Viscoelastic Stress Analysis in Two and Three Dimensions

  • Hal F. Brinson
  • L. Catherine Brinson


The various approaches to the solution of viscoelastic boundary value problems discussed in the last chapter for bars and beams carry over to the solution of problems in two and three dimensions. In particular, if the solution to a similar problem for an elastic material already exists, the correspondence principle may be invoked and with the use of Laplace or Fourier transforms a solution can be found. Such solutions can be used with confidence but one must be cognizant of the general equations of elasticity and the methods of solutions for elasticity problems in two and three dimensions as well as any assumptions that might often be applied. To provide all of the necessary information and background for multidimensional elasticity theory is beyond the scope of this text but the procedures needed will be outlined in the following sections.


Bulk Modulus Viscoelastic Material Hoop Stress Relaxation Modulus Correspondence Principle 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Hal F. Brinson
    • 1
  • L. Catherine Brinson
    • 2
  1. 1.Department of Mechanical EngineeringUniversity of HoustonAshevilleUSA
  2. 2.Department of Mechanical EngineeringNorthwestern UniversityEvanstonUSA

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