UID:
almahu_9949697942002882
Format:
1 online resource (626 pages)
ISBN:
0-323-86016-8
Series Statement:
Woodhead Publishing series in civil and structural engineering
Note:
Intro -- Time-Dependent Reliability Theory and Its Applications -- Copyright -- Contents -- Preface -- Acknowledgments -- Chapter 1: Assessment of safety and reliability -- 1.1. Introduction -- 1.2. Deterministic methods -- 1.2.1. Safety factors -- 1.2.2. Load and resistance factors -- 1.2.3. Limitations of deterministic methods -- 1.3. Uncertainties in assessment -- 1.3.1. Sources of uncertainties -- 1.3.2. Uncertainties in design variables -- 1.3.2.1. Service loads -- 1.3.2.2. Material properties -- 1.3.2.3. Dimensions of structural components -- 1.3.3. Treatment of uncertainties -- 1.4. Time dimension in assessment -- 1.4.1. Time variance in basic variables -- 1.4.1.1. Applied loads -- 1.4.1.2. Material properties -- 1.4.1.3. Dimensions of structural components -- 1.4.2. Time variance in failure modes -- 1.4.3. Time variance in assessment criteria -- 1.5. Basic reliability problems -- 1.5.1. Random variables -- 1.5.2. Limit state function -- 1.5.3. Probability of failure -- 1.6. Summary -- Chapter 2: Essential reliability methods -- 2.1. Introduction -- 2.2. Basic reliability methods -- 2.2.1. Reliability index -- 2.2.2. First order reliability method -- 2.2.3. Second-order reliability method -- 2.3. Transformation and methods of moment -- 2.3.1. Transformation of variables -- 2.3.1.1. Rosenblatt transformation -- 2.3.1.2. Nataf transformation -- 2.3.2. Moments of limit state function -- 2.3.3. Methods of moment -- 2.4. Simulation methods -- 2.4.1. Random variates -- 2.4.1.1. Generation of random numbers -- 2.4.1.2. Generation of random variates -- 2.4.2. Monte Carlo simulation -- 2.4.3. Efficient sampling techniques -- 2.4.3.1. Importance sampling -- 2.4.3.2. Stratified sampling -- 2.4.3.3. Latin hypercube sampling -- 2.4.3.4. Features of Monte Carlo simulation -- 2.5. Methods for systems reliability -- 2.5.1. Series system.
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2.5.2. Parallel system -- 2.5.3. Methods for systems reliability -- 2.5.3.1. Failure sequence method -- 2.5.3.2. Bound method -- 2.6. Summary -- Chapter 3: Time-dependent reliability methods -- 3.1. Introduction -- 3.2. Basics of stochastic processes -- 3.2.1. Description of stochastic processes -- 3.2.1.1. Distribution functions -- 3.2.1.2. Statistics of X(t) -- 3.2.1.3. General properties -- 3.2.2. Discrete processes -- 3.2.3. Continuous processes -- 3.3. Time implicit methods -- 3.3.1. Integration method -- 3.3.2. Discrete method -- 3.3.2.1. Number of time intervals is known -- 3.3.2.2. Number of discrete time intervals is unknown -- 3.3.2.3. Return period -- 3.3.3. Extreme value method -- 3.4. Time explicit methods -- 3.4.1. First-passage method -- 3.4.2. Rice formula -- 3.4.3. Parallel system model -- 3.5. Application examples -- 3.5.1. Failure of bridge deck -- 3.5.1.1. Formulation of probability of failure -- 3.5.1.2. Models for S(t) and R(t) -- 3.5.1.3. Results -- 3.5.2. Design wind speed for transmission towers -- 3.5.2.1. Model for downburst wind -- 3.5.2.2. Formulation of design wind speed -- 3.5.2.3. Results -- 3.5.3. Collapse of structural system -- 3.5.3.1. Formulation of probability of structural collapse -- 3.5.3.2. Results -- 3.6. Summary -- Chapter 4: Solutions for nonstationary Gaussian processes -- 4.1. Introduction -- 4.2. Nonstationary processes -- 4.2.1. Definition of nonstationary processes -- 4.2.2. Trend processes -- 4.2.3. Nonstationary Gaussian processes -- 4.3. Upcrossing a threshold -- 4.3.1. Basic solution -- 4.3.2. Extended solution -- 4.3.3. Efficient solution -- 4.4. Outcrossing a polyhedron -- 4.4.1. Formulation of outcrossing problem -- 4.4.2. Solution to outcrossing rate -- 4.4.2.1. General case of all correlation -- 4.4.2.2. Special case of no cross correlation.
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4.4.2.3. Extension to nonlinear limit state function -- 4.4.3. PHI2+ solution -- 4.5. Application examples -- 4.5.1. Fatigue failure of bridge girder -- 4.5.1.1. Formulation of probability of failure -- 4.5.1.2. Model for fatigue damage parameter D(t) -- 4.5.1.3. Results and analysis -- 4.5.2. Fracture failure of buried pipe -- 4.5.2.1. Formulation of probability of pipe failure -- 4.5.2.2. Model for KI(t) -- 4.5.2.3. Results and analysis -- 4.5.3. Collapse of structural system -- 4.5.3.1. Statistics of vector process Z(t) -- 4.5.3.2. Case 1-Cross-correlation considered -- 4.5.3.3. Case 2-No cross-correlation -- 4.6. Summary -- Chapter 5: Solutions for nonstationary non-Gaussian processes -- 5.1. Introduction -- 5.2. Nonstationary non-Gaussian processes -- 5.2.1. Lognormal process -- 5.2.2. A generic model for general process -- 5.2.2.1. Deterministic model for crack width -- 5.2.2.2. Stochastic model for crack width -- 5.2.3. Hermite polynomial -- 5.3. Solution for lognormal process -- 5.3.1. Upcrossing for lognormal process -- 5.3.2. Derivation of solution -- 5.3.3. Demonstration and verification -- 5.3.3.1. Serviceability failure -- 5.3.3.2. Results and discussion -- 5.4. Solution for general processes -- 5.4.1. Problem formulation -- 5.4.2. Transformation of stochastic processes -- 5.4.3. Determination of upcrossing rate -- 5.4.3.1. Rice formula-based solution -- 5.4.3.2. PHI2-based solution -- 5.5. Application examples -- 5.5.1. Rupture of building balcony -- 5.5.2. Collapse of structural system -- 5.5.3. Dynamic reliability -- 5.5.3.1. Formulation of dynamic reliability -- 5.5.3.2. Transformation of displacement response X(t) -- 5.5.3.3. Results and analysis -- 5.6. Summary -- Chapter 6: Reliability with spatial-temporal variability -- 6.1. Introduction -- 6.2. Dependence structure -- 6.2.1. Basic concept of copulas -- 6.2.2. Family of copulas.
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6.2.2.1. Gaussian copula -- 6.2.2.2. Students t-copula -- 6.2.2.3. Archimedean copulas -- 6.2.2.4. Kendalls tau -- 6.2.3. Power spectral density -- 6.3. Simulation methods for time-dependent reliability -- 6.3.1. Formulation of the problem -- 6.3.2. Simulation based on copulas -- 6.3.3. Other simulation methods -- 6.3.3.1. Spectral representation method -- 6.3.3.2. Karhunen-Loève expansion method -- 6.4. Time-dependent finite element methods -- 6.4.1. Spatial-temporal process -- 6.4.2. Direct finite element methods -- 6.4.3. Stochastic finite element methods -- 6.5. Application examples -- 6.5.1. Simulation of wind pressure on building -- 6.5.1.1. Transformation of non-Gaussian process -- 6.5.1.2. Results -- 6.5.2. Simulation of corrosion pit growth -- 6.5.2.1. Modeling of corrosion pit growth -- 6.5.2.2. Results -- 6.5.3. Failure of buried pipeline network -- 6.5.3.1. Formulation of probability of pipeline failure -- 6.5.3.2. Results -- 6.6. Summary -- Chapter 7: Reliability-based service life prediction -- 7.1. Introduction -- 7.2. Prediction of service life -- 7.2.1. Formulation of service life -- 7.2.2. Life cycles -- 7.2.3. Probability of service life -- 7.3. Remaining safe life of deteriorated structures -- 7.3.1. Deterioration models -- 7.3.2. Deteriorated structural components -- 7.3.3. Deteriorated structural systems -- 7.4. Acceptance of risk -- 7.4.1. Definition of risk -- 7.4.2. Risks in engineering works -- 7.4.3. Criteria for risk acceptance -- 7.5. Application examples -- 7.5.1. Service life under ultimate limit state -- 7.5.1.1. Formulation of service life -- 7.5.1.2. Results -- 7.5.2. Service life under serviceability limit state -- 7.5.2.1. Formulation of service life for water leakage -- 7.5.2.2. Model for water seepage -- 7.5.2.3. Results -- 7.5.3. Remaining safe life for buried pipes -- 7.5.3.1. Formulation of remaining save life.
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7.5.3.2. Model for stress intensity factor -- 7.5.3.3. Results -- 7.6. Summary -- Chapter 8: Reliability-based maintenance strategy -- 8.1. Introduction -- 8.2. Risk-cost optimization -- 8.2.1. Formulation of maintenance strategy -- 8.2.2. Modeling of structural response -- 8.2.2.1. Ultimate strength -- 8.2.2.2. Convergence -- 8.2.2.3. Water seepage -- 8.2.2.4. Crack width -- 8.2.3. Algorithm for risk-cost optimization -- 8.3. Maintenance technologies -- 8.3.1. Types of maintenance -- 8.3.2. Repair techniques -- 8.3.3. Strengthening techniques -- 8.3.3.1. Steel plate bonding -- 8.3.3.2. High modulus carbon fiber-reinforced polymer -- 8.3.3.3. Hole drilling method -- 8.3.3.4. Cover plate attachment -- 8.4. Risk management -- 8.4.1. Risk identification -- 8.4.2. Sensitivity analysis -- 8.4.3. Risk mitigation -- 8.5. Application examples -- 8.5.1. Maintenance strategy for underground tunnel -- 8.5.1.1. Formulation of maintenance strategy -- 8.5.1.2. Results -- 8.5.2. Maintenance strategy for seawall -- 8.5.2.1. Formulation of the maintenance strategy -- 8.5.2.2. Results -- 8.5.3. Maintenance strategy for buried pipeline -- 8.5.3.1. Formulation of maintenance strategy -- 8.5.3.2. Fracture and strength failures -- 8.5.3.3. Leakage and loss of pressure -- 8.5.3.4. Results -- 8.6. Summary -- Chapter 9: Future outlook and challenges -- 9.1. Wider applications -- 9.1.1. Landslide -- 9.1.1.1. Formulation of slope failure -- 9.1.1.2. Probability of slope failure -- 9.1.2. Project completion time -- 9.1.2.1. Formulation of project completion time -- 9.1.2.2. Reliability of project completion time -- 9.1.2.3. Results -- 9.1.3. Finance default -- 9.1.3.1. Formulation of project default -- 9.1.3.2. Results -- 9.2. Solutions to outcrossing rate -- 9.2.1. Analytical solutions -- 9.2.2. Hybrid solutions -- 9.2.3. Accurate and efficient simulation.
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9.3. Whole life care of infrastructure.
Additional Edition:
Print version: Li, Chun-Qing Time-Dependent Reliability Theory and Its Applications San Diego : Elsevier Science & Technology,c2022 ISBN 9780323858823
Language:
English
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