Probabilistic Methods in the Mechanics of Solids and Structures: Symposium Stockholm, Sweden June 19–21, 1984 To the Memory of Waloddi Weibull

Front Matter....Pages I-XXVI
Front Matter....Pages 1-1
Applications of Extreme Value Theory to Problems of Material Behavior....Pages 3-9
A Matrix-Valued Weibull Distribution....Pages 11-21
Extreme Value Statistics Compatible with Random Field Theory....Pages 23-29
Some Problems of Estimation for Mixed-Weibull Populations which Arise in Fatigue or Strength Models....Pages 31-39
Extreme Value Theory in Endurance Testing of Ball and Roller Bearings....Pages 41-52
The Use of Slepian Model Processes in Crossing and Extreme Value Theory....Pages 53-58
Plastic Movements of Linear Elastic-Ideal Plastic Oscillator Subject to Gaussian Process Excitation....Pages 59-70
Generalized Hermite Polynomials and the Spectrum of Nonlinear Random Vibration....Pages 71-80
Weibull Distributions and Large Earthquake Modelling....Pages 81-89
Front Matter....Pages 91-91
Analysis of Stochastic Equation Models of Crack Growth....Pages 93-101
Stochastic Modeling of Fatigue Crack Propagation....Pages 103-110
Stochastic Modelling of Fatigue Crack Growth....Pages 111-119
Probabilistic Crack Propagation Using Cycle-by-Cycle Technique....Pages 121-133
Fatigue Life Distribution for Structures with Interacting Failures....Pages 135-144
A Consistent Reliability Concept Utilizing Fracture Mechanics....Pages 145-156
Fatigue Crack Propagation under Random Loading....Pages 157-164
Correlation between Micro Fracture Process and Fatigue Crack Propagation....Pages 165-173
Front Matter....Pages 175-175
Sets of Multiple Cracks in Solids with Application to the Fatigue Life and Reliability Prediction....Pages 177-197
Stochastic Approach to Statistical Aspects of Failure....Pages 199-213
Fatigue Life and Reliability Estimation of Mineral-Oil Pipe Lines....Pages 215-229
Front Matter....Pages 175-175
Assessment of Surface Strength and Bulk Strength of a Typical Brittle Material....Pages 231-240
The “Weakest Link” Concept after Proof Testing....Pages 241-251
Brittle Material Design Using Three Parameter Weibull Distributions....Pages 253-262
Ring-on-Ring Tests and the Modeling of Cladding Glass Strength by the Weibull Distribution....Pages 263-269
Probabilistic Analysis of Plastic Plates....Pages 271-280
Lower Bound Reliability Analysis of Plastic Structures....Pages 281-290
Probabilistic Models for Composites: Are there Flaws in the Theory?....Pages 291-298
Failure Statistics of Unidirectional Long-Fiber Composites....Pages 299-305
Stochastic Approach to Study the Fracture and Fatigue of Concrete....Pages 307-317
The Statistical Theory of Brittle Fracture Applied on Concrete....Pages 319-328
Front Matter....Pages 329-329
Calculating PWR Pressure Vessel Failure Frequencies....Pages 331-341
Probabilistic Assessment of Structures with Weld Defects....Pages 343-353
Probability of Fracture in the Main Coolant Pipe of a Pressurized Water Reactor....Pages 355-361
Statistical Modeling of Shift in the Reference Temperature of Pressure Vessel Welds....Pages 363-372
Front Matter....Pages 373-373
Combining Component and System Information in System Reliability Calculation....Pages 375-383
Recent Developments in Multistate Reliability Theory....Pages 385-393
Bayesian Fatigue Life Prediction....Pages 395-406
Closed Form Solutions for Cost Optimized Reliability....Pages 407-414
Dynamic Updating of Cumulative Damage Models for Reliability and Maintenance Based upon Service Information....Pages 415-424
Front Matter....Pages 425-425
Random Vibration of Inelastic Structures....Pages 427-436
Front Matter....Pages 425-425
Response of Simple Oscillators to Student’s t Excitations....Pages 437-444
Multi-Failure Mode Systems under Time-Variant Loading....Pages 445-454
Random Vibration of a Structure via Classical and Nonclassical Theories....Pages 455-467
Reliability Assessment for Non-Linear Random Frames....Pages 469-478
On Reliability and Strength of Structural Components against Seismic Excitation....Pages 479-488
Random Vibration and Response Spectrum Approaches in Seismic Structural Designs....Pages 489-497
Effect of a Damper on the Wind-Induced Oscillations of a Tall Mast....Pages 499-499
Reduction of Wind-Induced Random Vibrations by Use of an Optimal Dynamic Absorber....Pages 501-516
Failure Probability and Parameter Estimation for Structures with Weibull-Distributed Strength....Pages 517-526
Front Matter....Pages 527-527
Reliability Approach to Structural Safety and Safety Criteria....Pages 529-557
Fatigue Reliability of Structural Components under Scheduled Inspection and Repair Maintenance....Pages 559-568
Reliability Analysis of Landing Gear Fatigue Life....Pages 569-577
The Importance Factor — A Set of Problems....Pages 579-585
Criteria for the Selection of Load Combination Factors....Pages 587-595
Data Pooling Analysis Based on Fatigue Reliability Data-Base....Pages 597-610