Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies
Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies

Author: Leonid M. Zubov

Publisher: Springer Science & Business Media

Published: 2008-09-11

Total Pages: 207

ISBN-13: 3540684301

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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
Advances in Linear and Nonlinear Continuum and Structural Mechanics

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2023-12-03

Total Pages: 593

ISBN-13: 303143210X

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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
Advanced Methods of Continuum Mechanics for Materials and Structures

Author: Konstantin Naumenko

Publisher: Springer

Published: 2016-05-12

Total Pages: 555

ISBN-13: 9811009597

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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.

Advances in Mechanics of Microstructured Media and Structures
Advances in Mechanics of Microstructured Media and Structures

Author: Francesco dell'Isola

Publisher: Springer

Published: 2018-02-27

Total Pages: 368

ISBN-13: 3319736949

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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.

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

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2022-01-01

Total Pages: 326

ISBN-13: 3030871851

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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.

Sixty Shades of Generalized Continua
Sixty Shades of Generalized Continua

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2023-02-13

Total Pages: 781

ISBN-13: 3031261860

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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.

Non-Classical Continuum Mechanics
Non-Classical Continuum Mechanics

Author: Gérard A. Maugin

Publisher: Springer

Published: 2016-09-24

Total Pages: 268

ISBN-13: 9811024340

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This dictionary offers clear and reliable explanations of over 100 keywords covering the entire field of non-classical continuum mechanics and generalized mechanics, including the theory of elasticity, heat conduction, thermodynamic and electromagnetic continua, as well as applied mathematics. Every entry includes the historical background and the underlying theory, basic equations and typical applications. The reference list for each entry provides a link to the original articles and the most important in-depth theoretical works. Last but not least, ever y entry is followed by a cross-reference to other related subject entries in the dictionary.

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

Author: Sergei M. Aizikovich

Publisher: Springer Nature

Published: 2020-08-12

Total Pages: 197

ISBN-13: 3030481611

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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.

Recent Developments in the Theory of Shells
Recent Developments in the Theory of Shells

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2019-09-25

Total Pages: 799

ISBN-13: 3030177475

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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.

Foundations of Micropolar Mechanics
Foundations of Micropolar Mechanics

Author: Victor A. Eremeyev

Publisher: Springer Science & Business Media

Published: 2012-07-25

Total Pages: 145

ISBN-13: 3642283535

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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.