Modern Experimental Stress Analysis: Completing the Solution of Partially Specified Problems

Notation.

Introduction.

1 Finite Element Methods.

1.1 Deformation and Strain.

1.2 Tractions and Stresses.

1.3 Governing Equations of Motion.

1.4 Material Behavior.

1.5 The Finite Element Method.

1.6 Some Finite Element Discretizations.

1.7 Dynamic Considerations.

1.8 Geometrically Nonlinear Problems.

1.9 Nonlinear Materials.

2 Experimental Methods.

2.1 Electrical Filter Circuits.

2.2 Digital Recording and Manipulation of Signals.

2.3 Electrical Resistance Strain Gages.

2.4 Strain Gage Circuits.

2.5 Motion and Force Transducers.

2.6 Digital Recording and Analysis of Images.

2.7 Moiré Analysis of Displacement.

2.8 Holographic Interferometry.

2.9 Photoelasticity.

3 Inverse Methods 171

3.1 Analysis of Experimental Data.

3.2 Parametric Modeling of Data.

3.3 Parameter Identification with Extrapolation.

3.4 Identification of Implicit Parameters.

3.5 Inverse Theory for Ill-Conditioned Problems.

3.6 Some Regularization Forms.

3.7 Relocation of Data onto a Grid Pattern.

3.8 Discussion.

4 Static Problems 219

4.1 Force Identification Problems.

4.2 Whole-Field Displacement Data.

4.3 Strain Gages.

4.4 Traction Distributions.

4.5 Nonlinear Data Relations.

4.6 Parameter Identification Problems.

4.7 Choosing the Parameterization.

4.8 Discussion.

5 Transient Problems with Time Data.

5.1 The Essential Difficulty.

5.2 Deconvolution using Sensitivity Responses.

5.3 Experimental Studies.

5.4 Scalability Issues: Recursive Formulation.

5.5 The One-Sided Hopkinson Bar.

5.6 Identifying Localized Stiffness and Mass.

5.7 Implicit Parameter Identification.

5.8 Force Location Problems.

5.9 Discussion.

6 Transient Problems with Space Data.

6.1 Space–Time Deconvolution.

6.2 Preliminary Metrics.

6.3 Traction Distributions.

6.4 Dynamic Photoelasticity.

6.5 Identification Problems.

6.6 Force Location for a Shell Segment.

6.7 Discussion.

7 Nonlinear Problems.

7.1 Static Inverse Method.

7.2 Nonlinear Structural Dynamics.

7.3 Nonlinear Elastic Behavior.

7.4 Elastic-Plastic Materials.

7.5 Nonlinear Parameter Identification.

7.6 Dynamics of Cracks.

7.7 Highly Instrumented Structures.

7.8 Discussion.

Afterword.

References.

Index.