Nonlinear Continuum Mechanics of Solids

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  • Publisher : Springer Science & Business Media
  • Release : 11 November 2013
  • ISBN : 9783662042991
  • Page : 193 pages
  • Rating : 4.5/5 from 103 voters

Nonlinear Continuum Mechanics of Solids Book PDF summary

The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest, and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book is possible without permanent reference to other works.

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Nonlinear Continuum Mechanics of Solids

Nonlinear Continuum Mechanics of Solids
  • Author : Yavuz Basar,Dieter Weichert
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-11-11
  • ISBN : 9783662042991
DOWNLOAD BOOKNonlinear Continuum Mechanics of Solids

The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest, and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book

Spatial and Material Forces in Nonlinear Continuum Mechanics

Spatial and Material Forces in Nonlinear Continuum Mechanics
  • Author : Paul Steinmann
  • Publisher : Springer
  • Release Date : 2022-02-15
  • ISBN : 3030890694
DOWNLOAD BOOKSpatial and Material Forces in Nonlinear Continuum Mechanics

This monograph details spatial and material vistas on non-linear continuum mechanics in a dissipation-consistent approach. Thereby, the spatial vista renders the common approach to nonlinear continuum mechanics and corresponding spatial forces, whereas the material vista elaborates on configurational mechanics and corresponding material or rather configurational forces. Fundamental to configurational mechanics is the concept of force. In analytical mechanics, force is a derived object that is power conjugate to changes of generalised coordinates. For a continuum body, these are typically the

Nonlinear Solid Mechanics

Nonlinear Solid Mechanics
  • Author : Gerhard A. Holzapfel
  • Publisher : John Wiley & Sons Incorporated
  • Release Date : 2000-04-06
  • ISBN : STANFORD:36105028490071
DOWNLOAD BOOKNonlinear Solid Mechanics

Providing a modern and comprehensive coverage of continuum mechanics, this volume includes information on "variational principles"--Significant, as this is the only method by which such material is actually utilized in engineering practice.

Nonlinear Continuum Mechanics and Large Inelastic Deformations

Nonlinear Continuum Mechanics and Large Inelastic Deformations
  • Author : Yuriy I. Dimitrienko
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-12-25
  • ISBN : 9789400700345
DOWNLOAD BOOKNonlinear Continuum Mechanics and Large Inelastic Deformations

The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics – kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles of material indifference and symmetry, all in systematized form. The focus of the book is a new approach to the formulation of the constitutive equations for elastic and inelastic

Nonlinear Continuum Mechanics for Finite Element Analysis

Nonlinear Continuum Mechanics for Finite Element Analysis
  • Author : Javier Bonet,Richard D. Wood
  • Publisher : Cambridge University Press
  • Release Date : 2008-03-13
  • ISBN : 1139467549
DOWNLOAD BOOKNonlinear Continuum Mechanics for Finite Element Analysis

Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in this edition of this successful text, a complete, clear, and

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity
  • Author : Koichi Hashiguchi
  • Publisher : Elsevier
  • Release Date : 2020-06-19
  • ISBN : 9780128194294
DOWNLOAD BOOKNonlinear Continuum Mechanics for Finite Elasticity-Plasticity

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity empowers readers to fully understand the constitutive equation of finite strain, an essential piece in assessing the deformation/strength of materials and safety of structures. The book starts by providing a foundational overview of continuum mechanics, elasticity and plasticity, then segues into more sophisticated topics such as multiplicative decomposition of deformation gradient tensor with the isoclinic concept and the underlying subloading surface concept. The subloading surface concept insists that the plastic strain rate is

Continuum Mechanics

Continuum Mechanics
  • Author : A. J. M. Spencer
  • Publisher : Courier Corporation
  • Release Date : 2012-06-08
  • ISBN : 9780486139470
DOWNLOAD BOOKContinuum Mechanics

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.

Worked Examples in Nonlinear Continuum Mechanics for Finite Element Analysis

Worked Examples in Nonlinear Continuum Mechanics for Finite Element Analysis
  • Author : Javier Bonet,Antonio J. Gil,Richard D. Wood
  • Publisher : Cambridge University Press
  • Release Date : 2012-08-02
  • ISBN : 9781139561303
DOWNLOAD BOOKWorked Examples in Nonlinear Continuum Mechanics for Finite Element Analysis

Many processes in materials science and engineering, such as the load deformation behaviour of certain structures, exhibit nonlinear characteristics. The computer simulation of such processes therefore requires a deep understanding of both the theoretical aspects of nonlinearity and the associated computational techniques. This book provides a complete set of exercises and solutions in the field of theoretical and computational nonlinear continuum mechanics and is the perfect companion to Nonlinear Continuum Mechanics for Finite Element Analysis, where the authors set out

Nonlinear Continuum Mechanics

Nonlinear Continuum Mechanics
  • Author : Donald Charles Leigh
  • Publisher : Unknown
  • Release Date : 1968
  • ISBN : UOM:39015006412087
DOWNLOAD BOOKNonlinear Continuum Mechanics

Mathematical Modeling in Continuum Mechanics

Mathematical Modeling in Continuum Mechanics
  • Author : Roger Temam,Alain Miranville
  • Publisher : Cambridge University Press
  • Release Date : 2005-05-19
  • ISBN : 9781139443210
DOWNLOAD BOOKMathematical Modeling in Continuum Mechanics

Temam and Miranville present core topics within the general themes of fluid and solid mechanics. The brisk style allows the text to cover a wide range of topics including viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics, solitons, and the nonlinear Schrödinger equation. This second edition will be a unique resource for those studying continuum mechanics at the advanced undergraduate and beginning graduate level whether in engineering, mathematics, physics or the applied sciences. Exercises and hints

Continuum Mechanics and Theory of Materials

Continuum Mechanics and Theory of Materials
  • Author : Peter Haupt
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-14
  • ISBN : 9783662047750
DOWNLOAD BOOKContinuum Mechanics and Theory of Materials

The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.

Nonlinear Solid Mechanics

Nonlinear Solid Mechanics
  • Author : Davide Bigoni
  • Publisher : Cambridge University Press
  • Release Date : 2012-07-30
  • ISBN : 9781107025417
DOWNLOAD BOOKNonlinear Solid Mechanics

Addresses behaviour of materials under extreme mechanical conditions and of failure in terms of non-linear continuum mechanics and instability theory.

Collected Papers of R.S. Rivlin

Collected Papers of R.S. Rivlin
  • Author : Grigory I. Barenblatt,Daniel D. Joseph
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-12-14
  • ISBN : 9781461224167
DOWNLOAD BOOKCollected Papers of R.S. Rivlin

R.S. Rivlin is one of the principal architects of nonlinear continuum mechanics: His work on the mechanics of rubber (in the 1940s and 50s) established the basis of finite elasticity theory. These volumes make most of his scientific papers available again and show the full scope and significance of his contributions.

Computational Continuum Mechanics

Computational Continuum Mechanics
  • Author : Ahmed A. Shabana
  • Publisher : Cambridge University Press
  • Release Date : 2011-12-12
  • ISBN : 9781139505420
DOWNLOAD BOOKComputational Continuum Mechanics

This second edition presents the theory of continuum mechanics using computational methods. The text covers a broad range of topics including general problems of large rotation and large deformations and the development and limitations of finite element formulations in solving such problems. Dr Shabana introduces theories on motion kinematics, strain, forces and stresses and goes on to discuss linear and nonlinear constitutive equations, including viscoelastic and plastic constitutive models. General nonlinear continuum mechanics theory is used to develop small and

Continuum Mechanics and Thermodynamics

Continuum Mechanics and Thermodynamics
  • Author : Ellad B. Tadmor,Ronald E. Miller,Ryan S. Elliott
  • Publisher : Cambridge University Press
  • Release Date : 2012
  • ISBN : 9781107008267
DOWNLOAD BOOKContinuum Mechanics and Thermodynamics

Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.