Generalized Continuum Mechanics and Engineering Applications

The new concept of metamaterial is increasingly attracting the interest of physicists and mechanical engineers. Such materials are obtained by suitably assembling multiple individual elements but usually arranged in (quasi-)periodic substructures in order to show exotic global mechanical properties. Indeed, the particular shape, geometry, size, orientation and arrangement of their constituting elements can affect, the propagation of waves of light or sound in a manner not observed in natural materials, creating material properties which may give rise to unexpected engineering applications. Particularly promising in the design and description of metamaterials are those micro-structures which present high contrasts in their mechanical properties: these micro-structures, once homogenized, may produce generalized continuum media, for example, second gradient or micromorphic. Many scientific challenges related to the application of generalized continuum theories to the characterization and conception of high-performance metamaterials can be identified. In this book we identify and discuss four main potential fields of applications of generalized continuum theories, namely, mechanical behavior of fibrous composite reinforcements, wave propagation in metamaterials, mechanical behavior of concrete and mechanically driven remodeling of bone in presence of bio-resorbable materials. For each field, we underline how the use of a generalized continuum theory can be of help for describing how the presence of microstructure can affect the global mechanical behavior of the considered metamaterials. Covers four main fields of the application of continuum theories Learn how to apply generalised continuum theory to describe the effects of microstructure on the mechanical behavior of materials Decipher the material properties which aid your engineering applications

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  • Author : Angela Madeo
  • Publisher : Elsevier
  • Pages : 146 pages
  • ISBN : 0081004672
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKGeneralized Continuum Mechanics and Engineering Applications

Generalized Continuum Mechanics and Engineering Applications

Generalized Continuum Mechanics and Engineering Applications
  • Author : Angela Madeo
  • Publisher : Elsevier
  • Release : 31 October 2015
GET THIS BOOKGeneralized Continuum Mechanics and Engineering Applications

The new concept of metamaterial is increasingly attracting the interest of physicists and mechanical engineers. Such materials are obtained by suitably assembling multiple individual elements but usually arranged in (quasi-)periodic substructures in order to show exotic global mechanical properties. Indeed, the particular shape, geometry, size, orientation and arrangement of their constituting elements can affect, the propagation of waves of light or sound in a manner not observed in natural materials, creating material properties which may give rise to unexpected

Continuum Mechanics Through the Twentieth Century

Continuum Mechanics Through the Twentieth Century
  • Author : Gerard A Maugin
  • Publisher : Springer Science & Business Media
  • Release : 08 April 2013
GET THIS BOOKContinuum Mechanics Through the Twentieth Century

This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other

Generalized Continua - from the Theory to Engineering Applications

Generalized Continua - from the Theory to Engineering Applications
  • Author : Holm Altenbach,Victor A. Eremeyev
  • Publisher : Springer Science & Business Media
  • Release : 17 October 2012
GET THIS BOOKGeneralized Continua - from the Theory to Engineering Applications

On the roots of continuum mechanics in differential geometry -- a review.- Cosserat media.- Cosserat-type shells.- Cosserat-type rods.- Micromorphic media.- Electromagnetism and generalized continua.- Computational methods for generalized continua. The need of generalized continua models is coming from practice. Complex material behavior sometimes cannot be presented by the classical Cauchy continua. At present the attention of the scientists in this field is focused on the most recent research items • new models, • application of well-known

Mechanics of Generalized Continua

Mechanics of Generalized Continua
  • Author : Gérard A. Maugin,Andrei V. Metrikine
  • Publisher : Springer Science & Business Media
  • Release : 24 March 2010
GET THIS BOOKMechanics of Generalized Continua

In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics and can serve

New Achievements in Continuum Mechanics and Thermodynamics

New Achievements in Continuum Mechanics and Thermodynamics
  • Author : Bilen Emek Abali,Holm Altenbach,Francesco dell'Isola,Victor A. Eremeyev,Andreas Öchsner
  • Publisher : Springer
  • Release : 13 March 2019
GET THIS BOOKNew Achievements in Continuum Mechanics and Thermodynamics

This book presents a liber amicorum dedicated to Wolfgang H. Müller, and highlights recent advances in Prof. Müller’s major fields of research: continuum mechanics, generalized mechanics, thermodynamics, mechanochemistry, and geomechanics. Over 50 of Prof. Müller’s friends and colleagues contributed to this book, which commemorates his 60th birthday and was published in recognition of his outstanding contributions.

Mathematical Analysis of Continuum Mechanics and Industrial Applications

Mathematical Analysis of Continuum Mechanics and Industrial Applications
  • Author : Hiromichi Itou,Masato Kimura,Vladimír Chalupecký,Kohji Ohtsuka,Daisuke Tagami,Akira Takada
  • Publisher : Springer
  • Release : 18 November 2016
GET THIS BOOKMathematical Analysis of Continuum Mechanics and Industrial Applications

This book focuses on mathematical theory and numerical simulation related to various aspects of continuum mechanics, such as fracture mechanics, elasticity, plasticity, pattern dynamics, inverse problems, optimal shape design, material design, and disaster estimation related to earthquakes. Because these problems have become more important in engineering and industry, further development of mathematical study of them is required for future applications. Leading researchers with profound knowledge of mathematical analysis from the fields of applied mathematics, physics, seismology, engineering, and industry provide

Geometrical Foundations of Continuum Mechanics

Geometrical Foundations of Continuum Mechanics
  • Author : Paul Steinmann
  • Publisher : Unknown Publisher
  • Release : 01 March 2021
GET THIS BOOKGeometrical Foundations of Continuum Mechanics

This book illustrates the deep roots of the geometrically nonlinear kinematics of generalized continuum mechanics in differential geometry. Besides applications to first- order elasticity and elasto-plasticity an appreciation thereof is particularly illuminating for generalized models of continuum mechanics such as second-order (gradient-type) elasticity and elasto-plasticity. After a motivation that arises from considering geometrically linear first- and second- order crystal plasticity in Part I several concepts from differential geometry, relevant for what follows, such as connection, parallel transport, torsion, curvature, and

Higher Gradient Materials and Related Generalized Continua

Higher Gradient Materials and Related Generalized Continua
  • Author : Holm Altenbach,Wolfgang H. Müller,Bilen Emek Abali
  • Publisher : Springer Nature
  • Release : 04 November 2019
GET THIS BOOKHigher Gradient Materials and Related Generalized Continua

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

Mechanics of Generalized Continua

Mechanics of Generalized Continua
  • Author : E. Kröner
  • Publisher : Springer Science & Business Media
  • Release : 11 November 2013
GET THIS BOOKMechanics of Generalized Continua

5 The symposium was held in Freudenstadt from 28\h to 31 \ ofAugust st nd 1967 and in Stuttgart from 1 to 2 of September 1967. The proposal to hold this symposium originated with the German Society of Applied Mathematics and Mechanics (GAMM) late in 1964 and was examined by a committee of IUTAM especially appointed for this purpose. The basis of this examination was a report in which the present situation in the field and the possible aims of the symposium were surveyed. Briefly, the aims of

Continuum Mechanics - Volume I

Continuum Mechanics - Volume I
  • Author : José Merodio,Giuseppe Saccomandi
  • Publisher : EOLSS Publications
  • Release : 30 November 2011
GET THIS BOOKContinuum Mechanics - Volume I

The main objective of continuum mechanics is to predict the response of a body that is under the action of external and/or internal influences, i.e. to capture and describe different mechanisms associated with the motion of a body that is under the action of loading. A body in continuum mechanics is considered to be matter continuously distributed in space. Hence, no attention is given to the microscopic (atomic) structure of real materials although non-classical generalized theories of continuum

Geometrical Foundations of Continuum Mechanics

Geometrical Foundations of Continuum Mechanics
  • Author : Paul Steinmann
  • Publisher : Springer
  • Release : 25 March 2015
GET THIS BOOKGeometrical Foundations of Continuum Mechanics

This book illustrates the deep roots of the geometrically nonlinear kinematics of generalized continuum mechanics in differential geometry. Besides applications to first- order elasticity and elasto-plasticity an appreciation thereof is particularly illuminating for generalized models of continuum mechanics such as second-order (gradient-type) elasticity and elasto-plasticity. After a motivation that arises from considering geometrically linear first- and second- order crystal plasticity in Part I several concepts from differential geometry, relevant for what follows, such as connection, parallel transport, torsion, curvature, and

Applications Of Tensor Analysis In Continuum Mechanics

Applications Of Tensor Analysis In Continuum Mechanics
  • Author : Michael J Cloud,Victor A Eremeyev,Leonid P Lebedev
  • Publisher : World Scientific
  • Release : 10 July 2018
GET THIS BOOKApplications Of Tensor Analysis In Continuum Mechanics

'A strong point of this book is its coverage of tensor theory, which is herein deemed both more readable and more substantial than many other historic continuum mechanics books. The book is self-contained. It serves admirably as a reference resource on fundamental principles and equations of tensor mathematics applied to continuum mechanics. Exercises and problem sets are useful for teaching … The book is highly recommended as both a graduate textbook and a reference work for students and more senior researchers

Advances in Mechanics of Microstructured Media and Structures

Advances in Mechanics of Microstructured Media and Structures
  • Author : Francesco dell'Isola,Victor A. Eremeyev,Alexey Porubov
  • Publisher : Springer
  • Release : 28 March 2018
GET THIS BOOKAdvances in Mechanics of Microstructured Media and Structures

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.

Cosserat Continuum Mechanics

Cosserat Continuum Mechanics
  • Author : Ioannis Vardoulakis (Deceased)
  • Publisher : Springer
  • Release : 01 August 2018
GET THIS BOOKCosserat Continuum Mechanics

This textbook explores the theory of Cosserat continuum mechanics, and covers fundamental tools, general laws and major models, as well as applications to the mechanics of granular media. While classical continuum mechanics is based on the axiom that the stress tensor is symmetric, theories such as that expressed in the seminal work of the brothers Eugène and François Cosserat are characterized by a non-symmetric stress tensor. The use of von Mises motor mechanics is introduced, for the compact