Nonlinear Continuum Mechanics and Physics

Nonlinear Continuum Mechanics and Physics provides a differential geometry approach to nonlinear continuum mechanics that will appeal to both engineers and material scientists. It includes heuristic and rigorous expositions of crucial concepts like finite deformation compatibility conditions, the Lie-derivative, frame-indifference and material symmetry principles. With exercises at the end of each chapter to emphasize concepts, readers will be able to further understand the latest techniques and research. This book is designed to support postgraduates and researchers in the areas of mechanical engineering, nano-mechanics, biomechanics and computational mechanics. Systematically uses a differential geometric approach Provides new developments in convex analysis and variational calculus in finite deformation Investigates applications in biomechanics and soft matter mechanics Explains the atomistic interpretation of stress

Produk Detail:

  • Author : Shaofan Li
  • Publisher : Academic Press
  • Pages : 500 pages
  • ISBN : 9780128115428
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKNonlinear Continuum Mechanics and Physics

Nonlinear Continuum Mechanics and Physics

Nonlinear Continuum Mechanics and Physics
  • Author : Shaofan Li
  • Publisher : Academic Press
  • Release : 01 April 2019
GET THIS BOOKNonlinear Continuum Mechanics and Physics

Nonlinear Continuum Mechanics and Physics provides a differential geometry approach to nonlinear continuum mechanics that will appeal to both engineers and material scientists. It includes heuristic and rigorous expositions of crucial concepts like finite deformation compatibility conditions, the Lie-derivative, frame-indifference and material symmetry principles. With exercises at the end of each chapter to emphasize concepts, readers will be able to further understand the latest techniques and research. This book is designed to support postgraduates and researchers in the areas of

Non-linear Continuum Theories in Mechanics and Physics and their Applications

Non-linear Continuum Theories in Mechanics and Physics and their Applications
  • Author : R. S. Rivlin
  • Publisher : Springer Science & Business Media
  • Release : 07 June 2011
GET THIS BOOKNon-linear Continuum Theories in Mechanics and Physics and their Applications

P.A. Blythe: Non-linear far-field theories in relaxing gas flows.- Meixner: Thermodynamics of deformable materials.- A.C. Pipkin: Non-linear phenomena in continua.- R.S. Rivlin: An introduction to non-linear continuum mechanics.- G.F. Smith: The generation of integrity bases.

Nonlinear Continuum Mechanics and Large Inelastic Deformations

Nonlinear Continuum Mechanics and Large Inelastic Deformations
  • Author : Yuriy I. Dimitrienko
  • Publisher : Springer Science & Business Media
  • Release : 25 December 2010
GET THIS 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 of Solids

Nonlinear Continuum Mechanics of Solids
  • Author : Yavuz Basar,Dieter Weichert
  • Publisher : Springer Science & Business Media
  • Release : 11 November 2013
GET THIS 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

Nonlinear Solid Mechanics

Nonlinear Solid Mechanics
  • Author : Gerhard A. Holzapfel
  • Publisher : Wiley
  • Release : 07 April 2000
GET THIS BOOKNonlinear Solid Mechanics

Nonlinear Solid Mechanics a Continuum Approach for Engineering Gerhard A. Holzapfel Graz University of Technology, Austria With a modern, comprehensive approach directed towards computational mechanics, this book covers a unique combination of subjects at present unavailable in any other text. It includes vital information on 'variational principles' constituting the cornerstone of the finite element method. In fact this is the only method by which Nonlinear Solid Mechanics is utilized in engineering practice. The book opens with a fundamental chapter on

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity
  • Author : Koichi Hashiguchi
  • Publisher : Elsevier
  • Release : 19 June 2020
GET THIS 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 : Anthony James Merrill Spencer
  • Publisher : Courier Corporation
  • Release : 01 January 2004
GET THIS BOOKContinuum Mechanics

Undergraduate text opens with introductory chapters on matrix algebra, vectors and Cartesian tensors, and an analysis of deformation and stress; succeeding chapters examine laws of conservation of mass, momentum, and energy as well as the formulation of mechanical constitutive equations. 1992 edition.

Mathematical Modeling in Continuum Mechanics

Mathematical Modeling in Continuum Mechanics
  • Author : Roger Temam,Alain Miranville
  • Publisher : Cambridge University Press
  • Release : 19 May 2005
GET THIS 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

Nonlinear Analysis and Continuum Mechanics

Nonlinear Analysis and Continuum Mechanics
  • Author : Giuseppe Butazzo,Giovanni Paolo Galdi,Ermanno Lanconelli,Patrizia Pucci
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKNonlinear Analysis and Continuum Mechanics

The chapters in this volume deal with four fields with deep historical roots that remain active areas reasearch: partial differential equations, variational methods, fluid mechanics, and thermodynamics. The collection is intended to serve two purposes: First, to honor James Serrin, in whose work the four fields frequently interacted; and second, to bring together work in fields that are usually pursued independently but that remain remarkably interrelated. Serrin's contributions to mathematical analysis and its applications are fundamental and include such theorems

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 : 02 August 2012
GET THIS 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

Continuum Mechanics and Theory of Materials

Continuum Mechanics and Theory of Materials
  • Author : Peter Haupt
  • Publisher : Springer Science & Business Media
  • Release : 14 March 2013
GET THIS 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.

The Non-Linear Field Theories of Mechanics

The Non-Linear Field Theories of Mechanics
  • Author : C. Truesdell,Walter Noll
  • Publisher : Springer Science & Business Media
  • Release : 17 April 2013
GET THIS BOOKThe Non-Linear Field Theories of Mechanics

This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by S. Antman who describes the monograph`s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also has greatly contributed to the unification and