# krainaksiazek lem a new method for nonlinear mechanics 20169916

- znaleziono 13 produktów w 2 sklepach

### Nonlinear Finite Elements for Continua and Structures John Wiley & Sons

**Książki / Literatura obcojęzyczna**

This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended finite element method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation-density-based crystalline plasticity. N onlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis Covers many of the material laws used in today's software and research Introduces advanced topics in nonlinear finite element modelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual and MATLAB(R) and FORTRAN code Nonlinear Finite Elements for Continua and Structures, Second Edition is a must have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners in industry.

Sklep: Libristo.pl

### Dressing Method in Mathematical Physics Springer-Verlag New York Inc.

**Książki / Literatura obcojęzyczna**

This monograph systematically develops and considers the so-called "dressing method" for solving differential equations (both linear and nonlinear), a means to generate new non-trivial solutions for a given equation from the (perhaps trivial) solution of the same or related equation. The primary topics of the dressing method covered here are: the Moutard and Darboux transformations discovered in XIX century as applied to linear equations; the Bäcklund transformation in differential geometry of surfaces; the factorization method; and the Riemann-Hilbert problem in the form proposed by Shabat and Zakharov for soliton equations, plus its extension in terms of the d-bar formalism. Throughout, the text exploits the "linear experience" of presentation, with special attention given to the algebraic aspects of the main mathematical constructions and to practical rules of obtaining new solutions. Various linear equations of classical and quantum mechanics are solved by the Darboux and factorization methods.

Sklep: Libristo.pl

### New Trends in Nanotechnology and Fractional Calculus Springer Verlag

**Dla dzieci**

In recent years fractional calculus has played an important role in various fields such as mechanics, electricity, chemistry, biology, economics, modeling, identification, control theory and signal processing. The scope of this book is to present the state of the art in the study of fractional systems and the application of fractional differentiation. Furthermore, the manufacture of nanowires is important for the design of nanosensors and the development of high-yield thin films is vital in procuring clean solar energy. This wide range of applications is of interest to engineers, physicists and mathematicians.Table of contentsPreface;New trends in nanotechnology: Novel Molecular Diodes Developed by Chemial Conjugation of Carbon Nanotubes with Peptide Nucleic Acid, by Krishna V. Singh, Miroslav Penchev, Xiaoye Jing, Alfredo A. Martinez-Morales, Cengiz S. Ozkan and Mihri Ozkan;Hybrid Single Walled Carbon Nanotube FETs for High Fidelity DNA Detection, by Xu Wang, Mihri Ozkan, Gurer Budak, Ziya B. Guvenc and Cengiz S. Ozkan;Towards integrated nanoelectronic and photonic devices, by Alexander Quandt, Maurizio Ferrari and Giancarlo C. Righini;New noninvasive methods for

Sklep: Albertus.pl

### A Primer on the Kinematics of Discrete Elastic Rods Springer, Berlin

**Książki / Literatura obcojęzyczna**

This primer discusses a numerical formulation of the theory of an elastic rod, known as a discrete elastic rod, that was recently developed in a series of papers by Miklós Bergou et al. Their novel formulation of discrete elastic rods represents an exciting new method to simulate and analyze the behavior of slender bodies that can be modeled using an elastic rod. The formulation has been extensively employed in computer graphics and is highly cited. In the primer, we provide relevant background from both discrete and classical differential geometry so a reader familiar with classic rod theories can appreciate, comprehend, and use Bergou et al.'s computational efficient formulation of a nonlinear rod theory. The level of coverage is suitable for graduate students in mechanics and engineering sciences.

Sklep: Libristo.pl

### Duality Principles in Nonconvex Systems Springer-Verlag New York Inc.

**Książki / Literatura obcojęzyczna**

Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a self-contained comprehensive mathematical theory of duality for general non-convex, non-smooth systems, with emphasis on methods and applications in engineering mechanics. Topics covered include the classical (minimax) mono-duality of convex static equilibria, the beautiful bi-duality in dynamical systems, the interesting tri-duality in non-convex problems and the complicated multi-duality in general canonical systems. A potentially powerful sequential canonical dual transformation method for solving fully nonlinear problems is developed heuristically and illustrated by use of many interesting examples as well as extensive applications in a wide variety of nonlinear systems, including differential equations, variational problems and inequalities, constrained global optimization, multi-well phase transitions, non-smooth post-bifurcation, large deformation mechanics, structural limit analysis, differential geometry and non-convex dynamical systems. With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences. It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving non-convex, non-smooth problems arising naturally in engineering and science. Much of the book contains material that is new, both in its manner of presentation and in its research development. A self-contained appendix provides some necessary background from elementary functional analysis. Audience: The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics and engineering. The whole volume or selected chapters can also be recommended as a text for both senior undergraduate and graduate courses in applied mathematics, mechanics, general engineering science and other areas in which the notions of optimization and variational methods are employed.

Sklep: Libristo.pl

### Structural Sensitivity Analysis and Optimization 1 Springer-Verlag New York Inc.

**Książki / Literatura obcojęzyczna**

Extensive numerical methods for computing design sensitivity are included in the text for practical application and software development. The numerical method allows integration of CAD-FEA-DSA software tools, so that design optimization can be carried out using CAD geometric models instead of FEA models. This capability allows integration of CAD-CAE-CAM so that optimized designs can be manufactured effectively.Structural design sensitivity analysis concerns the relationship between design variables available to the design engineer and structural responses determined by the laws of mechanics. The dependence of response measures such as displacement, stress, strain, natural frequency, buckling load, acoustic response, frequency response, noise-vibration-harshness (NVH), thermo-elastic response, and fatigue life on the material property, sizing, component shape, and configuration design variables is defined through the energy principles (governing equations) of structural mechanics. In this 2-volume set, first- and second- order design sensitivity analyses are presented for static and dynamics responses of both linear and nonlinear elastic structural systems, including elasto-plastic and frictional contact problems.§Book I Linear Systems introduces structural design concepts that include the CAD-based design model, design parameterization, performance measures, costs, and constraints. It also discusses design sensitivity analysis of linear structural systems, and discrete and continuum design sensitivity analysis methods. §About the Authors:§K.K. Choi is a Carver Professor of Mechanical Engineering at The University of Iowa. He teaches in the Mechanical and Industrial Engineering Department, and is a researcher in the Center for Computer Aided Design. His research area is in mechanical system analysis, design sensitivity analysis, and reliability based design optimization. He has authored numerous publications and has twice won the ASME Best Paper Award. He is an associate editor for four national and international journals, a fellow of ASME, and associate fellow of AIAA.§N.H. Kim is an Assistant Professor in the Department of Mechanical and Aerospace Engineering at The University of Florida. His research area is in structural design optimization, design sensitivity analysis, nonlinear structural mechanics, structural-acoustics, and mesh-free method.§Both authors are members of several professional societies including the American Society of Mechanical Engineers, American Institute of Aeronautics and Astronautics, the International Society for Structural and Multidisciplinary Optimization, and Society of Automotive Engineering.

Sklep: Libristo.pl

### Study on the Motion of Quantum Particle LAP Lambert Academic Publishing

**Książki / Literatura obcojęzyczna**

Quantum particles are the main theme ideas of quantum mechanics. We cannot imagine the matter of quantum mechanics without considering these microparticles and their motion. According to German Physic s Max Planck, classical mechanics fails to study the motion of micro particle like electron then new modern physics named Quantum Mechanics grows at the end of nineteen century and Planck expressed it in Einstein s hypothesis of light quanta. This book demonstrates the motion of quantum particle like electron with the help of some Mathematical form of Schrödinger wave equation. Here we use The Variational iterative method which reduces the size of calculations. This method provides a well-organized and much effective method for handling this nonlinear behaviour.

Sklep: Libristo.pl

### Asymptotic Methods in the Theory of Plates with Mixed Boundary Conditions John Wiley & Sons Inc

**Książki / Literatura obcojęzyczna**

Asymptotic Methods in the Theory of Plates with Mixed Boundary Conditions comprehensively covers the theoretical background of asymptotic approaches and its applicability to solve mechanical engineering-oriented problems of structural members, primarily plates (statics and dynamics) with mixed boundary conditions. The first part of this book is devoted to the description of asymptotic methods, and also includes coverage of lesser known, but useful approaches including the method of summation and construction of the asymptotically equivalent functions, methods of small and large delta, homotopy perturbations method, etc. The second part of this book deals with the application of the asymptotic methods to solve various problems of the theory of plates with mixed boundary conditions. Both free and forced vibrations of plates, as well their stress-strain states and stability problems are studied. The results are presented in a simple analytical form, and can be directly used in engineering practice. It describes the state-of-the-art of current asymptotic approaches. It deals with new trends and applications of asymptotic approaches in the field of Nonlinear Mechanics and Mechanics of Solids. It uses detailed examples from the field of non-linear mechanics and civil engineering. It presents a rigorous treatment of the homotopy perturbation technique.

Sklep: Libristo.pl

### Concrete Fracture Models and Applications Springer-Verlag Berlin and Heidelberg GmbH & Co....

**Książki / Literatura obcojęzyczna**

Cementitious materials, rocks and fibre-reinforced composites commonly termed as quasibrittle, need a different fracture mechanics approach to model the crack propagation study because of the presence of significant size of fracture process zone ahead of the crack-tip. Recent studies show that concrete structures manifest three important stages in fracture process: crack initiation, stable crack propagation and unstable fracture or failure. Fracture Mechanics concept can better explain the above various stages including the concepts of ductility, size-effect, strain softening and post-cracking behavior of concrete and concrete structures. The book presents a basic introduction on the various nonlinear concrete fracture models considering the respective fracture parameters. To this end, a thorough state-of-the-art review on various aspects of the material behavior and development of different concrete fracture models is presented. The development of cohesive crack model for standard test geometries using commonly used softening functions is shown and extensive studies on the behavior of cohesive crack fracture parameters are also carried out. The subsequent chapter contains the extensive study on the double-K and double-G fracture parameters in which some recent developments on the related fracture parameters are illustrated including introduction of weight function method to Double-K Fracture Model and formulization of size-effect behavior of the double-K fracture parameters. The application of weight function approach for determining of the KR-curve associated with cohesive stress distribution in the fracture process zone is also presented. Available test data are used to validate the new approach. Further, effect of specimen geometry, loading condition, size-effect and softening function on various fracture parameters is investigated. Towards the end, a comparative study between different fracture parameters obtained from various models is presented.

Sklep: Libristo.pl

### Multiphysics Modeling with Finite Element Methods World Scientific Publishing Co Pte Ltd

**Książki / Literatura obcojęzyczna**

Finite element methods for approximating partial differential equations that arise in science and engineering analysis find widespread application. Numerical analysis tools make the solutions of coupled physics, mechanics, chemistry, and even biology accessible to the novice modeler. Nevertheless, modelers must be aware of the limitations and difficulties in developing numerical models that faithfully represent the system they are modeling. This textbook introduces the intellectual framework for modeling with Comsol Multiphysics, a package which has unique features in representing multiply linked domains with complex geometry, highly coupled and nonlinear equation systems, and arbitrarily complicated boundary, auxiliary, and initial conditions. But with this modeling power comes great opportunities and great perils. Progressively, in the first part of the book, the novice modeler develops an understanding of how to build up complicated models piecemeal and test them modularly. The second part of the book introduces advanced analysis techniques. The final part of the book deals with case studies in a broad range of application areas including nonlinear pattern formation, thin film dynamics and heterogeneous catalysis, composite and effective media for heat, mass, conductivity, and dispersion, population balances, tomography, multiphase flow, electrokinetic, microfluidic networks, plasma dynamics, and corrosion chemistry. As a revision of Process Modeling and Simulation with Finite Element Methods, this book uses the very latest features of Comsol Multiphysics. There are new case studies on multiphase flow with phase change, plasma dynamics, electromagnetohydrodynamics, microfluidic mixing, and corrosion. In addition, major improvements to the level set method for multiphase flow to ensure phase conservation is introduced.

Sklep: Libristo.pl

### Applications of Group-Theoretical Methods in Hydrodynamics Springer

**Książki / Literatura obcojęzyczna**

This book presents applications of group analysis of differential equations to various models used in hydrodynamics. It contains many new examples of exact solutions to the boundary value problems for the Euler and Navier-Stokes equations. These solutions describe vortex structures in an inviscid fluid, Marangoni boundary layers, thermal gravity convection and other interesting effects. Moreover, the book provides a new method for finding solutions of nonlinear partial differential equations, which is illustrated by a number of examples, including equations for flows of a compressible ideal fluid in two and three dimensions. The work is reasonably self-contained and supplemented by examples of direct physical importance. Audience: This volume will be of interest to postgraduate students and researchers whose work involves partial differential equations, Lie groups, the mathematics of fluids, mathematical physics or fluid mechanics.

Sklep: Libristo.pl

### Theoretical Modelling of Aeroheating on Sharpened Noses Under Rarefied Gas Effects and Nonequilibrium Real Gas Effects Springer-Verlag Berlin and Heidelberg GmbH & Co....

**Książki / Literatura obcojęzyczna**

A Theoretical Modelling of Aeroheating on Sharpened Noses under Rarefied Gas Effects and Nonequilibrium Real Gas Effects employs a theoretical modeling method, and the thesis studies hypersonic flows and aeroheating on sharpened noses under rarefied gas effects and nonequilibrium real gas effects that are beyond the scope of traditional fluid mechanics. It reveals the nonlinear and nonequilibrium features, discusses the corresponding flow and heat transfer mechanisms, and ultimately establishes an analytical engineering theory framework for hypersonic rarefied and chemical nonequilibrium flows. The original analytical findings presented are not only of great academic significance, but also hold considerable potential for applications in engineering practice. The study explores a viable new approach, beyond the heavily relied-upon numerical methods and empirical formulas, to the present research field, which could be regarded as a successful implementation of the ideas and methodologies of the engineering sciences.§

Sklep: Libristo.pl

### Primer on the Kinematics of Discrete Elastic Rods Springer International Publishing AG

**Książki / Literatura obcojęzyczna**

This primer discusses a numerical formulation of the theory of an elastic rod, known as a discrete elastic rod, that was recently developed in a series of papers by Miklós Bergou et al. Their novel formulation of discrete elastic rods represents an exciting new method to simulate and analyze the behavior of slender bodies that can be modeled using an elastic rod. The formulation has been extensively employed in computer graphics and is highly cited. In the primer, we provide relevant background from both discrete and classical differential geometry so a reader familiar with classic rod theories can appreciate, comprehend, and use Bergou et al.'s computational efficient formulation of a nonlinear rod theory. The level of coverage is suitable for graduate students in mechanics and engineering sciences.

Sklep: Libristo.pl

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