Generalized Continua as Models for Classical and Advanced Materials

Generalized Continua as Models for Classical and Advanced Materials

Author: Holm Altenbach

Publisher: Springer

Published: 2016-04-15

Total Pages: 456

ISBN-13: 3319317210

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This volume is devoted to an actual topic which is the focus world-wide of various research groups. It contains contributions describing the material behavior on different scales, new existence and uniqueness theorems, the formulation of constitutive equations for advanced materials. The main emphasis of the contributions is directed on the following items - Modelling and simulation of natural and artificial materials with significant microstructure, - Generalized continua as a result of multi-scale models, - Multi-field actions on materials resulting in generalized material models, - Theories including higher gradients, and - Comparison with discrete modelling approaches


Higher Gradient Materials and Related Generalized Continua

Higher Gradient Materials and Related Generalized Continua

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2019-11-04

Total Pages: 246

ISBN-13: 303030406X

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This book discusses recent findings and advanced theories presented at two workshops at TU Berlin in 2017 and 2018. It underlines several advantages of generalized continuum models compared to the classical Cauchy continuum, which although widely used in engineering practice, has a number of limitations, such as: • The structural size is very small. • The microstructure is complex. • The effects are localized. As such, the development of generalized continuum models is helpful and results in a better description of the behavior of structures or materials. At the same time, there are more and more experimental studies supporting the new models because the number of material parameters is higher.


Dynamics, Strength of Materials and Durability in Multiscale Mechanics

Dynamics, Strength of Materials and Durability in Multiscale Mechanics

Author: Francesco dell'Isola

Publisher: Springer Nature

Published: 2020-11-01

Total Pages: 403

ISBN-13: 3030537552

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This book reviews the mathematical modeling and experimental study of systems involving two or more different length scales. The effects of phenomena occurring at the lower length scales on the behavior at higher scales are of intrinsic scientific interest, but can also be very effectively used to determine the behavior at higher length scales or at the macro-level. Efforts to exploit this micro- and macro-coupling are, naturally, being pursued with regard to every aspect of mechanical phenomena. This book focuses on the changes imposed on the dynamics, strength of materials and durability of mechanical systems by related multiscale phenomena. In particular, it addresses: 1: the impacts of effective dissipation due to kinetic energy trapped at lower scales 2: wave propagation in generalized continua 3: nonlinear phenomena in metamaterials 4: the formalization of more general models to describe the exotic behavior of meta-materials 5: the design and study of microstructures aimed at increasing the toughness and durability of novel materials


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.


Evaluation of Scientific Sources in Mechanics

Evaluation of Scientific Sources in Mechanics

Author: Francesco dell'Isola

Publisher: Springer Nature

Published: 2021-08-12

Total Pages: 377

ISBN-13: 3030805506

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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.


Theoretical Analyses, Computations, and Experiments of Multiscale Materials

Theoretical Analyses, Computations, and Experiments of Multiscale Materials

Author: Ivan Giorgio

Publisher: Springer Nature

Published: 2022-05-03

Total Pages: 739

ISBN-13: 3031045483

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This book is devoted to the 60th birthday of the Prof. Francesco dell’Isola, who is known for his long-term contribution in the field of multiscale materials. It contains several contributions from researchers in the field, covering theoretical analyses, computational aspects and experiments.


State of the Art and Future Trends in Material Modeling

State of the Art and Future Trends in Material Modeling

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2019-10-23

Total Pages: 530

ISBN-13: 3030303551

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This special anniversary book celebrates the success of this Springer book series highlighting materials modeling as the key to developing new engineering products and applications. In this 100th volume of “Advanced Structured Materials”, international experts showcase the current state of the art and future trends in materials modeling, which is essential in order to fulfill the demanding requirements of next-generation engineering tasks.


Advanced Problems in Mechanics

Advanced Problems in Mechanics

Author: D.A. Indeitsev

Publisher: Springer Nature

Published: 2020-07-15

Total Pages: 273

ISBN-13: 3030498824

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This book focuses on original theories and approaches in the field of mechanics. It reports on both theoretical and applied research, with a special emphasis on problems and solutions at the interfaces of mechanics and other research areas. The respective chapters highlight cutting-edge works fostering development in fields such as micro- and nanomechanics, material science, physics of solid states, molecular physics, astrophysics, and many others. Special attention has been given to outstanding research conducted by young scientists from all over the world. Based on the 47th edition of the international conference “Advanced Problems in Mechanics”, held on June 24–29, 2019, in St. Petersburg, Russia, and organized by Peter the Great St. Petersburg Polytechnic University and Institute for Problems in Mechanical Engineering of Russian Academy of Sciences under the patronage of Russian Academy of Sciences, the book provides researchers and graduate students with an extensive overview of the latest research and a source of inspiration for future developments in various fields of mechanics.


Discrete and Continuum Models for Complex Metamaterials

Discrete and Continuum Models for Complex Metamaterials

Author: Francesco dell'Isola

Publisher: Cambridge University Press

Published: 2020-03-12

Total Pages: 409

ISBN-13: 1107087732

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Explores the relationship between discrete and continuum mechanics as a tool to model new and complex metamaterials. Including a comprehensive bibliography and historical review of the field, and a pedagogical mathematical treatment, it is ideal for graduate students and researchers in mechanical and civil engineering, and materials science.


Advances in Nonlinear Dynamics

Advances in Nonlinear Dynamics

Author: Walter Lacarbonara

Publisher: Springer Nature

Published: 2022-03-01

Total Pages: 598

ISBN-13: 3030811700

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This third of three volumes includes papers from the second series of NODYCON, which was held virtually in February of 2021. The conference papers reflect a broad coverage of topics in nonlinear dynamics, ranging from traditional topics from established streams of research to those from relatively unexplored and emerging venues of research. These include · Complex dynamics of COVID-19: modeling, prediction and control · Nonlinear phenomena in bio-systems and eco-systems · Energy harvesting · MEMS/NEMS · Multifunctional structures, materials and metamaterials · Nonlinear waves · Chaotic systems, stochasticity, and uncertainty