Problems of Nonlinear Mechanics and Physics of Materials

Problems of Nonlinear Mechanics and Physics of Materials PDF Author: Igor V. Andrianov
Publisher: Springer
ISBN: 3319922343
Category : Science
Languages : en
Pages : 527

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Book Description
This book presents contributions on the current problems in a number of topical areas of nonlinear dynamics and physics, written by experts from Russia, Ukraine, Israel, Germany, Poland, Italy, the Netherlands, the USA, and France. The book is dedicated to Professor Leonid I. Manevitch, an outstanding scholar in the fields of Mechanics of Solids, Nonlinear Dynamics, and Polymer Physics, on the occasion of his 80th birthday.

Problems of Nonlinear Mechanics and Physics of Materials

Problems of Nonlinear Mechanics and Physics of Materials PDF Author: Igor V. Andrianov
Publisher: Springer
ISBN: 3319922343
Category : Science
Languages : en
Pages : 527

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Book Description
This book presents contributions on the current problems in a number of topical areas of nonlinear dynamics and physics, written by experts from Russia, Ukraine, Israel, Germany, Poland, Italy, the Netherlands, the USA, and France. The book is dedicated to Professor Leonid I. Manevitch, an outstanding scholar in the fields of Mechanics of Solids, Nonlinear Dynamics, and Polymer Physics, on the occasion of his 80th birthday.

Non-Linear Mechanics of Materials

Non-Linear Mechanics of Materials PDF Author: Jacques Besson
Publisher: Springer Science & Business Media
ISBN: 9048133564
Category : Science
Languages : en
Pages : 433

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Book Description
In mechanical engineering and structural analysis there is a significant gap between the material models currently used by engineers for industry applications and those already available in research laboratories. This is especially apparent with the huge progress of computational possibilities and the corresponding dissemination of numerical tools in engineering practice, which essentially deliver linear solutions. Future improvements of design and life assessment methods necessarily involve non-linear solutions for inelastic responses, in plasticity or viscoplasticity, as well as damage and fracture analyses. The dissemination of knowledge can be improved by software developments, data base completion and generalization, but also by information and training. With such a perspective Non-Linear Mechanics of Materials proposes a knowledge actualization, in order to better understand and use recent material constitutive and damage modeling methods in the context of structural analysis or multiscale material microstructure computations.

Recent Trends in Applied Nonlinear Mechanics and Physics

Recent Trends in Applied Nonlinear Mechanics and Physics PDF Author: Mohamed Belhaq
Publisher: Springer
ISBN: 3319639374
Category : Science
Languages : en
Pages : 278

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Book Description
This book presents contributions on the most active lines of recent advanced research in the field of nonlinear mechanics and physics selected from the 4th International Conference on Structural Nonlinear Dynamics and Diagnosis. It includes fifteen chapters by outstanding scientists, covering various aspects of applications, including road tanker dynamics and stability, simulation of abrasive wear, energy harvesting, modeling and analysis of flexoelectric nanoactuator, periodic Fermi–Pasta–Ulam problems, nonlinear stability in Hamiltonian systems, nonlinear dynamics of rotating composites, nonlinear vibrations of a shallow arch, extreme pulse dynamics in mode-locked lasers, localized structures in a photonic crystal fiber resonator, nonlinear stochastic dynamics, linearization of nonlinear resonances, treatment of a linear delay differential equation, and fractional nonlinear damping. It appeals to a wide range of experts in the field of structural nonlinear dynamics and offers researchers and engineers an introduction to the challenges posed by nonlinearities in the development of these topics

Nonlinear Solid Mechanics

Nonlinear Solid Mechanics PDF Author: Adnan Ibrahimbegovic
Publisher: Springer Science & Business Media
ISBN: 9048123305
Category : Computers
Languages : en
Pages : 588

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Book Description
This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.

Nonlinear Mechanics of Structures

Nonlinear Mechanics of Structures PDF Author: M. Kleiber
Publisher: Springer Science & Business Media
ISBN: 9400905777
Category : Science
Languages : en
Pages : 470

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Book Description
The aim of this book is to provide a unified presentation of modern mechanics of structures in a form which is suitable for graduate students as well as for engineers and scientists working in the field of applied mechanics. Traditionally, students at technical universities have been taught subjects such as continuum mechanics, elasticity, plates and shells, frames or finite element techniques in an entirely separate manner. The authors' teaching experience clearly suggests that this situation frequently tends to create in students' minds an incomplete and inconsistent picture of the contemporary structural mechanics. Thus, it is very common that the fundamental laws of physics appear to students hardly related to simplified equations of different "technical" theories of structures, numerical solution techniques are studied independently of the essence of mechanical models they describe, and so on. The book is intended to combine in a reasonably connected and unified manner all these problems starting with the very fundamental postulates of nonlinear continuum mechanics via different structural models of "engineer ing" accuracy to numerical solution methods which can effectively be used for solving boundary-value problems of technological importance. The authors have tried to restrict the mathematical background required to that which is normally familiar to a mathematically minded engineering graduate.

Finite Elasticity and Viscoelasticity

Finite Elasticity and Viscoelasticity PDF Author: Aleksey D. Drozdov
Publisher: World Scientific
ISBN: 9789810224332
Category : Science
Languages : en
Pages : 464

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Book Description
This book provides a systematic and self-consistent introduction to the nonlinear continuum mechanics of solids, from the main axioms to comprehensive aspects of the theory. The objective is to expose the most intriguing aspects of elasticity and viscoelasticity with finite strains in such a way as to ensure mathematical correctness, on the one hand, and to demonstrate a wide spectrum of physical phenomena typical only of nonlinear mechanics, on the other.A novel aspect of the book is that it contains a number of examples illustrating surprising behaviour in materials with finite strains, as well as comparisons between theoretical predictions and experimental data for rubber-like polymers and elastomers.The book aims to fill a gap between mathematicians specializing in nonlinear continuum mechanics, and physicists and engineers who apply the methods of solid mechanics to a wide range of problems in civil and mechanical engineering, materials science, and polymer physics. The book has been developed from a graduate course in applied mathematics which the author has given for a number of years.

Nonlinear Mechanics of Complex Structures

Nonlinear Mechanics of Complex Structures PDF Author: Holm Altenbach
Publisher: Springer Nature
ISBN: 3030758907
Category : Science
Languages : en
Pages : 476

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Book Description
This book covers different topics of nonlinear mechanics in complex structures, such as the appearance of new nonlinear phenomena and the behavior of finite-dimensional and distributed nonlinear systems, including numerous systems directly connected with important technological problems.

Problems of Nonlinear Deformation

Problems of Nonlinear Deformation PDF Author: E.I. Grigolyuk
Publisher: Springer Science & Business Media
ISBN: 9780792309475
Category : Technology & Engineering
Languages : en
Pages : 286

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Book Description
Interest in nonlinear problems in mechanics has been revived and intensified by the capacity of digital computers. Consequently, a question offundamental importance is the development of solution procedures which can be applied to a large class of problems. Nonlinear problems with a parameter constitute one such class. An important aspect of these problems is, as a rule, a question of the variation of the solution when the parameter is varied. Hence, the method of continuing the solution with respect to a parameter is a natural and, to a certain degree, universal tool for analysis. This book includes details of practical problems and the results of applying this method to a certain class of nonlinear problems in the field of deformable solid mechanics. In the Introduction, two forms of the method are presented, namely continu ous continuation, based on the integration of a Cauchy problem with respect to a parameter using explicit schemes, and discrete continuation, implementing step wise processes with respect to a parameter with the iterative improvement of the solution at each step. Difficulties which arise in continuing the solution in the neighbourhood of singular points are discussed and the problem of choosing the continuation parameter is formulated.

Nonlinear Solid Mechanics

Nonlinear Solid Mechanics PDF Author: Gerhard A. Holzapfel
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 482

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Book Description
Providing a modern and comprehensive coverage of continuum mechanics, this volume includes information on "variational principles"--Significant, as this is the only method by which such material is actually utilized in engineering practice.

The Non-Linear Field Theories of Mechanics / Die Nicht-Linearen Feldtheorien der Mechanik

The Non-Linear Field Theories of Mechanics / Die Nicht-Linearen Feldtheorien der Mechanik PDF Author:
Publisher: Springer Science & Business Media
ISBN: 3642460151
Category : Science
Languages : en
Pages : 609

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Book Description