An Expedition to Continuum Theory

An Expedition to Continuum Theory
Author: Wolfgang H. Müller
Publisher: Springer Science & Business Media
Total Pages: 408
Release: 2014-01-18
Genre: Technology & Engineering
ISBN: 940077799X

This book introduces field theory as required in solid and fluid mechanics as well as in electromagnetism. It includes the necessary applied mathematical framework of tensor algebra and tensor calculus, using an inductive approach particularly suited to beginners. It is geared toward undergraduate classes in continuum theory for engineers in general, and more specifically to courses in continuum mechanics. Students will gain a sound basic understanding of the subject as well as the ability to solve engineering problems by applying the general laws of nature in terms of the balances for mass, momentum, and energy in combination with material-specific relations in terms of constitutive equations, thus learning how to use the theory in practice for themselves. This is facilitated by numerous examples and problems provided throughout the text.

The Philosophers Stone Of Expedition Leadership

The Philosophers Stone Of Expedition Leadership
Author: W. A. Donkin
Publisher: AuthorHouse
Total Pages: 454
Release: 2006-11-02
Genre: Body, Mind & Spirit
ISBN: 1467017450

The interest in and inspiration for this book was derived from the author's background experience and knowledge of adventure expeditions. This valuable experience can be detected within the text of this work but its' attractiveness is derived from the observation of other experienced members of expedition teams around the world. The challenge of adventure expeditions are part of the reason why expedition leaders and team members choose to face unfamiliar situations such as difficult weather or terrain, changes in travel plans or using new equipment and adventurous pursuit in a strange or unknown place. The problems to be faced can of course never be fully predicted. The challenge of this uncertainty is one of the reasons why people become involved in expeditions but it is also the source of conflict and danger. It is the management of these diverse and changing factors that are the concern of the leader, a complex and dynamic process. It can be implied that adventurous expeditions are demanding experiences full of opportunities and potential problems. This later proposition can be justified as a result of previous bad practice and unsavoury incidents within the sphere of outdoor adventure. The indications are that expedition leaders need to share good practice and should possess the required leadership qualities. They need to consider developing suitable guidelines that could give an outline of the roles and responsibilities of an expedition leader. There appears to be a need to identify the desired qualities of expedition leaders in order to develop the essential professional training programmes and safe expeditions that use good practice.

The State of Deformation in Earthlike Self-Gravitating Objects

The State of Deformation in Earthlike Self-Gravitating Objects
Author: Wolfgang H. Müller
Publisher: Springer
Total Pages: 117
Release: 2016-04-30
Genre: Science
ISBN: 3319325809

This book presents an in-depth continuum mechanics analysis of the deformation due to self-gravitation in terrestrial objects, such as the inner planets, rocky moons and asteroids. Following a brief history of the problem, modern continuum mechanics tools are presented in order to derive the underlying field equations, both for solid and fluid material models. Various numerical solution techniques are discussed, such as Runge-Kutta integration, series expansion, finite differences, and (adaptive) FE analysis. Analytical solutions for selected special cases, which are worked out in detail, are also included. All of these methods are then applied to the problem, quantitative results are compared, and the pros and cons of the analytical solutions and of all the numerical methods are discussed. The book culminates in a multi-layer model for planet Earth according to the PREM Model (Preliminary Earth Model) and in a viscoelastic analysis of the deformation problem, all from the viewpoint of rational continuum theory and numerical analysis.

Tensor Algebra And Analysis For Engineers: With Applications To Differential Geometry Of Curves And Surfaces

Tensor Algebra And Analysis For Engineers: With Applications To Differential Geometry Of Curves And Surfaces
Author: Paolo Vannucci
Publisher: World Scientific
Total Pages: 230
Release: 2023-02-27
Genre: Mathematics
ISBN: 9811264821

In modern theoretical and applied mechanics, tensors and differential geometry are two almost essential tools. Unfortunately, in university courses for engineering and mechanics students, these topics are often poorly treated or even completely ignored. At the same time, many existing, very complete texts on tensors or differential geometry are so advanced and written in abstract language that discourage young readers looking for an introduction to these topics specifically oriented to engineering applications.This textbook, mainly addressed to graduate students and young researchers in mechanics, is an attempt to fill the gap. Its aim is to introduce the reader to the modern mathematical tools and language of tensors, with special applications to the differential geometry of curves and surfaces in the Euclidean space. The exposition of the matter is sober, directly oriented to problems that are ordinarily found in mechanics and engineering. Also, the language and symbols are tailored to those usually employed in modern texts of continuum mechanics.Though not exhaustive, as any primer textbook, this volume constitutes a coherent, self-contained introduction to the mathematical tools and results necessary in modern continuum mechanics, concerning vectors, 2nd- and 4th-rank tensors, curves, fields, curvilinear coordinates, and surfaces in the Euclidean space. More than 100 exercises are proposed to the reader, many of them complete the theoretical part through additional results and proofs. To accompany the reader in learning, all the exercises are entirely developed and solved at the end of the book.

New Achievements in Continuum Mechanics and Thermodynamics

New Achievements in Continuum Mechanics and Thermodynamics
Author: Bilen Emek Abali
Publisher: Springer
Total Pages: 586
Release: 2019-03-13
Genre: Science
ISBN: 3030133079

This book presents a liber amicorum dedicated to Wolfgang H. Müller, and highlights recent advances in Prof. Müller’s major fields of research: continuum mechanics, generalized mechanics, thermodynamics, mechanochemistry, and geomechanics. Over 50 of Prof. Müller’s friends and colleagues contributed to this book, which commemorates his 60th birthday and was published in recognition of his outstanding contributions.