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Continuum Methods of Physical Modeling

2013-11-11 Science
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Release : 2013-11-11
Genre : Science
Kind : eBook
Book Rating : 022/5 ( reviews)

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Book Synopsis Continuum Methods of Physical Modeling by : Kolumban Hutter

Download or read book Continuum Methods of Physical Modeling written by Kolumban Hutter. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: The book unifies classical continuum mechanics and turbulence modeling, i.e. the same fundamental concepts are used to derive model equations for material behaviour and turbulence closure and complements these with methods of dimensional analysis. The intention is to equip the reader with the ability to understand the complex nonlinear modeling in material behaviour and turbulence closure as well as to derive or invent his own models. Examples are mostly taken from environmental physics and geophysics.

Continuum Modeling in the Physical Sciences

2007-01-01 Mathematics
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Release : 2007-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 249/5 ( reviews)

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Book Synopsis Continuum Modeling in the Physical Sciences by : E. van Groesen

Download or read book Continuum Modeling in the Physical Sciences written by E. van Groesen. This book was released on 2007-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modeling - the ability to apply mathematical concepts and techniques to real-life systems has expanded considerably over the last decades, making it impossible to cover all of its aspects in one course or textbook. Continuum Modeling in the Physical Sciences provides an extensive exposition of the general principles and methods of this growing field with a focus on applications in the natural sciences. The authors present a thorough treatment of mathematical modeling from the elementary level to more advanced concepts. Most of the chapters are devoted to a discussion of central issues such as dimensional analysis, conservation principles, balance laws, constitutive relations, stability, robustness, and variational methods, and are accompanied by numerous real-life examples. Readers will benefit from the exercises placed throughout the text and the challenging problems sections found at the ends of several chapters.

Modeling Materials

2011-11-24 Science
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Release : 2011-11-24
Genre : Science
Kind : eBook
Book Rating : 651/5 ( reviews)

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Book Synopsis Modeling Materials by : Ellad B. Tadmor

Download or read book Modeling Materials written by Ellad B. Tadmor. This book was released on 2011-11-24. Available in PDF, EPUB and Kindle. Book excerpt: Material properties emerge from phenomena on scales ranging from Angstroms to millimeters, and only a multiscale treatment can provide a complete understanding. Materials researchers must therefore understand fundamental concepts and techniques from different fields, and these are presented in a comprehensive and integrated fashion for the first time in this book. Incorporating continuum mechanics, quantum mechanics, statistical mechanics, atomistic simulations and multiscale techniques, the book explains many of the key theoretical ideas behind multiscale modeling. Classical topics are blended with new techniques to demonstrate the connections between different fields and highlight current research trends. Example applications drawn from modern research on the thermo-mechanical properties of crystalline solids are used as a unifying focus throughout the text. Together with its companion book, Continuum Mechanics and Thermodynamics (Cambridge University Press, 2011), this work presents the complete fundamentals of materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.

Continuum Modeling

2015-08-14 Mathematics
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Release : 2015-08-14
Genre : Mathematics
Kind : eBook
Book Rating : 311/5 ( reviews)

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Book Synopsis Continuum Modeling by : Adrian Muntean

Download or read book Continuum Modeling written by Adrian Muntean. This book was released on 2015-08-14. Available in PDF, EPUB and Kindle. Book excerpt: This book develops continuum modeling skills and approaches the topic from three sides: (1) derivation of global integral laws together with the associated local differential equations, (2) design of constitutive laws and (3) modeling boundary processes. The focus of this presentation lies on many practical examples covering aspects such as coupled flow, diffusion and reaction in porous media or microwave heating of a pizza, as well as traffic issues in bacterial colonies and energy harvesting from geothermal wells. The target audience comprises primarily graduate students in pure and applied mathematics as well as working practitioners in engineering who are faced by nonstandard rheological topics like those typically arising in the food industry.

Continuum Mechanics Modeling of Material Behavior

2018-03-31 Technology & Engineering
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Release : 2018-03-31
Genre : Technology & Engineering
Kind : eBook
Book Rating : 498/5 ( reviews)

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Book Synopsis Continuum Mechanics Modeling of Material Behavior by : Martin H. Sadd

Download or read book Continuum Mechanics Modeling of Material Behavior written by Martin H. Sadd. This book was released on 2018-03-31. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Mechanics Modeling of Material Behavior offers a uniquely comprehensive introduction to topics like RVE theory, fabric tensor models, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Contemporary continuum mechanics research has been moving into areas of complex material microstructural behavior. Graduate students who are expected to do this type of research need a fundamental background beyond classical continuum theories. The book begins with several chapters that carefully and rigorously present mathematical preliminaries: kinematics of motion and deformation; force and stress measures; and general principles of mass, momentum and energy balance. The book then moves beyond other books by dedicating several chapters to constitutive equation development, exploring a wide collection of constitutive relations and developing the corresponding material model formulations. Such material behavior models include classical linear theories of elasticity, fluid mechanics, viscoelasticity and plasticity. Linear multiple field problems of thermoelasticity, poroelasticity and electoelasticity are also presented. Discussion of nonlinear theories of solids and fluids, including finite elasticity, nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic materials are also given. Finally, several relatively new continuum theories based on incorporation of material microstructure are presented including: fabric tensor theories, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Offers a thorough, concise and organized presentation of continuum mechanics formulation Covers numerous applications in areas of contemporary continuum mechanics modeling, including micromechanical and multi-scale problems Integration and use of MATLAB software gives students more tools to solve, evaluate and plot problems under study Features extensive use of exercises, providing more material for student engagement and instructor presentation

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