Nonlinear finite elements for continua and structures / (Record no. 8818)

MARC details
000 -LEADER
fixed length control field 07020cam a2200409 i 4500
001 - CONTROL NUMBER
control field 17800921
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20190509075120.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field 3eeeeeee
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 130703s2014 enka b 001 0 eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2013023511
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781118632703 (pbk.)
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Language of cataloging eng
Transcribing agency DLC
Description conventions rda
Modifying agency DLC
042 ## - AUTHENTICATION CODE
Authentication code pcc
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number TA347. F5
Item number BEL 2014
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 620/.001515355
Edition number 23
084 ## - OTHER CLASSIFICATION NUMBER
Classification number SCI041000
Number source bisacsh
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Belytschko, Ted,
Dates associated with a name 1943-
245 10 - TITLE STATEMENT
Title Nonlinear finite elements for continua and structures /
Statement of responsibility, etc. Ted Belytschko and three others.
250 ## - EDITION STATEMENT
Edition statement Second edition.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. West Sussex:
Name of publisher, distributor, etc. Wiley,
Date of publication, distribution, etc. 2014.
300 ## - PHYSICAL DESCRIPTION
Extent xxviii, 804 pages :
Other physical details illustrations ;
Dimensions 25 cm.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references (pages 781-794) and index.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note Machine generated contents note: Preface xi List of Boxes xv 1 Introduction 1 1.1 Nonlinear finite elements in design 1 1.2 Related books and a brief history of nonlinear finite elements 4 1.3 Notation 7 1.4 Mesh descriptions 9 1.5 Classification of partial differential equations 13 1.6 Exercises 18 2 Lagrangian and Eulerian finite elements in one dimension 19 2.1 Introduction 19 2.2 Governing equations for total Lagrangian formulation 20 2.3 Weak form for total Lagrangian formulation 27 2.4 Finite element discretization in total Lagrangian formulation 33 2.5 Element and global matrices 38 2.6 Governing equations for updated Lagrangian formulation 48 2.7 Weak form for updated Lagrangian formulation 51 2.8 Element equations for updated Lagrangian formulation 52 2.9 Governing equations for Eulerian formulation 64 2.10 Weak forms for Eulerian mesh equations 65 2.11 Finite element equations 66 2.12 Solution methods 70 2.13 Summary 72 2.14 Exercises 72 3 Continuum mechanics 75 3.1 Introduction 75 3.2 Deformation and motion 76 3.3 Strain measures 92 3.4 Stress measures 101 3.5 Conservation equations 108 3.6 Lagrangian conservation equations 119 3.7 Polar decomposition and frame-invariance 125 3.8 Exercises 137 4 Lagrangian meshes 141 4.1 Introduction 141 4.2 Governing equations 142 4.3 Weak form: principle of virtual power 145 4.4 Updated Lagrangian finite element discretization 152 4.5 Implementation 162 4.6 Corotational formulations 185 4.7 Total Lagrangian formulation 193 4.8 Total Lagrangian weak form 196 4.9 Finite element semidiscretization 198 4.10 Exercise 213 5 Constitutive models 215 5.1 Introduction 215 5.2 The stress-strain curve 216 5.3 One-dimensional elasticity 221 5.4 Nonlinear elasticity 225 5.5 One-dimensional plasticity 240 5.6 Multiaxial plasticity 247 5.7 Hyperelastic-plastic models 264 5.8 Viscoelasticity 274 5.9 Stress update algorithms 277 5.10 Continuum mechanics and constitutive models 294 5.11 Exercises 308 6 Solution methods and stability 309 6.1 Introduction 309 6.2 Explicit methods 310 6.3 Equilibrium solutions and implicit time integration 317 6.4 Linearization 337 6.5 Stability and continuation methods 353 6.6 Numerical stability 369 6.7 Material stability 384 6.8 Exercises 392 7 Arbitrary Lagrangian Eulerian formulations 393 7.1 Introduction 393 7.2 ALE continuum mechanics 395 7.3 Conservation laws in ALE description 402 7.4 ALE governing equations 403 7.5 Weak forms 404 7.6 Introduction to the Petrov-Galerkin method 408 7.7 Petrov-Galerkin formulation of momentum equation 417 7.8 Path-dependent materials 420 7.9 Linearization of the discrete equations 432 7.10 Mesh update equations 435 7.11 Numerical example: an elastic-plastic wave propagation problem 442 7.12 Total ALE formulations 443 8 Element technology 451 8.1 Introduction 451 8.2 Element performance 453 8.3 Element properties and patch tests 461 8.4 Q4 and volumetric locking 469 8.5 Multi-field weak forms and elements 474 8.6 Multi-field quadrilaterals 487 8.7 One-point quadrature elements 491 8.8 Examples 500 8.9 Stability 504 8.10 Exercises 507 9 Beams and shells 509 9.1 Introduction 509 9.2 Beam theories 511 9.3 Continuum-based beam 514 9.4 Analysis of CB beam 524 9.5 Continuum-based shell implementation 536 9.6 CB shell theory 550 9.7 Shear and membrane locking 555 9.8 Assumed strain elements 560 9.9 One-point quadrature elements 563 9.10 Exercises 566 10 Contact-impact 569 10.1 Introduction 569 10.2 Contact interface equations 570 10.3 Friction models 580 10.4 Weak forms 585 10.5 Finite element discretization 595 10.6 On explicit methods 609 11 XFEM 11.1. INTRODUCTION 11.2. PARTITION OF UNITY AND ENRICHMENTS 11.3. ONE DIMENSIONAL XFEM 11.4. MULTI-DIMENSION XFEM 11.5. WEAK AND STRONG FORMS 11.6. DISCRETE EQUATIONS 11.7. LEVEL SET METHOD 11.8. XFEM IMPLEMENTATION STRATEGY 11.9. INTEGRATION 11.10. AN EXAMPLE OF XFEM SIMULATION 11.11. EXERCISE 12 Introduction to multiresolution theory 12.1 MOTIVATION: MATERIALS ARE STRUCTURED CONTINUA 12.2 BULK DEFORMATION OF MICROSTRUCTURED CONTINUA 12.3 GENERALIZING MECHANICS TO BULK MICROSTRUCTURED CONTINUA 12.4 MULTISCALE MICROSTRUCTURES AND THE MULTIRESOLUTION CONTINUUM THEORY 12.5 GOVERNING EQUATIONS FOR MCT 12.6 CONSTRUCTING MCT CONSTITUTIVE RELATIONSHIPS 12.7 BASIC GUIDELINES FOR RVE MODELS 12.8 FINITE ELEMENT IMPLEMENTATION OF MCT 12.9 NUMERICAL EXAMPLE 12.10 FUTURE RESEARCH DIRECTION OF MCT MODELING 12.11 EXERCISES 13 Single-crystal plasticity 13.1 Introduction 13.2 Crystallographic description of cubic and non-cubic crystals 13.3 Atomic origins of plasticity and the burgers vector in single crystals 13.4 Defining slip planes and directions in general single crystals 13.5 Kinematics of single crystal plasticity 13.6 Dislocation density evolution 13.7 Stress required for dislocation motion. 13.8 Stress update in rate-dependent single-crystal plasticity 13.9 Algorithm for rate-dependent dislocation-density based crystal plasticity 13.10 Numerical example 13.11 Exercises Appendix 1 Voigt notation 615 Appendix 2 Norms 619 Appendix 3 Element shape functions 622 Appendix 4 Euler angles from pole figures Appendix 5 Example of dislocation density evolutionary equations Glossary 627 References 631 Index 641 .
520 ## - SUMMARY, ETC.
Summary, etc. "Focuses on the formulation and solution of the discrete equations for various classes of problems encountered in the application of the finite element method to solid and structural mechanics"--
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Finite element method.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Continuum mechanics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Structural analysis (Engineering)
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element SCIENCE / Mechanics / General.
Source of heading or term bisacsh
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Liu, W. K.,
Fuller form of name (Wing Kam)
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Moran, B.
Fuller form of name (Brian),
Dates associated with a name 1958-
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Elkhodary, Khalil I.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Online version:
Main entry heading Belytschko, Ted, 1943-
Title Nonlinear finite elements for continua and structures
Edition Second edition.
Place, publisher, and date of publication Hoboken, New Jersey : John Wiley & Sons Inc., [2014]
International Standard Book Number 9781118700051
Record control number (DLC) 2013028601
856 42 - ELECTRONIC LOCATION AND ACCESS
Materials specified Cover image
Uniform Resource Identifier <a href="http://catalogimages.wiley.com/images/db/jimages/9781118632703.jpg">http://catalogimages.wiley.com/images/db/jimages/9781118632703.jpg</a>
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN)
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942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Library of Congress Classification
Koha item type Books in General collection
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Date acquired Total Checkouts Full call number Barcode Date last seen Copy number Price effective from Koha item type
    Library of Congress Classification     Non-fiction Mzuzu University Library and Learning Resources Centre Mzuzu University Library and Learning Resources Centre 20/04/2017   TA 347.F5 BEL 2014 MzULM-014464 20/04/2017 014464 20/04/2017 Books in General collection

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