Non-linear Finite Element Analysis of Solids and Structures Volume 2: Advanced Topics M. A. Crisfield Imperial College of Science, Technology and Medicine, London, UK In such fields as aeronautical, civil, mechanical and structural engineering, non-linear analysis techniques are becoming widely used for the solution of practical engineering problems. Taking an engineering rather than a mathematical bias, this comprehensive book builds on the fundamental ideas explained in Volume One, introducing the reader to more detailed, advanced topics. Large strains and large rotations, plasticity with a range of yield criteria and hardening rules, stability theory and advanced solution procedures including branch-switching techniques, contact and friction, and nonlinear dynamics, are covered in depth. Examples from a non-linear finite element computer program incorporating the advanced solution procedures are included. The computer program is available on the Internet via anonymous ftp, using the URL ftp://ftp.cc.ic.ac.uk/pub/depts/aero/nonlin2/.
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Taking an engineering rather than a mathematical bias, this work brings together concepts behind different branches of work on non-linear finite elements. Practically-oriented, it acknowledges the increasing role of computers in non-linear analysis by including a series of computer applications. Topics include plasticity; beams and rods in two-dimensional framework; shells; hyper-elasticity; rubber; kinematic hardening; yield criteria with volume effects; large rotations; three-dimensional beams and rods; and stability theory. Also examines advanced solution procedures for non-linear analysis such as line searchers, quasi-Newton and acceleration techniques, arc-length methods, automatic increments and re-starts.
From the Back Cover
Non-linear Finite Element Analysis of Solids and Structures Volume 2: Advanced Topics M. A. Crisfield Imperial College of Science, Technology and Medicine, London, UK In such fields as aeronautical, civil, mechanical and structural engineering, non-linear analysis techniques are becoming widely used for the solution of practical engineering problems. Taking an engineering rather than a mathematical bias, this comprehensive book builds on the fundamental ideas explained in Volume One, introducing the reader to more detailed, advanced topics. Large strains and large rotations, plasticity with a range of yield criteria and hardening rules, stability theory and advanced solution procedures including branch-switching techniques, contact and friction, and nonlinear dynamics, are covered in depth. Examples from a non-linear finite element computer program incorporating the advanced solution procedures are included. The computer program is available on the Internet via anonymous ftp, using the URL ftp://ftp.cc.ic.ac.uk/pub/depts/aero/nonlin2/.
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6 of 8 people found the following review helpful:
5.0 out of 5 stars
Non-linear FEM for mere mortals.,
By Kari Hallfast (Tampere Finland) - See all my reviews
This review is from: Advanced Topics, Volume 2, Non-Linear Finite Element Analysis of Solids and Structures (Hardcover)
Very elegantly written with excellent notation. Brings the implementaion of things like co-rotational FEM programming within the grasp of people with a mere engineering background. I especially liked the chapter on large rotations.
1 of 1 people found the following review helpful:
5.0 out of 5 stars
Excellent Study,
This review is from: Advanced Topics, Volume 2, Non-Linear Finite Element Analysis of Solids and Structures (Hardcover)
Crisfield's first and second books are excellent sources for anyone from different disiplines. His success can be attributed to explaining the materials in their simple forms and to his notations that is easy to follow. Starting from 1D nonlinear truss elements to 3D beam-column elements, all concepts are explained in a similar way so once you are into it, it is easy to follow the text. I mostly studied his work on finite rotations, and arc-length algorithms.
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Inside This Book
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First Sentence:
This chapter can be considered as an extension of Chapter 4 in Volume 1. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
tangent modular matrix, global internal force vector, active yield surfaces, bracketing increments, tangential modular matrix, local element frame, nodal triad, eigenmode injection, static internal forces, extra internal variables, second yield function, tangent stiffness equations, velocity strain tensor, initial stress matrix, contact patch test, convected curvilinear, principal stretch ratios, tangent stiffness matrix, finite element variables, consistent tangent matrix, penalty stiffness, constitutive tensor, facet approximation, isoparametric shape functions, first singular point Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Pineridge Press, Engineering Computations, Academic Press, The Netherlands, Applied Mechanics, Computational Mechanics, Cromwell Press, Road Res, Englewood Cliffs, Finite Element Technology, Imperial College, Iteration Convergence Total, Method Bisection Interp, Acta Mechanica, Computational Modelling of Concrete Structures, New Jersey, Nonlinear Mechanics New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This chapter can be considered as an extension of Chapter 4 in Volume 1. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
tangent modular matrix, global internal force vector, active yield surfaces, bracketing increments, tangential modular matrix, local element frame, nodal triad, eigenmode injection, static internal forces, extra internal variables, second yield function, tangent stiffness equations, velocity strain tensor, initial stress matrix, contact patch test, convected curvilinear, principal stretch ratios, tangent stiffness matrix, finite element variables, consistent tangent matrix, penalty stiffness, constitutive tensor, facet approximation, isoparametric shape functions, first singular point Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Pineridge Press, Engineering Computations, Academic Press, The Netherlands, Applied Mechanics, Computational Mechanics, Cromwell Press, Road Res, Englewood Cliffs, Finite Element Technology, Imperial College, Iteration Convergence Total, Method Bisection Interp, Acta Mechanica, Computational Modelling of Concrete Structures, New Jersey, Nonlinear Mechanics New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 22
books:
See all 22 books this book cites
- Finite Element Procedures by Klaus-Jurgen Bathe on page 24, and page 486
- The Finite Element Method: Its Basis and Fundamentals, Sixth Edition by O. C. Zienkiewicz on page 98, and page 157
- Finite Elements for Thin Shells and Curved Members by DG ASHWELL on page 306
- Elements of Quaternions by W. R. Hamilton on page 212
- Elements of structural stability by J. G. A Croll on page 353
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