The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering
The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering

Author: Erwin Stein

Publisher: Springer Science & Business Media

Published: 2013-12-04

Total Pages: 487

ISBN-13: 3642399053

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This collection of 23 articles is the output of lectures in special sessions on “The History of Theoretical, Material and Computational Mechanics” within the yearly conferences of the GAMM in the years 2010 in Karlsruhe, Germany, 2011 in Graz, Austria, and in 2012 in Darmstadt, Germany; GAMM is the “Association for Applied Mathematics and Mechanics”, founded in 1922 by Ludwig Prandtl and Richard von Mises. The contributions in this volume discuss different aspects of mechanics. They are related to solid and fluid mechanics in general and to specific problems in these areas including the development of numerical solution techniques. In the first part the origins and developments of conservation principles in mechanics and related variational methods are treated together with challenging applications from the 17th to the 20th century. Part II treats general and more specific aspects of material theories of deforming solid continua and porous soils. and Part III presents important theoretical and engineering developments in fluid mechanics, beginning with remarkable inventions in old Egypt, the still dominating role of the Navier-Stokes PDEs for fluid flows and their complex solutions for a wide field of parameters as well as the invention of pumps and turbines in the 19th and 20th century. The last part gives a survey on the development of direct variational methods – the Finite Element Method – in the 20th century with many extensions and generalizations.

The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering
The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering

Author: Erwin Stein

Publisher: Springer

Published: 2013-12-07

Total Pages: 490

ISBN-13: 9783642399060

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This collection of 23 articles is the output of lectures in special sessions on “The History of Theoretical, Material and Computational Mechanics” within the yearly conferences of the GAMM in the years 2010 in Karlsruhe, Germany, 2011 in Graz, Austria, and in 2012 in Darmstadt, Germany; GAMM is the “Association for Applied Mathematics and Mechanics”, founded in 1922 by Ludwig Prandtl and Richard von Mises. The contributions in this volume discuss different aspects of mechanics. They are related to solid and fluid mechanics in general and to specific problems in these areas including the development of numerical solution techniques. In the first part the origins and developments of conservation principles in mechanics and related variational methods are treated together with challenging applications from the 17th to the 20th century. Part II treats general and more specific aspects of material theories of deforming solid continua and porous soils. and Part III presents important theoretical and engineering developments in fluid mechanics, beginning with remarkable inventions in old Egypt, the still dominating role of the Navier-Stokes PDEs for fluid flows and their complex solutions for a wide field of parameters as well as the invention of pumps and turbines in the 19th and 20th century. The last part gives a survey on the development of direct variational methods – the Finite Element Method – in the 20th century with many extensions and generalizations.

Solid Mechanics
Solid Mechanics

Author: Albrecht Bertram

Publisher: Springer

Published: 2015-06-13

Total Pages: 331

ISBN-13: 3319195662

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This textbook offers an introduction to modeling the mechanical behavior of solids within continuum mechanics and thermodynamics. To illustrate the fundamental principles, the book starts with an overview of the most important models in one dimension. Tensor calculus, which is called for in three-dimensional modeling, is concisely presented in the second part of the book. Once the reader is equipped with these essential mathematical tools, the third part of the book develops the foundations of continuum mechanics right from the beginning. Lastly, the book’s fourth part focuses on modeling the mechanics of materials and in particular elasticity, viscoelasticity and plasticity. Intended as an introductory textbook for students and for professionals interested in self-study, it also features numerous worked-out examples to aid in understanding.

Applied Polymer Science
Applied Polymer Science

Author: Ulf W. Gedde

Publisher: Springer Nature

Published: 2021-10-29

Total Pages: 555

ISBN-13: 3030684725

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This companion volume to “Fundamental Polymer Science” (Gedde and Hedenqvist, 2019) offers detailed insights from leading practitioners into experimental methods, simulation and modelling, mechanical and transport properties, processing, and sustainability issues. Separate chapters are devoted to thermal analysis, microscopy, spectroscopy, scattering methods, and chromatography. Special problems and pitfalls related to the study of polymers are addressed. Careful editing for consistency and cross-referencing among the chapters, high-quality graphics, worked-out examples, and numerous references to the specialist literature make “Applied Polymer Science” an essential reference for advanced students and practicing chemists, physicists, and engineers who want to solve problems with the use of polymeric materials.

Elasticity and Plasticity of Large Deformations
Elasticity and Plasticity of Large Deformations

Author: Albrecht Bertram

Publisher: Springer Nature

Published: 2021-04-07

Total Pages: 410

ISBN-13: 3030723283

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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.

From Creep Damage Mechanics to Homogenization Methods
From Creep Damage Mechanics to Homogenization Methods

Author: Holm Altenbach

Publisher: Springer

Published: 2015-06-03

Total Pages: 606

ISBN-13: 3319194402

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This volume presents a collection of contributions on materials modeling, which were written to celebrate the 65th birthday of Prof. Nobutada Ohno. The book follows Prof. Ohno’s scientific topics, starting with creep damage problems and ending with homogenization methods.

Mechanical and Industrial Engineering
Mechanical and Industrial Engineering

Author: J. Paulo Davim

Publisher: Springer Nature

Published: 2021-12-01

Total Pages: 217

ISBN-13: 3030904873

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This book covers historical aspects and future directions of mechanical and industrial engineering. Chapters of this book include applied mechanics and design, tribology, machining, additive manufacturing and management of industrial technologies.

Direct Methods for Limit State of Materials and Structures
Direct Methods for Limit State of Materials and Structures

Author: Giovanni Garcea

Publisher: Springer Nature

Published: 2023-08-23

Total Pages: 295

ISBN-13: 3031291220

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This book provides an overview of direct methods, such as limit and shakedown analysis, which are intended for avoiding cumbersome step-by-step calculations to determine the limit states of mechanical structures under monotone, cyclic or variable actions with unknown loading history. The book comprises several contributions that demonstrate how tremendous advances in numerical methods, especially in optimization, have contributed to the success of direct methods and their applicability to practical engineering problems in structural mechanics and mechanics of materials. The contents reflect the outcomes of the workshop “Direct Methods for Limit State of Materials and Structures,” held in Cosenza, Italy in June 2022.

Advances in Computational Plasticity
Advances in Computational Plasticity

Author: Eugenio Oñate

Publisher: Springer

Published: 2017-09-09

Total Pages: 443

ISBN-13: 3319608851

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This book brings together some 20 chapters on state-of-the-art research in the broad field of computational plasticity with applications in civil and mechanical engineering, metal forming processes, geomechanics, nonlinear structural analysis, composites, biomechanics and multi-scale analysis of materials, among others. The chapters are written by world leaders in the different fields of computational plasticity.

Viscoplastic Flow in Solids Produced by Shear Banding
Viscoplastic Flow in Solids Produced by Shear Banding

Author: Ryszard B. Pecherski

Publisher: John Wiley & Sons

Published: 2022-05-26

Total Pages: 164

ISBN-13: 1119618630

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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.