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Intermediate solid mechanics / Vlado A. Lubarda, Marco A. Lubarda.

"Intermediate Solid Mechanics represents a concise yet comprehensive treatment of the fundamentals of the mechanics of solids. It is intended as a textbook for an upper-division undergraduate course in solid mechanics, which comes after an introductory strength of materials course in mechanical...

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Bibliographic Details
Online Access: Full Text (via Cambridge)
Main Authors: Lubarda, Vlado A. (Author), Lubarda, Marco A., 1983- (Author)
Format: Electronic eBook
Language:English
Published: Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2020.
Subjects:
Solid state physics.
Table of Contents:
  • Cover
  • Half-title
  • Endorsement
  • Title page
  • Copyright information
  • Contents
  • Preface
  • Part I Fundamentals of Solid Mechanics
  • 1 Analysis of Stress
  • 1.1 Traction Vector
  • 1.2 Cauchy Relation for Traction Vectors
  • 1.3 Normal and Shear Stresses over an Inclined Plane
  • 1.3.1 Two-Dimensional State of Stress
  • 1.4 Tensorial Nature of Stress
  • 1.5 Principal Stresses: 2D State of Stress
  • 1.6 Maximum Shear Stress: 2D Case
  • 1.7 Mohr's Circle for 2D State of Stress
  • 1.8 Principal Stresses: 3D State of Stress
  • 1.9 Maximum Shear Stress: 3D Case
  • 1.10 Mohr's Circles for 3D State of Stress
  • 1.11 Deviatoric and Spherical Parts of Stress
  • 1.12 Octahedral Shear Stress
  • 1.13 Differential Equations of Equilibrium
  • 1.13.1 Boundary Conditions
  • 1.13.2 Statical Indeterminacy
  • Problems
  • 2 Analysis of Strain
  • 2.1 Longitudinal and Shear Strains
  • 2.2 Tensorial Nature of Strain
  • 2.3 Dilatation and Shear Strain for Arbitrary Directions
  • 2.4 Principal Strains
  • 2.5 Maximum Shear Strain
  • 2.6 Areal and Volumetric Strains
  • 2.7 Deviatoric and Spherical Parts of Strain
  • 2.8 Strain-Displacement Relations
  • 2.9 Saint-Venant Compatibility Conditions
  • 2.10 Rotation Tensor
  • 2.10.1 Simple Shear
  • 2.11 Determination of Displacements from the Strain Field
  • Problems
  • 3 Stress-Strain Relations
  • 3.1 Linear Elasticity and Hooke's Law
  • 3.2 Generalized Hooke's Law
  • 3.3 Shear Stress-Strain Relations
  • 3.4 Pressure-Volume Relation
  • 3.5 Inverted Form of the Generalized Hooke's Law
  • 3.5.1 Incompressible Materials
  • 3.5.2 Relationships Among Elastic Constants
  • 3.6 Deviatoric Stress
  • Deviatoric Strain Relations
  • 3.7 Beltrami-Michell Compatibility Equations
  • 3.8 Hooke's Law with Temperature Effects: Duhamel-Neumann Law
  • 3.9 Stress Compatibility Equations with Temperature Effects
  • 3.10 Plane Strain with Temperature Effects
  • 3.10.1 Nonuniform Temperature Field
  • Problems
  • 4 Boundary-Value Problems of Elasticity
  • 4.1 Boundary-Value Problem in Terms of Stresses
  • 4.2 Boundary-Value Problem in Terms of Displacements: Navier Equations
  • 4.2.1 Boundary Conditions
  • 4.3 Principle of Superposition
  • 4.4 Semi-Inverse Method of Solution
  • 4.5 Saint-Venant's Principle
  • 4.6 Stretching of a Prismatic Bar by Its Own Weight

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