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ISBN: 9780199233854 0199233853 Year: 2010 Publisher: Oxford New York : Oxford University Press,
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Operational research. Game theory --- Engineering mathematics. --- Mathematical analysis. --- Scaling laws (Statistical physics) --- Ratio and proportion (Statistical physics) --- Scale invariance (Statistical physics) --- Scaling hypothesis (Statistical physics) --- Scaling phenomena (Statistical physics) --- Physical laws --- Ranking and selection (Statistics) --- Statistical physics --- Advanced calculus --- Analysis (Mathematics) --- Algebra --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- 517.1 Mathematical analysis --- Scaling laws (Statistical physics). --- Engineering mathematics --- 517.1. --- 517.1
Book
ISBN: 9781118410684 Year: 2013 Publisher: Chichester : John Wiley & Sons Inc.,
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"Practical Multiscaling covers fundamental modelling techniques aimed at bridging diverse temporal and spatial scales ranging from the atomic level to a full-scale product level. It focuses on practical multiscale methods that account for fine-scale (material) details but do not require their precise resolution. The text material evolved from over 20 years of teaching experience at Rensselaer and Columbia University, as well as from practical experience gained in the application of multiscale software. This book comprehensively covers theory and implementation, providing a detailed exposition of the state-of-the-art multiscale theories and their insertion into conventional (single-scale) finite element code architecture. The robustness and design aspects of multiscale methods are also emphasised, which is accomplished via four building blocks: upscaling of information, systematic reduction of information, characterization of information utilizing experimental data, and material optimization. To ensure the reader gains hands-on experience, a companion website hosting a lite version of the multiscale design software (MDS-Lite) is available. Key features: Combines fundamental theory and practical methods of multiscale modelling Covers the state-of-the-art multiscale theories and examines their practical usability in design; covers applications of multiscale methods; accompanied by a continuously updated website hosting the multiscale design software; illustrated with colour images. Practical Multiscaling is an ideal textbook for graduate students studying multiscale science and engineering. It is also a must-have reference for government laboratories, researchers and practitioners in civil, aerospace, pharmaceutical, electronics, and automotive industries, and commercial software vendors"
Mechanical engineering --- Continuum mechanics --- Materials --- Multiscale modeling. --- Scaling laws (Statistical physics) --- Mechanical engineering --- Continuum mechanics --- Materials --- Mathematical models. --- Mathematical models. --- Mathematical models. --- Computer simulation. --- Computer simulation. --- Computer simulation.
ISBN: 9780470035801 0470035803 Year: 2007 Publisher: Chichester : John Wiley & Sons, Ltd,
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"Developed from the author's combined total of 50 years undergraduate and graduate teaching experience, this book presents the finite element method formulated as a general-purpose numerical procedure for solving engineering problems, governed by partial differential equations. Focusing on the formulation and application of the finite element method through the integration of finite element theory, code development, and software application, this book is both introductory and self-contained, as well as being a hands-on experience for any student." "A First Course in Finite Elements is the ideal practical introductory course for junior and senior undergraduate students from a variety of science and engineering disciplines. The accompanying advanced topics at the end of each chapter also make it suitable for courses at graduate level, as well as for practitioners who need to attain or refresh their knowledge of finite elements through private study"--P. 4 of cover.
Finite element method. --- 519.6 --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- computerwiskunde --- Finite element method
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