Nonlinear Theory Of Dislocations And Disclinations In Elastic Bodies

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Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies

Leonid M. Zubov
Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies Book PDF

Author : Leonid M. Zubov
Publisher : Springer Science & Business Media
Page : 207 pages
File Size : 52,8 Mb
Release : 2008-09-11
Category : Science
ISBN : 9783540684305

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Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies by Leonid M. Zubov Pdf

The author applies methods of nonlinear elasticity to investigate the defects in the crystal structure of solids such as dislocations and disclinations that characterize the plastic and strength properties of many materials. Contrary to the geometrically motivated nonlinear theory of dislocations continuously distributed over the body, nonlinear analysis of isolated dislocations and disclinations is less developed; it is given for the first time in this book, and in a form accessible to both students and researchers. The general theory of Volterra's dislocations in elastic media under large deformations is developed. A number of exact solutions are found. The nonlinear approach to investigating the isolated defects produces results that often differ qualitatively from those of the linear theory.

Advances in Linear and Nonlinear Continuum and Structural Mechanics

Holm Altenbach,Victor Eremeyev
Advances in Linear and Nonlinear Continuum and Structural Mechanics Book PDF

Author : Holm Altenbach,Victor Eremeyev
Publisher : Springer Nature
Page : 593 pages
File Size : 43,5 Mb
Release : 2023-12-03
Category : Science
ISBN : 9783031432101

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Advances in Linear and Nonlinear Continuum and Structural Mechanics by Holm Altenbach,Victor Eremeyev Pdf

This book offers a current image of modern mechanics. The book reflects current state of the art in the field of continuum mechanics and mechanics of structures including recent achievements in classic and non-classic approaches. The chapters are written by leading specialist in the field, so the book collects cutting edge investigations in the field. As a target we consider the society starting from beginners, i.e. master and PhD students, and also leaders in the field, that is professors of universities and civil, mechanical and aerospace engineers.

Advanced Methods of Continuum Mechanics for Materials and Structures

Konstantin Naumenko,Marcus Aßmus
Advanced Methods of Continuum Mechanics for Materials and Structures Book PDF

Author : Konstantin Naumenko,Marcus Aßmus
Publisher : Springer
Page : 558 pages
File Size : 55,7 Mb
Release : 2016-05-12
Category : Science
ISBN : 9789811009594

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Advanced Methods of Continuum Mechanics for Materials and Structures by Konstantin Naumenko,Marcus Aßmus Pdf

This volume presents a collection of contributions on advanced approaches of continuum mechanics, which were written to celebrate the 60th birthday of Prof. Holm Altenbach. The contributions are on topics related to the theoretical foundations for the analysis of rods, shells and three-dimensional solids, formulation of constitutive models for advanced materials, as well as development of new approaches to the modeling of damage and fractures.

Recent Developments in the Theory of Shells

Holm Altenbach,Jacek Chróścielewski,Victor A. Eremeyev,Krzysztof Wiśniewski
Recent Developments in the Theory of Shells Book PDF

Author : Holm Altenbach,Jacek Chróścielewski,Victor A. Eremeyev,Krzysztof Wiśniewski
Publisher : Springer Nature
Page : 798 pages
File Size : 53,8 Mb
Release : 2019-09-25
Category : Technology & Engineering
ISBN : 9783030177478

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Recent Developments in the Theory of Shells by Holm Altenbach,Jacek Chróścielewski,Victor A. Eremeyev,Krzysztof Wiśniewski Pdf

This book commemorates the 80th birthday of Prof. W. Pietraszkiewicz, a prominent specialist in the field of general shell theory. Reflecting Prof. Pietraszkiewicz’s focus, the respective papers address a range of current problems in the theory of shells. In addition, they present other structural mechanics problems involving dimension-reduced models. Lastly, several applications are discussed, including material models for such dimension-reduced structures.

Sixty Shades of Generalized Continua

Holm Altenbach,Arkadi Berezovski,Francesco dell'Isola,Alexey Porubov
Sixty Shades of Generalized Continua Book PDF

Author : Holm Altenbach,Arkadi Berezovski,Francesco dell'Isola,Alexey Porubov
Publisher : Springer Nature
Page : 781 pages
File Size : 44,6 Mb
Release : 2023-02-13
Category : Science
ISBN : 9783031261862

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Sixty Shades of Generalized Continua by Holm Altenbach,Arkadi Berezovski,Francesco dell'Isola,Alexey Porubov Pdf

In this book, well-known scientists discuss modern aspects of generalized continua, in order to better understand modern materials and advanced structures. They possess complicated internal structure, and it requires the development of new approaches to model such structures and new effects caused by it. This book combines fundamental contributions in honor of Victor Eremeyev and his 60th birthday.

Modeling, Synthesis and Fracture of Advanced Materials for Industrial and Medical Applications

Sergei M. Aizikovich,Holm Altenbach,Victor Eremeyev,Michael Vincent Swain,Alexander Galybin
Modeling Synthesis and Fracture of Advanced Materials for Industrial and Medical Applications Book PDF

Author : Sergei M. Aizikovich,Holm Altenbach,Victor Eremeyev,Michael Vincent Swain,Alexander Galybin
Publisher : Springer Nature
Page : 187 pages
File Size : 43,8 Mb
Release : 2020-08-12
Category : Technology & Engineering
ISBN : 9783030481612

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Modeling, Synthesis and Fracture of Advanced Materials for Industrial and Medical Applications by Sergei M. Aizikovich,Holm Altenbach,Victor Eremeyev,Michael Vincent Swain,Alexander Galybin Pdf

This book gathers papers presented at the international workshop PMSDAM’19. The respective contributions offer valuable insights for researchers working on numerical solutions to advanced materials problems. The problems concerning the remineralization of teeth are considered. Of particular interest are articles exploring topics at the interface of different disciplines.

Theory of Elasticity and Plasticity

Valentin Molotnikov,Antonina Molotnikova
Theory of Elasticity and Plasticity Book PDF

Author : Valentin Molotnikov,Antonina Molotnikova
Publisher : Springer Nature
Page : 447 pages
File Size : 49,9 Mb
Release : 2021-04-12
Category : Science
ISBN : 9783030666224

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Theory of Elasticity and Plasticity by Valentin Molotnikov,Antonina Molotnikova Pdf

This book serves as a core text for university curricula in solid body mechanics and, at the same time, examines the main achievements of state of the art research in the mechanics of elastic and non-elastic materials. This latter goal of the book is achieved through rich bibliographic references, many from the authors’ own work. authors. Distinct from similar texts, there are no claims in this volume to a single universal theory of plasticity. However, solutions are given to some new problems and to the construction of models useful both in pedagogic terms for students and practical terms for professional design engineers. Examples include the authors’ decisions about the Brazilian test, stability of rock exposure, and pile foundations. Designed for both upper-level university students and specialists in the mechanics of deformable hard body, the material in this book serves as a source for numerous topics of course and diploma concentration.

Foundations of Micropolar Mechanics

Victor A. Eremeyev,Leonid P. Lebedev,Holm Altenbach
Foundations of Micropolar Mechanics Book PDF

Author : Victor A. Eremeyev,Leonid P. Lebedev,Holm Altenbach
Publisher : Springer Science & Business Media
Page : 145 pages
File Size : 41,9 Mb
Release : 2012-07-25
Category : Science
ISBN : 9783642283536

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Foundations of Micropolar Mechanics by Victor A. Eremeyev,Leonid P. Lebedev,Holm Altenbach Pdf

The book presents foundations of the micropolar continuum mechanics including a short but comprehensive introduction of stress and strain measures, derivation of motion equations and discussion of the difference between Cosserat and classical (Cauchy) continua, and the discussion of more specific problems related to the constitutive modeling, i.e. constitutive inequalities, symmetry groups, acceleration waves, etc.

Recent Approaches in the Theory of Plates and Plate-Like Structures

Holm Altenbach,Svetlana Bauer,Victor A. Eremeyev,Gennadi I. Mikhasev,Nikita F. Morozov
Recent Approaches in the Theory of Plates and Plate Like Structures Book PDF

Author : Holm Altenbach,Svetlana Bauer,Victor A. Eremeyev,Gennadi I. Mikhasev,Nikita F. Morozov
Publisher : Springer Nature
Page : 326 pages
File Size : 51,9 Mb
Release : 2022-01-01
Category : Technology & Engineering
ISBN : 9783030871857

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Recent Approaches in the Theory of Plates and Plate-Like Structures by Holm Altenbach,Svetlana Bauer,Victor A. Eremeyev,Gennadi I. Mikhasev,Nikita F. Morozov Pdf

This book presents the various approaches in establishment the basic equations of one- and two-dimensional structural elements. In addition, the boundaries of validity of the theories and the estimation of errors in approximate theories are given. Many contributions contain not only new theories, but also new applications, which makes the book interesting for researcher and graduate students.

Geometric Continuum Mechanics

Reuven Segev,Marcelo Epstein
Geometric Continuum Mechanics Book PDF

Author : Reuven Segev,Marcelo Epstein
Publisher : Springer Nature
Page : 416 pages
File Size : 52,9 Mb
Release : 2020-05-13
Category : Mathematics
ISBN : 9783030426835

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Geometric Continuum Mechanics by Reuven Segev,Marcelo Epstein Pdf

This contributed volume explores the applications of various topics in modern differential geometry to the foundations of continuum mechanics. In particular, the contributors use notions from areas such as global analysis, algebraic topology, and geometric measure theory. Chapter authors are experts in their respective areas, and provide important insights from the most recent research. Organized into two parts, the book first covers kinematics, forces, and stress theory, and then addresses defects, uniformity, and homogeneity. Specific topics covered include: Global stress and hyper-stress theories Applications of de Rham currents to singular dislocations Manifolds of mappings for continuum mechanics Kinematics of defects in solid crystals Geometric Continuum Mechanics will appeal to graduate students and researchers in the fields of mechanics, physics, and engineering who seek a more rigorous mathematical understanding of the area. Mathematicians interested in applications of analysis and geometry will also find the topics covered here of interest.

Shell Structures: Theory and Applications (Vol. 2)

Wojciech Pietraszkiewicz,Ireneusz Kreja
Shell Structures Theory and Applications Vol 2 Book PDF

Author : Wojciech Pietraszkiewicz,Ireneusz Kreja
Publisher : CRC Press
Page : 361 pages
File Size : 48,5 Mb
Release : 2009-09-22
Category : Technology & Engineering
ISBN : 9780203859766

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Shell Structures: Theory and Applications (Vol. 2) by Wojciech Pietraszkiewicz,Ireneusz Kreja Pdf

Shell Structures. Theory and Applications, Volume 2 contains 77 contributions from over 17 countries, reflecting a wide spectrum of scientific and engineering problems of shell structures. The papers are divided into six broad groups: 1. General lectures; 2. Theoretical modeling; 3. Stability; 4. Dynamics; 5. Numerical analysis; 6. Engineering

Shell Structures: Theory and Applications Volume 4

Wojciech Pietraszkiewicz,Wojciech Witkowski
Shell Structures Theory and Applications Volume 4 Book PDF

Author : Wojciech Pietraszkiewicz,Wojciech Witkowski
Publisher : CRC Press
Page : 574 pages
File Size : 54,8 Mb
Release : 2017-10-30
Category : Technology & Engineering
ISBN : 9781351680486

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Shell Structures: Theory and Applications Volume 4 by Wojciech Pietraszkiewicz,Wojciech Witkowski Pdf

Shells are basic structural elements of modern technology and everyday life. Examples of shell structures in technology include automobile bodies, water and oil tanks, pipelines, silos, wind turbine towers, and nanotubes. Nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes or wings of insects. In the human body arteries, the eye shell, the diaphragm, the skin and the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 4 contains 132 contributions presented at the 11th Conference on Shell Structures: Theory and Applications (Gdansk, Poland, 11-13 October 2017). The papers reflect a wide spectrum of scientific and engineering problems from theoretical modelling through strength, stability and dynamic behaviour, numerical analyses, biomechanic applications up to engineering design of shell structures. Shell Structures: Theory and Applications, Volume 4 will be of interest to academics, researchers, designers and engineers dealing with modelling and analyses of shell structures. It may also provide supplementary reading to graduate students in Civil, Mechanical, Naval and Aerospace Engineering.

Generalized Continua as Models for Materials

Holm Altenbach,Samuel Forest,Anton Krivtsov
Generalized Continua as Models for Materials Book PDF

Author : Holm Altenbach,Samuel Forest,Anton Krivtsov
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 48,8 Mb
Release : 2014-07-08
Category : Science
ISBN : 9783642363948

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Generalized Continua as Models for Materials by Holm Altenbach,Samuel Forest,Anton Krivtsov Pdf

This volume presents contributions describing the micro- and macro-behaviours, new existence and uniqueness theorems, the formulation of multi-scale problems, etc. and now it is time to ponder again the state of matter and to discuss new trends and applications. The main focus is directed on the following items - Modelling and simulation of materials with significant microstructure, - Generalized continua as a result of multi-scale models, - Multi-field actions on materials resulting in generalized material models, and - Comparison with discrete modelling approaches

Mechanics of Generalized Continua

Holm Altenbach,Gérard A. Maugin,Vladimir Erofeev
Mechanics of Generalized Continua Book PDF

Author : Holm Altenbach,Gérard A. Maugin,Vladimir Erofeev
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 41,9 Mb
Release : 2011-04-02
Category : Technology & Engineering
ISBN : 9783642192197

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Mechanics of Generalized Continua by Holm Altenbach,Gérard A. Maugin,Vladimir Erofeev Pdf

This collection on „Mechanics of Generalized Continua - from Micromechanical Basics to Engineering Applications“ brings together leading scientists in this field from France, Russian Federation, and Germany. The attention in this publication is be focussed on the most recent research items, i.e., - new models, - application of well-known models to new problems, - micro-macro aspects, - computational effort, - possibilities to identify the constitutive equations, and - old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Advances in Mechanics of Microstructured Media and Structures

Francesco dell'Isola,Victor A. Eremeyev,Alexey Porubov
Advances in Mechanics of Microstructured Media and Structures Book PDF

Author : Francesco dell'Isola,Victor A. Eremeyev,Alexey Porubov
Publisher : Springer
Page : 369 pages
File Size : 55,7 Mb
Release : 2018-02-27
Category : Science
ISBN : 9783319736945

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Advances in Mechanics of Microstructured Media and Structures by Francesco dell'Isola,Victor A. Eremeyev,Alexey Porubov Pdf

This book is an homage to the pioneering works of E. Aero and G. Maugin in the area of analytical description of generalized continua. It presents a collection of contributions on micropolar, micromorphic and strain gradient media, media with internal variables, metamaterials, beam lattices, liquid crystals, and others. The main focus is on wave propagation, stability problems, homogenization, and relations between discrete and continuous models.