LEADER 00000cam a2202065Ia 4500
001 ocn907203642
003 OCoLC
005 20151102133153.0
008 150403s2015 sz a b 001 0 eng d
020 9783319182414
020 3319182412
035 (OCoLC)907203642
040 BTCTA|beng|cBTCTA|dYDXCP|dNUI|dNhCcYME
050 4 QA931|b.A46 2015
090 QA931|b.A46 2015
245 00 Analysis and Computation of Microstructure in Finite
Plasticity /|cSergio Conti, Klaus Hackl, editors.
260 Cham :|bSpringer Verlag,|cc2015.
300 xi, 256 p. :|bill. ;|c25 cm.
336 text|btxt|2rdacontent.
337 unmediated|bn|2rdamedia.
338 volume|bnc|2rdacarrier.
490 1 Lecture notes in applied and computational mechanics,
|x1613-7736 ;|vv. 78.
650 0 Plasticity|xMathematical models.
650 0 Microstructure|xMathematical models.
700 1 Hackl, K.|q(Klaus),|eeditor.
700 1 Conti, Sergio,|d1971-|eeditor.
830 0 Lecture notes in applied and computational mechanics ;|vv.
78.|x1613-7736.
907 .b76521278|b04-12-16|c10-02-15
910 RDA ENRICHED
910 ybp
910 Backstage
910 TOC
910 Hathi Trust report SPM
910 BROWNu
970 11 |l1.|tNumerical Algorithms for the Simulation of Finite
Plasticity with Microstructures|cBoris Kramer|fKramer,
Boris|p1
970 11 |l1.1.|tIntroduction|p1
970 11 |l1.2.|tPreliminaries and Notation|p3
970 11 |l1.3.|tConvergent Adaptive Finite Element Method for the
Two-Well Problem in Elasticity|p4
970 11 |l1.3.1.|tReview of the Model Problem|p5
970 11 |l1.3.2.|tAdaptive Algorithm|p6
970 11 |l1.3.3.|tConvergence for the Deformation Gradient|p9
970 11 |l1.4.|tGuaranteed Lower Energy Bounds for the Two-Well
Problem|p10
970 11 |l1.4.1.|tNonconforming FEM and Discrete Energy Functional
|p10
970 11 |l1.4.2.|tLower Energy Bounds|p12
970 11 |l1.4.3.|tGuaranteed Error Control for the Pseudo-stress
|p15
970 11 |l1.4.4.|tNumerical Experiments|p16
970 11 |l1.5.|tDiscontinuous Galerkin Method for Degenerate
Convex Minimization Problems|p17
970 11 |l1.5.1.|tOptimal Design Benchmark|p18
970 11 |l1.5.2.|tDiscontinuous Galerkin Methods|p20
970 11 |l1.5.3.|tLifting Operator R|p20
970 11 |l1.5.4.|tConnection with the Nonconforming Method|p21
970 11 |l1.5.5.|tAdaptive Finite Element Method|p22
970 11 |l1.5.6.|tComputational Experiments|p22
970 11 |l1.5.7.|t₀أ-shaped Domain|p23
970 11 |l1.5.8.|tSlit Domain|p24
970 11 |l1.6.|tConclusions and Outlook|p25
970 11 |l2.|tVariational Modeling of Slip: From Crystal
Plasticity to Geological Strata|cCarolin Kreisbeck
|fKreisbeck, Carolin|p31
970 11 |l2.1.|tIntroduction|p31
970 11 |l2.2.|tExperimental Observation of Slip Microstructures
in Nature|p33
970 11 |l2.2.1.|tChevron Folds in Rocks|p34
970 11 |l2.2.2.|tKink Bands in Stacks of Paper under Compression
|p34
970 11 |l2.2.3.|tSimple Laminates in Shear Experiments in Crystal
Plasticity|p36
970 11 |l2.3.|tThe Hunt-Peletier-Wadee Model for Kink Bands|p37
970 11 |l2.4.|tVariational Modeling of Microstructure|p38
970 11 |l2.5.|tModels in Crystal Plasticity with One Active Slip
System|p41
970 11 |l2.5.1.|tVariational Formulation of Crystal Plasticity
|p42
970 11 |l2.5.2.|tRelaxation Results in Crystal Plasticity with
One Slip System|p44
970 11 |l2.5.3.|tHeuristic Origin of the Laminates|p46
970 11 |l2.5.4.|tRelation to Kink Bands in Rocks|p49
970 11 |l2.5.5.|tElastic Approximation|p51
970 11 |l2.5.6.|tHigher-Order Regularizations|p52
970 11 |l2.6.|tBeyond One Slip-System|p53
970 11 |l2.6.1.|tTwo Slip Systems in a Plane|p53
970 11 |l2.6.2.|tThree Slip Systems in a Plane|p54
970 11 |l3.|tRate-Independent versus Viscous Evolution of
Laminate Microstructures in Finite Crystal Plasticity
|cKlaus Hackl|fHackl, Klaus|p63
970 11 |l3.1.|tIntroduction|p63
970 11 |l3.2.|tVariational Modeling of Microstructures|p64
970 11 |l3.3.|tSingle Slip Crystal Plasticity|p67
970 11 |l3.4.|tPartial Analytical Relaxation via Lamination|p67
970 11 |l3.5.|tRate-Independent Evolution|p70
970 11 |l3.5.1.|tEvolution Equations|p70
970 11 |l3.5.2.|tLaminate Rotation|p71
970 11 |l3.5.3.|tLaminate Initiation|p72
970 11 |l3.5.4.|tNumerical Scheme|p72
970 11 |l3.6.|tSimulation of Rotating Laminates|p73
970 11 |l3.7.|tViscous Evolution|p75
970 11 |l3.7.1.|tEvolution Equations|p76
970 11 |l3.7.2.|tLaminate Rotation|p77
970 11 |l3.7.3.|tLaminate Initiation|p77
970 11 |l3.8.|tComparison of the Laminate Evolution for the Rate-
Independent Case and the Viscosity Limit|p78
970 11 |l3.9.|tConclusion and Discussion|p85
970 11 |l4.|tVariational Gradient Plasticity: Local-Global
Updates, Regularization and Laminate Microstructures in
Single Crystals|cChristian Miehe|fMiehe, Christian|p89
970 11 |l4.1.|tIntroduction|p90
970 11 |l4.2.|tA Multifield Formulation of Gradient Crystal
Plasticity|p93
970 11 |l4.2.1.|tIntroduction of Long-Range Field Variables|p93
970 11 |l4.2.2.|tIntroduction of Short-Range Field Variables|p96
970 11 |l4.2.3.|tEnergy Storage, Dissipation Potential and Load
Functionals|p99
970 11 |l4.2.4.|tRate-Type Variational Principle and Euler
Equations|p102
970 11 |l4.2.5.|tExplicit Form of the Micro-force Balance
Equations|p103
970 11 |l4.3.|tAlgorithmic Formulation of Gradient Crystal
Plasticity|p103
970 11 |l4.3.1.|tTime-Discrete Field Variables in Incremental
Setting|p103
970 11 |l4.3.2.|tUpdate Algorithms for the Short-Range Field
Variables|p104
970 11 |l4.3.3.|tTime-Discrete Incremental Variational Principle
|p105
970 11 |l4.3.4.|tSpace-Time-Discrete Incremental Variational
Principle|p106
970 11 |l4.4.|tExample 1: Analysis of an F.C.C. Crystal Grain
Aggregate|p108
970 11 |l4.4.1.|tSlip Systems and Euler Angles|p108
970 11 |l4.4.2.|tVoronoi-Tessellated Unit Cell under Shear|p109
970 11 |l4.5.|tExample 2: Laminate Microstructure in Single
Crystals|p110
970 11 |l4.5.1.|tDouble Slip Systems|p111
970 11 |l4.5.2.|tImplications of Same Plane Double Slip|p112
970 11 |l4.5.3.|tLaminate Deformation Microstructure in Single
Crystal Copper|p114
970 11 |l4.6.|tConclusion|p118
970 11 |l5.|tVariational Approaches and Methods for Dissipative
Material Models with Multiple Scales|cAlexander Mielke
|fMielke, Alexander|p125
970 11 |l5.1.|tIntroduction|p125
970 11 |l5.2.|tVariational Formulations for Evolution|p127
970 11 |l5.2.1.|tGeneralized Gradient Systems and the Energy-
Dissipation Principle|p128
970 11 |l5.2.2.|tRate-Independent Systems and Energetic Solutions
|p132
970 11 |l5.3.|tEvolutionary ₀أ-Convergence|p134
970 11 |l5.3.1.|tpE-convergence for Generalized Gradient Systems
|p134
970 11 |l5.3.2.|tpE-convergence for Rate-Independent Systems|p137
970 11 |l5.4.|tJustification of Rate-Independent Models|p138
970 11 |l5.4.1.|tWiggly Energies Give Rise to Rate-Independent
Friction|p139
970 11 |l5.4.2.|t1D Elastoplasticity as Limit of a Chain of
Bistable Springs|p141
970 11 |l5.4.3.|tBalanced-Viscosity Solutions as Vanishing-
Viscosity Limits|p143
970 11 |l5.5.|tRate-Independent Evolution of Microstructures|p147
970 11 |l5.5.1.|tLaminate Evolution in Finite-Strain Plasticity
|p148
970 11 |l5.5.2.|tA Two-Phase Shape-Memory Model for Small Strains
|p149
970 11 |l6.|tEnergy Estimates, Relaxation, and Existence for
Strain-Gradient Plasticity with Cross-Hardening|cPatrick
W. Dondl|fDondl, Patrick W.|p157
970 11 |l6.1.|tIntroduction|p158
970 11 |l6.2.|tA Continuum Model for Strain-Gradient Plasticity
with Cross Hardening|p159
970 11 |l6.2.1.|tPlastic Shear|p160
970 11 |l6.2.2.|tLocks and Cross-Hardening|p161
970 11 |l6.2.3.|tGeometrically Necessary Dislocations|p162
970 11 |l6.2.4.|tThe Model|p163
970 11 |l6.3.|tRelaxation of the Single-Slip Condition|p164
970 11 |l6.4.|tSome Remarks about Existence of Minimizers|p168
970 11 |l6.5.|tEnergy Estimates for a Shear Experiment|p168
970 11 |l6.6.|tConclusions|p171
970 11 |l7.|tGradient Theory for Geometrically Nonlinear
Plasticity via the Homogenization of Dislocations
|cCaterina Ida Zeppieri|p175
970 11 |l7.1.|tIntroduction|p175
970 11 |l7.2.|tKey Mathematical Challenges|p183
970 11 |l7.3.|tHeuristics for Scaling Regimes|p184
970 11 |l7.3.1.|tThe Core Energy of a Single Dislocation|p184
970 11 |l7.3.2.|tThe Core Energy of Many Dislocations|p186
970 11 |l7.3.3.|tThe Interaction Energy|p187
970 11 |l7.4.|tMain Result|p189
970 11 |l7.4.1.|tSet-Up|p189
970 11 |l7.4.2.|tResults|p191
970 11 |l7.5.|tIdeas of Proof|p193
970 11 |l8.|tMicrostructure in Plasticity, a Comparison between
Theory and Experiment|cPatrick W. Dondl|fDondl, Patrick W.
|p205
970 11 |l8.1.|tIntroduction|p205
970 11 |l8.2.|tModeling Continuum Plasticity|p207
970 11 |l8.3.|tA Single-Pass Shear Deformation Experiment and the
Resulting Microstructure|p208
970 11 |l8.3.1.|tSample Preparation and Shear Deformation
Experiments|p208
970 11 |l8.3.2.|tDigital Image Correlation for Strain Mapping and
EBSD for Texture Mapping|p209
970 11 |l8.3.3.|tOutcome of the Single Crystal Shear Deformation
Experiments|p210
970 11 |l8.3.4.|tEnergy Minimizing Microstructure|p212
970 11 |l8.3.5.|tAn Analysis of the Substructure Within the
Lamination Bands|p215
970 11 |l8.4.|tConclusions|p216
970 11 |l9.|tConstruction of Statistically Similar RVEs|cJorg
Schroder|fSchroder, Jorg|p219
970 11 |l9.1.|tIntroduction|p220
970 11 |l9.2.|tStatistically Similar RVEs|p222
970 11 |l9.2.1.|tMethod|p223
970 11 |l9.2.2.|tLower and Upper Bounds of RVEs|p224
970 11 |l9.2.3.|tStatistical Measures|p225
970 11 |l9.3.|tConstruction and Analysis of SSRVEs|p233
970 11 |l9.3.1.|tObjective Functions|p235
970 11 |l9.3.2.|tCoupled Micro-macro Simulations|p240
970 11 |l9.3.3.|tSSRVEs Based on Different Sets of Statistical
Measures|p241
970 11 |l9.3.4.|tComparison of Stress on Microscale|p244
970 11 |l9.3.5.|tAnalysis of Bounds|p248
970 11 |l9.4.|tConclusion|p250
970 01 |tAuthor Index|p257
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998 s0001|b10-02-15|cm|da|e-|feng|gsz |h0|i1
