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 LaplaceโBeltrami 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 โ 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 LaplaceโBeltrami 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