Mechanics of Incremental Deformations
Author | : Maurice Anthony Biot |
Publisher | : |
Total Pages | : 536 |
Release | : 1965 |
Genre | : Elasticity |
ISBN | : |
Download Mechanics of Incremental Deformations Book in PDF, ePub and Kindle
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Mechanics Of Incremental Deformations PDF full book. Access full book title Mechanics Of Incremental Deformations.
Author | : Maurice Anthony Biot |
Publisher | : |
Total Pages | : 536 |
Release | : 1965 |
Genre | : Elasticity |
ISBN | : |
Author | : Biot |
Publisher | : |
Total Pages | : 504 |
Release | : 1965-01-01 |
Genre | : |
ISBN | : 9780471073109 |
Author | : M. A. Biot |
Publisher | : |
Total Pages | : 0 |
Release | : 1965 |
Genre | : |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : |
Release | : 1965 |
Genre | : |
ISBN | : |
Author | : Saeed Yaghmai |
Publisher | : |
Total Pages | : 196 |
Release | : 1969 |
Genre | : Boundary value problems |
ISBN | : |
Author | : Teodor M. Atanackovic |
Publisher | : Springer Science & Business Media |
Total Pages | : 378 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461213304 |
This book is intended to be an introduction to elasticity theory. It is as sumed that the student, before reading this book, has had courses in me chanics (statics, dynamics) and strength of materials (mechanics of mate rials). It is written at a level for undergraduate and beginning graduate engineering students in mechanical, civil, or aerospace engineering. As a background in mathematics, readers are expected to have had courses in ad vanced calculus, linear algebra, and differential equations. Our experience in teaching elasticity theory to engineering students leads us to believe that the course must be problem-solving oriented. We believe that formulation and solution of the problems is at the heart of elasticity theory. 1 Of course orientation to problem-solving philosophy does not exclude the need to study fundamentals. By fundamentals we mean both mechanical concepts such as stress, deformation and strain, compatibility conditions, constitu tive relations, energy of deformation, and mathematical methods, such as partial differential equations, complex variable and variational methods, and numerical techniques. We are aware of many excellent books on elasticity, some of which are listed in the References. If we are to state what differentiates our book from other similar texts we could, besides the already stated problem-solving ori entation, list the following: study of deformations that are not necessarily small, selection of problems that we treat, and the use of Cartesian tensors only.
Author | : M. Destrade |
Publisher | : Springer Science & Business Media |
Total Pages | : 287 |
Release | : 2007-11-08 |
Genre | : Technology & Engineering |
ISBN | : 3211735720 |
Papers in this book provide a state-of-the-art examination of waves in pre-stressed materials. You’ll gain new perspectives via a multi-disciplinary approach that interweaves key topics. These topics include the mathematical modeling of incremental material response (elastic and inelastic), an analysis of the governing differential equations, and boundary-value problems. Detailed illustrations help you visualize key concepts and processes.
Author | : J. Mason |
Publisher | : Elsevier |
Total Pages | : 383 |
Release | : 2013-10-22 |
Genre | : Mathematics |
ISBN | : 1483289648 |
Studies in Applied Mechanics, 4: Variational, Incremental, and Energy Methods in Solid Mechanics and Shell Theory covers the subject of variational, incremental, and energy methods in Solid Mechanics and Shell Theory from a general standpoint, employing general coordinates and tensor notations. The publication first ponders on mathematical preliminaries, kinematics and stress in three-dimensional solid continua, and the first and second laws of thermodynamics. Discussions focus on the principles of virtual displacements and virtual forces, kinematics of rigid body motions, incremental stresses, kinematics of incremental deformation, description of motion, coordinates, reference and deformed states, tensor formulas for surfaces, and differentials and derivatives of operators. The text then elaborates on constitutive material laws, deformation and stress in shells, first law of thermodynamics applied to shells, and constitutive relations and material laws for shells. Concerns cover hyperelastic incremental material relations, material laws for thin elastic shells, incremental theory and stability, reduced and local forms of the first law of thermodynamics, and description of deformation and motion in shells. The book examines elastic stability, finite element models, variational and incremental principles, variational principles of elasticity and shell theory, and constitutive relations and material laws for shells. The publication is a valuable reference for researchers interested in the variational, incremental, and energy methods in solid mechanics and shell theory.
Author | : George Herrmann |
Publisher | : Elsevier |
Total Pages | : 304 |
Release | : 2013-10-22 |
Genre | : Technology & Engineering |
ISBN | : 1483155544 |
R. D. Mindlin and Applied Mechanics is a collection of studies in the development of Applied Mechanics dedicated to Professor Raymond D. Mindlin by his former students. This book contains the development of specific areas of Mechanics of Solids to which Mindlin has contributed most. Organized into eight chapters, this text first discusses the past, present and likely future of photoelasticity. Subsequent chapters explore the development of the three-dimensional theory of elasticity; generalized elastic continua; bodies in contact with applications to granular media; and waves and vibrations in isotropic and anisotropic plates. Other chapters discuss the vibrations and wave propagation in rods, piezoelectric crystals, and electro-elasticity. Lastly, the lattice theories and continuum mechanics are described.
Author | : Dieter Besdo |
Publisher | : Springer Science & Business Media |
Total Pages | : 559 |
Release | : 2013-03-08 |
Genre | : Technology & Engineering |
ISBN | : 3642848338 |
The IUTAM-Symposium on "Finite Inelastic Deformations - Theory and Applications" took place from August 19 to 23, 1991, at the University of Hannover, Germany, with 75 participants from 14 countries. Scope of the symposium was a fundamental treatment of new developments in plasticity and visco-plasticity at finite strains. This covered the phenomenological material theory based on continuum mechanics as well as the treatment of microstructural phenomena detected by precise experimental datas. In a restricted number, lectures on new experi mental facilities for measuring finite strains were also implemented into the symposium. Another important topic of the symposium was the treatment of reliable and effective computational methods for solving engineering problems with finite inelastic strains. Wi thin this context it was an essential feature that theory, numerical and computational analysis were be seen in an integrated way. In total 9 sessions with 37 lectures, many of them given by well known keynote-lecturers, and a poster session with 10 contributions met fully our expectations of a high ranking up-to-date forum for the interaction of four topics, namely the physical and mathematical modelling of finite strain inelastic deformations including localizations and damage as well as the achievements in the numerical analysis and implementation and the solution of complicated engineering systems. Special and important features were reliable material datas from macroscopic and microscopic tests as well as test results of complex engineering problems, like deep drawing and extrusion.