Model Mechanics
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| Author | : A. Klarbring |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 214 |
| Release | : 2006-09-05 |
| Genre | : Technology & Engineering |
| ISBN | : 1402048351 |
This textbook on models and modeling in mechanics introduces a new unifying approach to applied mechanics: through the concept of the open scheme, a step-by-step approach to modeling evolves. The unifying approach enables a very large scope on relatively few pages: the book treats theories of mass points and rigid bodies, continuum models of solids and fluids, as well as traditional engineering mechanics of beams, cables, pipe flow and wave propagation.
| Author | : Ken H. Seto |
| Publisher | : B & K Publishing House |
| Total Pages | : 187 |
| Release | : 1995-01-01 |
| Genre | : Mechanics |
| ISBN | : 9780964713604 |
Abstractive, holistic, weird, counterintuitive, spooky, duality, AD HOC, virtual particles & complex; these are terms that are frequently used to describe modern physics. The complexity of modern physics precludes a layperson from having a good understanding of the various processes of nature. This has been the limiting factor for people to appreciate the full beauty of nature. To cut through the immense complexity of modern physics, Ken H. Seto invented the PYRAMID TECHNIQUES for doing physics. With the PYRAMID TECHNIQUES, he was able to formulate a realistic present state of the universe. MODEL MECHANICS was the result of this formulation process. According to MODEL MECHANICS, the S-Particle is the only truly fundamental particle in the universe & space is occupied by a substance called the E-MATRIX. The motions of the S-Particles in the E-MATRIX give rise to all the other particles & all the forces of nature. Also, MODEL MECHANICS gives a realistic description of the origin of the universe, a connection between physics & God, a connection between physics & life processes & a unified theory for all the forces of nature. A QUOTATION FROM TONI E. WEAVER, PH.D "Modern physics is like a card game in which most of the cards in the deck are wild. MODEL MECHANICS eliminates the need for this wild scheme of doing physics. It gives us a realistic view of the physical world without resorting to abstractions & fudge factors." Available from: KHS Publishing, P.O. Box 275, Englewood, OH 45322-0275. or Call 1-800-519-0149. Home page:- http:\\www.erinet.com\kenseto.
| Author | : Bastian E. Rapp |
| Publisher | : Elsevier |
| Total Pages | : 850 |
| Release | : 2022-10-07 |
| Genre | : Technology & Engineering |
| ISBN | : 0128240237 |
Microfluidics: Modeling, Mechanics and Mathematics, Second Edition provides a practical, lab-based approach to nano- and microfluidics, including a wealth of practical techniques, protocols and experiments ready to be put into practice in both research and industrial settings. This practical approach is ideally suited to researchers and R&D staff in industry. Additionally, the interdisciplinary approach to the science of nano- and microfluidics enables readers from a range of different academic disciplines to broaden their understanding. Alongside traditional fluid/transport topics, the book contains a wealth of coverage of materials and manufacturing techniques, chemical modification/surface functionalization, biochemical analysis, and the biosensors involved. This fully updated new edition also includes new sections on viscous flows and centrifugal microfluidics, expanding the types of platforms covered to include centrifugal, capillary and electro kinetic platforms. - Provides a practical guide to the successful design and implementation of nano- and microfluidic processes (e.g., biosensing) and equipment (e.g., biosensors, such as diabetes blood glucose sensors) - Provides techniques, experiments and protocols that are ready to be put to use in the lab, or in an academic or industry setting - Presents a collection of 3D-CAD and image files on a companion website
| Author | : A.M. Khludnev |
| Publisher | : Birkhäuser |
| Total Pages | : 380 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034889844 |
New trends in free boundary problems and new mathematical tools together with broadening areas of applications have led to attempts at presenting the state of art of the field in a unified way. In this monograph we focus on formal models representing contact problems for elastic and elastoplastic plates and shells. New approaches open up new fields for research. For example, in crack theory a systematic treatment of mathematical modelling and optimization of problems with cracks is required. Similarly, sensitivity analysis of solutions to problems subjected to perturbations, which forms an important part of the problem solving process, is the source of many open questions. Two aspects of sensitivity analysis, namely the behaviour of solutions under deformations of the domain of integration and perturbations of surfaces seem to be particularly demanding in this context. On writing this book we aimed at providing the reader with a self-contained study of the mathematical modelling in mechanics. Much attention is given to modelling of typical constructions applied in many different areas. Plates and shallow shells which are widely used in the aerospace industry provide good exam ples. Allied optimization problems consist in finding the constructions which are of maximal strength (endurance) and satisfy some other requirements, ego weight limitations. Mathematical modelling of plates and shells always requires a reasonable compromise between two principal needs. One of them is the accuracy of the de scription of a physical phenomenon (as required by the principles of mechanics).
| Author | : Francesco dell'Isola |
| Publisher | : Springer |
| Total Pages | : 327 |
| Release | : 2017-03-10 |
| Genre | : Science |
| ISBN | : 9811037647 |
This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics: mathematical modelling in solid, fluid and contact mechanics nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineering numerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational tools mechanics of fibre-reinforced materials behaviour of elasto-plastic materials accounting for the microstructural defects definition of structural defects based on the differential geometry concepts or on the atomistic basis interaction between phase transformation and dislocations at nano-scale energetic arguments bifurcation and post-buckling analysis of elasto-plastic structures engineering optimization and design, global optimization and related algorithms The book presents selected papers presented at ETAMM 2016. It includes new and original results written by internationally recognized specialists.
| Author | : Rodney J. Baxter |
| Publisher | : Elsevier |
| Total Pages | : 499 |
| Release | : 2016-06-12 |
| Genre | : Science |
| ISBN | : 1483265943 |
Exactly Solved Models in Statistical Mechanics
| Author | : Sergio Albeverio |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 458 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3642882013 |
Next to the harmonic oscillator and the Coulomb potential the class of two-body models with point interactions is the only one where complete solutions are available. All mathematical and physical quantities can be calculated explicitly which makes this field of research important also for more complicated and realistic models in quantum mechanics. The detailed results allow their implementation in numerical codes to analyse properties of alloys, impurities, crystals and other features in solid state quantum physics. This monograph presents in a systematic way the mathematical approach and unifies results obtained in recent years. The student with a sound background in mathematics will get a deeper understanding of Schrödinger Operators and will see many examples which may eventually be used with profit in courses on quantum mechanics and solid state physics. The book has textbook potential in mathematical physics and is suitable for additional reading in various fields of theoretical quantum physics.
| Author | : Roger Temam |
| Publisher | : Cambridge University Press |
| Total Pages | : 356 |
| Release | : 2005-05-19 |
| Genre | : Science |
| ISBN | : 1139443216 |
Temam and Miranville present core topics within the general themes of fluid and solid mechanics. The brisk style allows the text to cover a wide range of topics including viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics, solitons, and the nonlinear Schrödinger equation. This second edition will be a unique resource for those studying continuum mechanics at the advanced undergraduate and beginning graduate level whether in engineering, mathematics, physics or the applied sciences. Exercises and hints for solutions have been added to the majority of chapters, and the final part on solid mechanics has been substantially expanded. These additions have now made it appropriate for use as a textbook, but it also remains an ideal reference book for students and anyone interested in continuum mechanics.
| Author | : Ugo Galvanetto |
| Publisher | : Imperial College Press |
| Total Pages | : 349 |
| Release | : 2010 |
| Genre | : Science |
| ISBN | : 1848163088 |
This unique volume presents the state of the art in the field of multiscale modeling in solid mechanics, with particular emphasis on computational approaches. For the first time, contributions from both leading experts in the field and younger promising researchers are combined to give a comprehensive description of the recently proposed techniques and the engineering problems tackled using these techniques. The book begins with a detailed introduction to the theories on which different multiscale approaches are based, with regards to linear Homogenisation as well as various nonlinear approaches. It then presents advanced applications of multiscale approaches applied to nonlinear mechanical problems. Finally, the novel topic of materials with self-similar structure is discussed. Sample Chapter(s). Chapter 1: Computational Homogenisation for Non-Linear Heterogeneous Solids (808 KB). Contents: Computational Homogenisation for Non-Linear Heterogeneous Solids (V G Kouznetsova et al.); Two-Scale Asymptotic Homogenisation-Based Finite Element Analysis of Composite Materials (Q-Z Xiao & B L Karihaloo); Multi-Scale Boundary Element Modelling of Material Degradation and Fracture (G K Sfantos & M H Aliabadi); Non-Uniform Transformation Field Analysis: A Reduced Model for Multiscale Non-Linear Problems in Solid Mechanics (J-C Michel & P Suquet); Multiscale Approach for the Thermomechanical Analysis of Hierarchical Structures (M J Lefik et al.); Recent Advances in Masonry Modelling: Micro-Modelling and Homogenisation (P B Louren o); Mechanics of Materials with Self-Similar Hierarchical Microstructure (R C Picu & M A Soare). Readership: Researchers and academics in the field of heterogeneous materials and mechanical engineering; professionals in aeronautical engineering and materials science.
| Author | : Bernard Brogliato |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 565 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1447105575 |
Thank you for opening the second edition of this monograph, which is devoted to the study of a class of nonsmooth dynamical systems of the general form: ::i; = g(x,u) (0. 1) f(x, t) 2: 0 where x E JRn is the system's state vector, u E JRm is the vector of inputs, and the function f (-, . ) represents a unilateral constraint that is imposed on the state. More precisely, we shall restrict ourselves to a subclass of such systems, namely mechanical systems subject to unilateral constraints on the position, whose dynamical equations may be in a first instance written as: ii= g(q,q,u) (0. 2) f(q, t) 2: 0 where q E JRn is the vector of generalized coordinates of the system and u is an in put (or controller) that generally involves a state feedback loop, i. e. u= u(q, q, t, z), with z= Z(z, q, q, t) when the controller is a dynamic state feedback. Mechanical systems composed of rigid bodies interacting fall into this subclass. A general prop erty of systems as in (0. 1) and (0. 2) is that their solutions are nonsmooth (with respect to time): Nonsmoothness arises primarily from the occurence of impacts (or collisions, or percussions) in the dynamical behaviour, when the trajectories attain the surface f(x, t) = O. They are necessary to keep the trajectories within the subspace = {x : f(x, t) 2: O} of the system's state space.
