Non-Classical Elastic Solids

Non-Classical Elastic Solids PDF Author: Michele Ciarletta
Publisher: CRC Press
ISBN: 1000158063
Category : Mathematics
Languages : en
Pages : 363

Book Description
Problems concerning non-classical elastic solids continue to attract the attention of mathematicians, scientists and engineers. Research in this area addresses problems concerning many substances, such as crystals, polymers, composites, ceramics and blood. This comprehensive, accessible work brings together recent research in this field, and will be of great interest to mathematicians, physicists and other specialists working in this area.

Non-Classical Problems in the Theory of Elastic Stability

Non-Classical Problems in the Theory of Elastic Stability PDF Author: Isaac Elishakoff
Publisher: Cambridge University Press
ISBN: 0521782104
Category : Mathematics
Languages : en
Pages : 354

Book Description
When a structure is put under an increasing compressive load, it becomes unstable and buckling occurs. Buckling is a particularly significant concern in designing shell structures such as aircraft, automobiles, ships, or bridges. This book discusses stability analysis and buckling problems and offers practical tools for dealing with uncertainties that exist in real systems. The techniques are based on two complementary theories which are developed in the text. First, the probabilistic theory of stability is presented, with particular emphasis on reliability. Both theoretical and computational issues are discussed. Secondly, the authors present the alternative to probability based on the notion of 'anti-optimization', a theory that is valid when the necessary information for probabilistic analysis is absent, that is, when only scant data are available. Design engineers, researchers, and graduate students in aerospace, mechanical, marine, and civil engineering who are concerned with issues of structural integrity will find this book a useful reference source.

Generalized Models and Non-classical Approaches in Complex Materials 1

Generalized Models and Non-classical Approaches in Complex Materials 1 PDF Author: Holm Altenbach
Publisher: Springer
ISBN: 3319724401
Category : Science
Languages : en
Pages : 799

Book Description
This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Generalized Models and Non-classical Approaches in Complex Materials 2

Generalized Models and Non-classical Approaches in Complex Materials 2 PDF Author: Holm Altenbach
Publisher: Springer
ISBN: 3319775049
Category : Science
Languages : en
Pages : 335

Book Description
This book is the 2nd special volume dedicated to the memory of Gérard Maugin. Over 30 leading scientists present their contribution to reflect the vast field of scientific activity of Gérard Maugin. The topics of contributions employing often non-standard methods (generalized model) in this volume show the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro-macro aspects, computational efforts, possibilities to identify the constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Universality of Nonclassical Nonlinearity

Universality of Nonclassical Nonlinearity PDF Author: Pier Paolo Delsanto
Publisher: Springer Science & Business Media
ISBN: 038735851X
Category : Science
Languages : en
Pages : 535

Book Description
This book presents the results of two major international research projects on phenomenology, theory and applications of Nonclassical Nonlinearity. It conveys concepts, experimental techniques and applications which were previously found in specialized journals. It also allows for an interdisciplinary audience to better understand the range of practical applications, and is timely and interesting to both researchers and professionals.

Non-Classical Continuum Mechanics

Non-Classical Continuum Mechanics PDF Author: Gérard A. Maugin
Publisher: Springer
ISBN: 9811024340
Category : Science
Languages : en
Pages : 268

Book Description
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.

Classical and Generalized Models of Elastic Rods

Classical and Generalized Models of Elastic Rods PDF Author: D. Iesan
Publisher: CRC Press
ISBN: 1420086502
Category : Mathematics
Languages : en
Pages : 386

Book Description
Reflecting new developments in the study of Saint-Venant's problem, Classical and Generalized Models of Elastic Rods focuses on the deformation of elastic cylinders for three models of continuum: classical elastic continuum, Cosserat elastic body, and porous elastic material. The author presents a method to construct Saint-Venant's solutions, minim

Material Instabilities in Elastic and Plastic Solids

Material Instabilities in Elastic and Plastic Solids PDF Author: Henryk Petryk
Publisher: Springer
ISBN: 3709125626
Category : Technology & Engineering
Languages : en
Pages : 390

Book Description
This book collects recent theoretical developments in the area of material instability in elastic and plastic solids along with related analytical and numerical methods and applications. The existing different approaches to instability phenomena in metal single crystals, polycristals and in geomaterials are presented with the emphasis laid on mutual relations and on unifying concepts, including elliptictly loss and the energy criterion. Quasi-static bifurcation, initiation of single or multiple shear bands and post-critical strain localization are examined along with dynamic phenomena as wave propagation, moving shocks, internal snap-through and instability of flutter type. This gives an overview of a variety of material instability problems, methods and applications.

Foundations of Micropolar Mechanics

Foundations of Micropolar Mechanics PDF Author: Victor A. Eremeyev
Publisher: Springer Science & Business Media
ISBN: 3642283535
Category : Science
Languages : en
Pages : 145

Book Description
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.

Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells

Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells PDF Author: Jan Awrejcewicz
Publisher: Springer Science & Business Media
ISBN: 3642556779
Category : Technology & Engineering
Languages : en
Pages : 432

Book Description
From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration