MARC 主機 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 998 s0001|b10-02-15|cm|da|e-|feng|gsz |h0|i1 998 s0001|b10-02-15|cm|da|e-|feng|gsz |h0|i1
|