Modelling, Simulation and Software Concepts for Scientific-Technological Problems

Cover......Page 1
 Electrostatic Force Microscopes (EFM)......Page 4
 Radially Symmetric Stationary Solutions......Page 5
 The Moving Boundary Problem......Page 8
  Presumptions for Modeling Polycrystals......Page 12
  PT Modeling at Linear and Nonlinear Kinematics......Page 14
 Spectrum of Eigenvalues of the Laplace–Beltrami Operator......Page 16
 Time Integration of Constitutive Equations......Page 17
  Laplace Spectra as Shape DNA for Surfaces and Solids......Page 18
 References......Page 19
  Presumptions for Modeling Polycrystals......Page 21
  Modeling of Polycrystals......Page 23
  Averaging Type Error Estimator and Effectivity Index......Page 25
  Adaptive Remeshing with Abaqus......Page 26
Front Matter......Page 2
 Least Squares Mixed Finite Element Methods for Elastoplastic Problems......Page 3
 Finite Element Analysis of Forming of Polymer Coated Sheet Metal......Page 6
 Magnetic Force Microscopes (MFM)......Page 7
 Conclusion......Page 9
 Contact Problems with Friction......Page 15
  Superelastic Polycrystalline NiTi......Page 28
  Dovetail Shaped Specimen......Page 32
  Partially Saturated Flow in Poro-Thermo-Elastic Media......Page 41
  Anisotropic Material Modeling......Page 43
  Medial Computations Since 2000 during the Years of GRK 615......Page 11
  Laplace Spectra as Image DNA......Page 20
 Numerical Examples......Page 27
 Conclusions......Page 29
  A Combined Strategy......Page 31
  Extension to Explicit Time Integration Schemes......Page 33
 Conclusions......Page 34
 References......Page 35
Thermo-Hydro-Mechanical Modeling of Coupled Processes in Clay Materials......Page 38
 Introduction......Page 10
  An Adaptive Computational Approach for Interlaminar Micro-Cracks......Page 24
  Superelastic Mono and Polycrystalline CuAlNi......Page 30
  Twinning of Monocrystalline SMAs......Page 13
 Conclusions and Prospects......Page 22
 Introduction......Page 39
 Theoretical Background......Page 40
  Non-linear Shrinkage Model......Page 44
  Continuum Damage Model......Page 46
  Liakopoulos Drainage Test......Page 52
  Step-wise Compression Test......Page 53
  Thermo-Hydro-Mechanical Simulation of a Generic Repository......Page 56
  Long-term Saturation Process (TDR-Test)......Page 65
  Modeling of Excavation Induced Processes in Claystone......Page 69
 Conclusions and Outlook......Page 78
 References......Page 80
 Computational Fracture Mechanics......Page 84
  Properties of Concrete......Page 85
  Continuum Mechanical Fracture Effects......Page 86
  Numerical Fracture Approaches......Page 87
 Strong Discontinuity Analysis......Page 89
  Kinematics......Page 91
  Finite Element Approximation......Page 92
  Discretized Set of Enhanced Equations......Page 94
  Isotropic Damage Model......Page 98
  Identification of the Fracture Plane Normal......Page 99
 Numerical Example......Page 101
 Continuous-Discontinuous Model......Page 103
  Overview of Fragmentation Techniques......Page 104
  Adaptive Mesh Refinement......Page 106
 Crack Path Continuity......Page 108
  Continuity Checks......Page 109
  Numerical Example......Page 110
 Discrete Fracture......Page 111
  3D Crack Propagation......Page 112
  A Combined Strategy......Page 114
  Extension to Explicit Time Integration Schemes......Page 116
  Incorporation of SDA Kinematics......Page 117
 Numerical Example......Page 118
 References......Page 121
 Finite Element Analysis of Blanking of Thin Metal Sheets......Page 126
 Finite Element Analysis of Forming of Polymer Coated Sheet Metal......Page 131
 Finite Element Analysis of Forming of Aluminium in a Semi-Solid State......Page 135
 References......Page 139
Computational Techniques for Multiscale Analysis of Materials and Interfaces......Page 141
 Introduction......Page 142
 Multiscale Methods in Computational Mechanics – A Brief Review......Page 143
 A Multiscale Approach for Contact Interfaces......Page 144
  A Multiscale Model for AFM Operation......Page 145
  A Consistent MD-FE Coupling Approach......Page 151
 Biomechanics of Bones......Page 159
  Continuum Approach......Page 160
  Multiscale Modeling of Cortical Bone Tissue......Page 161
  An Adaptive Computational Approach for Interlaminar Micro-Cracks......Page 164
  Mechanical Model for Bone Cells......Page 166
 Conclusions......Page 169
 References......Page 170
 Atomic Force Microscopes......Page 176
 Physical Foundations of AFMs......Page 177
  Mechanical Foundations......Page 179
 Magnetic Force Microscopes (MFM)......Page 182
 Conclusion......Page 184
 References......Page 186
Finite Element and Boundary Element Approaches to Transmission and Contact Problems in Elasticity......Page 188
 Adaptive FE/BE Coupling for Elasticity Problems......Page 189
 FE Analysis of a Process with Delamination......Page 197
 Contact Problems with Friction......Page 202
 Fluid-Structure Interaction......Page 204
 References......Page 206
 Efficient Solvers and A-posteriori Error Estimators for Mixed Problems in Elastoplasticity......Page 207
 Least Squares Mixed Finite Element Methods for Elastoplastic Problems......Page 209
 Least Squares Mixed Finite Element Solution of Contact Problems......Page 211
 References......Page 214
 Introduction......Page 216
 Medial Sets in Euclidean and Riemannian Spaces......Page 220
  Medial Computations Since 2000 during the Years of GRK 615......Page 226
  Remarks......Page 228
 Application of 3D-Medial Axis on Metal Forming Simulation......Page 229
 Spectrum of Eigenvalues of the Laplace–Beltrami Operator......Page 231
  Laplace Spectra as Shape DNA for Surfaces and Solids......Page 233
  Laplace Spectra as Image DNA......Page 235
 Conclusions and Prospects......Page 237
 References......Page 238
 The Mathematical Model......Page 241
 Radially Symmetric Stationary Solutions......Page 245
 The Moving Boundary Problem......Page 248
 References......Page 253
Back Matter......Page 255