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Author: Esben Byskov Publisher: Springer Science & Business Media ISBN: 9400757662 Category : Science Languages : en Pages : 601
Book Description
The book opens with a derivation of kinematically nonlinear 3-D continuum mechanics for solids. Then the principle of virtual work is utilized to derive the simpler, kinematically linear 3-D theory and to provide the foundation for developing consistent theories of kinematic nonlinearity and linearity for specialized continua, such as beams and plates, and finite element methods for these structures. A formulation in terms of the versatile Budiansky-Hutchinson notation is used as basis for the theories for these structures and structural elements, as well as for an in-depth treatment of structural instability.
Author: Esben Byskov Publisher: Springer Science & Business Media ISBN: 9400757662 Category : Science Languages : en Pages : 601
Book Description
The book opens with a derivation of kinematically nonlinear 3-D continuum mechanics for solids. Then the principle of virtual work is utilized to derive the simpler, kinematically linear 3-D theory and to provide the foundation for developing consistent theories of kinematic nonlinearity and linearity for specialized continua, such as beams and plates, and finite element methods for these structures. A formulation in terms of the versatile Budiansky-Hutchinson notation is used as basis for the theories for these structures and structural elements, as well as for an in-depth treatment of structural instability.
Author: Grigory Vekstein Publisher: CRC Press ISBN: 9780750301411 Category : Science Languages : en Pages : 208
Book Description
Physics of Continuous Media: A Collection of Problems with Solutions for Physics Students contains a set of problems with detailed and rigorous solutions. Aimed at undergraduate and postgraduate students in physics and applied mathematics, the book is a complementary text for standard courses on the physics of continuous media. With its assortment of standard problems for beginners, variations on a theme, and original problems based on new trends and theories in the physics under investigation, this book aids in the understanding of practical aspects of the subject. Topics discussed include vectors, tensors, and Fourier transformations; dielectric waves in media; natural optical activity; Cherenkov radiation; nonlinear interaction of waves; dynamics of ideal fluids and the motion of viscous fluids; convection; turbulence and acoustic and shock waves; the theory of elasticity; and the mechanics of liquid crystals.
Author: Allan F. Bower Publisher: CRC Press ISBN: 1439802483 Category : Science Languages : en Pages : 820
Book Description
Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o
Author: A. J. M. Spencer Publisher: Courier Corporation ISBN: 0486139476 Category : Science Languages : en Pages : 194
Book Description
Undergraduate text offers an analysis of deformation and stress, covers laws of conservation of mass, momentum, and energy, and surveys the formulation of mechanical constitutive equations. 1992 edition.
Author: Angelo Luongo Publisher: John Wiley & Sons ISBN: 1118577639 Category : Technology & Engineering Languages : en Pages : 266
Book Description
Nonlinear models of elastic and visco-elastic onedimensional continuous structures (beams and cables) are formulated by the authors of this title. Several models of increasing complexity are presented: straight/curved, planar/non-planar, extensible/inextensible, shearable/unshearable, warpingunsensitive/ sensitive, prestressed/unprestressed beams, both in statics and dynamics. Typical engineering problems are solved via perturbation and/or numerical approaches, such as bifurcation and stability under potential and/or tangential loads, parametric excitation, nonlinear dynamics and aeroelasticity. Contents 1. A One-Dimensional Beam Metamodel. 2. Straight Beams. 3. Curved Beams. 4. Internally Constrained Beams. 5. Flexible Cables. 6. Stiff Cables. 7. Locally-Deformable Thin-Walled Beams. 8. Distortion-Constrained Thin-Walled Beams.
Author: Ellad B. Tadmor Publisher: Cambridge University Press ISBN: 1107008263 Category : Science Languages : en Pages : 373
Book Description
Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.
Author: John W. Rudnicki Publisher: John Wiley & Sons ISBN: 1118927672 Category : Science Languages : en Pages : 229
Book Description
A concise introductory course text on continuum mechanics Fundamentals of Continuum Mechanics focuses on the fundamentals of the subject and provides the background for formulation of numerical methods for large deformations and a wide range of material behaviours. It aims to provide the foundations for further study, not just of these subjects, but also the formulations for much more complex material behaviour and their implementation computationally. This book is divided into 5 parts, covering mathematical preliminaries, stress, motion and deformation, balance of mass, momentum and energy, and ideal constitutive relations and is a suitable textbook for introductory graduate courses for students in mechanical and civil engineering, as well as those studying material science, geology and geophysics and biomechanics. A concise introductory course text on continuum mechanics Covers the fundamentals of continuum mechanics Uses modern tensor notation Contains problems and accompanied by a companion website hosting solutions Suitable as a textbook for introductory graduate courses for students in mechanical and civil engineering
Author: J. N. Reddy Publisher: Cambridge University Press ISBN: 1107025435 Category : Mathematics Languages : en Pages : 479
Book Description
This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.
Author: Jorgen S Bergstrom Publisher: William Andrew ISBN: 0323322964 Category : Technology & Engineering Languages : en Pages : 524
Book Description
Very few polymer mechanics problems are solved with only pen and paper today, and virtually all academic research and industrial work relies heavily on finite element simulations and specialized computer software. Introducing and demonstrating the utility of computational tools and simulations, Mechanics of Solid Polymers provides a modern view of how solid polymers behave, how they can be experimentally characterized, and how to predict their behavior in different load environments. Reflecting the significant progress made in the understanding of polymer behaviour over the last two decades, this book will discuss recent developments and compare them to classical theories. The book shows how best to make use of commercially available finite element software to solve polymer mechanics problems, introducing readers to the current state of the art in predicting failure using a combination of experiment and computational techniques. Case studies and example Matlab code are also included. As industry and academia are increasingly reliant on advanced computational mechanics software to implement sophisticated constitutive models – and authoritative information is hard to find in one place - this book provides engineers with what they need to know to make best use of the technology available. - Helps professionals deploy the latest experimental polymer testing methods to assess suitability for applications - Discusses material models for different polymer types - Shows how to best make use of available finite element software to model polymer behaviour, and includes case studies and example code to help engineers and researchers apply it to their work
Author: Esben Byskov
Author: Esben Byskov
Author: Grigory Vekstein
Author: Allan F. Bower
Author: A. J. M. Spencer
Author: Angelo Luongo
Author: Ellad B. Tadmor
Author: John W. Rudnicki
Author: Guoying Gu
Author: J. N. Reddy
Author: Jorgen S Bergstrom