Irreversible Thermodynamics and Variational Principles with Applications to Viscoelasticity

Irreversible Thermodynamics and Variational Principles with Applications to Viscoelasticity PDF Author: Richard Allan Schapery
Publisher:
ISBN:
Category : Irreversible processes
Languages : en
Pages : 380

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Book Description
A unified theory of the thermo-mechanical behavior of viscoelastic media is developed from studying the thermodynamics of irreversible processes, and includes discussions of the general equations of motion, crack propagation, variational principles, and approximate methods of stress analysis.

Irreversible Thermodynamics and Variational Principles with Applications to Viscoelasticity

Irreversible Thermodynamics and Variational Principles with Applications to Viscoelasticity PDF Author: Richard Allan Schapery
Publisher:
ISBN:
Category : Irreversible processes
Languages : en
Pages : 380

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Book Description
A unified theory of the thermo-mechanical behavior of viscoelastic media is developed from studying the thermodynamics of irreversible processes, and includes discussions of the general equations of motion, crack propagation, variational principles, and approximate methods of stress analysis.

Continuum Mechanics - Volume I

Continuum Mechanics - Volume I PDF Author: José Merodio
Publisher: EOLSS Publications
ISBN: 1848263724
Category :
Languages : en
Pages : 460

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Book Description
The main objective of continuum mechanics is to predict the response of a body that is under the action of external and/or internal influences, i.e. to capture and describe different mechanisms associated with the motion of a body that is under the action of loading. A body in continuum mechanics is considered to be matter continuously distributed in space. Hence, no attention is given to the microscopic (atomic) structure of real materials although non-classical generalized theories of continuum mechanics are able to deal with the mesoscopic structure of matter (i.e. defects, cracks, dispersive lengths, ...). Matter occupies space in time and the response of a body in continuum mechanics is restricted to the Newtonian space-time of classical mechanics in this volume. Einstein’s theory of relativity is not considered. In the classical sense, loading is considered as any action that changes the motion of the body. This includes, for instance, a change in temperature or a force applied. By introducing the concept of configurational forces a load may also be considered as a force that drives a change in the material space, for example the opening of a crack. Continuum mechanics refers to field descriptions of phenomena that are usually modeled by partial differential equations and, from a mathematical point of view, require non-standard knowledge of non-simple technicalities. One purpose in this volume has been to present the different subjects in a self-contained way for a general audience. The organization of the volume is as follows. Mathematically, to predict the response of a body it is necessary to formulate boundary value problems governed by balance laws. The theme of the volume, that is an overview of the subject, has been written with this idea in mind for beginners in the topic. Chapter 1 is an introduction to continuum mechanics based on a one-dimensional framework in which, simultaneously, a more detailed organization of the chapters of this volume is given. A one-dimensional approach to continuum mechanics in some aspects maybe misleading since the analysis is oversimplified. Nevertheless, it allows us to introduce the subject through the early basic steps of the continuum analysis for a general audience. Chapters 3, 4 and 5 are devoted to the mathematical setting of continuum analysis: kinematics, balance laws and thermodynamics, respectively. Chapters 6 and 7 are devoted to constitutive equations. Chapters 8 and 9 deal with different issues in the context of linear elastostatics and linear elastodynamics and waves, respectively, for solids. Linear Elasticity is a classical and central theory of continuum mechanics. Chapter 10 deals with fluids while chapter 11 analyzes the coupled theory of thermoelasticity. Chapter 12 deals with nonlinear elasticity and its role in the continuum framework. Chapters 13 and 14 are dedicated to different applications of solid and fluid mechanics, respectively. The rest of the chapters involve some advanced topics. Chapter 15 is dedicated to turbulence, one of the main challenges in fluid mechanics. Chapter 16 deals with electro-magneto active materials (a coupled theory). Chapter 17 deals with specific ideas of soft matter and chapter 18 deals with configurational forces. In chapter 19, constitutive equations are introduced in a general (implicit) form. Well-posedness (existence, time of existence, uniqueness, continuity) of the equations of the mechanics of continua is an important topic which involves sophisticated mathematical machinery. Chapter 20 presents different analyses related to these topics. Continuum Mechanics is an interdisciplinary subject that attracts the attention of engineers, mathematicians, physicists, etc., working in many different disciplines from a purely scientific environment to industrial applications including biology, materials science, engineering, and many other subjects.

Variational Principles in Thermo- and Magneto-Elasticity

Variational Principles in Thermo- and Magneto-Elasticity PDF Author: Heinz Parkus
Publisher: Springer
ISBN: 3709129419
Category : Technology & Engineering
Languages : en
Pages : 48

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Book Description


Poroelasticity

Poroelasticity PDF Author: Alexander H.-D. Cheng
Publisher: Springer
ISBN: 331925202X
Category : Science
Languages : en
Pages : 893

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Book Description
This book treats the mechanics of porous materials infiltrated with a fluid (poromechanics), focussing on its linear theory (poroelasticity). Porous materials from inanimate bodies such as sand, soil and rock, living bodies such as plant tissue, animal flesh, or man-made materials can look very different due to their different origins, but as readers will see, the underlying physical principles governing their mechanical behaviors can be the same, making this work relevant not only to engineers but also to scientists across other scientific disciplines. Readers will find discussions of physical phenomena including soil consolidation, land subsidence, slope stability, borehole failure, hydraulic fracturing, water wave and seabed interaction, earthquake aftershock, fluid injection induced seismicity and heat induced pore pressure spalling as well as discussions of seismoelectric and seismoelectromagnetic effects. The work also explores the biomechanics of cartilage, bone and blood vessels. Chapters present theory using an intuitive, phenomenological approach at the bulk continuum level, and a thermodynamics-based variational energy approach at the micromechanical level. The physical mechanisms covered extend from the quasi-static theory of poroelasticity to poroelastodynamics, poroviscoelasticity, porothermoelasticity, and porochemoelasticity. Closed form analytical solutions are derived in details. This book provides an excellent introduction to linear poroelasticity and is especially relevant to those involved in civil engineering, petroleum and reservoir engineering, rock mechanics, hydrology, geophysics, and biomechanics.

Thermodynamique optimale en dimensions physiques finies

Thermodynamique optimale en dimensions physiques finies PDF Author: FEIDT Michel
Publisher: Lavoisier
ISBN: 2746295423
Category : Thermodynamics
Languages : en
Pages : 445

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Book Description
La thermodynamique doit aujourd’hui s’adapter à une problématique plus large, le développement durable. Par le biais d’une approche originale utilisant des outils renouvelés, cet ouvrage apporte des réponses à ce challenge sous deux aspects : - un aspect applicatif, par la méthodologie d'optimisation sous contrainte, qui conduit à des solutions optimales faciles à comparer à l'existant, et dessine les voies et potentiels d'amélioration encore disponibles ; - un aspect fondamental, qui correspond à une vision nouvelle de la thermodynamique des machines et des systèmes. Le livre s'écarte de l'approche classique de thermodynamique de l'équilibre, développée par Carnot, pour adopter une méthode qui allie les descriptions des phénomènes dynamiques de transfert et de conversion. À ces aspects pratiques de la vie courante, s'ajoute une vision plus profonde et fondamentale du monde, en particulier la notion d'évolution, intimement liée au second principe de thermodynamique. L’auteur Ingénieur et physicien, Michel Feidt est enseignant-chercheur en thermodynamique et énergétique à l'université de Lorraine. Il anime aussi une équipe de recherche dédiée aux études des systèmes et procédés énergétiques.

Fracture and Size Effect in Concrete and Other Quasibrittle Materials

Fracture and Size Effect in Concrete and Other Quasibrittle Materials PDF Author: Zdenek P. Bazant
Publisher: Routledge
ISBN: 1351447289
Category : Technology & Engineering
Languages : en
Pages : 648

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Book Description
Fracture and Size Effect in Concrete and Other Quasibrittle Materials is the first in-depth text on the application of fracture mechanics to the analysis of failure in concrete structures. The book synthesizes a vast number of recent research results in the literature to provide a comprehensive treatment of the topic that does not give merely the facts - it provides true understanding. The many recent results on quasibrittle fracture and size effect, which were scattered throughout many periodicals, are compiled here in a single volume. This book presents a well-rounded discussion of the theory of size effect and scaling of failure loads in structures. The size effect, which is the most important practical manifestation of fracture behavior, has become a hot topic. It has gained prominence in current research on concrete and quasibrittle materials. The treatment of every subject in Fracture and Size Effect in Concrete and Other Quasibrittle Materials proceeds from simple to complex, from specialized to general, and is as concise as possible using the simplest level of mathematics necessary to treat the subject clearly and accurately. Whether you are an engineering student or a practicing engineer, this book provides you with a clear presentation, including full derivations and examples, from which you can gain real understanding of fracture and size effect in concrete and other quasibrittle materials.

Proceedings of Symposium on Structural Dynamics Under High Impulse Loading

Proceedings of Symposium on Structural Dynamics Under High Impulse Loading PDF Author:
Publisher:
ISBN:
Category : Aeroelasticity
Languages : en
Pages : 438

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Book Description


Polymer Engineering Science and Viscoelasticity

Polymer Engineering Science and Viscoelasticity PDF Author: Hal F. Brinson
Publisher: Springer
ISBN: 1489974857
Category : Science
Languages : en
Pages : 488

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Book Description
This book provides a unified mechanics and materials perspective on polymers: both the mathematics of viscoelasticity theory as well as the physical mechanisms behind polymer deformation processes. Introductory material on fundamental mechanics is included to provide a continuous baseline for readers from all disciplines. Introductory material on the chemical and molecular basis of polymers is also included, which is essential to the understanding of the thermomechanical response. This self-contained text covers the viscoelastic characterization of polymers including constitutive modeling, experimental methods, thermal response, and stress and failure analysis. Example problems are provided within the text as well as at the end of each chapter. New to this edition: · One new chapter on the use of nano-material inclusions for structural polymer applications and applications such as fiber-reinforced polymers and adhesively bonded structures · Brings up-to-date polymer production and sales data and equipment and procedures for evaluating polymer characterization and classification · The work serves as a comprehensive reference for advanced seniors seeking graduate level courses, first and second year graduate students, and practicing engineers

Physicochemical Mechanics

Physicochemical Mechanics PDF Author: Nikolai Kocherginsky
Publisher: Cambridge University Press
ISBN: 1108421415
Category : Science
Languages : en
Pages : 395

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Book Description


Poromechanics IV

Poromechanics IV PDF Author: Hoe I. Ling
Publisher: DEStech Publications, Inc
ISBN: 1605950068
Category : Science
Languages : en
Pages : 679

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Book Description
Based on the Biot conference, named after Maurice Biot and held at Columbia University, this book contains over 170 original papers on different phases of poromechanics in many materials from soils and minerals to human bone. It covers testing and modeling.