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Mechanics
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  • Nonsmooth Mechanics and Analysisby P. Alart; O. Maisonneuve; R.T. Rockafellar

    Springer-Verlag New York Inc 2006; US$ 114.00

    This book's title, "Nonsmooth Mechanics and Analysis", refers to a major domain of mechanics, particularly those initiated by the works of Jean Jacques Moreau. Nonsmooth mechanics concerns mechanical situations with possible nondifferentiable relationships, eventually discontinuous, as unilateral contact, dry friction, collisions, plasticity, damage, and phase transition. The basis of the approach consists in dealing with such problems without resorting to any regularization process. Indeed, the nonsmoothness is due to simplified mechanical modeling; a more sophisticated model would require too large a number of variables, and sometimes the mechanical information is not available via experimental investigations. Therefore, the... more...

  • The Mechanics of Constitutive Modelingby Niels Saabye Ottosen; Matti Ristinmaa

    Elsevier 2005; US$ 275.00

    Constitutive modelling is the mathematical description of how materials respond to various loadings. This is the most intensely researched field within solid mechanics because of its complexity and the importance of accurate constitutive models for practical engineering problems. Topics covered include: Elasticity - Plasticity theory - Creep theory - The nonlinear finite element method - Solution of nonlinear equilibrium equations - Integration of elastoplastic constitutive equations - The thermodynamic framework for constitutive modelling ? Thermoplasticity - Uniqueness and discontinuous bifurcations ? More comprehensive in scope than competitive titles, with detailed discussion of thermodynamics and numerical methods. ? Offers appropriate... more...

  • Computational Fluid and Solid Mechanicsby K.J. Bathe

    Elsevier 2001; US$ 270.00

    The MIT mission - "to bring together Industry and Academia and to nurture the next generation in computational mechanics is of great importance to reach the new level of mathematical modeling and numerical solution and to provide an exciting research environment for the next generation in computational mechanics." Mathematical modeling and numerical solution is today firmly established in science and engineering. Research conducted in almost all branches of scientific investigations and the design of systems in practically all disciplines of engineering can not be pursued effectively without, frequently, intensive analysis based on numerical computations. The world we live in has been classified by the human mind, for descriptive and analysis... more...

  • Computational Fluid and Solid Mechanics 2003by K.J Bathe

    Elsevier 2003; US$ 630.00

    Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics. Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design. The eight tasks are: The automatic solution of mathematical models Effective numerical schemes for fluid flows The development of an effective mesh-free numerical solution method... more...

  • Advances in Applied Mathematics and Global Optimizationby David Yang Gao; Hanif D. Sherali

    Springer 2009; US$ 169.00

    Written by some of the leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines. It investigates the developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, and theoretical and engineering mechanics. more...

  • Advances in Mathematical Modeling and Experimental Methods for Materials and Structuresby Rivka Gilat

    Springer 2010; US$ 129.00

    This work presents a collection of papers, written by leading authors in honor of Professor Jacob Aboudi.Jacob Aboudi served as Head of the Department of Solid Mechanics, Materials and Structures, as Dean of the Faculty of Engineering and as Incumbent of the Diane and Arthur Belfer Chair of Mechanics and Biomechanics. Aboudi has published more than 200 papers, 2 books and is a leading authority in the field of composite materials.The papers in this volume cover a wide spectrum of topics in the forefront of research in experimental methods and mathematical modeling of materials and structures. Subjects treated include developments in materials science, theoretical and applied mechanics, applied mathematics, applied physics, computational methods... more...

  • Geometric Mechanics and Symmetryby Darryl D. Holm; Tanya Schmah; Cristina Stoica

    OUP Oxford 2009; US$ 157.95

    Classical mechanics, one of the oldest branches of science, has undergone a long evolution, developing hand in hand with many areas of mathematics, including calculus, differential geometry, and the theory of Lie groups and Lie algebras. The modern formulations of Lagrangian and Hamiltonian mechanics, in the coordinate-free language of differential geometry, are elegant and general. They provide a unifying framework for many seemingly disparate physical systems, such asn–particle systems, rigid bodies, fluids and other continua, and electromagnetic and quantum systems.Geometric Mechanics and Symmetry is a friendly and fast-paced introduction to the geometric approach to classical mechanics, suitable for a one- or two- semester course for... more...

  • Advances in Extended and Multifield Theories for Continuaby Bernd Markert

    Springer 2011; US$ 129.00

    Modern computational techniques, such as the Finite Element Method, have, since their development several decades ago, successfully exploited continuum theories for numerous applications in science and technology. Although standard continuum methods based upon the Cauchy-Boltzmann continuum are still of great importance and are widely used, it increasingly appears that material properties stemming from microstructural phenomena have to be considered. This is particularly true for inhomogeneous load and deformation states, where lower-scale size effects begin to affect the macroscopic material response; something standard continuum theories fail to account for. Following this idea, it is evident that standard continuum mechanics has to be augmented... more...

  • Klassische Mechanikby Rainer Müller

    Walter de Gruyter 2009; US$ 900.00

    In diesem einzigartigen Lehrbuch werden anhand von Anwendungsbeispielen die Grundkonzepte der Mechanik vorgestellt. Es setzt nur wenige mathematische Vorkenntnisse voraus. Insbesondere für Lehramtskandidaten geeignet. Mit zahlreichen farbigen grafischen Illustrationen. Mit vielen Anwendungsbeispielen wie Raketenstart, Bungee-Sprung, Fallschirmsprung aus 30.000 Meter Höhe, Weitsprung, Fahrzeug-Crash, Gezeitenkräfte etc. more...

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