Author: Publisher:
ISBN:
Category :
Languages : en
Pages : 147
Book Description
Convegno Internazionale Interactions Between Analysis and Mechanics
Author: Fluid-structure Interactions
Author: Thomas RichterPublisher: Springer
ISBN: 3319639706
Category : Mathematics
Languages : en
Pages : 452
Book Description
This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling. Special attention is given to the derivation of variational formulations for the subproblems describing fluid- and solid-mechanics as well as the coupled fluid-structure interaction problem. Two monolithic formulations for fluid-structure interactions are described in detail: the well-established ALE formulation and the modern Fully Eulerian formulation, which can effectively deal with problems featuring large deformation and contact. Further, the book provides details on state-of-the-art discretization schemes for fluid- and solid-mechanics and considers the special needs of coupled problems with interface-tracking and interface-capturing techniques. Lastly, advanced topics like goal-oriented error estimation, multigrid solution and gradient-based optimization schemes are discussed in the context of fluid-structure interaction problems.
Tensor Analysis and Continuum Mechanics
Author: Wilhelm FlüggePublisher: Springer Science & Business Media
ISBN: 3642883826
Category : Science
Languages : en
Pages : 215
Book Description
Through several centuries there has been a lively interaction between mathematics and mechanics. On the one side, mechanics has used mathemat ics to formulate the basic laws and to apply them to a host of problems that call for the quantitative prediction of the consequences of some action. On the other side, the needs of mechanics have stimulated the development of mathematical concepts. Differential calculus grew out of the needs of Newtonian dynamics; vector algebra was developed as a means . to describe force systems; vector analysis, to study velocity fields and force fields; and the calcul~s of variations has evolved from the energy principles of mechan ics. In recent times the theory of tensors has attracted the attention of the mechanics people. Its very name indicates its origin in the theory of elasticity. For a long time little use has been made of it in this area, but in the last decade its usefulness in the mechanics of continuous media has been widely recognized. While the undergraduate textbook literature in this country was becoming "vectorized" (lagging almost half a century behind the development in Europe), books dealing with various aspects of continuum mechanics took to tensors like fish to water. Since many authors were not sure whether their readers were sufficiently familiar with tensors~ they either added' a chapter on tensors or wrote a separate book on the subject.
Trends in Applications of Mathematics to Mechanics
Author: Johannes F. BesselingPublisher: Springer Science & Business Media
ISBN: 3642739334
Category : Science
Languages : en
Pages : 367
Book Description
In many areas of mechanics the interplay between mathematics and physics is crucial for understanding not only underlying principles but also practical applications. This is particularly the case in hydrodynamics and elasticity. Over thirty articles in this volume discuss various aspects including perturbation methods and applications, instability, bifurcations and transition to chaos, multibody dynamics and control, mechanics and mathematics of non-classical materials, and new interactions of mathematics and mechanics. The book addresses scientists and engineers working in these areas including those interested in applied mathematical analysis.
Interactions Between Analysis and Mechanics
Author: Applied Mechanics Reviews
Author: Intra- and Intermolecular Interactions between Non-covalently Bonded Species
Author: Elliot R. BernsteinPublisher: Elsevier
ISBN: 0128175877
Category : Science
Languages : en
Pages : 310
Book Description
The study of gases, clusters, liquids, and solids as units or systems, eventually focuses on the properties of these systems as governed by interactions between atoms, molecules, and radicals that are not covalently bonded to one another. The stereo/spatial properties of molecular species themselves are similarly controlled, with such interactions found throughout biological, polymeric, and cluster systems and are a central feature of chemical reactions. Nevertheless, these interactions are poorly described and characterized, with efforts to do so, usually based on a particular quantum or even classical mechanical procedure, obscuring the fundamental nature of the interactions in the process. Intra- and Intermolecular Interactions Between Noncovalently Bonded Species addresses this issue directly, defining the nature of the interactions and discussing how they should and should not be described. It reviews both theoretical developments and experimental procedures in order to explore interactions between nonbonded entities in such a fundamental manner as to elucidate their nature and origins. Drawing attention to the extensive experience of its editor and team of expert authors, Intra- and Intermolecular Interactions Between Noncovalently Bonded Species is an indispensable guide to the foundational knowledge, latest advances, most pressing challenges, and future directions for all those whose work is influenced by these interactions. Comprehensively describes the nature of interactions between nonbonded species in biological systems, liquids, crystals, clusters, and in particular, water. Combines fundamental, theoretical, background information based on various approximations with the knowledge of experimental techniques. Outlines interactions clearly and consistently with a particular focus on frequency and time-resolved spectroscopies as applied to these interactions.
Wind Turbine Airfoils and Blades
Author: Jin ChenPublisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110383748
Category : Science
Languages : en
Pages : 405
Book Description
Wind Turbine Airfoils and Blades introduces new ideas in the design of wind turbine airfoils and blades based on functional integral theory and the finite element method, accompanied by results from wind tunnel testing. The authors also discuss the optimization of wind turbine blades as well as results from aerodynamic analysis. This book is suitable for researchers and engineers in aeronautics and can be used as a textbook for graduate students.
Computational Contact and Impact Mechanics
Author: Tod A. LaursenPublisher: Springer Science & Business Media
ISBN: 9783540429067
Category : Science
Languages : en
Pages : 476
Book Description
Many physical systems require the description of mechanical interaction across interfaces if they are to be successfully analyzed. Examples in the engineered world range from the design of prosthetics in biomedical engi neering (e. g. , hip replacements); to characterization of the response and durability of head/disk interfaces in computer magnetic storage devices; to development of pneumatic tires with better handling characteristics and increased longevity in automotive engineering; to description of the adhe sion and/or relative slip between concrete and reinforcing steel in structural engineering. Such mechanical interactions, often called contact/impact in teractions, usually necessitate at minimum the determination of areas over which compressive pressures must act to prevent interpenetration of the mechanical entities involved. Depending on the application, frictional be havior, transient interaction of interfaces with their surroundings (e. g. , in termittent stick/slip), thermo-mechanical coupling, interaction with an in tervening lubricant and/or fluid layer, and damage of the interface (i. e. , wear) may also be featured. When taken together (or even separately!), these features have the effect of making the equations of mechanical evolu tion not only highly nonlinear, but highly nonsmooth as well. While many modern engineering simulation packages possess impressive capabilities in the general area of nonlinear mechanics, it can be contended that methodologies typically utilized for contact interactions are relatively immature in comparison to other components of a nonlinear finite element package, such as large deformation kinematics, inelastic material modeling, nonlinear equation solving, or linear solver technology.
Variational Views in Mechanics
Author: Paolo Maria MarianoPublisher: Springer Nature
ISBN: 3030900517
Category : Mathematics
Languages : en
Pages : 315
Book Description
This volume provides a timely survey of interactions between the calculus of variations and theoretical and applied mechanics. Chapters have been significantly expanded since preliminary versions appeared in a special issue of the Journal of Optimization Theory and Applications (184(1), 2020) on “Calculus of Variations in Mechanics and Related Fields”. The variety of topics covered offers researchers an overview of problems in mechanics that can be analyzed with variational techniques, making this a valuable reference for researchers in the field. It also presents ideas for possible future areas of research, showing how the mastery of these foundational mathematical techniques can be used for many exciting applications. Specific topics covered include: Topology optimization Identification of material properties Optimal control Plastic flows Gradient polyconvexity Obstacle problems Quasi-monotonicity Variational Views in Mechanics will appeal to researchers in mathematics, solid-states physics, and mechanical, civil, and materials engineering.