Collected Papers of R.S. Rivlin PDF Download
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Author: Grigory I. Barenblatt
Publisher: Springer Science & Business Media
ISBN: 1461224160
Category : Technology & Engineering
Languages : en
Pages : 2868
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Book Description
R.S. Rivlin is one of the principal architects of nonlinear continuum mechanics: His work on the mechanics of rubber (in the 1940s and 50s) established the basis of finite elasticity theory. These volumes make most of his scientific papers available again and show the full scope and significance of his contributions.
Author: Grigory I. Barenblatt
Publisher: Springer Science & Business Media
ISBN: 1461224160
Category : Technology & Engineering
Languages : en
Pages : 2868
Get Book Here
Book Description
R.S. Rivlin is one of the principal architects of nonlinear continuum mechanics: His work on the mechanics of rubber (in the 1940s and 50s) established the basis of finite elasticity theory. These volumes make most of his scientific papers available again and show the full scope and significance of his contributions.
Author: Ronald S. Rivlin
Publisher: Springer Science & Business Media
ISBN: 9780387948256
Category : Mathematics
Languages : en
Pages : 2906
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Book Description
R.S. Rivlin is one of the principal architects of nonlinear continuum mechanics: His work on the mechanics of rubber (in the 1940s and 50s) established the basis of finite elasticity theory. These volumes make most of his scientific papers available again and show the full scope and significance of his contributions.
Author: Albert Edward Green
Publisher: Oxford University Press, USA
ISBN:
Category : Science
Languages : en
Pages : 348
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Book Description
Author: Larry Alan Taber
Publisher: World Scientific
ISBN: 9812794220
Category : Science
Languages : en
Pages : 417
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Book Description
Soft biological tissues often undergo large (nearly) elastic deformations that can be analyzed using the nonlinear theory of elasticity. Because of the varied approaches to nonlinear elasticity in the literature, some aspects of the subject may be difficult to appreciate. This book attempts to clarify and unify those treatments, illustrating the advantages and disadvantages of each through various examples in the mechanics of soft tissues. Applications include muscle, arteries, the heart, and embryonic tissues. Contents: Vectors, Dyadics, and Tensors; Analysis of Deformation; Analysis of Stress; Constitutive Relations; Biomechanics Applications. Readership: Graduate students and researchers interested in mechanics problems involving large elastic deformations, like those in soft tissue biomechanics.
Author: Manoj Kumar Patel
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111313875
Category : Mathematics
Languages : en
Pages : 658
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Book Description
This volume documents the contributions presented at The ICRTMPCS II International Conference on Advances in Mathematical and Computational Sciences. Entries focus on modern trends and techniques in branches of pure and applied mathematics, statistics, and computer science. Highlighting applications in coding theory, cryptography, graph theory, fuzzy theory, variance analysis, data analysis, and sampling theory.
Author: José Merodio
Publisher: EOLSS Publications
ISBN: 1848263732
Category :
Languages : en
Pages : 446
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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.
Author: Larry A. Taber
Publisher: Springer Nature
ISBN: 3030432092
Category : Technology & Engineering
Languages : en
Pages : 545
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Book Description
This book examines key theoretical tools that are currently used to develop mathematical models as an aid in understanding the biological response of cells and tissues to mechanical stimuli. Problems in growth and remodeling, tissue and organ development, and functional adaptation are all covered. Chapters on tensor analysis and nonlinear elasticity provide the necessary background for understanding the engineering theories that are currently used to solve challenges in mechanobiology. This is an ideal book for biomechanical engineers who work on problems in mechanobiology and tissue engineering.
Author: R.I. Tanner
Publisher: Elsevier
ISBN: 9780444829467
Category : Science
Languages : en
Pages : 272
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Book Description
The science of rheology remains a mystery to most people, even to some scientists. Some respectable dictionaries have been quite cavalier in their attitude to the science, the small Collins Gem dictionary, for example, being quite happy to inform us that a Rhea is an three-toed South American ostrich, whilst at the same time offering no definition of rheology. This maybe due to the fact that the science is interdisciplinary and does not fit well into any one of the historical disciplines. This book contains an in-depth study of the history of rheology, beginning with the statements of Heraclitus, Confucius and the prophetess Deborah. It also emphasises the distinctive contributions of Newton, Hooke, Boltzmann, Maxwell, Kelvin and others, and culminates in the flourishing activity in the second half of this century. Features of this book: . Is the only book on the subject . Prevents the rediscovery of results already made . Will educate newcomers to the field to the rich heritage in even a relatively recent science like rheology. The book will be invaluable for science and scientific history libraries and will also be of interest to rheologists, and scientists working in the polymer processing, food, lubrication, detergent and similar industries.
Author: Francesco dell'Isola
Publisher: Springer Nature
ISBN: 3030805506
Category : Science
Languages : en
Pages : 384
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Book Description
This book evaluates the importance of various historical sources and discusses their role in the creation and transmission of scientific knowledge. It presents an annotated translation of the introductory words given by Johan Ludvig Heiberg to his translation of the works of Archimedes. Further, it offers English translations of and commentaries on selected fundamental works by Ernst Hellinger and Gabrio Piola, which lay the groundwork for the modern theory of advanced materials, and also examines the criteria used to evaluate scientific works.
Author: Kevin Kendall
Publisher: Elsevier
ISBN: 0128215070
Category : Technology & Engineering
Languages : en
Pages : 310
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Book Description
Crack Control: Using Fracture Theory to Create Tough New Materials goes beyond just trying to understand the origin of cracks and fracture in materials by also providing readers with the knowledge and techniques required to stop cracks at the nano- and micro-levels, covering the fundamentals of crack propagation, prevention, and healing. The book starts by providing a concise foundational overview of cracks and fracture mechanics, then looks at real-life ways that new tougher materials have been developed via crack inhibition. Topics such as crack equilibrium, stress criterion, and stress equations are then outlined, as are methods for inventing new crack-resistant materials. The importance of crack healing is emphasized and cracks that grow under tension, bending, compression, crazing, and adhesion are discussed at length as well - Provides a better understanding of crack formation in various materials allowing for more efficient investigations of crack-based material or structural failure - Demonstrates how to prevent cracks by arresting them at the nano- and micro-levels - Looks at methods for developing new tougher and stronger materials through crack inhibition - Emphasizes the importance of crack healing and explains crack stopping through changing the peel shape in various ways
