Coupled Contact Problem of Punch Pressure Under Action of Follower Force

A coupled contact problem involving the interaction of a punch with a half-space under a follower load has been considered. The punch is pressed against the elastic half-space by a force that acts parallel to the punch axis and is offset from the center of the punch base. The direction of the force...

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Bibliographic Details
Published inInternational applied mechanics Vol. 60; no. 3; pp. 341 - 348
Main Authors Kuz’menko, V. I., Plashenko, S. O.
Format Journal Article
LanguageEnglish
Published New York Springer US 2024
Springer Nature B.V
Subjects
Applications of Mathematics
Contact angle
Contact pressure
Elastic half spaces
Engineering
Exact solutions
coupled problem
elastic half-space
contact problem
follower force
punch rotation
circular punch
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Summary:A coupled contact problem involving the interaction of a punch with a half-space under a follower load has been considered. The punch is pressed against the elastic half-space by a force that acts parallel to the punch axis and is offset from the center of the punch base. The direction of the force remains unchanged relative to the punch as the force increases, thus defining it as a follower force.Amathematical model has been formulated, and an analytical solution has been obtained. The specific motion behavior of the punch under increasing force has been analyzed, including the determination of the maximum angle of rotation. The variation in the horizontal motion of the punch depending on the applied force has been studied. Additionally, having considered a modification of the problem where the force direction is reversed, significant differences in the punch displacement have been found.
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-024-01287-5