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Foundations Of Micropolar Mechanics
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Book Synopsis Foundations of Micropolar Mechanics by : Victor A. Eremeyev
Download or read book Foundations of Micropolar Mechanics written by Victor A. Eremeyev and published by Springer Science & Business Media. This book was released on 2012-07-25 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Foundations of Micropolar Thermoelasticity by : Cemal Eringen
Download or read book Foundations of Micropolar Thermoelasticity written by Cemal Eringen and published by Springer. This book was released on 2014-05-04 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Microcontinuum Field Theories by : A. Cemal Eringen
Download or read book Microcontinuum Field Theories written by A. Cemal Eringen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microcontinuum field theories extend classical field theories to microscopic spaces and short time scales. This volume is concerned with the kinematics of microcontinua. It begins with a discussion of strain, stress tensors, balance laws, and constitutive equations, and then discusses applications of the fundamental ideas to the theory of elasticity. The ideas developed here are important in modeling the fluid or elastic properties of porous media, polymers, liquid crystals, slurries, and composite materials.
Book Synopsis Cosserat Continuum Mechanics by : Ioannis Vardoulakis (Deceased)
Download or read book Cosserat Continuum Mechanics written by Ioannis Vardoulakis (Deceased) and published by Springer. This book was released on 2018-08-01 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 mathematical description of the mechanics and statics of Cosserat continua, as the Cosserat continuum is a manifold of oriented “rigid particles” with 3 dofs of displacement and 3 dofs of rotation, rather than a manifold of points with 3 dofs of displacement. Here, the analysis is restricted to infinitesimal particle displacements and rotations. This book is intended as a valuable supplement to standard Continuum Mechanics courses, and graduate students as well as researchers in mechanics and applied mathematics will benefit from its self-contained text, which is enriched by numerous examples and exercises.
Book Synopsis Generalized Models and Non-classical Approaches in Complex Materials 1 by : Holm Altenbach
Download or read book Generalized Models and Non-classical Approaches in Complex Materials 1 written by Holm Altenbach and published by Springer. This book was released on 2018-03-24 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Microstructural Randomness and Scaling in Mechanics of Materials by : Martin Ostoja-Starzewski
Download or read book Microstructural Randomness and Scaling in Mechanics of Materials written by Martin Ostoja-Starzewski and published by CRC Press. This book was released on 2007-08-13 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: An area at the intersection of solid mechanics, materials science, and stochastic mathematics, mechanics of materials often necessitates a stochastic approach to grasp the effects of spatial randomness. Using this approach, Microstructural Randomness and Scaling in Mechanics of Materials explores numerous stochastic models and methods used in the m
Book Synopsis Continuum Mechanics by : Antonio Romano
Download or read book Continuum Mechanics written by Antonio Romano and published by Springer Science & Business Media. This book was released on 2010-07-23 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields.
Book Synopsis Theory of Asymmetric Elasticity by : Witold Nowacki
Download or read book Theory of Asymmetric Elasticity written by Witold Nowacki and published by Pergamon. This book was released on 1986 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Micropolar Fluids by : Grzegorz Lukaszewicz
Download or read book Micropolar Fluids written by Grzegorz Lukaszewicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Micropolar fluids are fluids with microstructure. They belong to a class of fluids with nonsymmetric stress tensor that we shall call polar fluids, and include, as a special case, the well-established Navier-Stokes model of classical fluids that we shall call ordinary fluids. Physically, micropolar fluids may represent fluids consisting of rigid, randomly oriented (or spherical) particles suspended in a viscous medium, where the deformation of fluid particles is ignored. The model of micropolar fluids introduced in [65] by C. A. Eringen is worth studying as a very well balanced one. First, it is a well-founded and significant generalization of the classical Navier-Stokes model, covering, both in theory and applications, many more phenomena than the classical one. Moreover, it is elegant and not too complicated, in other words, man ageable to both mathematicians who study its theory and physicists and engineers who apply it. The main aim of this book is to present the theory of micropolar fluids, in particular its mathematical theory, to a wide range of readers. The book also presents two applications of micropolar fluids, one in the theory of lubrication and the other in the theory of porous media, as well as several exact solutions of particular problems and a numerical method. We took pains to make the presentation both clear and uniform.
Book Synopsis Shell Structures: Theory and Applications Volume 4 by : Wojciech Pietraszkiewicz
Download or read book Shell Structures: Theory and Applications Volume 4 written by Wojciech Pietraszkiewicz and published by CRC Press. This book was released on 2017-10-30 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shells are basic structural elements of modern technology and everyday life. Examples of shell structures in technology include automobile bodies, water and oil tanks, pipelines, silos, wind turbine towers, and nanotubes. Nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes or wings of insects. In the human body arteries, the eye shell, the diaphragm, the skin and the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 4 contains 132 contributions presented at the 11th Conference on Shell Structures: Theory and Applications (Gdansk, Poland, 11-13 October 2017). The papers reflect a wide spectrum of scientific and engineering problems from theoretical modelling through strength, stability and dynamic behaviour, numerical analyses, biomechanic applications up to engineering design of shell structures. Shell Structures: Theory and Applications, Volume 4 will be of interest to academics, researchers, designers and engineers dealing with modelling and analyses of shell structures. It may also provide supplementary reading to graduate students in Civil, Mechanical, Naval and Aerospace Engineering.
Book Synopsis Nonlocal Continuum Field Theories by : A. Cemal Eringen
Download or read book Nonlocal Continuum Field Theories written by A. Cemal Eringen and published by Springer Science & Business Media. This book was released on 2007-06-14 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlocal continuum field theories are concerned with material bodies whose behavior at any interior point depends on the state of all other points in the body -- rather than only on an effective field resulting from these points -- in addition to its own state and the state of some calculable external field. Nonlocal field theory extends classical field theory by describing the responses of points within the medium by functionals rather than functions (the "constitutive relations" of classical field theory). Such considerations are already well known in solid-state physics, where the nonlocal interactions between the atoms are prevalent in determining the properties of the material. The tools developed for crystalline materials, however, do not lend themselves to analyzing amorphous materials, or materials in which imperfections are a major part of the structure. Nonlocal continuum theories, by contrast, can describe these materials faithfully at scales down to the lattice parameter. This book presents a unified approach to field theories for elastic solids, viscous fluids, and heat-conducting electromagnetic solids and fluids that include nonlocal effects in both space and time (memory effects). The solutions to the field equations agree remarkably well with atomic theories and experimental observations.
Book Synopsis Failure and Damage Analysis of Advanced Materials by : Holm Altenbach
Download or read book Failure and Damage Analysis of Advanced Materials written by Holm Altenbach and published by Springer. This book was released on 2014-12-01 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume present basic concepts and new developments in failure and damage analysis with focus on advanced materials such as composites, laminates, sandwiches and foams, and also new metallic materials. Starting from some mathematical foundations (limit surfaces, symmetry considerations, invariants) new experimental results and their analysis are shown. Finally, new concepts for failure prediction and analysis will be introduced and discussed as well as new methods of failure and damage prediction for advanced metallic and non-metallic materials. Based on experimental results the traditional methods will be revised.
Book Synopsis Numerical Mathematics and Advanced Applications - ENUMATH 2013 by : Assyr Abdulle
Download or read book Numerical Mathematics and Advanced Applications - ENUMATH 2013 written by Assyr Abdulle and published by Springer. This book was released on 2014-11-25 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers a selection of invited and contributed lectures from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) held in Lausanne, Switzerland, August 26-30, 2013. It provides an overview of recent developments in numerical analysis, computational mathematics and applications from leading experts in the field. New results on finite element methods, multiscale methods, numerical linear algebra and discretization techniques for fluid mechanics and optics are presented. As such, the book offers a valuable resource for a wide range of readers looking for a state-of-the-art overview of advanced techniques, algorithms and results in numerical mathematics and scientific computing.
Book Synopsis Dynamics of Mechanical Systems with Variable Mass by : Hans Irschik
Download or read book Dynamics of Mechanical Systems with Variable Mass written by Hans Irschik and published by Springer. This book was released on 2014-10-16 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents up-to-date and unifying formulations for treating dynamics of different types of mechanical systems with variable mass. The starting point is overview of the continuum mechanics relations of balance and jump for open systems from which extended Lagrange and Hamiltonian formulations are derived. Corresponding approaches are stated at the level of analytical mechanics with emphasis on systems with a position-dependent mass and at the level of structural mechanics. Special emphasis is laid upon axially moving structures like belts and chains and on pipes with an axial flow of fluid. Constitutive relations in the dynamics of systems with variable mass are studied with particular reference to modeling of multi-component mixtures. The dynamics of machines with a variable mass are treated in detail and conservation laws and the stability of motion will be analyzed. Novel finite element formulations for open systems in coupled fluid and structural dynamics are presented.
Book Synopsis Computational Modeling, Optimization and Manufacturing Simulation of Advanced Engineering Materials by : Pablo Andrés Muñoz-Rojas
Download or read book Computational Modeling, Optimization and Manufacturing Simulation of Advanced Engineering Materials written by Pablo Andrés Muñoz-Rojas and published by Springer. This book was released on 2016-06-20 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents recent research work focused in the development of adequate theoretical and numerical formulations to describe the behavior of advanced engineering materials. Particular emphasis is devoted to applications in the fields of biological tissues, phase changing and porous materials, polymers and to micro/nano scale modeling. Sensitivity analysis, gradient and non-gradient based optimization procedures are involved in many of the chapters, aiming at the solution of constitutive inverse problems and parameter identification. All these relevant topics are exposed by experienced international and inter institutional research teams resulting in a high level compilation. The book is a valuable research reference for scientists, senior undergraduate and graduate students, as well as for engineers acting in the area of computational material modeling.
Book Synopsis Advanced Methods of Continuum Mechanics for Materials and Structures by : Konstantin Naumenko
Download or read book Advanced Methods of Continuum Mechanics for Materials and Structures written by Konstantin Naumenko and published by Springer. This book was released on 2016-05-12 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of contributions on advanced approaches of continuum mechanics, which were written to celebrate the 60th birthday of Prof. Holm Altenbach. The contributions are on topics related to the theoretical foundations for the analysis of rods, shells and three-dimensional solids, formulation of constitutive models for advanced materials, as well as development of new approaches to the modeling of damage and fractures.
Book Synopsis New Achievements in Continuum Mechanics and Thermodynamics by : Bilen Emek Abali
Download or read book New Achievements in Continuum Mechanics and Thermodynamics written by Bilen Emek Abali and published by Springer. This book was released on 2019-03-13 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
