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Mechanics of Continuous Solids

  • Dallas N. LittleEmail author
  • David H. Allen
  • Amit Bhasin
Chapter

Abstract

This chapter introduces notation necessary for designing flexible pavements using mechanics. In addition, mathematics concepts necessary for the purpose of modeling flexible pavements are reviewed. The independent variables \( \vec{x} \) and t are described, and field variables are introduced for the purpose of modeling the performance of flexible pavements. A number of field equations are also introduced that must be satisfied in order to predict the performance of flexible pavements.

Keywords

Mechanics Continuum Continuum mechanics Index notation Vectors Tensors Linearity Laplace transforms Carson transforms Heaviside step function Convolution integral Dirac delta function Divergence theorem Kinematics Strain Reynolds transport theorem Kinetics Stress tensor Stress transformations Traction vector Principal stresses Deviatoric stresses Mohr’s circle Conservation laws 

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Dallas N. Little
    • 1
    Email author
  • David H. Allen
    • 1
  • Amit Bhasin
    • 2
  1. 1.Texas A&M UniversityCollege StationUSA
  2. 2.The University of Texas at AustinAustinUSA

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