Non-axisymmetric frictionless indentation of a transversely isotropic elastic half-space

Ivan Argatov; Gennady Mishuris

doi:10.1007/978-3-319-78533-2_2

Non-axisymmetric frictionless indentation of a transversely isotropic elastic half-space

Ivan Argatov^*, Gennady Mishuris

^*Corresponding author for this work

Technische Universität Berlin

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

In this chapter, we consider non-axisymmetric frictionless unilateral contact and develop a generalization of the BASh relation, which accounts for non-circular contact areas. An important case of non-axisymmetric contact is characterized by a class of self-similar indenters, for which we outline a similarity analysis by Borodich (J Appl Math Mech 47:519–521, 1983 [9]), (Sov Appl Mech 26:631–636, 1990 [10]), where special attention is paid to pyramidal indenters.

Original language	English
Title of host publication	Indentation Testing of Biological Materials
Publisher	Springer Nature
Pages	29-51
Number of pages	23
DOIs	https://doi.org/10.1007/978-3-319-78533-2_2
Publication status	Published - 2018

Publication series

Name	Advanced Structured Materials
Volume	91
ISSN (Print)	1869-8433
ISSN (Electronic)	1869-8441

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title = "Non-axisymmetric frictionless indentation of a transversely isotropic elastic half-space",

abstract = "In this chapter, we consider non-axisymmetric frictionless unilateral contact and develop a generalization of the BASh relation, which accounts for non-circular contact areas. An important case of non-axisymmetric contact is characterized by a class of self-similar indenters, for which we outline a similarity analysis by Borodich (J Appl Math Mech 47:519–521, 1983 [9]), (Sov Appl Mech 26:631–636, 1990 [10]), where special attention is paid to pyramidal indenters.",

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AB - In this chapter, we consider non-axisymmetric frictionless unilateral contact and develop a generalization of the BASh relation, which accounts for non-circular contact areas. An important case of non-axisymmetric contact is characterized by a class of self-similar indenters, for which we outline a similarity analysis by Borodich (J Appl Math Mech 47:519–521, 1983 [9]), (Sov Appl Mech 26:631–636, 1990 [10]), where special attention is paid to pyramidal indenters.

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ER -

Non-axisymmetric frictionless indentation of a transversely isotropic elastic half-space

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