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Title Page |
2 |
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Preface |
6 |
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Contents |
8 |
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A Quick Start into DAEdalon |
10 |
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Download and Installation |
10 |
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Elastomechanical Example |
10 |
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Principle of Virtual Displacements |
11 |
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Discretization of Basic Equations |
12 |
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Run DAEdalon |
14 |
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Fundamentals of Solid (Continuum) Mechanics |
19 |
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Vector–, Matrix– and Tensor–Notation |
19 |
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Kinematics and Deformation Gradient F |
20 |
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Definitions |
20 |
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Properties and Derivatives of F |
21 |
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Implementation |
23 |
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Strain– and Stress–Tensors |
23 |
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A Selection |
23 |
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Invariants and Derivatives of Strain Tensors |
24 |
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Stress Representation — Voigt Notation |
24 |
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Rate of Strain Energy — Stress Power, Internal Energy Turn Over |
26 |
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Variational Principle and Weak Form |
26 |
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Discretization in Space |
27 |
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Preparation and Rearrangement of Equations |
27 |
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Linear Shape Functions |
28 |
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Derivatives of the Shape Functions |
29 |
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Volume Integration |
31 |
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General Treatment of Nonlinearities — Solution by Newton–Procedure |
33 |
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Linearization |
34 |
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Iteration |
34 |
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Constitutive Behavior |
35 |
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The Materials Point of View |
35 |
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Stress Response |
35 |
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The Material Modulus ID |
35 |
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Selected Constitutive Models |
36 |
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Hyperelasticity |
36 |
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Parameter Calibration |
39 |
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Inelastic Behavior |
40 |
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FEM Implementation within {\sc Matlab} |
45 |
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{\sc Matlab} Basics |
45 |
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Structure of DAEdalon |
46 |
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Preprocessing |
47 |
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Structure of Input-Files and Processing |
47 |
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Numerical Solution |
47 |
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Assembly Procedure — The Global System |
47 |
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{\sc Newton}–Iteration |
48 |
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Postprocessing |
49 |
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Mesh Representation, Loads and Boundary Conditions |
49 |
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Contour-Plots |
49 |
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GUI — Realization of a Graphical Environment |
49 |
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Writing Extensions for DAEdalon |
50 |
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Continuum Element elem4.m with 4–Nodes in Plane Strain |
50 |
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Formulation for Rotational Symmetry of elem4.m |
51 |
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EAS Expansion of elem4.m |
52 |
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General Truss Element elem10.m with 2 Nodes |
55 |
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Material Models |
56 |
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Applications and Examples |
58 |
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Crane Modeled by 2D–Trusses |
58 |
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Axisymmetric Applications |
60 |
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Crack Tip Simulation |
61 |
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K_I–Field |
61 |
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Analysis of Plastic Zone within K_I–Field |
64 |
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What Does DAEdalon Mean ?— Background for Computational System — and Greek Mythology |
65 |
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References |
67 |
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Index |
69 |
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