Impact and contact stress analysis in multilayer media 

 -  International Journal of Solids and Structures, 8(11), p.1257-1281, 1972 .
<br/><br/> The contact problem in a multilayer medium is analyzed based upon classical elasticity theory. The mixed boundary value problem is reformulated into a general approximation technique suitable for calculation on a digital computer. The Boussinesq problem demonstrates that this approximate method is much more accurate than an "exact" analysis recently published. A second example, which is most commonly applied in engineering practice, involves the parabolic punch. Numerical results are presented for both examples, to illustrate the physically significant effects of soft and hard layers and different layer thicknesses. The analysis is then extended to quasi-static impact. Results of experiments dropping a steel ball on nylon and rubber layers over a granite base are given and good agreement is found between the analytical and experimental results.