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تذكير بمساهمة فاتح الموضوع : أخوانى فى الله أحضرت لكم كتاب Principles of Solid Mechanics Rowland Richards, Jr.
![كتاب Principles of Solid Mechanics - صفحة 2 48zr8nakftme](https://2img.net/h/gulfup.co/i/00678/48zr8nakftme.jpg) ويتناول الموضوعات الأتية :
Introduction Types of Linearity Linear Shapes—The “Elastic Line” Linear Displacement (Plane Sections) Linear Stress Strain Behavior (Hooke’s Law) Geometric Linearity Linear Tangent Transformation Displacements—Vectors and Tensors Finite Linear Transformation Symmetric and Asymmetric Components Asymmetric Transformation Symmetric Transformation Principal or Eigenvalue Representation Field Theory Problems and Questions Strain and Stress Deformation (Relative Displacement) The Strain Tensor The Stress Tensor Components at an Arbitrary Orientation (Tensor Transformation) Invariants and Principal Orientation Isotropic and Deviatoric Components Principal Space and the Octahedral Representation Two-Dimensional Stress or Strain Mohr’s Circle for a Plane Tensor Mohr’s Circle in Three Dimensions Equilibrium of a Differential Element Other Orthogonal Coordinate Systems Cylindrical Coordinates ( Spherical Coordinates ( Plane Polar Coordinates ( Summary Problems and Questions Stress–Strain Relationships (Rheology) Linear Elastic Behavior Linear Viscous Behavior Simple Viscoelastic Behavior Fitting Laboratory Data with Viscoelastic Models Elastic–Viscoelastic Analogy Elasticity and Plasticity Yield of Ductile Materials Yield (Slip) of Brittle Materials Problems and Questions Strategies for Elastic Analysis and Design Rational Mechanics Boundary Conditions Tactics for Analysis Direct Determination of Displacements Direct Determination of Stresses St Venant’s Principle Two- Dimensional Stress Formulation Types of Partial Differential Field Equations Properties of Elliptic Equations The Conjugate Relationship Between Mean Stress and Rotation The Deviatoric Field and Photoelasticity Solutions by Potentials Problems and Questions Linear Free Fields Isotropic Stress Uniform Stress Geostatic Fields Uniform Acceleration of the Half-space Pure Bending of Prismatic Bars Pure Bending of Plates Problems and Questions Two-Dimensional Solutions for Straight and Circular Beams The Classic Stress-Function Approach Airy’s Stress Function in Cartesian Coordinates Polynomial Solutions and Straight Beams Polar Coordinates and Airy’s Stress Function Simplified Analysis of Curved Beams Pure bending of a Beam of Circular Arc Circular Beams with End Loads Concluding Remarks Problems and Questions Ring, Holes, and Inverse Problems Lamés Solution for Rings under Pressure Small Circular Holes in Plates, Tunnels, and Inclusions Isotropic Field Deviatoric Field General Biaxial Field Harmonic Holes and the Inverse Problem Design Condition Harmonic Holes for Free Fields Harmonic Holes for Biaxial Fields Harmonic Holes for Gradient Fields Neutral Holes Solution Tactics for Neutral Holes—Examples Isotropic Field Deviatoric Field General Biaxial Field Gradient Fields with an Isotropic Component Summary Rotating Disks and Rings Disk of Constant Thickness Variable Thickness and the Inverse Problem Problems and Questions Wedges and the Half-Space Concentrated Loadings at the Apex Uniform Loading Cases Uniform Loading over a Finite Width Nonuniform Loadings on the Half-Space Line Loads within the Half-Space Diametric Loading of a Circular Disk Wedges with Constant Body Forces Corner Effects—Eigenfunction Strategy Problems and Questions Torsion Elementary (Linear) Solution St Venant’s Formulation (Noncircular Cross-Sections) Solutions by St Venant Prandtl’s Stress Function Membrane Analogy Thin-Walled Tubes of Arbitrary Shape Hydrodynamic Analogy and Stress Concentration Problems and Questions Concepts of Plasticity Plastic Material Behavior Plastic Structural Behavior Plasticity Field Equations Example—Thick Ring Limit Load by a “Work” Calculation Theorems of Limit Analysis The Lower-Bound Theorem The Upper-Bound Theorem Example—the Bearing Capacity (Indentation) Problem Circular Mechanisms Sliding Block Mechanisms Problems and Questions One-Dimensional Plasticity for Design Plastic Bending Plastic “Hinges” Limit Load (Collapse) of Beams Limit Analysis of Frames and Arches Limit Analysis of Plates Plastic Torsion Sand-Hill and Roof Analogies Sections with Holes and Keyways Combined Torsion with Tension and/or Bending Problems and Questions Slip-Line Analysis Mohr-Coulomb Criterion (Revisited) Lateral “Pressures” and the Retaining Wall Problem Graphic Analysis and Minimization Slip-Line Theory Purely Cohesive Materials Weightless Material Retaining Wall Solution for (EPS Material) Comparison to the Coulomb Solution Other Special Cases: Slopes and Footings Solutions for Weightless Mohr-Coulomb Materials The General Case An Approximate “Coulomb Mechanism” Problems and Questions Index
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