Stress Wave Propagation in Slender Bars

  • Donald Greenspan
Part of the Modeling and Simulation in Science, Engineering & Technology book series (MSSET)


With the availability of today’s advanced technology, experimental data are often available in various types and forms. It is important to examine as many sources of such data as is reasonable in formulating a particle model. In this chapter, we will show how to incorporate available stress and strain measurements for slender aluminum bars in order to simulate stress wave propagation in such bars. As an important byproduct of the development, we will see that the number of particles N in a particle model need not always be large in order to achieve excellent quantitative results. Indeed, we will require only N= 20. In addition, since N is relatively small, there is no substantial disadvantage in allowing square root routines into the leap frog calculations. So for variety, set the exponent parameters to p=2, q=4.


Compression Wave Particle Model Stress Wave Propagation Compression Peak Exponent Parameter 
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Copyright information

© Birkhäuser Boston 1997

Authors and Affiliations

  • Donald Greenspan
    • 1
  1. 1.Department of MathematicsUniversity of Texas at ArlingtonArlingtonUSA

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