Stability of structures elastic, inelastic, fracture and damage theories

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Hauptverfasser: Bažant, Zdeněk P. 1937- (VerfasserIn), Cedolin, Luigi (VerfasserIn)
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Veröffentlicht: Hackensack, NJ World Scientific 2010
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Datensatz im Suchindex

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adam_text Contents η Preface vìi Introduction xxi I ELASTIC THEORIES 1 Buckling of Elastic Columns by Equilibrium Analysis 3 1.1 Theory of Bending 4 1.2 Euler Load, Adjacent Equilibrium, and Bifurcation 5 1.3 Differential Equations of Beam-Columns 9 1.4 Critical Loads of Perfect Columns with Various End Restraints 12 1.5 Imperfect Columns and the Southwell Plot 19 Lateral Disturbing Load; Initial Curvature or Load Eccentricity; Behavior near the Critical Load; Southwell Plot 1.6 Code Specifications for Beam-Columns 27 1.7 Effect of Shear and Sandwich Beams 30 Pin-Ended Columns; Generalization; Sandwich Beams and Panels 1.8 Pressurized Pipes and Prestressed Columns 35 Pressurized Pipes; Prestressed Columns 1.9 Large Deflections 38 Solution of Rotations by Elliptic Integrals (Elastica); Deflections and Shortening; Discussion of Results 1.10 Spatial Buckling of Beams under Torque and Axial Force 46 2 Buckling of Elastic Frames by Equilibrium Analysis S3 2.1 Stiffness and Flexibility Matrices of Beam-Columns 54 Stiffness Matrix for End Rotations; Stiffness Matrix for End Rotations and Relative Lateral Displacement 2.2 Critical Loads of Frames and Continuous Beams 61 Simple Structures; Difficulties with the Flexibility Method; Generai Approach for Computer Analysis 2.3 Buckling as a Matrix Eigenvalue Problem and Use of Finite Elements 74 2.4 Large Regular Frames 78 2.5 Postcritical Reserve in Redundant Trusses 86 Example of a Statically Indeterminate Truss; Generalization and Limit Analysis Method; Order of Approximation x¡¡ CONTENTS 2.6 Postcritical Behavior of Frames 89 L-Frame of Koiter and Roorda; Second-Order Solution of the L-Frame; Imperfection Sensitivity; Generalizations and Implications; Order of Approximation; Postcritical Reserve Due to Redundancy; Finite Element Computational Procedure 2.7 Built-Up Columns and Regular Frames as Columns with Shear 102 2.8 High Arches 108 Curvature Change; Approximate Theory for Perfect Arches with a Fixed Compression Line; Various Types of Arches and the Effect of Imperfections; General Linearized Theory for Uniformly Compressed Circular Arches 2.9 Long-Wave Duckling of Regular Frames 118 System of Difference Equations; Solution for Tall Building Frames; Numerical Results and Their Discussion 2.10 Continuum Approximation for Large Regular Frames 129 Transition from Difference to Differential Equations; Continuum Approximation Based on Potential Energy; Micropolar Continuum and Couple Stresses; Stresses and Boundary Conditions; Numerical Results and Discussion 3 Dynamic Analysis of Stability 144 3.1 Vibration of Columns or Frames and Divergence 144 Columns; Types of Motion and Dependence of Natural Frequency on Load; Effect of Damping; Frames and Other Generalizations 3.2 Nonconservative Loads and Flutter 151 Massless Column under Follower Load; Effect of Distributed Mass; Elastically Supported Rigid Plate under Aerodynamic Forces; Conservative and Nonconservative Forces; Equations Governing Flutter or Suspension Bridges 3.3 Pulsating Loads and Parametric Resonance 162 Axial Pulsating Load on a Column; Undamped Vibration; Damped Vibration; Simple Energy Analysis of Parametric Resonance 3.4 Other Types of Dynamic Loads 170 3.5 Definition of Stability 174 3.6 Theorems of Lagrange-Dirichlet and of Liapunov 178 3.7 Stability Criteria for Dynamic Systems 184 3.8 Stability of Continuous Elastic Systems 187 3.9 Nonlinear Oscillations and Chaos 189 4 Energy Methods 199 4.1 Positive-Definite Matrices, Eigenvalues, and Eigenvectors 199 4.2 Potential Energy for Discrete Elastic Systems 207 Structure-Load System; Second Variation of Potential Energy; Critical State; An Example; Effect of Higher-Order Derivatives of П; Difficulties with Complementary Energy; Overturning Instability of a Block: Discontinuous П 4.3 Bifurcation Duckling at Small Deflections 216 Calculation of Potential Energy of Beam-Columns; Equilibrium CONTENTS and Stability; Role of Axial Strain and Shortening due to Deflections; Calculation of Π from the Work of Initial and Incremental Stresses; Example with Two Degrees of Freedom; Some Fundamental Aspects of Potential Energy 4.4 Snapthrough and Flat Arches 227 Von Mises Truss; Flat Arches; Effect of Imperfections; Other Examples of Snapthrough 4.5 Large-Deflection Postcritical Behavior and Types of Bifurcation 238 Symmetric Stable Bifurcation: Example; Symmetric Unstable Bifurcation: Example; Asymmetric Bifurcation: Example; L-Shaped Rigid-Bar Frame; Rigid-Bar Arch; Nonlinear Springs and Polynomial Approximation of Potential Energy; Two Degrees of Freedom: Example; Limit Points of Equilibrium Paths; Bifurcation Criterion in Terms of the Tangential Stiffness Matrix; Classification of Elementary Instabilities of Elastic Structures 4.6 Koiter s Theory, Imperfection Sensitivity, and Interaction of Modes 261 General Validity of Koiter s I-Power and f-Power Laws; Interaction of Buckling Modes 4.7 Catastrophe Theory and Breakdown of Symmetry 270 4.8 Snapdown at Displacement-Controlled Loading 278 Structures with Two Degrees of Freedom; Softening Specimen in a Testing Machine; Generalization of Snapdown Analysis; Equilibrium Paths with Bifurcations, Snapthrough, and Snapdown 4.9 Incremental Work Criterion at Equilibrium Displacements 294 Stability Criterion; Possibility of Generalization to Inelastic Systems 5 Energy Analysas of Continuous Structures and Approximate Methods 305 5.1 Indirect Variational Method and Euler Equation 306 Review of the Calculus of Variations; Application to Structures Possessing a Potential Energy; Review of Positive-Definite and Self-Adjoint Operators 5.2 Beam on Elastic Foundation 314 Potential Energy and Differential Equations; Solution for Different Boundary Conditions; Fiber on Elastic Foundation 5.3 Rayleigh Quotient 323 Upper-Bound Property of Rayleigh Quotient; Application to Beam-Columns; Relation to Differential Equation; Proof of Upper-Bound Property and Convergence; Extension to Free Vibration 5.4 Timoshenko Quotient and Relations between Various Bounds 331 Derivation; Exampies; Relation to Differential Equation and Proof of Upper-Bound Property; Relation to Rayleigh Quotient and Inequalities; Inapplicability to Dynamics; The Question of Lower Bounds 5.5 Bound Approximation for Columns, Frames, and High Arches 339 Columns; Frames; Elastically Supported Beams; High Arches CONTENTS 5.6 Rayleigh-Ritz Variational Method 348 5.7 Galerkin Variational Method 356 5.8 Method of Successive Approximations and Lower Bounds 358 Formulation of the Method; Example; Lower Bound 5.9 Nonlinear Problems; Large Deflections of Columns 361 6 Thin-Walled Beams 370 6.1 Potential Energy and Differential Equations 371 Deformation of the Cross Section; Potential Energy; Differential Equations and Boundary Conditions 6.2 Axial-Torsional Buckling of Columms 381 6.3 Lateral Buckling of Beams and Arches 384 Axial-Torsional Buckling due to Eccentric Axial Force; Lateral Buckling due to Bending Moment; Approximate Solution for Variable M°z; Bimoment; Lateral Buckling of Arches 6.4 Beams of Arbitrary Open Cross Section 392 General Theory of Warping Torsion; Stresses and Bimoment in General Theory; Potential Energy and Differential Equations; Monosymmetric Cross Section 6.5 Large Deflections 401 6.6 Box Girders 408 Deformation Modes and Postcritical Energy; Examples; Finite Element Solution; Interaction with Local Buckling 7 Plates and Shells 419 7.1 Classical Plate Theory 420 7.2 Differential Equation and Strain Energy 422 Strains; Potential Energy; Differential Equations of Equilibrium; Boundary Conditions; Direct Derivation of Transverse Resultant of In-Plane Forces; Discussion and Summary 7.3 Buckling of Rectangular Plates 431 Buckling of Simply Supported Plates; Rectangular Plate with Arbitrary Boundary Conditions; Buckling of Plate Subjected to Shear; Nonuniform In-Plane Forces; Solutions by Other Variational Methods 7.4 Large Deflections and Postcritical Reserve of Plates 440 Von Kármán— Fõppl Differential Equations; Solution by Minimization of Potential Energy; Large Deflections and Ultimate Strength; Measurement of Critical Loads 7.5 Axisymmetric Buckling of Cylindrical Shells 449 7.6 Shallow or Quasi-Shallow Shells 453 Basic Relations for Cylindrical Shells; Donnelľs Equation; Axially Compressed Cylindrical Shell; Effect of Lateral Pressure on Cylindrical Shells; Cylindrical Shell Subjected to Torsion; Variational Derivation from Potential Energy; Cylindrical Shell Panels; General Quasi-Shallow Shells 7.7 Nonlinear Analysis of Shell Buckling and Imperfections 466 Reduction Factors for Classical Critical Loads; Physical Source of Postcritical Load Drop and High Imperfection Sensitivity; Kotter*« CONTENTS xv Laws of Imperfection Sensitivity; Buckling Modes and Their Interaction; Summary 7.8 Sandwich Plates and Shells 474 Basic Relations for a Sandwich Plate Element; Rectangular Sandwich Plate and Other Problems II INELASTIC, DAMAGE, AND FRACTURE THEORIES 8 Elastoplastic Buckling 485 8.1 Perfect Columns or Structures and Shanley s Bifurcation 486 Reduced Modulus Load; Tangent Modulus Load; Column Strength Curve; Postbifurcation Load-Deflection Diagram; Bifurcation in Plastic Structures with Multiaxial Stress; Conclusion 8.2 Imperfect Columns and Structures 506 Shanley s Rigid-Bar Column: Exact Solution; Arbitrary Imperfect Columns: Approximate Solution; Effect of Cross-Section Nonsymmetry 8.3 Effect of Residual Stresses 513 Calculation of the Effect of Residual Stresses; Examples 8.4 Metal Columns and Structures: Design and Code Specifications 517 Centrically Loaded Columns; Load and Resistance Factor Design and Probabilistic Aspects; Beam-Columns; Plates, Shells, and Other Structures; Design Examples 8.5 Concrete Columns and Structures: Design and Code Specifications 532 Interaction Diagram (Failure Envelope); Deflections and Interaction Diagram; Numerical Algorithm for Calculating Deflections and Interaction Diagram; Column Response for Unsmooth Stress—Strain Diagrams; Design Recommendations and the ACI Code; СЕВ Design Recommendations; Comparisons of Codes and Shortcomings; Prestressed Concrete Columns; Shells and Other Structures; Stress—Strain Relations for Strain Softening; Design Examples 8.6 Perfectly Plastic Large-Deflection Buckling, Impact, and Blast 556 Load-Deflection Curve or Perfectly Plastic Columns; Buckling of Perfectly Plastic Frames; Plastic Redistribution and Reserve Capacity of Structures; Dynamic Impact; Perfectly Plastic Buckling of Thick Plates; Transverse Impact or Blast on Plates or Columns with In-Plane or Axial Loads 8.7 Geometric Tensile Instability, Localization, and Necking 569 Role of Transverse Contraction and Finite Strain; Strain Localization; Necking 9 Creep Buckling 584 9.1 Viscoelastic Stress-Strain Relations 585 Compliance Function and Integral-Type Creep Law; Differential- Type Creep Law and Rheologie Models; Elastic-Viscoelastic Analogy CONTENTS 9.2 Viscoelastic Buckling 590 Deflection History and Long-Time Critical Load; The Concept of Stability for Viscoelastic Structures; Extensions and Ramifications 9.3 Viscoplastic Buckling 597 Rigid-Bar Model Column; Critical Time and Stability Concept; Real Columns 9.4 Buckling of Aging Viscoelastic Structures 603 Aging Maxwell Solid (Dischinger-Type Methods); Deflections According to Aging Maxwell Model; Deflection According to More Realistic Rheologie Models; Deflection According to Effective Modulus; Deflection According to Age-Adjusted Effective Modulus; Deflection According to Integral-Type Stress- Strain Relation; Appendix I — Compliance Function and Relaxation Function of Concrete; Appendix II — Proof of Age- Adjusted Effective Modulus Method 9.5 Effect of Creep Deflection on Concrete Column Strength 615 9.6 Nonlinear Creep and Long-Time Strength of Concrete Structures 619 9.7 Creep Buckling at Finite Deflections 623 Example of Imperfection-Sensitive Rigid-Bar Column; Broader Implications and Ramifications; Variable Load 10 Stability of Inelastic Structures, Bifurcation and Thermodynamic Basis 633 10.1 Thermodynamic Criteria of Stable State 633 First and Second Laws of Thermodynamics; Tangentially Equivalent Elastic Structures; Total Energy V and Heimholte Free Energy F; Second Variation of ¿For <%; Path Dependence and Incremental Potentials; Second-Order Work of Stresses and Geometric Stiffness; Criterion of Stable State for the Case of Dead Loads; Extensions to Variable Loads; Stability at Critical State; Gibbs Free Energy and Enthalpy; Stability Criteria Based on Complementary Work; Structures with a Single Load or a Single Controlled Displacement; Summary 10.2 Thermodynamic Criteria of Stable Path 650 Path Stability for Basic Types of Control; Mixed Controls of Loads and Displacements; The Case of Equal (A5)in for Two Branches; Second-Order Work of Stresses along the Path; Structures with a Single Load or a Single Controlled Displacement; Stable States on Postbifurcation Branches; Further Comments and Conclusion 10.3 Application to Elastoplastic Columns and Broader Implications 658 Loading-Unloading Combinations and Equilibrium Paths; Second-Order Work; Stable Equilibrium States of Elastoplastic Column; Stable Equilibrium Path of an Elastoplastic Column; Breakdown of Symmetry; Hypothesis Implied in Present Thermodynamic Approach; Summary 10.4 Critical States of Stability and Bifurcation 670 Critical State for Structures with a Symmetric Stiffness Matrix; Critical States for Structures with a Nonsymmetric Stiffness CONTENTS xvii Matrix; Example of a Nonsymmetric Stiffness Matrix; Symmetric and Asymmetric Bifurcations at the Critical State; Uniqueness; Bifurcation for Inelastic Structures and Hill s Linear Comparison Solid; Distribution of Bifurcation Points and Postbifurcation Branches; Numerical Finite Element Analysis; Summary 10.5 Stability at Infinitesimal Loading Cycles 680 Internal Entropy Changes for Cycles in Shanley s Column; Stability; Structures with a Single Cyclic Load or Displacement; Incremental Collapse 10.6 Drucker s and Iľyushin s Postulates for Stable Materials 685 Drucker s Postulate; Iľyushin s Postulate; Nonuniformly Strained Bodies; Normality Rule for Plasticity 10.7 Stability of Frictional Materials and Structures 693 Frictional Block Preloaded by a Spring; Generalization to Frictional Continuum; Stability Condition of Frictional Materials; .Plastic Strain Increment foT Frictional Materials; Inverse Material Friction; Frictional Phenomena in Other Constitutive Theories 11 Three-Dimensional Continuum Instabilities and Effects of Finite Strain Tensor 706 11.1 Finite Strain 707 Notations and Basic Requirements; Lagrangian (Green s) Finite Strain Tensor; Bioťs Finite Strain Tensor; Second-Order Approximations of Other Finite Strain Tensors; Further Measures of Finite Strain; The Special Case of Thin Bodies; Decomposition of Strain into Elastic and Inelastic Parts 11.2 Stresses, Work, and Equilibrium at Finite Strain 715 Virtual Work Relations and Equilibrium; True (Cauchy) Stress; Stress Referred to Initial Configuration and Working on Displacement Gradient; Stress Referred to Initial Configuration and Working on Finite Strain 11.3 Incremental Equilibrium and Objective Stress Rates 720 Incremental Equilibrium Conditions; Increments of Cauchy (True) Stresses; Objective Stress Increments Conjugate to Strain Increments; Objective Stress Rates 11.4 Tangential Moduli at Large Initial Stress 726 11.5 Stable States and Paths for Multidimensional Continuous Bodies 732 11.6 Column or Plate with Shear: Finite-Strain Effect 734 Differential Equations; Theories of Engesser and Haringx; Correlation to Built-Up Columns; Summary 11.7 Surface Buckling and Internal Buckling of Anisotropie Solids 741 Basic Relations for Incompressible Orthotropic Solids; Surface Buckling of an Orthotropic Half-Space; Internal Buckling and Other Instabilities; General Solution 11.8 Consistent Geometric Stiffness Matrix of Finite Elements 748 11.9 Duckling of Curved Fibers in Composites 750 Macroscopic Elastic Stress-Strain Relations; Decrease of Elastic Moduli Due to Fiber Undulation; Generalization to Three Dimensions; Stresses Due to Fiber Undulation CONTENTS 12 Fracture as a Stability Problem 760 12.1 Linear Elastic Fracture Mechanics 760 Stress Singularity and Fracture Energy; Energy Release Rate; Determination of S and Gf from Compliance Changes; Some Simple Elastic Solutions; Approximation by Stress Relief Zone; Examples Solvable by Bending Theory; Herrmann s Method to Obtain Approximate Kx by Beam Theory 12.2 Nonlinear Fracture Mechanics and Size Effect 772 Inelastic Zone and Equivalent Elastic Crack; Fracture Models with a Nonlinear Zone; Size Effect 12.3 Crack Stability Criterion and Λ -Curve 782 R -Curve and Fracture Equilibrium Condition; Fracture Stability Criterion and Critical State; Determination of Geometry- Dependent Ä -Curve from Size Effect Law; Crack Propagation Direction; Kinking of Cracks and Three-Dimensional Instability of Front Edge 12.4 Snapback Instability of a Crack and Ligament Tearing 788 Generat Procedure for Load-Displacement Relation at Growing Crack; Snapback Instability at Crack Coalescence in Two Dimensions; Snapback Instability at Tearing of Circular Ligament; General Condition for Snapback at Ligament Tearing; Alternative Calculation of Displacement from Compliance Variation 12.5 Stable States and Stable Paths of Interacting Cracks 798 Conditions of Equilibrium and Stability in Terms of Crack Length; Stability of Parallel Cooling or Shrinkage Cracks; Stable Path and Bifurcation at Advancing Cooling Front; Thxee- Dimensional Pattern of Cooling or Shrinkage Cracks; Stability of Parallel Cracks in Reinforced Concrete; Stability Analysis in Terms of Displacements 12.6 Crack Spacing 816 Spacing of Parallel Initial Drying or Cooling Cracks: Energy Balance; Size of Initial Hexagonal Cracking Cells from Energy Balance; S π apt h rough Formation of Cracks According to LEFM; Crack Spacing in Loaded Reinforced Concrete Beams; Snapthrough Crack Formation in a Drying Tube 13 Damage and Localization Instabilities 829 13.1 Wave in Strain-Softening Materials 830 Exact Solution of Strain-Softening Bar; Stability Aspects and Unrealistic Properties of Solution of a Bar; Bar with Rehardening or Residual Yield Strength; Cylindrically or Spherically Converging Waves; General Three-Dimensional Condition for Waves to Exist; Summary 13.2 Series-Coupling Model for Localization Due to Softening 845 Stable States; Surface of Second-Order Work; Application to Uniaxially Stressed Bars or Specimens; Effects of Size and Support Stiffness; Specimen Ductility as a Function of Length and Loading Frame Stiffness; Inadmissibility of Arbitrarily Small Size of Localization Region; Bifurcation and Stable Path; Alternative: Imperfection Approach to Bifurcation; Identification CONTENTS xix of Softening Stress-Strain Relations from Tests; Relation of Strain Softening to Fracture Energy; Summary 13.3 Localization of Softening Damage into Planar Bands 857 Stability Condition for the Softening Band Within a Layer or Infinite Solid; Discussion of Various Cases; Numerical Examples; Generalization for Geometrically Nonlinear Effects; Bifurcation and Stable Path; Localization into Shear Bands Due to Nonassociatedness in Frictional Materials; Sand Liquefaction as a Localization Instability; Summary 13.4 Localization of Softening Damage into Ellipsoidal Regions 869 Eshelby s Theorem; Stability of Uniform Strain against Ellipsoidal Localization; Numerical Examples of Stability Limits and Discussion; Bifurcation and Stable Path of Ellipsoidal Localization; Simpler Derivation of Bifurcation Condition; Summary 13.5 Localization of Softening Damage into Spherical or Circular Regions 880 Localization Instability for Spherical Geometry; Localization Instability for Circular or Cylindrical Geometry; Numerical Examples; Bifurcation and Stable Path; Summary 13.6 Localization in Beams and Softening Hinges 887 Stability Limit and Snapback; Rotation Capacity or Ductility of Hinges in Concrete Beams; Length of the Softening Region; Bifurcation Due to Interaction of Softening Hinges; Imperfection Approach; Bifurcation and Localization in Redundant Structures; Bifurcation at Simultaneous Formation of Several Softening Hinges; Softening Frames and Trusses; Softening in Metallic Structures; Summary 13.7 Friction: Static and Dynamic 902 Paradox in Sudden Friction Drop; Bifurcation, Stable Path, and Localization of Frictional Slip; Frictional Supports in Columns; Structures with Stiffness Matrix Asymmetry 13.8 Bifurcations Due to Interaction of Softening Damage Zones 907 Interaction of Damage (Cracking) Fronts and Stable Paths; Convergence of Iterations Depends on Stability of State, not Path; Multiple Interacting Crack Band Fronts; Interaction of Multiple Shear Bands; Example: Buckling in Direct Tensile Test 13.9 Size Effect, Mesh Sensitivity, and Energy Criterion for Crack Bands 914 Localization as a Cause of Size Effect; Inobjectivity or Spurious Mesh Sensitivity; Energy Criterion for Crack Band and Stability 13.10 Nonlocal Continuum and Its Stability 921 Crack Band Model; Nonlocal Continuum Concept; Periodic Instabilities Due to Nonlocal Concept; Nonlocal Continuum with Local Strain; One-Dimensional Localization Instability; Measurement of Characteristic Length of Nonlocal Continuum; Example: Stability of a Tunnel; Gradient Approximation to Nonlocal Continuum; Summary 13.11 Constitutive Equations for Strain Softening 937 Glossary of Symbols 953 Author Index 963 Subject Index 973 STABILITY OF STRUCTURES Elastic, Inelastic, Fracture and Damage Theories A crucial element of structural and continuum mechanics, stability theory has limitless applications in civil, mechanical, aerospace, naval and nuclear engineering. This text of unparalleled scope presents a comprehensive exposition of the principles and applications of stability analysis. It has been proven as a text for introductory courses and various advanced courses for graduate students. It is also prized as an exhaustive reference for engineers and researchers. The authors1 focus on understanding of the basic principles rather than excessive detailed solutions, and their treatment of each subject proceed from simple examples to general concepts and rigorous formulations. All the results are derived using as simple mathematics as possible. Numerous examples are given and 700 exercise problems help in attaining a firm grasp of this central aspect of solid mechanics. The book is an unabridged republication of the 1991 edition by Oxford University Press and the 2003 edition by Dover, updated with 18 pages of end notes.
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Mathematik
format Book
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Bažant ; Luigi Cedolin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Hackensack, NJ</subfield><subfield code="b">World Scientific</subfield><subfield code="c">2010</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XXIV, 1011 S.</subfield><subfield code="b">Ill.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">"... an unabridged republication of the work first published as Volume 26 in "The Oxford Engineering Science Series" by Oxford University Press, Inc., New York, in 1991, and a second edition, published by Dover Publications, Inc., Mineola, New York, in 2003. Same as the previous Dover edition, the present World Scientific edition is updated by an extensive Appendix."--T.p. verso.</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and indexes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Structural analysis (Engineering)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Structural stability</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stability</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Strukturmechanik</subfield><subfield code="0">(DE-588)4126904-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Materialermüdung</subfield><subfield code="0">(DE-588)4074631-8</subfield><subfield code="2">gnd</subfield><subfield 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id DE-604.BV041283781
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indexdate 2024-12-24T03:48:38Z
institution BVB
isbn 9789814317023
9814317020
9789814317030
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language English
lccn 2011280703
oai_aleph_id oai:aleph.bib-bvb.de:BVB01-026732917
oclc_num 645707081
open_access_boolean
owner DE-703
owner_facet DE-703
physical XXIV, 1011 S. Ill.
publishDate 2010
publishDateSearch 2010
publishDateSort 2010
publisher World Scientific
record_format marc
spellingShingle Bažant, Zdeněk P. 1937-
Cedolin, Luigi
Stability of structures elastic, inelastic, fracture and damage theories
Structural analysis (Engineering)
Structural stability
Stability
Strukturmechanik (DE-588)4126904-4 gnd
Materialermüdung (DE-588)4074631-8 gnd
Baukonstruktion (DE-588)4004821-4 gnd
Bruchverhalten (DE-588)4121051-7 gnd
Elastizität (DE-588)4014159-7 gnd
Bruchfestigkeit (DE-588)4139715-0 gnd
Stabilität (DE-588)4056693-6 gnd
Mechanische Eigenschaft (DE-588)4217961-0 gnd
Bruchmechanik (DE-588)4112837-0 gnd
Festigkeitslehre (DE-588)4016917-0 gnd
Elastizitätstheorie (DE-588)4123124-7 gnd
subject_GND (DE-588)4126904-4
(DE-588)4074631-8
(DE-588)4004821-4
(DE-588)4121051-7
(DE-588)4014159-7
(DE-588)4139715-0
(DE-588)4056693-6
(DE-588)4217961-0
(DE-588)4112837-0
(DE-588)4016917-0
(DE-588)4123124-7
(DE-588)4143389-0
title Stability of structures elastic, inelastic, fracture and damage theories
title_auth Stability of structures elastic, inelastic, fracture and damage theories
title_exact_search Stability of structures elastic, inelastic, fracture and damage theories
title_full Stability of structures elastic, inelastic, fracture and damage theories Zdeněk P. Bažant ; Luigi Cedolin
title_fullStr Stability of structures elastic, inelastic, fracture and damage theories Zdeněk P. Bažant ; Luigi Cedolin
title_full_unstemmed Stability of structures elastic, inelastic, fracture and damage theories Zdeněk P. Bažant ; Luigi Cedolin
title_short Stability of structures
title_sort stability of structures elastic inelastic fracture and damage theories
title_sub elastic, inelastic, fracture and damage theories
topic Structural analysis (Engineering)
Structural stability
Stability
Strukturmechanik (DE-588)4126904-4 gnd
Materialermüdung (DE-588)4074631-8 gnd
Baukonstruktion (DE-588)4004821-4 gnd
Bruchverhalten (DE-588)4121051-7 gnd
Elastizität (DE-588)4014159-7 gnd
Bruchfestigkeit (DE-588)4139715-0 gnd
Stabilität (DE-588)4056693-6 gnd
Mechanische Eigenschaft (DE-588)4217961-0 gnd
Bruchmechanik (DE-588)4112837-0 gnd
Festigkeitslehre (DE-588)4016917-0 gnd
Elastizitätstheorie (DE-588)4123124-7 gnd
topic_facet Structural analysis (Engineering)
Structural stability
Stability
Strukturmechanik
Materialermüdung
Baukonstruktion
Bruchverhalten
Elastizität
Bruchfestigkeit
Stabilität
Mechanische Eigenschaft
Bruchmechanik
Festigkeitslehre
Elastizitätstheorie
Aufgabensammlung
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