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Contact problems for elastic bodies with initial stresses (rigid punches)

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Soviet Applied Mechanics Aims and scope

Conclusions

In this work, the results are presented of investigations into contact problems for prestressed solids with special reference to rigid punches. It should be mentioned that in the last 5–6 years further investigations into the contact problems for solids with inifial stresses with special reference to elastic punches using the formulation of the second approach, i. e., in the general united form for compressible and incompressible solids with elastic potentials of the arbitrary structure, were also carried out by the authors of this article.

The authors believe that further progress in the development of the mechanics of contact interaction of prestressed solids (both for rigid and elastic punches) is determined by examination of more complicated problem groups (for elastic, viscoelastic, and plastic solids), and by carrying out experiments to determine the strength of the effect of the initial stresses on the main characteristics of contact interaction of the structural material. It is also evident that, from the practical viewpoint, it is interesting to carry out these investigations for nonhomogeneous initial states. However, this is associated with considerable mathematical problems, even in theoretical developments and, these problems are even greater in application in practice.

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Authors
  1. S. Yu. Babich
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  2. A. N. Guz'
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  3. V. B. Rudnitskii
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Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Khmel'nitsk Technological Institute of Household Maintenance. Translated from Prikladnaya Mekhanika, Vol. 25, No. 8, pp. 3–18, August, 1989.

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Babich, S.Y., Guz', A.N. & Rudnitskii, V.B. Contact problems for elastic bodies with initial stresses (rigid punches). Soviet Applied Mechanics 25, 735–748 (1989). https://doi.org/10.1007/BF00887636

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