An Introduction to Mathematical Modeling

Author: J. Tinsley Oden
Publisher: John Wiley & Sons
ISBN: 1118105745
Format: PDF, ePub, Docs
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A modern approach to mathematical modeling, featuring unique applications from the field of mechanics An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern science and incorporates examples that illustrate how the most successful models arise from basic principles in modern and classical mathematical physics. Written by a world authority on mathematical theory and computational mechanics, the book presents an account of continuum mechanics, electromagnetic field theory, quantum mechanics, and statistical mechanics for readers with varied backgrounds in engineering, computer science, mathematics, and physics. The author streamlines a comprehensive understanding of the topic in three clearly organized sections: Nonlinear Continuum Mechanics introduces kinematics as well as force and stress in deformable bodies; mass and momentum; balance of linear and angular momentum; conservation of energy; and constitutive equations Electromagnetic Field Theory and Quantum Mechanics contains a brief account of electromagnetic wave theory and Maxwell's equations as well as an introductory account of quantum mechanics with related topics including ab initio methods and Spin and Pauli's principles Statistical Mechanics presents an introduction to statistical mechanics of systems in thermodynamic equilibrium as well as continuum mechanics, quantum mechanics, and molecular dynamics Each part of the book concludes with exercise sets that allow readers to test their understanding of the presented material. Key theorems and fundamental equations are highlighted throughout, and an extensive bibliography outlines resources for further study. Extensively class-tested to ensure an accessible presentation, An Introduction to Mathematical Modeling is an excellent book for courses on introductory mathematical modeling and statistical mechanics at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for professionals working in the areas of modeling and simulation, physics, and computational engineering.

Introduction to Computational Contact Mechanics

Author: Alexander Konyukhov
Publisher: John Wiley & Sons
ISBN: 1118770641
Format: PDF, Mobi
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Introduction to Computational Contact Mechanics: A GeometricalApproach covers the fundamentals of computational contactmechanics and focuses on its practical implementation. Part one ofthis textbook focuses on the underlying theory and covers essentialinformation about differential geometry and mathematical methodswhich are necessary to build the computational algorithmindependently from other courses in mechanics. The geometricallyexact theory for the computational contact mechanics is describedin step-by-step manner, using examples of strict derivation from amathematical point of view. The final goal of the theory is toconstruct in the independent approximation form /so-calledcovariant form, including application to high-order andisogeometric finite elements. The second part of a book is a practical guide for programming ofcontact elements and is written in such a way that makes it easyfor a programmer to implement using any programming language. Allprogramming examples are accompanied by a set of verificationexamples allowing the user to learn the research verificationtechnique, essential for the computational contact analysis. Key features: Covers the fundamentals of computational contact mechanics Covers practical programming, verification and analysis ofcontact problems Presents the geometrically exact theory for computationalcontact mechanics Describes algorithms used in well-known finite element softwarepackages Describes modeling of forces as an inverse contactalgorithm Includes practical exercises Contains unique verification examples such as the generalizedEuler formula for a rope on a surface, and the impact problem andverification of thå percussion center Accompanied by a website hosting software Introduction to Computational Contact Mechanics: A GeometricalApproach is an ideal textbook for graduates and seniorundergraduates, and is also a useful reference for researchers andpractitioners working in computational mechanics.

Introduction to Finite Strain Theory for Continuum Elasto Plasticity

Author: Koichi Hashiguchi
Publisher: John Wiley & Sons
ISBN: 1118437721
Format: PDF, Mobi
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Comprehensive introduction to finite elastoplasticity,addressing various analytical and numerical analyses &including state-of-the-art theories Introduction to Finite Elastoplasticity presentsintroductory explanations that can be readily understood by readerswith only a basic knowledge of elastoplasticity, showing physicalbackgrounds of concepts in detail and derivation processes ofalmost all equations. The authors address various analytical andnumerical finite strain analyses, including new theories developedin recent years, and explain fundamentals including thepush-forward and pull-back operations and the Lie derivatives oftensors. As a foundation to finite strain theory, the authors begin byaddressing the advanced mathematical and physical properties ofcontinuum mechanics. They progress to explain a finiteelastoplastic constitutive model, discuss numerical issues onstress computation, implement the numerical algorithms for stresscomputation into large-deformation finite element analysis andillustrate several numerical examples of boundary-value problems.Programs for the stress computation of finite elastoplastic modelsexplained in this book are included in an appendix, and the codecan be downloaded from an accompanying website.

Extended Finite Element Method

Author: Amir R. Khoei
Publisher: John Wiley & Sons
ISBN: 1118869680
Format: PDF, ePub, Mobi
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Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples

Mathematische Modellbildung und Simulation

Author: Marco Günther
Publisher: John Wiley & Sons
ISBN: 3527686509
Format: PDF
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Diese für Studierende ebenso wie für Wissenschaftler, Ingenieure und Praktiker geeignete Einführung in mathematische Modellbildung und Simulation setzt nur einfache Grundkenntnisse in Analysis und linearer Algebra voraus - alle weiteren Konzepte werden im Buch entwickelt. Die Leserinnen und Leser lernen anhand detailliert besprochener Beispiele aus unterschiedlichsten Bereichen (Biologie, Ökologie, Ökonomie, Medizin, Landwirtschaft, Chemie, Maschinenbau, Elektrotechnik, Prozesstechnik usw.), sich kritisch mit mathematischen Modellen auseinanderzusetzen und anspruchsvolle mathematische Modelle selbst zu formulieren und zu implementieren. Das Themenspektrum reicht von statistischen Modellen bis zur Mehrphasen-Strömungsdynamik in 3D. Für alle im Buch besprochenen Modellklassen wird kostenlose Open-Source-Software zur Verfügung gestellt. Grundlage ist das eigens für dieses Buch entwickelte Betriebssystem Gm.Linux ("Geisenheim-Linux"), das ohne Installationsaufwand z.B. auch auf Windows-Rechnern läuft. Ein Referenzkartensystem zu Gm.Linux mit einfachen Schritt-für-Schritt-Anleitungen ermöglicht es, auch komplexe statistische Berechnungen oder 3D-Strömungssimulationen in kurzer Zeit zu realisieren. Alle im Buch beschriebenen Verfahren beziehen sich auf Gm.Linux 2.0 (und die darin fixierten Versionen aller Anwendungsprogramme) und sind daher unabhängig von Softwareaktualisierungen langfristig verwendbar.

Mathematical Modeling and Simulation

Author: Kai Velten
Publisher: John Wiley & Sons
ISBN: 3527627618
Format: PDF, Kindle
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This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).

Dynamic Systems

Author: Raymond C. Kluever
Publisher: John Wiley & Sons
ISBN: 1118289455
Format: PDF, ePub
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Wiley introduces a new offering in dynamic systems—Dynamic Systems: Modeling, Simulation, and Control by Craig Kluever. This text highlights essential topics such as analysis, design, and control of physical engineering systems, often composed of interacting mechanical, electrical and fluid subsystem components. Dynamic Systems: Modeling, Simulation, and Control is intended for an introductory course in dynamic systems and control, and written for mechanical engineering and other engineering curricula. Major topics covered in this text include mathematical modeling, system-response analysis, and an introduction to feedback control systems. Dynamic Systems integrates an early introduction to numerical simulation using MATLAB®’s Simulink for integrated systems. Simulink® and MATLAB® tutorials for both software programs will also be provided. The author’s text also has a strong emphasis on real-world case studies. Derived from top-tier engineering from the AMSE Journal of Dynamic Systems, Measurement, and Control, case studies are leveraged to demonstrate fundamental concepts as well as the analysis of complex engineering systems. In addition, Dynamic Systems delivers a wide variety of end of chapter problems, including conceptual problems, MATLAB® problems, and Engineering Application problems.

Introduction to Computation and Modeling for Differential Equations

Author: Lennart Edsberg
Publisher: John Wiley & Sons
ISBN: 1118626214
Format: PDF, Mobi
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An introduction to scientific computing for differential equations Introduction to Computation and Modeling for Differential Equations provides a unified and integrated view of numerical analysis, mathematical modeling in applications, and programming to solve differential equations, which is essential in problem-solving across many disciplines, such as engineering, physics, and economics. This book successfully introduces readers to the subject through a unique "Five-M" approach: Modeling, Mathematics, Methods, MATLAB, and Multiphysics. This approach facilitates a thorough understanding of how models are created and preprocessed mathematically with scaling, classification, and approximation, and it also illustrates how a problem is solved numerically using the appropriate mathematical methods. The book's approach of solving a problem with mathematical, numerical, and programming tools is unique and covers a wide array of topics, from mathematical modeling to implementing a working computer program. The author utilizes the principles and applications of scientific computing to solve problems involving: Ordinary differential equations Numerical methods for Initial Value Problems (IVPs) Numerical methods for Boundary Value Problems (BVPs) Partial Differential Equations (PDEs) Numerical methods for parabolic, elliptic, and hyperbolic PDEs Mathematical modeling with differential equations Numerical solution Finite difference and finite element methods Real-world examples from scientific and engineering applications including mechanics, fluid dynamics, solid mechanics, chemical engineering, electromagnetic field theory, and control theory are solved through the use of MATLAB and the interactive scientific computing program Comsol Multiphysics. Numerous illustrations aid in the visualization of the solutions, and a related Web site features demonstrations, solutions to problems, MATLAB programs, and additional data. Introduction to Computation and Modeling for Differential Equations is an ideal text for courses in differential equations, ordinary differential equations, partial differential equations, and numerical methods at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for researchers and practitioners in the fields of mathematics, engineering, and computer science who would like to refresh and revive their knowledge of the mathematical and numerical aspects as well as the applications of scientific computation.

Perry s Chemical Engineers Handbook

Author: Robert H. Perry
Publisher: McGraw-Hill Professional Publishing
ISBN: 9780070498419
Format: PDF, Mobi
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This is the new edition of chemical and process engineers' favorite reference. Previous editions of this authoritative, comprehensive handbook have sold more than 887,000 copies. This Seventh Edition contains 50% new or revised material, including new information on condensers, reboilers, evaporators, and vessels; multicomponent and enhance distillation including azeotropic, extractive, and reactive methods; gas absorption processes with data on plate performance, plate design, and packed towers, super-critical fluid and membrane separation processes; biochemical separation processes; materials of construction; and materials for process applications. The Handbook is once again the standard in the field--with all the facts, figures, methods, and data engineers rely on and need.