Discrete and Continuum Models for Complex Metamaterials

Description

Bringing together contributions on a diverse range of topics, this text explores the relationship between discrete and continuum mechanics as a tool to model new and complex metamaterials. Providing a comprehensive bibliography and historical review of the field, it covers mechanical, acoustic and pantographic metamaterials, discusses Naive Model Theory and Lagrangian discrete models, and their applications, and presents methods for pantographic structures and variational methods for multidisciplinary modeling and computation. The relationship between discrete and continuous models is discussed from both mathematical and engineering viewpoints, making the text ideal for those interested in the foundation of mechanics and computational applications, and innovative viewpoints on the use of discrete systems to model metamaterials are presented for those who want to go deeper into the field. An ideal text for graduate students and researchers interested in continuum approaches to the study of modern materials, in mechanical engineering, civil engineering, applied mathematics, physics, and materials science.

Francesco dell'Isola is a Professor of Structural Mechanics at the Universita degli Studi di Roma 'La Sapienza', Italy, and Director of the International Research Centre of Mathematics and Mechanics of Complex Systems (M&MoCS) at the University of L'Aquila. David J. Steigmann is a Professor in the Department of Mechanical Engineering at the University of California, Berkeley.

'Recent advances in engineering of new challenging materials, such as metamaterials of different kinds, require the appearance of a frontier book in the field. This book is a unique, valuable, and elegantly written contribution to the world of metamaterials and related mathematical models. It could be useful for both beginners and experienced readers.' Victor A. Eremeyev, Gdansk University of Technology 'This book collects together different pieces of the puzzle concerning the modelling of metamaterials by coupling philosophical, modelling and experimental contributions. This viewpoint can attract motivated researchers and stimulate unconventional thinking, going beyond the current limits on metamaterials modelling.' Angela Madeo, Institut National des Sciences Appliquees de Lyon 'The modelling of so-called metamaterials is becoming a hot subject of research. The purpose of this book is to show that modelling can inspire new technological applications in the same way as technological needs usually inspire the development of new models. A vast collection of works on the subject are brought together to push achieve this.' Patrizio Neff, University of Duisburg-Essen 'Recommended.' J. Lambropoulos, Choice Magazine