves by Jüri Engelbrecht Pdf

This book addresses the modelling of mechanical waves by asking the right questions about them and trying to find suitable answers. The questions follow the analytical sequence from elementary understandings to complicated cases, following a step-by-step path towards increased knowledge. The focus is on waves in elastic solids, although some examples also concern non-conservative cases for the sake of completeness. Special attention is paid to the understanding of the influence of microstructure, nonlinearity and internal variables in continua. With the help of many mathematical models for describing waves, physical phenomena concerning wave dispersion, nonlinear effects, emergence of solitary waves, scales and hierarchies of waves as well as the governing physical parameters are analysed. Also, the energy balance in waves and non-conservative models with energy influx are discussed. Finally, all answers are interwoven into the canvas of complexity.

Author : Tsung-Tsong Wu,Chien-Ching Ma
Publisher : Springer Science & Business Media
Page : 441 pages
File Size : 53,6 Mb
Release : 2010-09-08
Category : Science
ISBN : 9789048198931

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IUTAM Symposium on Recent Advances of Acoustic Waves in Solids by Tsung-Tsong Wu,Chien-Ching Ma Pdf

Rapid growth of the mobile communication market has triggered extensive research on the bulk as well as surface acoustic wave devices in the last decade. Quite a few important results on the modeling and simulation of Film Bulk Acoustic Resonator (FBAR) and Layered SAW devices were reported recently. The other recent advance of acoustic waves in solids is the so-called phononic crystals or phononic band-gap materials. Analogous to the band-gap of light in photonic crystals, acoustic waves in periodic elastic structures also exhibit band-gap. Important applications of phononic band gap materials can potentially be found with creating a vibration free environment in microstructures, and design of advanced acoustic frequency filter, etc. In addition to the wave electronics and phononic crystals, to facilitate the emerging needs in the quantitative nondestructive evaluation of materials, waves in anisotropic solids and/or electro-, magneto- interaction problems also regained much attention recently. Topics treated include: Waves in piezoelectric crystals; Simulation of advanced BAW and SAW devices; Analysis of band gaps in phononic structures; Experimental investigation of phononic structures; Waves in multilayered media;Waves in anisotropic solids and/or electro-, magneto- interaction problems.

Author : Alan Kin Tak Lau,J. Lu,Vijay K. Varadan,Fu-Kuo Chang,J.P. Tu,Pou Man Lam
Publisher : Trans Tech Publications Ltd
Page : 1612 pages
File Size : 44,5 Mb
Release : 2008-06-12
Category : Technology & Engineering
ISBN : 9783038132172

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Multi-functional Materials and Structures by Alan Kin Tak Lau,J. Lu,Vijay K. Varadan,Fu-Kuo Chang,J.P. Tu,Pou Man Lam Pdf

Volume is indexed by Thomson Reuters CPCI-S (WoS). Smart Materials are materials that can respond to environmental stimuli by exhibiting particular changes in some of their properties. Depending upon the change in some external condition, a smart materials can change its own characteristics (mechanical, electrical, appearance), structure, composition and/or response. These materials are usually embedded into systems whose inherent properties change favourably in order to meet performance needs.

Author : F. M. Borodich
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 40,5 Mb
Release : 2008-11-14
Category : Science
ISBN : 9781402090332

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IUTAM Symposium on Scaling in Solid Mechanics by F. M. Borodich Pdf

This volume constitutes the Proceedings of the IUTAM Symposium on ‘Scaling in Solid Mechanics’, held in Cardiff from 25th to 29th June 2007. The Symposium was convened to address and place on record topical issues in theoretical, experimental and computational aspects of scaling approaches to solid mechanics and related elds. Scaling is a rapidly expanding area of research having multidisciplinary - plications. The expertise represented in the Symposium was accordingly very wide, and many of the world’s greatest authorities in their respective elds participated. Scaling methods apply wherever there is similarity across many scales or one need to bridge different scales, e. g. the nanoscale and macroscale. The emphasis in the Symposium was upon fundamental issues such as: mathematical foundations of scaling methods based on transformations and connections between multi-scale approaches and transformations. The Symposium remained focussed on fundam- tal research issues of practical signi cance. The considered topics included damage accumulation, growth of fatigue cracks, development of patterns of aws in earth’s core and inice, abrasiveness of rough surfaces, and soon. The Symposium consisted of forty-two oral presentations. All of the lectures were invited. Full record of the programme appears as an Appendix. Several of the lectures are not represented, mainly because of prior commitments to publish elsewhere. The proceedings p- vide a reasonable picture of understanding as it exists at present. The Symposium showed that scaling methods cannot be reduced solely to dimensional analysis and fractal approaches.

Author : Tobias Gleim ,Stephan Lange
Publisher : kassel university press GmbH
Page : 493 pages
File Size : 51,6 Mb
Release : 2019-09-04
Category : Technology & Engineering
ISBN : 9783737650939

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Proceedings of 8th GACM Colloquium on Computational Mechanics by Tobias Gleim ,Stephan Lange Pdf

This conference book contains papers presented at the 8th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry. The conference was held from August 28th – 30th, 2019 in Kassel, hosted by the Institute of Mechanics and Dynamics of the department for civil and environmental engineering and by the chair of Engineering Mechanics / Continuum Mechanics of the department for mechanical engineering of the University of Kassel. The aim of the conference is, to bring together young scientits who are engaged in academic and industrial research on Computational Mechanics and Computer Methods in Applied Sciences. It provides a plattform to present and discuss recent results from research efforts and industrial applications. In more than 150 presentations, given by young scientists, current scientific developments and advances in engineering practice in this field are presented and discussed. The contributions of the young researchers are supplemented by a poster session and plenary talks from four senior scientists from academia and industry as well as from the GACM Best PhD Award winners 2017 and 2018.

Author : Surya R. Kalidindi
Publisher : Elsevier
Page : 230 pages
File Size : 46,5 Mb
Release : 2015-08-06
Category : Technology & Engineering
ISBN : 9780124104556

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Hierarchical Materials Informatics by Surya R. Kalidindi Pdf

Custom design, manufacture, and deployment of new high performance materials for advanced technologies is critically dependent on the availability of invertible, high fidelity, structure-property-processing (SPP) linkages. Establishing these linkages presents a major challenge because of the need to cover unimaginably large dimensional spaces. Hierarchical Materials Informatics addresses objective, computationally efficient, mining of large ensembles of experimental and modeling datasets to extract this core materials knowledge. Furthermore, it aims to organize and present this high value knowledge in highly accessible forms to end users engaged in product design and design for manufacturing efforts. As such, this emerging field has a pivotal role in realizing the goals outlined in current strategic national initiatives such as the Materials Genome Initiative (MGI) and the Advanced Manufacturing Partnership (AMP). This book presents the foundational elements of this new discipline as it relates to the design, development, and deployment of hierarchical materials critical to advanced technologies. Addresses a critical gap in new materials research and development by presenting a rigorous statistical framework for the quantification of microstructure Contains several case studies illustrating the use of modern data analytic tools on microstructure datasets (both experimental and modeling)

Author : Arkadi Berezovski,Tarmo Soomere
Publisher : Springer Nature
Page : 376 pages
File Size : 45,7 Mb
Release : 2019-11-16
Category : Mathematics
ISBN : 9783030299514

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Applied Wave Mathematics II by Arkadi Berezovski,Tarmo Soomere Pdf

This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia. The papers chiefly focus on the role of mathematics in the analysis of wave phenomena. They highlight the complexity of related topics concerning wave generation, propagation, transformation and impact in solids, gases, fluids and human tissues, while also sharing insights into selected mathematical methods for the analytical and numerical treatment of complex phenomena. In addition, the contributions derive advanced mathematical models, share innovative ideas on computing, and present novel applications for a number of research fields where both linear and nonlinear wave problems play an important role. The papers are written in a tutorial style, intended for non-specialist researchers and students. The authors first describe the basics of a problem that is currently of interest in the scientific community, discuss the state of the art in related research, and then share their own experiences in tackling the problem. Each chapter highlights the importance of applied mathematics for central issues in the study of waves and associated complex phenomena in different media. The topics range from basic principles of wave mechanics up to the mathematics of Planet Earth in the broadest sense, including contemporary challenges in the mathematics of society. In turn, the areas of application range from classic ocean wave mathematics to material science, and to human nerves and tissues. All contributions describe the approaches in a straightforward manner, making them ideal material for educational purposes, e.g. for courses, master class lectures, or seminar presentations.

Author : De-Nian Yang
Publisher : Springer Nature
Page : 329 pages
File Size : 52,9 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9789819722662

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Advances in Knowledge Discovery and Data Mining by De-Nian Yang Pdf

Author : Felix Fritzen,David Ryckelynck
Publisher : MDPI
Page : 254 pages
File Size : 54,9 Mb
Release : 2019-09-18
Category : Technology & Engineering
ISBN : 9783039214099

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Machine Learning, Low-Rank Approximations and Reduced Order Modeling in Computational Mechanics by Felix Fritzen,David Ryckelynck Pdf

The use of machine learning in mechanics is booming. Algorithms inspired by developments in the field of artificial intelligence today cover increasingly varied fields of application. This book illustrates recent results on coupling machine learning with computational mechanics, particularly for the construction of surrogate models or reduced order models. The articles contained in this compilation were presented at the EUROMECH Colloquium 597, « Reduced Order Modeling in Mechanics of Materials », held in Bad Herrenalb, Germany, from August 28th to August 31th 2018. In this book, Artificial Neural Networks are coupled to physics-based models. The tensor format of simulation data is exploited in surrogate models or for data pruning. Various reduced order models are proposed via machine learning strategies applied to simulation data. Since reduced order models have specific approximation errors, error estimators are also proposed in this book. The proposed numerical examples are very close to engineering problems. The reader would find this book to be a useful reference in identifying progress in machine learning and reduced order modeling for computational mechanics.