Author: Oleg Mikhaĭlovich Belot͡serkovskiĭPublisher:
ISBN:
Category : Gas dynamics
Languages : en
Pages : 211
Book Description
Numerical Methods for Solving Problems of Mechanics of Continuous Media
Author: Oleg Mikhaĭlovich Belot͡serkovskiĭPublisher:
ISBN:
Category : Gas dynamics
Languages : en
Pages : 211
Book Description
Numerical Methods for Solving Problems of Mechanics of Continuous Media
Author: Oleg Mikhaĭlovich Belot͡serkovskiĭPublisher:
ISBN:
Category : Gas dynamics
Languages : en
Pages : 220
Book Description
Mechanics of Continuous Media
Author: S. C. HunterPublisher: Ellis Horwood
ISBN:
Category : Science
Languages : en
Pages : 576
Book Description
Notes on Continuum Mechanics
Author: Eduardo WV ChavesPublisher: Springer Science & Business Media
ISBN: 940075986X
Category : Science
Languages : en
Pages : 695
Book Description
This publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscriminately. The book is divided into twelve chapters with the following topics: Tensors, Continuum Kinematics, Stress, The Objectivity of Tensors, The Fundamental Equations of Continuum Mechanics, An Introduction to Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity (small and large deformations), Thermoelasticity (small and large deformations), Damage Mechanics (small and large deformations), and An Introduction to Fluids. Moreover, the text is supplemented with over 280 figures, over 100 solved problems, and 130 references.
The Method of Fractional Steps
Author: Nikolaj N. YanenkoPublisher: Springer Science & Business Media
ISBN: 3642651089
Category : Mathematics
Languages : en
Pages : 169
Book Description
The method of. fractional steps, known familiarly as the method oi splitting, is a remarkable technique, developed by N. N. Yanenko and his collaborators, for solving problems in theoretical mechanics numerically. It is applicable especially to potential problems, problems of elasticity and problems of fluid dynamics. Most of the applications at the present time have been to incompressible flow with free bound aries and to viscous flow at low speeds. The method offers a powerful means of solving the Navier-Stokes equations and the results produced so far cover a range of Reynolds numbers far greater than that attained in earlier methods. Further development of the method should lead to complete numerical solutions of many of the boundary layer and wake problems which at present defy satisfactory treatment. As noted by the author very few applications of the method have yet been made to problems in solid mechanics and prospects for answers both in this field and other areas such as heat transfer are encouraging. As the method is perfected it is likely to supplant traditional relaxation methods and finite element methods, especially with the increase in capability of large scale computers. The literal translation was carried out by T. Cheron with financial support of the Northrop Corporation. The editing of the translation was undertaken in collaboration with N. N. Yanenko and it is a plea sure to acknowledge his patient help and advice in this project. The edited manuscript was typed, for the most part, by Mrs.
NASA Technical Translation
Author: Numerical Continuum Mechanics
Author: Vladimir N. KukudzhanovPublisher: Walter de Gruyter
ISBN: 3110273381
Category : Science
Languages : en
Pages : 447
Book Description
This work focuses on computational methods in continuum thermomechanics. The text is based on the author's lectures, which ensures a didactical and coherent buildup. The main emphasis is put on the presentation of ideas and qualitative considerations, illustrated by specific examples and applications. Conditions and explanations that are essential for the practical application of methods are discussed thoroughly.
Numerical Methods for Nonsmooth Dynamical Systems
Author: Vincent AcaryPublisher: Springer Science & Business Media
ISBN: 3540753923
Category : Technology & Engineering
Languages : en
Pages : 529
Book Description
This book concerns the numerical simulation of dynamical systems whose trajec- ries may not be differentiable everywhere. They are named nonsmooth dynamical systems. They make an important class of systems, rst because of the many app- cations in which nonsmooth models are useful, secondly because they give rise to new problems in various elds of science. Usually nonsmooth dynamical systems are represented as differential inclusions, complementarity systems, evolution va- ational inequalities, each of these classes itself being split into several subclasses. The book is divided into four parts, the rst three parts being sketched in Fig. 0. 1. The aim of the rst part is to present the main tools from mechanics and applied mathematics which are necessary to understand how nonsmooth dynamical systems may be numerically simulated in a reliable way. Many examples illustrate the th- retical results, and an emphasis is put on mechanical systems, as well as on electrical circuits (the so-called Filippov’s systems are also examined in some detail, due to their importance in control applications). The second and third parts are dedicated to a detailed presentation of the numerical schemes. A fourth part is devoted to the presentation of the software platform Siconos. This book is not a textbook on - merical analysis of nonsmooth systems, in the sense that despite the main results of numerical analysis (convergence, order of consistency, etc. ) being presented, their proofs are not provided.
NASA Technical Paper
Author: Numerical Methods for Stochastic Control Problems in Continuous Time
Author: Harold KushnerPublisher: Springer Science & Business Media
ISBN: 146130007X
Category : Mathematics
Languages : en
Pages : 480
Book Description
Stochastic control is a very active area of research. This monograph, written by two leading authorities in the field, has been updated to reflect the latest developments. It covers effective numerical methods for stochastic control problems in continuous time on two levels, that of practice and that of mathematical development. It is broadly accessible for graduate students and researchers.