UID:
almafu_9960073177902883
Format:
1 online resource (485 p.)
Edition:
1st ed.
ISBN:
1-281-03775-3
,
9786611037758
,
0-08-054337-5
Series Statement:
North-Holland series in applied mathematics and mechanics ; v. 46
Content:
This book deals with the impact of uncertainty in input data on the outputs of mathematical models. Uncertain inputs as scalars, tensors, functions, or domain boundaries are considered. In practical terms, material parameters or constitutive laws, for instance, are uncertain, and quantities as local temperature, local mechanical stress, or local displacement are monitored. The goal of the worst scenario method is to extremize the quantity over the set of uncertain input data.A general mathematical scheme of the worst scenario method, including approximation by finite element methods, i
Note:
Description based upon print version of record.
,
Cover; Chapter V. Elastic and Thermoelastic Beams; Uncertain Input Data Problems and the Worst Scenario Method; Copyright Page; Preface; Contents; List of Figures; List of Tables; Introduction; Acknowledgments; Chapter I. Reality, Mathematics, and Computation; 1 Modeling, Uncertainty, Verification, and Validation; 2 Various Approaches to Uncertainty; Chapter II. General Abstract Scheme and the Analysis of the Worst Scenario Method; 3 Formulation, Solvability, Approximation, Convergence; 9 Buckling of a Timoshenko Beam on an Elastic Foundation
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10 Bending of a Thermoelastic Beam with an Uncertain Coupling CoefficientChapter VI. Elastic Plates and Pseudoplates; 11 Pseudoplates; 12 Buckling of Elastic Plates; Chapter VII. Contact Problems in Elasticity and Thermoelasticity; 13 Signorini Contact Problem with Friction; 14 Unilateral Frictional Contact of Several Bodies in Quasi-Coupled Thermoelasticity; Chapter VIII. Hencky's and Deformation Theories of Plasticity; 15 Timoshenko Beam in Hencky's Model with Uncertain Yield Function; 16 Torsion in Hencky's Model with Uncertain Stress-Strain Law and Uncertain Yield Function
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17 Deformation Theory of PlasticityChapter IX. Flow Theories of Plasticity; 18 Perfect Plasticity; 19 Flow Theory with Isotropic Hardening; 20 Flow Theory with Isotropic Hardening in Strain Space; 21 Combined Linear Kinematic and Isotropic Hardening; 22 Validation of an Elasto-Plastic Plane Stress Model; Chapter X. Domains With Uncertain Boundary; 23 Neumann Boundary Value Problem; 24 Dirichlet Boundary Value Problem; Chapter XI. Essentials of Sensitivity and Functional Analysis; 25 Essentials of Sensitivity Analysis; 26 Essentials of Functional and Convex Analysis; Appendix
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V&V in Computational EngineeringBibliography; ; List of Symbols
,
English
Additional Edition:
ISBN 0-444-51435-X
Language:
English
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