It s Elemental

It s Elemental

It's. Elemental. “Whether you're baking a pie, washing your hands, or watching a sunset, Dr. Biberdorf shows that science is everywhere and it's fun! She's a proud nerd, and in the pages of this essential book you'll discover the great ...

Author: Kate Biberdorf

Publisher: Harlequin

ISBN: 9781488073953

Category: Science


View: 643

In this fresh and engaging guide to chemistry, Dr. Kate Biberdorf, aka "Kate the Chemist," reveals the fascinating science we experience every day Have you ever wondered what makes dough rise? Or how your morning coffee gives you that energy boost? Or why your shampoo is making your hair look greasy? The answer is chemistry. From the moment we wake up until the time we go to sleep (and even while we sleep), chemistry is at work—and it doesn't take a PhD in science to understand it. Dr. Biberdorf has appeared on TV programs from the Today show to The Late Show with Stephen Colbert, lighting the world on fire and changing the face of chemistry as we know it. In It's Elemental, she demystifies the fundamental principles of the science that may have eluded you in high school and shows how chemistry comes alive in everything we do. With wry wit and infectious enthusiasm, this entertaining guide will ignite your passion for science and change the way you experience the world.
Categories: Science

Elemental Analysis Of Coal And Its By products Proceedings Of The Conference

Elemental Analysis Of Coal And Its By products   Proceedings Of The Conference

Detection limits depend on the degree of ionization of the element and abundance of the measured isotope. ... its elemental constituents is required to predict its environmental impact, combustion characteristics, and geologic origin.

Author: Vourvopoulos George

Publisher: World Scientific

ISBN: 9789814555388


Page: 404

View: 144


The Finite Element Method and Its Reliability

The Finite Element Method and Its Reliability

An example which illustrates the accuracy of the element error indicators . ... Remark 5.6 * .2 Estimates of the types addressed in this section are very popular because of their simplicity , low cost , and good performance .

Author: Ivo Babus̆ka, Theofanis Strouboulis

Publisher: Oxford University Press

ISBN: 0198502761

Category: Mathematics

Page: 802

View: 514

The finite element method is a numerical method widely used in engineering. Experience shows that unreliable computation can lead to very serious consequences. Hence reliability questions stand are at the forefront of engineering and theoretical interests. This book presents the mathematical theory of the finite element method and is the first to focus on the questions of how reliable computed results really are. It addresses among other topics the local behaviour, errors caused by pollution, superconvergence, and optimal meshes. Many computational examples illustrate the importance of the theoretical conclusions for practical computations. Graduate students, lecturers, and researchers in mathematics, engineering, and scientific computation will benefit from the clear structure of the book, and will find this a very useful reference.
Categories: Mathematics

The Finite Element Method Its Basis and Fundamentals

The Finite Element Method  Its Basis and Fundamentals

Once again the matrix C can be assembled from its element contributions. Various analytical and numerical procedures can be applied simply to the solution of such transient, ordinary, differential equations which, again, ...

Author: Olek C Zienkiewicz

Publisher: Elsevier

ISBN: 008047277X

Category: Technology & Engineering

Page: 752

View: 868

The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms. • The classic FEM text, written by the subject's leading authors • Enhancements include more worked examples and exercises • With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations. Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics. The classic introduction to the finite element method, by two of the subject's leading authors Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text
Categories: Technology & Engineering

The Finite Element Method

The Finite Element Method

For the discretization of a fourth-order problem, functions in the discrete space V, and their first derivatives were required to be continuous on Q. In this case, the finite element method is termed the H*-conforming method or ...

Author: Zhangxin Chen

Publisher: World Scientific Publishing Company

ISBN: 9789813100657

Category: Mathematics

Page: 348

View: 123

This Finite Element Method offers a fundamental and practical introduction to the finite element method, its variants, and their applications in engineering. Every concept is introduced in the simplest possible setting, while maintaining a level of treatment that is as rigorous as possible without being unnecessarily abstract. Various finite elements in one, two, and three space dimensions are introduced, and their applications to elliptic, parabolic, hyperbolic, and nonlinear equations and to solid mechanics, fluid mechanics, and porous media flow problems are addressed. The variants include the control volume, multipoint flux approximation, nonconforming, mixed, discontinuous, characteristic, adaptive, and multiscale finite element methods. Illustrative computer programs in Fortran and C++ are described. An extensive set of exercises are provided in each chapter. This book serves as a text a for one-semester course for upper-level undergraduates and beginning graduate students and as a professional reference for engineers, mathematicians, and scientists.
Categories: Mathematics

Finite element theory and its application with open source codes

Finite element theory and its application with open source codes

read in nodal points, element connectivity, material, etc., and control data compute each element stiffness [k] and ... element. types. and. their. applications. Finite elements can be grouped as one-dimensional (1D), two-dimensional ...

Author: Anthony Pickett

Publisher: Anthony Pickett


Category: Technology & Engineering

Page: 366

View: 838

This book combines essential finite element (FE) theory with a set of fourteen tutorials using relatively easy-to-use open source CAD, FE and other numerical analysis codes so a student can undertake practical analysis and self-study. The theory covers fundamentals of the finite element method. Formulation of element stiffness for one dimensional bar and beam, two dimensional and three dimensional continuum elements, plate and shell elements are derived based on energy and variational methods. Linear, nonlinear and transient dynamic solution methods are covered for both mechanical and field analysis problems with a focus on heat transfer. Other important theoretical topics covered include element integration, element assembly, loads, boundary conditions, contact and a chapter devoted to material laws on elasticity, hyperelasticity and plasticity. A brief introduction to Computational Fluid Dynamics (CFD) is also included. The second half of this book presents a chapter on using tutorials containing information on code installation (on Windows) and getting started, and general hints on meshing, modelling and analysis. This is then followed by tutorials and exercises that cover linear, nonlinear and dynamic mechanical analysis, steady state and transient heat analysis, field analysis, fatigue, buckling and frequency analysis, a hydraulic pipe network analysis, and lastly two tutorials on CFD simulation. In each case theory is linked with application and exercises are included for further self-study. For these tutorials open source codes FreeCAD, CalculiX, FreeMAT and OpenFOAM are used. CalculiX is a comprehensive FE package covering linear, nonlinear and transient analysis. One particular benefit is that its format and structure is based on Abaqus, so knowledge gained is relevant to a leading commercial code. FreeCAD is primarily a powerful CAD modelling code, that includes good finite element meshing and modelling capabilities and is fully integrated with CalculiX. FreeMAT is used in three tutorials for numerical analysis demonstrating algorithms for explicit finite element and CFD analysis. And OpenFOAM is used for other CFD flow simulations. The primary aim of this book is to provide a unified text covering theory and practice, so a student can learn and experiment with these versatile and powerful analysis methods. It should be of value to both finite element courses and for student self-study.
Categories: Technology & Engineering

Trace Element Speciation in Surface Waters and Its Ecological Implications

Trace Element Speciation in Surface Waters and Its Ecological Implications

With regard to particle-mediated transport, Jenne (1977) has proposed that the most significant role of clay-sized aluminosilicate minerals (in trace element sorption by soils and sediments and their transport in rivers) is as a ...

Author: Gary C. Leppard

Publisher: Springer Science & Business Media

ISBN: 9781468482348

Category: Science

Page: 320

View: 427

Categories: Science

The Blood and Its Third Anatomical Element

The Blood and Its Third Anatomical Element

PUBLISHER'S FOREWORD The Blood And It's Third Anatomical Element was first published in 1899 , reprinted in English in 1912 by Dr. M. R. Leverson . This work is a scientific masterpiece on the microzyma , the sub - microscopic ...

Author: Antoine Béchamp

Publisher: Health Research Books

ISBN: 0787311634

Category: Blood

Page: 440

View: 250

Health Research Books reprint (with new foreword) of the 1912 translation which was published in London by John Ouseley Limited.
Categories: Blood

A New Kirchhoff Love Beam Element and its Application to Polymer Mechanics

A New Kirchhoff Love Beam Element and its Application to Polymer Mechanics

Then, the Galerkin approach lies at the core of the finite-element method where the analytic and continuous fields q and δq are approximated by discrete representations qh and δqh . In general, a discrete representation is obtained by a ...

Author: Matthias C. Schulz

Publisher: Springer Nature

ISBN: 9783031063404

Category: Technology & Engineering

Page: 150

View: 135

The novel finite element formulations fall into the category of geometrically exact Kirchhoff-Love beams. A prominent characteristic of this category is that the absence of shear deformation is strongly enforced by removing two degrees of freedom. Further, the corresponding beam theories exhibit not only translational but also rotational degrees of freedom and their configurations thus form a non-additive and non-commutative space. Sophisticated interpolation schemes are required that need to be tested not only for locking, spatial convergence behavior, and energy conservation, but also for observer invariance and path-independence. For the three novel beam element formulations all these properties are analytically and numerically studied and confirmed, if applicable. Two different rotation parameterization strategies are employed based on the well-known geodesic interpolation used in many Simo-Reissner beams and the lesser known split into the so-called \textit{smallest rotation} and a torsional part. Application of the former parameterization results in a mixed finite element formulation intrinsically free of locking phenomena. Additionally, the first geometrically exact Kirchhoff-Love beam element is presented, which strongly enforces inextensibility by removing another degree of freedom. Furthermore, the numerical efficiency of the new beam formulations is compared to other beam elements that allow for or suppress shear deformation. When modeling very slender beams, the new elements offer distinct numerical advantages. Standard molecular dynamics simulations, which are commonly used to study polymers, suffer from a lack of a careful mathematical basis and the use of an expensive explicit time integration scheme. To circumvent these shortcomings and to be able to simulate stretching experiments on relevant time scales, the problem is described by a stochastic partial differential equation, which can be solved using the finite element method with a backward Euler temporal discretization. In detail, the polymer is represented by a Kirchhoff-Love beam with a linear elastic constitutive model. Inertial and electrostatic forces are neglected. It is deformed by a distributed load mimicking collisions with molecules of the surrounding fluid. Naturally, this load heavily fluctuates over time and space and mean values need to be computed in a Monte Carlo manner. To vastly speed up the fitting process to experimental data in a Bayesian framework, a surrogate model based on a Gaussian process is set up, which directly computes the mean values for given material parameters. The uncertainties and correlations of the material parameters are studied and compared to the literature.
Categories: Technology & Engineering

English Poetry from Blake to Browning

English Poetry from Blake to Browning

And this is so , because poetry is rooted in and springs from the soil of human nature , and has to do with that nature in its relation to the world , and as it is constituted , with all its elemental powers and affections , with its ...

Author: William Macneile Dixon


ISBN: UCAL:$B683855

Category: English poetry

Page: 252

View: 950

Categories: English poetry