Design of Structures Considering Creep

PREFACE INTRODUCTION Chapter 1. FUNDAMENTAL EQUATIONS OF THE THEORY OF CREEP 1. Equation of State 2. Kernels of Creep of Aging Materials 3. Effect of Stress and Temperature on Deformation Properties of Materials 4. Quasilinear Theory of Creep 5. Equations for Elastoplastic Deformation and Failure of Materials Considering Rate of Loading Chapter 2. CORRESPONDENCE PRINCIPLES IN THE LINEAR THEORY OF CREEP 1. Homogeneous Bodies 2. Application of Volterra Principles to a Heterogeneous Medium 3. Representation of Creep Operators in the Form of Functions of a Single Operator 4. Heterogeneous Aging Medium 5. Approximation of Variation of Modulus of Instantaneous Deformation with Respect to Time Chapter 3. DESIGN OF SYSTEMS CONSISTING OF REINFORCING ELEMENTS BY THE OPERATOR METHOD 1. Stress-strain State of a Reinforced Element 2. Integral Equations of the Method of Force Equilibrium 3. Operator Method of Solving the System of Equations of Force Equilibrium 4. Application of Volterra Principles to the Theorem of Reciprocity 5. System of Elements of Different Aging Chapter 4. METHODS OF APPROXIMATING FUNCTIONS OF VOLTERRA OPERATORS 1. One Possible Representation of the Solution of a Volterra-Type Equation 2. Expansion by Iterative Functions 3. Interpolation at Complex Nodes, Minimizing e0(T) 4. Interpolation at Real Nodes Minimizing Function e0(T) 5. Numerical Examples 6. Interpolation over Chebyshev Intervals 7. Expansion of Series through Resolvent Operators 8. Approximation of an Integral Operator by a Matrix Operator Chapter 5. METHODS OF SOLVING PROBLEMS IN THE THEORY OF INHERENT ELASTICITY 1. Properties of Functions of Special Operators 9* and K* 2. Integral Representation of Functions of 9* and K* Operators 3. Numerical Integration Method 4. Investigation of Extrema of the Solution 5. Determination of 9 ( - u , T), Ka(p, - u , T) and Their Integrals 6. Numerical Inversion of Laplace Transforms Chapter 6. METHOD OF FINITE SUMMATION 1. Reduction of Elastic Problems to Those of Successive Approximations 126 2. Singular Kernels Chapter 7. CREEP PROBLEMS OF HETEROGENEOUS BODIES 1. Reinforcing Elements Consisting of Aging Viscoelastic Material Fixed within an Inherently Elastic Semi-infinite Space 2. Design of Statically Indeterminate Electric Transmission Towers 3. Concrete Blocks on a Rock Foundation 4. Eccentric Compression of Wall Constructed with Rectangular Concrete Blocks 5. Hollow Heterogeneous Cylinder Subjected to Internal Pressure Chapter 8. FORMULATION OF INITIAL AND BOUNDARY VALUE PROBLEMS FOR AN EXTENDING VISCOELASTIC BODY 1. Jointing Two Viscoelastic Bodies 2. Formulation of Discrete Growth Problem 3. Formulation of Continuous Growth Problem Chapter 9. METHODS OF ANALYSIS OF EXTENDING VISCOELASTIC BODIES 1. Solution of Boundary Value Problem for Continuous Growth 2. Stepwise Method Chapter 10. CERTAIN PROBLEMS OF EXTENDING BODIES 180 1. Design of Extending Columns 2. Reinforcement of a Cylinder by a Multilayered Covering 3. Thermal Stresses in an Extending Concrete Mass Resting on a Rock Foundation [76] Chapter 11. OPTIMAL DESIGN OF CONTINUOUS CONSTRUCTIONS AND REINFORCED STRUCTURES 1. Optimal Geometry of a Continuous Body Consisting of Viscoelastic Material 2. Optimal Parameters of Systems with Reinforcing Elements 3. Some Problems of Optimization of Extending Bodies Literature Cited.