| 000 | 06596cam a2200433 i 4500 | ||
|---|---|---|---|
| 005 | 20250930135430.0 | ||
| 008 | 140408s2014 enk b 001 0 eng | ||
| 020 |
_a9781118632703 (pbk.) _cRM376.05 |
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| 020 | _a1118632702 (pbk.) | ||
| 039 | 9 |
_a201407031525 _blan _c201407031518 _dlan _c201407020946 _dhamudah _y04-08-2014 _zhamudah |
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| 040 |
_aDLC _erda _beng _cDLC _dYDX _dOCLCO _dUKMGB _dYDXCP _dPUL _dTXA _dUKM _erda |
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| 090 | _aTA347.F5B438 2014 3 | ||
| 090 |
_aTA347.F5 _bB438 2014 3 |
||
| 100 | 1 |
_aBelytschko, Ted, _d1943- _eauthor. |
|
| 245 | 1 | 0 |
_aNonlinear finite elements for continua and structures / _cTed Belytschko, Wing Kam Liu, Brian Moran, Khalil I. Elkhodary. |
| 250 | _aSecond edition. | ||
| 264 | 1 |
_aChichester, West Sussex : _bJohn Wiley & Sons, Ltd., _c2014. |
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| 300 |
_axxviii, 804 pages ; _c25 cm. |
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| 336 |
_atext _2rdacontent |
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| 337 |
_aunmediated _2rdamedia |
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| 338 |
_avolume _2rdacarrier |
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| 504 | _aIncludes bibliographical references and index. | ||
| 505 | _aIntroduction -- Nonlinear finite elements in design -- Related books and a brief history of nonlinear finite elements -- Notation -- Mesh descriptions -- Classification of partial differential equations -- Exercises -- Lagrangian and Eulerian finite elements in one dimension -- Introduction -- Governing equations for total Lagrangian formulation -- Weak form for total Lagrangian formulation -- Finite element discretization in total Lagrangian formulation -- Element and global matrices -- Governing equations for updated Lagrangian formulation -- Weak form for updated Lagrangian formulation -- Element equations for updated Lagrangian formulation -- Governing equations for Eulerian formulation -- Weak forms for Eulerian mesh equations -- Finite element equations -- Solution methods -- Summary -- Exercises -- Continuum mechanics -- Introduction -- Deformation and motion -- Strain measures -- Stress measures -- Conservation equations -- Lagrangian. conservation equations -- Polar decomposition and frame-invariance -- Exercises -- Lagrangian meshes -- Introduction -- Governing equations -- Weak form: principle of virtual power -- Updated Lagrangian finite element discretization -- Implementation -- Corotational formulations -- Total Lagrangian formulation -- Total Lagrangian weak form -- Finite element semidiscretization -- Exercise -- Constitutive models -- Introduction -- The stress-strain curve -- One-dimensional elasticity -- Nonlinear elasticity -- One-dimensional plasticity -- Multiaxial plasticity -- Hyperelastic-plastic models -- Viscoelasticity -- Stress update algorithms -- Continuum mechanics and constitutive models -- Exercises -- Solution methods and stability -- Introduction -- Explicit methods -- Equilibrium solutions and implicit time integration -- Linearization -- Stability and continuation methods -- Numerical stability -- Material stability -- Exercises -- Arbitrary Lagrangian Eulerian formulations -- Introduction -- ALE continuum mechanics -- Conservation laws in ALE description -- ALE governing equations -- Weak forms -- Introduction to the Petrov-Galerkin method -- Petrov-Galerkin formulation of momentum equation -- Path-dependent materials -- Linearization of the discrete equations -- Mesh update equations -- Numerical example: an elastic-plastic wave propagation problem -- Total ALE formulations -- Element technology -- Introduction -- Element performance -- Element properties and patch tests -- Q4 and volumetric locking -- Multi-field weak forms and elements -- Multi-field quadrilaterals -- One-point quadrature elements -- Examples -- Stability -- Exercises -- Beams and shells -- Introduction -- Beam theories -- Continuum-based beam -- Analysis of CB beam -- Continuum-based shell implementation -- CB shell theory -- Shear and membrane locking -- Assumed strain elements -- One-point quadrature elements -- Exercises -- Contact-impact -- Introduction -- Contact interface equations -- Friction models -- Weak forms -- Finite element discretization -- On explicit methods -- XFEM -- INTRODUCTION -- PARTITION OF UNITY AND ENRICHMENTS -- ONE DIMENSIONAL XFEM -- MULTI-DIMENSION XFEM -- WEAK AND STRONG FORMS -- DISCRETE EQUATIONS -- LEVEL SET METHOD -- XFEM IMPLEMENTATION STRATEGY -- INTEGRATION -- AN EXAMPLE OF XFEM SIMULATION -- EXERCISE -- Introduction to multiresolution theory -- MOTIVATION: MATERIALS ARE STRUCTURED CONTINUA -- BULK DEFORMATION OF MICROSTRUCTURED CONTINUA -- GENERALIZING MECHANICS TO BULK MICROSTRUCTURED CONTINUA -- MULTISCALE MICROSTRUCTURES AND THE MULTIRESOLUTION CONTINUUM THEORY -- GOVERNING EQUATIONS FOR MCT -- CONSTRUCTING MCT CONSTITUTIVE RELATIONSHIPS -- BASIC GUIDELINES FOR RVE MODELS -- FINITE ELEMENT IMPLEMENTATION OF MCT -- NUMERICAL EXAMPLE -- FUTURE RESEARCH DIRECTION OF MCT MODELING -- EXERCISES -- Single-crystal plasticity -- Introduction -- Crystallographic description of cubic and non-cubic crystals -- Atomic origins of plasticity and the burgers vector in single crystals -- Defining slip planes and directions in general single crystals -- Kinematics of single crystal plasticity -- Dislocation density evolution -- Stress required for dislocation motion -- Stress update in rate-dependent single-crystal plasticity -- Algorithm for rate-dependent dislocation-density based crystal plasticity -- Numerical example -- Exercises -- Appendix 1. Voigt notation -- Appendix 2. Norms -- Appendix 3. Element shape functions -- Appendix 4. Euler angles from pole figures -- Appendix 5. Example of dislocation density evolutionary equations. | ||
| 520 |
_a'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'-- _cProvided by publisher. |
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| 650 | 0 |
_aFinite element method. _959728 |
|
| 650 | 0 | _aContinuum mechanics. | |
| 650 | 0 | _aStructural analysis (Engineering) | |
| 700 | 1 |
_aLiu, W. K. _q(Wing Kam), _eauthor. |
|
| 700 | 1 |
_aMoran, B. _q(Brian), _d1958- _eauthor. |
|
| 700 | 1 |
_aElkhodary, Khalil I., _eauthor. |
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| 856 | 4 | 2 |
_3Cover image _uhttp://catalogimages.wiley.com/images/db/jimages/9781118632703.jpg |
| 907 |
_a.b15872257 _b2019-11-12 _c2019-11-12 |
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| 942 |
_c01 _n0 _kTA347.F5B438 2014 3 |
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| 914 | _avtls003556229 | ||
| 991 | _aFakulti Kejuruteraan dan Alam Bina | ||
| 998 |
_al _b2014-08-04 _cm _da _feng _genk _y0 _z.b15872257 |
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| 999 |
_c566993 _d566993 |
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