The Rational Spirit in Modern Continuum Mechanics

The Rational Spirit in Modern Continuum Mechanics PDF Author: Chi-Sing Man
Publisher: Springer Science & Business Media
ISBN: 1402023081
Category : Science
Languages : en
Pages : 828

Get Book Here

Book Description
Through his voluminous and in?uential writings, editorial activities, organi- tional leadership, intellectual acumen, and strong sense of history, Clifford - brose Truesdell III (1919–2000) was the main architect for the renaissance of - tional continuum mechanics since the middle of the twentieth century. The present collection of 42 essays and research papers pays tribute to this man of mathematics, science, and natural philosophy as well as to his legacy. The ?rst ?ve essays by B. D. Coleman, E. Giusti, W. Noll, J. Serrin, and D. Speiser were texts of addresses given by their authors at the Meeting in memory of Clifford Truesdell, which was held in Pisa in November 2000. In these essays the reader will ?nd personal reminiscences of Clifford Truesdell the man and of some of his activities as scientist, author, editor, historian of exact sciences, and principal founding member of the Society for Natural Philosophy. The bulk of the collection comprises 37 research papers which bear witness to the Truesdellian legacy. These papers cover a wide range of topics; what ties them together is the rational spirit. Clifford Truesdell, in his address upon receipt of a Birkhoff Prize in 1978, put the essence of modern continuum mechanics succinctly as “conceptual analysis, analysis not in the sense of the technical term but in the root meaning: logical criticism, dissection, and creative scrutiny.

The Rational Spirit in Modern Continuum Mechanics

The Rational Spirit in Modern Continuum Mechanics PDF Author: Chi-Sing Man
Publisher: Springer Science & Business Media
ISBN: 1402023081
Category : Science
Languages : en
Pages : 828

Get Book Here

Book Description
Through his voluminous and in?uential writings, editorial activities, organi- tional leadership, intellectual acumen, and strong sense of history, Clifford - brose Truesdell III (1919–2000) was the main architect for the renaissance of - tional continuum mechanics since the middle of the twentieth century. The present collection of 42 essays and research papers pays tribute to this man of mathematics, science, and natural philosophy as well as to his legacy. The ?rst ?ve essays by B. D. Coleman, E. Giusti, W. Noll, J. Serrin, and D. Speiser were texts of addresses given by their authors at the Meeting in memory of Clifford Truesdell, which was held in Pisa in November 2000. In these essays the reader will ?nd personal reminiscences of Clifford Truesdell the man and of some of his activities as scientist, author, editor, historian of exact sciences, and principal founding member of the Society for Natural Philosophy. The bulk of the collection comprises 37 research papers which bear witness to the Truesdellian legacy. These papers cover a wide range of topics; what ties them together is the rational spirit. Clifford Truesdell, in his address upon receipt of a Birkhoff Prize in 1978, put the essence of modern continuum mechanics succinctly as “conceptual analysis, analysis not in the sense of the technical term but in the root meaning: logical criticism, dissection, and creative scrutiny.

The Rational Spirit in Modern Continuum Mechanics

The Rational Spirit in Modern Continuum Mechanics PDF Author: Chi-Sing Man
Publisher:
ISBN: 9789048100095
Category :
Languages : en
Pages : 856

Get Book Here

Book Description


Elasticity and Plasticity of Large Deformations

Elasticity and Plasticity of Large Deformations PDF Author: Albrecht Bertram
Publisher: Springer Nature
ISBN: 3030723283
Category : Science
Languages : en
Pages : 423

Get Book Here

Book Description
This book presents an introduction to material theory and, in particular, to elasticity, plasticity and viscoelasticity, to bring the reader close to the frontiers of today’s knowledge in these particular fields. It starts right from the beginning without assuming much knowledge of the subject. Hence, the book is generally comprehensible to all engineers, physicists, mathematicians, and others. At the beginning of each new section, a brief Comment on the Literature contains recommendations for further reading. This book includes an updated reference list and over 100 changes throughout the book. It contains the latest knowledge on the subject. Two new chapters have been added in this new edition. Now finite viscoelasticity is included, and an Essay on gradient materials, which have recently drawn much attention.

Viscoplastic Flow in Solids Produced by Shear Banding

Viscoplastic Flow in Solids Produced by Shear Banding PDF Author: Ryszard B. Pecherski
Publisher: John Wiley & Sons
ISBN: 1119618630
Category : Science
Languages : en
Pages : 164

Get Book Here

Book Description
VISCOPLASTIC FLOW IN SOLIDS PRODUCED BYSHEAR BANDING A complete overview of the topic of viscoplastic flow in solids produced by shear banding This book presents novel ideas about inelastic deformation and failure of solids in a clear, concise manner. It exposes readers to information that will allow them to acquire the competence and ability to deal with up-to-date manufacturing and failure processes. It also portrays a new understanding of deformation processes. Finally, shear banding’s typical mechanism becomes the active cause of viscoplastic flow and not the passive effect. Viscoplastic Flow in Solids Produced by Shear Banding begins by discussing the new physical model of multilevel hierarchy and the evolution of micro-shear bands. In conclusion, it examines the difficulties of applying a direct multiscale integration scheme and extends the representative volume element (RVE) concept using the general theory of the singular surfaces of the microscopic velocity field sweeping out the RVE. This book reveals a new formulation of the shear strain rate generated by the consecutive systems of shear bands in the workflow integration approach. This book: Presents fresh ideas about inelastic deformation and failure of materials Provides readers with the ability to deal with up-to-date manufacturing and failure processes Sheds light on the interdisciplinary view of deformation processes in solids Viscoplastic Flow in Solids Produced by Shear Banding will appeal to researchers studying physical foundations of inelastic behaviour and failure of solid materials, dealing with analysis and numerical simulations of manufacturing forming processes. It is also an excellent resource for graduate and postgraduate students of material science and mechanical engineering faculties.

Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1518

Get Book Here

Book Description


Continuum Mechanics and Theory of Materials

Continuum Mechanics and Theory of Materials PDF Author: Peter Haupt
Publisher: Springer Science & Business Media
ISBN: 3662047756
Category : Technology & Engineering
Languages : en
Pages : 666

Get Book Here

Book Description
The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.

Applied Mechanics Reviews

Applied Mechanics Reviews PDF Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 542

Get Book Here

Book Description


The State of Deformation in Earthlike Self-Gravitating Objects

The State of Deformation in Earthlike Self-Gravitating Objects PDF Author: Wolfgang H. Müller
Publisher: Springer
ISBN: 3319325809
Category : Science
Languages : en
Pages : 117

Get Book Here

Book Description
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.

Contemporary Developments in Continuum Mechanics and Partial Differential Equations

Contemporary Developments in Continuum Mechanics and Partial Differential Equations PDF Author:
Publisher: Elsevier
ISBN: 0080871410
Category : Mathematics
Languages : en
Pages : 623

Get Book Here

Book Description
Contemporary Developments in Continuum Mechanics and Partial Differential Equations

Continuum Mechanics Through the Twentieth Century

Continuum Mechanics Through the Twentieth Century PDF Author: Gerard A Maugin
Publisher: Springer Science & Business Media
ISBN: 9400763530
Category : Science
Languages : en
Pages : 321

Get Book Here

Book Description
This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.